Answer: B TRUST ME
I AM NOT IMPOSTER
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
We know that x^a / x^b = x^ (a-b)
b^4 / b^ -3 = b^(4 - -3) = b^ (4+3) = b^7
The exponent for b is 7
Answer:
a = 16 π cm² Exact answer
a = 50.24 cm² Decimal approximation
Step-by-step explanation:
Radius of the circle
16/2 = 8
Area of the circle
a = πr²
a = π4²
a = 16 π cm² Exact answer
a = 16 * 3.14
a = 50.24 cm² Decimal approximation
Answer:
a) shown
b) h = [sqrt(17) - (5/2)t]²
c) t = 2sqrt(17)/5 seconds
Step-by-step explanation:
V = pi × r² × h
V = pi × 5² × h
V = 25pi × h
a) dV/dt = dV/dh × dh/dt
-5pi × sqrt(h) = 25pi × dh/dt
dh/dt = -sqrt(h)/5
b) 1/sqrt(h) .dh = -5. dt
2sqrt(h) = -5t + c
t = 0, h = 17
2sqrt(17) = 0 + c
c = 2sqrt(17)
2sqrt(h) = -5t + 2sqrt(17)
sqrt(h) = [2sqrt(17) - 5t] ÷ 2
sqrt(h) = sqrt(17) - (5/2)t
Square both sides
h = [sqrt(17) - (5/2)t]²
c) empty: h = 0
0 = [sqrt(17) - (5/2)t]²
sqrt(17) - (5/2)t = 0
(5/2)t = sqrt(17)
t = 2sqrt(17)/5
t = 1.64924225 seconds
sqrt: square root
True
merry Christmas and a happy new year :)