Answer:
512
Step-by-step explanation:
8^3 / -4^0
512 / 1
512
Answer:
a) the radius of the balloon increases at a rate of 5.42 in/s
b) the surface area of the balloon increases at a rate of 3 in²/s
Step-by-step explanation:
a) since the volume of a sphere V is
V= 4/3*π*R³
where R= radius , then the rate of change of the volume is
V' = dV/dR= 4*π*R²
using the chain rule
dV/dt = dV/dR*dR/dt
thus
k = 4*π*R² * dR/dt
dR/dt = k/(4*π*R²)
replacing values
dR/dt = k/(4*π*R²) = (33 in³/s) /(4*π*(22 in)²] = 5.42 in/s
then the radius of the balloon increases at a rate of 5.42 in/s
b) since the surface area is
S=4*π*R²
then
S' = dS/dR= 8*π*R
and
dS/dt = dS/dR*dR/dt = 8*π*R * k/(4*π*R²) = 2*k/R
replacing values
dS/dt = 2*k/R = 2*(33 in³/s)/( 22 in) = 3 in²/s
then the surface area of the balloon increases at a rate of 3 in²/s
Answer:
slope is Δy/Δx =
-5/1 = -5
the B intercept is 4
y = -5x + 4
Step-by-step explanation:
Answer:
<h3>B. X=5</h3>
Step-by-step explanation:
To solve this problem, first, you have to isolate the value of x from one side of the equation.
First, divide by 4 from both sides of an equation.
Solve.
|0.5x-2.5|=0
0.5x-2.5=0
x=5
Therefore the correct answer is x=5.
