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6,701 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -0.4336 x + -18.47 at x = 3.46 | The linear relation y = m x + b with slope m = -0.4336 and intercept b = -18.47 evaluated at x = 3.46 yields y = -19.97. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,702 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -3.321 x + 15.99 at x = -6.482 | The linear relation y = m x + b with slope m = -3.321 and intercept b = 15.99 evaluated at x = -6.482 yields y = 37.52. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,703 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 2.465 x + 14.1 at x = -4.634 | The linear relation y = m x + b with slope m = 2.465 and intercept b = 14.1 evaluated at x = -4.634 yields y = 2.679. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,704 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -3.174 x + 0.9434 at x = -0.7863 | The linear relation y = m x + b with slope m = -3.174 and intercept b = 0.9434 evaluated at x = -0.7863 yields y = 3.439. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,705 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -1.059 x + -14.39 at x = 6.529 | The linear relation y = m x + b with slope m = -1.059 and intercept b = -14.39 evaluated at x = 6.529 yields y = -21.3. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,706 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 1.114 x + -12.57 at x = -5.068 | The linear relation y = m x + b with slope m = 1.114 and intercept b = -12.57 evaluated at x = -5.068 yields y = -18.22. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,707 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 4.516 x + 7.341 at x = 4.787 | The linear relation y = m x + b with slope m = 4.516 and intercept b = 7.341 evaluated at x = 4.787 yields y = 28.96. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,708 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 3.467 x + 11.58 at x = 6.606 | The linear relation y = m x + b with slope m = 3.467 and intercept b = 11.58 evaluated at x = 6.606 yields y = 34.49. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,709 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -2.778 x + 17.62 at x = 0.9236 | The linear relation y = m x + b with slope m = -2.778 and intercept b = 17.62 evaluated at x = 0.9236 yields y = 15.06. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,710 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 4.015 x + 2.904 at x = -7.938 | The linear relation y = m x + b with slope m = 4.015 and intercept b = 2.904 evaluated at x = -7.938 yields y = -28.97. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,711 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -0.951 x + -9.571 at x = 3.689 | The linear relation y = m x + b with slope m = -0.951 and intercept b = -9.571 evaluated at x = 3.689 yields y = -13.08. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,712 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 4.16 x + -12.54 at x = 5.23 | The linear relation y = m x + b with slope m = 4.16 and intercept b = -12.54 evaluated at x = 5.23 yields y = 9.221. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,713 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 2.224 x + 17.29 at x = -6.442 | The linear relation y = m x + b with slope m = 2.224 and intercept b = 17.29 evaluated at x = -6.442 yields y = 2.958. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,714 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 4.45 x + -4.437 at x = 9.373 | The linear relation y = m x + b with slope m = 4.45 and intercept b = -4.437 evaluated at x = 9.373 yields y = 37.27. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,715 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -3.281 x + 17.84 at x = -5.567 | The linear relation y = m x + b with slope m = -3.281 and intercept b = 17.84 evaluated at x = -5.567 yields y = 36.11. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,716 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 1.946 x + -6.267 at x = 2.159 | The linear relation y = m x + b with slope m = 1.946 and intercept b = -6.267 evaluated at x = 2.159 yields y = -2.066. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,717 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 1.864 x + -15.91 at x = 7.209 | The linear relation y = m x + b with slope m = 1.864 and intercept b = -15.91 evaluated at x = 7.209 yields y = -2.471. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,718 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 4.396 x + -15.75 at x = 4.212 | The linear relation y = m x + b with slope m = 4.396 and intercept b = -15.75 evaluated at x = 4.212 yields y = 2.765. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,719 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -1.308 x + -18.97 at x = 2.916 | The linear relation y = m x + b with slope m = -1.308 and intercept b = -18.97 evaluated at x = 2.916 yields y = -22.79. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,720 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 0.1893 x + 18.25 at x = 8.992 | The linear relation y = m x + b with slope m = 0.1893 and intercept b = 18.25 evaluated at x = 8.992 yields y = 19.95. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,721 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 0.5868 x + -19.37 at x = -3.591 | The linear relation y = m x + b with slope m = 0.5868 and intercept b = -19.37 evaluated at x = -3.591 yields y = -21.48. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,722 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -0.1223 x + 7.204 at x = 6.497 | The linear relation y = m x + b with slope m = -0.1223 and intercept b = 7.204 evaluated at x = 6.497 yields y = 6.409. