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1
What is the period of this function y = a*sin(b*x), where both a and b are integers? Answer the question with a floating-point number.
2.0944
analytic geometry
2
Use the graph to answer the question below. Which month is the hottest on average in Cape Town?
Sep
statistics
3
The players on a quiz show received the following scores. What is the mean of the numbers?
5.75
statistics
4
A real estate agent looked into how many houses were sold in different cities. What is the range of the numbers?
12
statistics
5
Is Dark Magenta greater than Rosy Brown? Choices: (A) yes (B) no
B
statistics
6
Is this a periodic function? Choices: (A) Yes (B) No
A
analytic geometry
7
In the addition sum to the right, three digits have been replaced with star. What is the value of star?
8
arithmetic
8
As shown in the figure, AO is the height of the cone, the bottom radius of the cone OB = 5, the length of AB is 9.434, then the length of AO is ()?
8.0
plane geometry
9
Find the perimeter of orange square.
12
plane geometry
10
Find the perimeter of the orange triangle.
12
plane geometry
11
As shown in the figure, lines AB and CD intersect at point O. OF bisects ∠AOC. If ∠AOF = 61, then what is the degree of ∠AOD?
58
plane geometry
12
What is the period of this function y = a*cos(b*x), where both a and b are integers? Answer the question with a floating-point number.
3.1416
analytic geometry
13
As shown in the figure, AI, BI, and CI bisect ∠BAC, ∠ABC, and ∠ACB, respectively. ID is perpendicular to BC. The perimeter of △ABC is 18, and ID = 3. What is the area of △ABC
27.0
plane geometry
14
The period of the red curve is ____ that of the blue curve. Choices: (A) larger than (B) equal to (C) smaller than
C
analytic geometry
15
how many zeros this function has? choice: (A) 2 (B) 1 (C) 0
B
analytic geometry
16
Find the value of the last row of calculations.
12
algebra
17
Find the area of the blue square.
64
plane geometry
18
Find the area of this triangle. Answer the question with a floating-point number.
3.8971
plane geometry
19
What is the sum of accuracies of the bar group poison for all the datasets?
13
statistics
20
How many groups of bars contain at least one bar with a value 1?
2
statistics
21
What time is shown? Please answer in the form like __:__.
4:45
arithmetic
22
What is the difference between the number of black squares and the number of white squares?
1
arithmetic
23
Find the largest zero of this cubic function.
1
analytic geometry
24
As shown in the figure, in triangle △ABC, points D, E, and F are the midpoints of each side. If the area of △ABC is 20 cm², what is the area of △DEF?
5
plane geometry
25
What is the missing computed symbol? Choices: (A) + (B) - (C) * (D) /
A
arithmetic
26
The radius of the circle above is 3 and the angle of sector = 120°. What is the area of the shaded section of the circle?
9.4248
plane geometry
27
A three-quarter sector of a circle of radius 8 inches together with its interior can be rolled up to form the lateral surface area of a right circular cone by taping together along the two radii shown. What is the volume of the cone in cubic inches?
199.4849
solid geometry
28
The two rectangles shown in the picture have the same area. what is the ratio x: y.
0.4
plane geometry
29
Is the number of square even or odd? choice: (A) even (B) odd
B
arithmetic
30
Is purple greater orange? Choices: (A) yes (B) no
B
statistics
31
a, b are two arbitrary number. According to the calculation of first row, find the value of second row of calculations.
22
arithmetic
32
Let ABCD be a cyclic convex quadrilateral, AD = 1, DC = 6, BC = 7, AB = 8. Determine the value of AC * BD
55
plane geometry
33
Is this a monotonic function? choice: (A) Yes (B) No
B
analytic geometry
34
What is the area of this parallelogram?
169.7056
plane geometry
35
Find the value of the black square.
27
arithmetic
36
Find the volume of the rectangular prism.
144
solid geometry
37
What is the value of the largest bar?
8
statistics
38
As shown in the figure, in the right triangle ABC, ∠ACB=90°, D is the midpoint of AB, and AB=5. What is the length of CD?
2.5
plane geometry
39
Is Coral the roughest? choice: (A) Yes (B) No
A
statistics
40
What is the value of the star?
8
algebra
41
What is the perimeter of this parallelogram?
36
plane geometry
42
Is the graph shown connected? choice: (A) Yes (B) No
B
graph theory
43
What fraction of the shape is azure?
0.6667
plane geometry
44
The perimeter of green rectangle is 12 cm.There is a azure square on each side of green rectangle, with each side of the rectangle being the side length of one of the squares. Given that the sum of the areas of the four squares is 36 cm², find the area of the green rectangle.
9
plane geometry
45
In △ABC, D is a point on BC, and BD=3, DC=1, and the area of △ACD is 11. What is the area of △ABC?
44
plane geometry
46
what is the limit of this function as x approches -1?
1
analytic geometry
47
What is the radius of this circle?
1
analytic geometry
48
How much money does Hunter need to buy 1 calendars?
9
statistics
49
In the parallelogram ABCD, ∠A=147. What is the measure of ∠C?
147
plane geometry
50
Which function grows faster? choice: (A) Orange (B) Blue
B
analytic geometry
51
How many black squares need to be coloured in white, so that there are exactly fourth as many black squares as there are white squares?
9
arithmetic
52
Is this function uniform continuous on the interval [-3, 3]? choice: (A) Yes (B) No
A
analytic geometry
53
What is the area of blue ring?
