A short stop makes an error by dropping the ball. As the ball drops, its height (h) in feet, as a function of time (t) is modeled by h(t) = -16t2 + 3. A slow motion replay of the error shows the play at half speed. What function describes the height of the ball in the replay? (Hint: The function squares the time, so half the time is also squared in the new function.)A)h(t) = -16(0.5t)2 + 1.5
B)h(t) = (-16t2 + 3)/2
C)h(t) = -16(t/2)2 + 3
D)h(t) = -8(t)2 + 3
Answers
Final answer:
The correct function that describes the height of the ball on a replay that runs at half speed is h(t) = -16(t/2)^2 + 3. This is because the time in the original function enters as a square, so it must be halved before being squared.
Explanation:
In this problem, a slow motion replay means the time factor is slowed down by a half. The original function is h(t) = -16t2 + 3. However, the time factor isn't just halved, it's halved before being squared, because time enters the function as a square. So in the replay function, every instance of t in the original function is replaced with 0.5t or t/2. Hence, the correct option that describes the height of the ball in the replay is h(t) = -16(t/2)2 + 3.
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cone. What is the expression for the volume of the pyramid in terms of the radius r of the cone?
base area for cone= B
base area for pyramid= B, 3r heigh
A. V = pi r³
B. V = 1/3 pi r²
C. V = 2 pi r²
D. V = 1/9 pi r³
E. V = 3 pi r³
Answers
The expression for the volume of the pyramid in terms of the radius r of the cone is . So, option A is correct.
The cone is a three-dimensional figure with a vertex and a flat base.
The volume of a pyramid is given by the formula:
Given that:
The base area of the pyramid = B
The height is 3r
The base area of the pyramid is the same as that of the cone.
The base of the cone =
The volume of the pyramid is calculated as:
V =
Therefore, the volume of the pyramid is . So, option A is correct.
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Answer:
The answer is A. V=pi r³
Step-by-step explanation:
:)
Answers
all you do is draw a line and put numbers on it
Answers
y+6=5x
(y+6)/5=x
x=(y+6)/5
Answers
Answer:
Addition:::::4x^3-10x^2+10x-12
Answer:
See below
Step-by-step explanation:
● (7x^3 - 2x^2 -12) + (-3x^3 - 8x^2 +10x)
● 7x^3 - 2x^2 - 12- 3x^3 - 8x^2 + 10x
Combine like terms
● 7x^3 - 3x^3 -2x^2 - 8x^2 -12 + 10x
● 4x^3 - 10x^3 +10x -12
A = (1,0) B = (5,2)
Answers
Find the change in c and the change in y so the change in x is 4 units and the change in y is 2 units. Divide both chnages by two and add them to the factors of A.
4/2=2 and 2/2=1
(1,0) + (2,1) = (3,1)
-circle
-pentagon
-trapezoid
-triangle
-rectangle
Answers
A circle.
Explanation:
Since a cube has no curved faces, a plane will not be able to intersect a cube in such a way to create a cross section with any curves. This eliminates circle.
A square is created when a cube is intersected by a plane parallel to its base.
A pentagon is created when a cube is intersected by a plane in all but 1 face.
A trapezoid is created when a cube is intersected by a plane in 2 pairs of opposite faces, at an angle.
A triangle is created when a cube is intersected by a plane in 3 adjacent faces.
A rectangle is created when a cube is intersected by a plane in 2 pairs of opposite faces.
Answer:
Step-by-step explanation:
circle, octagon