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,723 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -2.758 x + -12.23 at x = 2.563 | The linear relation y = m x + b with slope m = -2.758 and intercept b = -12.23 evaluated at x = 2.563 yields y = -19.3. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,724 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -3.8 x + 7.017 at x = 0.2462 | The linear relation y = m x + b with slope m = -3.8 and intercept b = 7.017 evaluated at x = 0.2462 yields y = 6.081. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,725 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 0.7696 x + 17.05 at x = -7.736 | The linear relation y = m x + b with slope m = 0.7696 and intercept b = 17.05 evaluated at x = -7.736 yields y = 11.1. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,726 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -0.1878 x + -0.63 at x = -9.062 | The linear relation y = m x + b with slope m = -0.1878 and intercept b = -0.63 evaluated at x = -9.062 yields y = 1.072. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,727 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 0.2154 x + 8.187 at x = 1.64 | The linear relation y = m x + b with slope m = 0.2154 and intercept b = 8.187 evaluated at x = 1.64 yields y = 8.541. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,728 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -2.309 x + -18.49 at x = 6.771 | The linear relation y = m x + b with slope m = -2.309 and intercept b = -18.49 evaluated at x = 6.771 yields y = -34.12. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,729 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -2.898 x + -7.697 at x = -3.495 | The linear relation y = m x + b with slope m = -2.898 and intercept b = -7.697 evaluated at x = -3.495 yields y = 2.432. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,730 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -0.4632 x + -6.929 at x = -3.445 | The linear relation y = m x + b with slope m = -0.4632 and intercept b = -6.929 evaluated at x = -3.445 yields y = -5.334. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,731 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -3.928 x + 9.157 at x = -2.678 | The linear relation y = m x + b with slope m = -3.928 and intercept b = 9.157 evaluated at x = -2.678 yields y = 19.68. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,732 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 3.861 x + 12.7 at x = -0.4829 | The linear relation y = m x + b with slope m = 3.861 and intercept b = 12.7 evaluated at x = -0.4829 yields y = 10.84. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,733 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 3.459 x + 0.981 at x = -5.237 | The linear relation y = m x + b with slope m = 3.459 and intercept b = 0.981 evaluated at x = -5.237 yields y = -17.13. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,734 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -0.7375 x + 14.06 at x = -9.084 | The linear relation y = m x + b with slope m = -0.7375 and intercept b = 14.06 evaluated at x = -9.084 yields y = 20.76. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,735 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 4.598 x + -9.37 at x = 6.932 | The linear relation y = m x + b with slope m = 4.598 and intercept b = -9.37 evaluated at x = 6.932 yields y = 22.5. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,736 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 1.971 x + 5.732 at x = -7.818 | The linear relation y = m x + b with slope m = 1.971 and intercept b = 5.732 evaluated at x = -7.818 yields y = -9.679. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,737 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 4.504 x + 11.7 at x = -9.296 | The linear relation y = m x + b with slope m = 4.504 and intercept b = 11.7 evaluated at x = -9.296 yields y = -30.17. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,738 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -1.461 x + -1.735 at x = 2.314 | The linear relation y = m x + b with slope m = -1.461 and intercept b = -1.735 evaluated at x = 2.314 yields y = -5.117. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,739 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 4.48 x + -15.12 at x = 1.835 | The linear relation y = m x + b with slope m = 4.48 and intercept b = -15.12 evaluated at x = 1.835 yields y = -6.9. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,740 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -0.2711 x + -17.59 at x = 4.65 | The linear relation y = m x + b with slope m = -0.2711 and intercept b = -17.59 evaluated at x = 4.65 yields y = -18.86. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,741 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -3.684 x + -0.8794 at x = -4.566 | The linear relation y = m x + b with slope m = -3.684 and intercept b = -0.8794 evaluated at x = -4.566 yields y = 15.94. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,742 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -3.702 x + 13.79 at x = 0.5357 | The linear relation y = m x + b with slope m = -3.702 and intercept b = 13.79 evaluated at x = 0.5357 yields y = 11.8. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,743 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 3.565 x + -6.067 at x = -6.744 | The linear relation y = m x + b with slope m = 3.565 and intercept b = -6.067 evaluated at x = -6.744 yields y = -30.11. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,744 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -3.632 x + -6.764 at x = 6.182 | The linear relation y = m x + b with slope m = -3.632 and intercept b = -6.764 evaluated at x = 6.182 yields y = -29.21. