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Marta_Voda [28]

3 years ago

8

What is the volume of the cylinder?

1 answer:

elena-s [515]3 years ago

3 0

Volume = pi×r^2×h
= 64 × 4 × pi
= 256pi units^3

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What are the three choices equivalent to 27^4/3

12345 [234]

the answers are B,D and F

8 0

3 years ago

What is 3a+22.5h*37q? im lost plz help

erik [133]

The answer is 185hq+3a

7 0

3 years ago

Please solve the following quadratic equation and show your work: x^2 -x =30

saveliy_v [14]

Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
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8 0

3 years ago

The population of a community is known to increase at a rate proportional to the number of people present at time t. If the popu

Lady bird [3.3K]

Answer:

$P(t) = P(0)e^{0.0693t}$

Step-by-step explanation:

The population of a community is known to increase at a rate proportional to the number of people present at time t.

This means that the population growth is modeled by the following differential equation:

$\frac{dP(t)}{dt} = rP(t)$

Which has the following solution:

$P(t) = P(0)e^{rt}$

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The population has doubled in 10 years

This means that $P(10) = 2P(0)$ . We use this to find r.

$P(t) = P(0)e^{rt}$

$2P(0) = P(0)e^{10r}$

$e^{10r} = 2$

$\ln{e^{10r}} = \ln{2}$

$10r = \ln{2}$

$r = \frac{\ln{2}}{10}$

$r = 0.0693$

So the equation that will estimate the population of the community in t years is:

$P(t) = P(0)e^{0.0693t}$

6 0

3 years ago

Graph y=sinx and y=cosx in the same viewing window. Which function could be the derivative of the other? Defend answer in terms

lesya [120]

Cos x is the derivative of sin x.

8 0

4 years ago