Answer:
dV/dt = 40π
Step-by-step explanation:
We are told that The radius r(t) of the base of a cone is increasing at a rate of 10 meters per second. Thus;
dr/dt = 10 m
Height: h = 6 m
Volume of cone is given by the formula;
V = ⅓πr²h
dV/dr = ⅔πrh
We want to find the rate at which the volume is changing at radius of 1m.
Thus;
dV/dt = (dV/dr) × (dr/dt)
dV/dt = ⅔π(1 × 6) × (10)
dV/dt = 40π
Answer:
Option D, 2x^2y(x - 1)(x^2 + x + 1)
Step-by-step explanation:
<u>Step 1: Factor</u>
2x^5y - 2x^2y
2x^2y(x^3 - 1)
<em>2x^2y(x - 1)(x^2 + x + 1)</em>
<em />
Answer: Option D, 2x^2y(x - 1)(x^2 + x + 1)
Parallel because the Y moved 4 units down and the slope hasnt changed
Answer:
D.1.121, 1.21, 1.432, 1.53
Step-by-step explanation:
Look at it as money:
$1.12
$1.21
$1.43
$1.53
We know that D states the money from least to greatest.
Or
We can convert them to fractions by Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
117 gallons of water is equal to 444.6 liters of water.