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,745 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 3.094 x + -2.874 at x = -8.833 | The linear relation y = m x + b with slope m = 3.094 and intercept b = -2.874 evaluated at x = -8.833 yields y = -30.2. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,746 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -1.755 x + 10.92 at x = 0.1288 | The linear relation y = m x + b with slope m = -1.755 and intercept b = 10.92 evaluated at x = 0.1288 yields y = 10.69. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,747 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 2.923 x + -2.009 at x = -1.156 | The linear relation y = m x + b with slope m = 2.923 and intercept b = -2.009 evaluated at x = -1.156 yields y = -5.388. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,748 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -2.013 x + -13.3 at x = -0.1458 | The linear relation y = m x + b with slope m = -2.013 and intercept b = -13.3 evaluated at x = -0.1458 yields y = -13. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,749 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -1.621 x + -6.509 at x = 4.816 | The linear relation y = m x + b with slope m = -1.621 and intercept b = -6.509 evaluated at x = 4.816 yields y = -14.32. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,750 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 1.693 x + 1.654 at x = -3.209 | The linear relation y = m x + b with slope m = 1.693 and intercept b = 1.654 evaluated at x = -3.209 yields y = -3.78. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,751 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 0.8832 x + 18.58 at x = 5.932 | The linear relation y = m x + b with slope m = 0.8832 and intercept b = 18.58 evaluated at x = 5.932 yields y = 23.82. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,752 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -1.827 x + 8.507 at x = 2.273 | The linear relation y = m x + b with slope m = -1.827 and intercept b = 8.507 evaluated at x = 2.273 yields y = 4.355. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,753 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -3.222 x + -14.84 at x = 9.16 | The linear relation y = m x + b with slope m = -3.222 and intercept b = -14.84 evaluated at x = 9.16 yields y = -44.36. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,754 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 4.105 x + 18.71 at x = 6.248 | The linear relation y = m x + b with slope m = 4.105 and intercept b = 18.71 evaluated at x = 6.248 yields y = 44.35. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,755 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = -0.7189 x + -6.708 at x = -7.277 | The linear relation y = m x + b with slope m = -0.7189 and intercept b = -6.708 evaluated at x = -7.277 yields y = -1.476. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,756 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 3.51 x + 15.3 at x = -9.143 | The linear relation y = m x + b with slope m = 3.51 and intercept b = 15.3 evaluated at x = -9.143 yields y = -16.79. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,757 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 3.016 x + -5.1 at x = -5.409 | The linear relation y = m x + b with slope m = 3.016 and intercept b = -5.1 evaluated at x = -5.409 yields y = -21.41. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,758 | mathematics | algebra | linear_relation | 2 | worked_example | Evaluate linear function y = 1.473 x + -10.72 at x = 9.169 | The linear relation y = m x + b with slope m = 1.473 and intercept b = -10.72 evaluated at x = 9.169 yields y = 2.794. Linear models appear throughout science whenever a rate of change is approximately constant. | y = m x + b | basic arithmetic | Evaluate and interpret a linear function in a scientific context. |
6,759 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 3.7457e-05 | The common logarithm log₁₀(3.7457e-05) = -4.426. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,760 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 3.3765e+04 | The common logarithm log₁₀(3.3765e+04) = 4.528. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,761 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 3.9537e+04 | The common logarithm log₁₀(3.9537e+04) = 4.597. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,762 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 8412 | The common logarithm log₁₀(8412) = 3.925. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,763 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 3906 | The common logarithm log₁₀(3906) = 3.592. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,764 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 2.6413e+04 | The common logarithm log₁₀(2.6413e+04) = 4.422. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,765 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 6.7750e-06 | The common logarithm log₁₀(6.7750e-06) = -5.169. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,766 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 1.1664e-06 | The common logarithm log₁₀(1.1664e-06) = -5.933. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,767 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 0.012 | The common logarithm log₁₀(0.012) = -1.921. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,768 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 2.5437e-06 | The common logarithm log₁₀(2.5437e-06) = -5.595. