Answer:
6 cm
Step-by-step explanation:
Given the information :
V=720 cm
L=?
P=15 cm
T=8 cm
The volume = L * P * T
V = L * P * T
720 = L * 15 * 8
720 = L * 120
L = 720 / 120
L = 6 cm
Here is the equation:

You need to find f(3). To do that, substitute all the x's with 3:

The first thing you need to do is multiply 4 by 3. Multiply:

Here is your new equation:

To get your answer, you need to add 12 and 1. Add:

That means:

<em>If you have any questions, feel free to ask in the comments! :)</em>
Answer:
Suppose an aerial freestyle skier goes off a ramp with her path represented by the equation y=−0.024(x−25)2+40. If the surface of the mountain is represented by the linear equation y=−0.5x+25, find the distance in feet the skier lands from the beginning
Answer:
The question is incomplete, so I will describe the sine regression model.
The function
y = 0.884 sin(0.245x - 1.093) + 0.400
correspond to the general equation:
y = a sin(bx - c) + d
where:
a = 0.884
b = 0.245
c = 1.093
d = 0.400
The amplitude of the function is computed as follows:
amplitude = |a| = 0.884
The period of the function is computed as follows:
period = 2π/|b| = 25.6456
The phase shift of the function is computed as follows:
phase shift = c/b = 4.4612 to the right (because there is a minus sign before c in the equation)
The vertical shift of the function is computed as follows:
vertical shift = d = 0.400
Answer:
One- half
Step-by-step explanation:
Since the density is uniform
Mass of the sphere = [(4/3) π r^3] d
where d is the uniform density.
Mass of the sphere = [(4/3) π d] r^3 = k r^3
where k = [(4/3) π d] is a constant
Weight = mg = G m M / r^2 = G m [k r^3] /r^2 = G m k r
Using Gauss’ law for gravitation,
Half way to the center of a planet the weight is only due to the inner sphere and the outer sphere does not contribute to his weight,
Inside his weight is mg’ = (G m k r) /2 = mg/2
Answer is one-half.