75.3982
plane geometry
54
Is this function symmetric about the y-axis? choice: (A) Yes (B) No
A
analytic geometry
55
Given the diagram, a circle with its center at the origin O intersects the x-axis at points A and B and intersects the positive half of the y-axis at point C. D is a point on the circle O located in the first quadrant. If ∠DAB=30, then what is the measure of ∠OCD?
75
plane geometry
56
Do the two functions intersect? choice: (A) Yes (B) No
A
analytic geometry
57
What is the area of the part enclosed by four rectangles?
81
plane geometry
58
What is the asymptote of the function shown in image?
y = 4
analytic geometry
59
According to image, a card is randomly selected from a standard 52-card deck. Find the probability that the next card selected after selecting this card from the deck is a heart.
0.2549
arithmetic
60
Find the surface area of the rectangular prism.
286
solid geometry
61
Where is the local min or max of the parabola shown in image at?
-0.5
analytic geometry
62
If AD = 2, AB = 6, DC = 8, what is the area of trapezoid ABCD?
14.0
plane geometry
63
The function f(x) is quadratic function. What is the value of f(x) when x = 3?
-34
algebra
64
What is the area enclosed by parabola and x-axis?
166.6667
analytic geometry
65
If the area of the rectangle above is 12, what is the value of x?
4
plane geometry
66
If the perimeter of the rectangle above is 52, what is the value of x?
13
plane geometry
67
If the area of the circle is 16pi, what is the area of the square in circle?
32
plane geometry
68
What is the green curve? choice: (A) a parabola (B) a line (C) a logarithmic function (D) a trigonometric function
A
analytic geometry
69
Is the function convex or concave? choice: (A) convex (B) concave (C) both
B
analytic geometry
70
What is the area of this triangle? Please using Heron's formula to solve this problem
18.3303
plane geometry
71
Move the ruler to measure the length of the line to the nearest centimeter. The line is about (_) centimeters long.
8
arithmetic
72
According to the markov chain shown in the image, what is the probability of the event 'A to B'?
0.1
statistics
73
What is the vertical asymptote of the function shown in image?
x = 0
analytic geometry
74
Find the perimeter of the rectangular prism.
52
solid geometry
75
Are the red line and the blue line parallel? choice: (A) Yes (B) No
B
analytic geometry
76
O is the circumcircle of △ABC, with AB=BC=16. The arc AB is folded down along the chord AB to intersect BC at point D. If point D is the midpoint of BC, What is the length of AC?
11.3137
analytic geometry
77
Find the area of shaded sectors.
8
analytic geometry
78
Is the function differentiable at x = 0? choice: (A) Yes (B) No
A
analytic geometry
79
Is the function continuous at x = 0? choice: (A) Yes (B) No
A
analytic geometry
80
The side of the square is 10 ft. Find the length of diagonal AB
14.1421
plane geometry
81
As shown in the figure, AB is the diameter of ⊙O, point C is on ⊙O, passing point C to draw the tangent of ⊙O and it intersects the extended line of AB at point D. Connect AC. If ∠D = 54, then what is the degree of ∠A?
27.0
plane geometry
82
There is a cycle graph of C6 in the image. Fill the number in the empty slot so that it becomes the integers modulo 6 under addition (Z6).
4
algebra
83
As shown in the figure, points A, O, and B are collinear, and DO is perpendicular to CO. If ∠BOC = 67°, what is the measure of ∠AOD?
23
plane geometry
84
What type of transformation of the left triangle was applied to become the right triangle? choice: (A) flip (B) rotation (C) enlargement (D) reduction
B
plane geometry
85
The image shows a pythagorean tree. If the area of A and B are 74 and 25, what is the area of C?
99
plane geometry
86
Is this function continuous at x = 1? choice: (A) Yes (B) No
B
analytic geometry
87
What is the limit of the function as x approaches 1 from the left side?
-5
analytic geometry
88
What is the limit of the function as x approaches 1 from the right side?
-8
analytic geometry
89
Is the function injective? choice: (A) Yes (B) No
B
algebra
90
Is the function surjective? choice: (A) Yes (B) No
A
algebra
91
According to image, a card is randomly selected from a standard 52-card deck. Find the probability that the next card selected after selecting this card from the deck is a heart.
0.2353
arithmetic
92
Are the red line and the blue line perpendicular to each other? choice: (A) Yes (B) No
B
analytic geometry
93
Given triangle △ABC with internal angle bisectors OB and OC intersecting at point O, if ∠A = 123°, find the measure of ∠BOC.
151.5
plane geometry
94
As shown in the figure, points A, O, and B are collinear, and DE is perpendicular to CO. If ∠BOC = 60°, what is the measure of ∠AOE?
150
plane geometry
95
Two equilateral triangles of different sizes are placed on top of each other so that a hexagon is formed on the inside whose opposite sides are parallel. Four of the side lengths of the hexagon are stated in the diagram. How big is the perimeter of the hexagon?
18
plane geometry
96
What is the distance between the x-intercept and y-intercept of blue line?
5.6569
analytic geometry
97
Find the area of the shaded part.
1.1416
plane geometry
98
Is this function a period function? choice: (A) Yes (B) No
B
analytic geometry
99
Is this function a period function? choice: (A) Yes (B) No
B
analytic geometry
100
Using the food web above, what would happen to the other organisms if the number of tiger were decreased? choice: (A) cheetah will increase (B) hyena will decrease (C) cattle will increase (D) Nothing happen
A
scientific figure
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