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,769 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 2.8125e-04 | The common logarithm log₁₀(2.8125e-04) = -3.551. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,770 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 39.45 | The common logarithm log₁₀(39.45) = 1.596. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,771 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 4.64 | The common logarithm log₁₀(4.64) = 0.6666. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,772 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 1.5339e-04 | The common logarithm log₁₀(1.5339e-04) = -3.814. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,773 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 1.6012e-05 | The common logarithm log₁₀(1.6012e-05) = -4.796. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,774 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 0.004357 | The common logarithm log₁₀(0.004357) = -2.361. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,775 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 1.6348e+04 | The common logarithm log₁₀(1.6348e+04) = 4.213. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,776 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 1.984 | The common logarithm log₁₀(1.984) = 0.2975. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,777 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 0.03952 | The common logarithm log₁₀(0.03952) = -1.403. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,778 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 10.89 | The common logarithm log₁₀(10.89) = 1.037. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,779 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 8.7338e+05 | The common logarithm log₁₀(8.7338e+05) = 5.941. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,780 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 0.7719 | The common logarithm log₁₀(0.7719) = -0.1124. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,781 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 0.9886 | The common logarithm log₁₀(0.9886) = -0.004986. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,782 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 1.5999e+04 | The common logarithm log₁₀(1.5999e+04) = 4.204. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,783 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 7.6835e+05 | The common logarithm log₁₀(7.6835e+05) = 5.886. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,784 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 4.6241e-04 | The common logarithm log₁₀(4.6241e-04) = -3.335. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,785 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 0.2444 | The common logarithm log₁₀(0.2444) = -0.6119. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,786 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 44.45 | The common logarithm log₁₀(44.45) = 1.648. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,787 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 0.1962 | The common logarithm log₁₀(0.1962) = -0.7072. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,788 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 2.4745e+05 | The common logarithm log₁₀(2.4745e+05) = 5.393. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,789 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 52.21 | The common logarithm log₁₀(52.21) = 1.718. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,790 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 6.2583e-05 | The common logarithm log₁₀(6.2583e-05) = -4.204. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,791 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 1.1923e-06 | The common logarithm log₁₀(1.1923e-06) = -5.924. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,792 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 0.02486 | The common logarithm log₁₀(0.02486) = -1.604. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,793 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 1.527 | The common logarithm log₁₀(1.527) = 0.1838. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,794 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 732.8 | The common logarithm log₁₀(732.8) = 2.865. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,795 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 1.0292e-04 | The common logarithm log₁₀(1.0292e-04) = -3.987. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,796 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 0.02667 | The common logarithm log₁₀(0.02667) = -1.574. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,797 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 3.2345e-04 | The common logarithm log₁₀(3.2345e-04) = -3.49. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,798 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 3.1937e+05 | The common logarithm log₁₀(3.1937e+05) = 5.504. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,799 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 2.041 | The common logarithm log₁₀(2.041) = 0.3099. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
6,800 | mathematics | logarithms | common_logarithm | 3 | worked_example | Common logarithm of 4620 | The common logarithm log₁₀(4620) = 3.665. Logarithms convert multiplicative relationships into additive ones and are indispensable for expressing quantities that span many orders of magnitude (pH, sound intensity, stellar magnitudes, earthquake energy). | log10(x) | exponents | Compute and interpret common logarithms of scientific quantities. |
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