One of the closest answers would be 3.010
Answer:
h(t) = -16t² + 200
distance = 56 ft
Step-by-step explanation:
First of all, we know that the initial velocity (v0) of the rock is 0 ft/s because the rock was dropped. We also know that the initial height of the rock is 200 ft because it was dropped at the top of the well which is 200 ft high. Plugging this information into our quadratic function we get h(t) = -16t² + 200.
Now we need to find the distance from the surface of the water to the bottom of the well. This distance is equal to the height of the rock at time equals 3 seconds. Therefore, all we need to do is find h(3) = -16(3)² + 200 = 56 ft.
To find the probability of selecting a horse in the barn, we need to know the total number of horses and the number in the barn.
To find the total, add the values in the "Total" row:
16 + 11 + 12 + 39 = 78
To find the number of horses in the barn, add the values in the "In the barn" row:
4 + 2 + 7 + 13 = 26
Now divide 26 by 78 to find the probability:
26/78 = 1/3 or about 33%
The answer is 33%
Answer:
x = 4
Step-by-step explanation:
Given y varies inversely as x then the equation relating them is
y =
← k is the constant of variation
To find k use the condition y = 8 when x = 10
k = yx = 8 × 10 = 80
y =
← equation of variation
When y = 4, then
4 =
( multiply both sides by x )
4x = 80 ( divide both sides by 4 )
x = 20