Answer:
0.0048cm/s
Step-by-step explanation:
Volume of the spherical balloon is expressed as;
dV/dt = dV/dr * dr/dt
Given
dV/dt = 5cm³/s
dV/dr = 4πr²
Since V = 972picm³
972π = 4/3πr³
972 = 4/3r³
4r³ = 972 * 3
r³ = (972 *3)/4
r³ = 729
r = ∛729
r = 9cm
dV/dr = 4π(9)²
dV/dr = 324π
dV/dt = dV/dr * dr/dt
5 = 324πdr/dt
dr/dt = 5/324π
dr/dt = 5/324(3.14)
dr/dt = 5/1017.36
dr/dt = 0.0048cm/s
Answer:
k = 5
Step-by-step explanation:
given f(x) then f(x) + k represents a vertical translation of f(x)
• If k > 0 then a shift of k units up
• If k < 0 then a shift of k units down
f(x) crosses the y- axis at - 2
g(x) crosses the y- axis at 3
Thus g(x) is 5 units vertically up from f(x)
since g(x) = f(x) + k → then k = 5
Answer:
$936
Step-by-step explanation:
Simple interest is money you can earn by initially investing some money (a.k.a the principal). In return, a percentage (a.k.a the interest) of the initial money invested is added to the principal, this is what makes your initial investment grow.
The equation for simple interest is:
I = P x r x t
P = Principal, $2600
r = interest rate, 12%
t = time involved, 3 years
Fill in the values:
2600 × 0.12 × 3 = $936.00
Answer:
24
Step-by-step explanation:
(72/-9) / (-1/3)
72/-9) x (-3/1)
(72)*(-3) = - 216/ -9
= 24
