Answer: 39.9797217047
Step-by-step explanation:
2πr = 251.2
πr = 125.6
r = 39.9797217047
Answer: 6x- 2
Explanation: 2 less means (- 2) a number times 6 can be written as 6x
Answer: x = 10.18
Step-by-step explanation:
7ex – 9 = 10
(x-9)*ln7 = ln 10
x-9 = 2.30/1.95
x = 10.18
Answer:
B. The number of possible pizzas that can be made with 12 possible toppings.
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
