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3 years ago

Which choice answer is it

Mathematics

1 answer:

fomenos3 years ago

6 0

Answer:

choice 1

Step-by-step explanation:

Given

V = πr²h ( isolate r² by dividing both sides by πh )

$\frac{V}{\pi h}$ = r² ( take the square root of both sides )

$\sqrt{\frac{V}{\pi h} }$ = r ← the positive value of r

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A migrating bird flies 336 miles in 16 hours. How many miles does it fly in 5 hours?

Anna [14]

Answer:

Step-by-step explanation:

336/16 = 21

21 . 5 = 105 miles

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Five less than twice a number is nineteen. What's the number?

spayn [35]

Answer:

n=−7

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Answer quick find the coordinates

Mekhanik [1.2K]

Answer:

(-4, -3), (4, -1), (8, 0), (12, 1)

Step-by-step explanation:

The x- and corresponding y-values are listed in the table. Put each pair in parentheses, x-value first. (That is an ordered pair.)

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4 years ago

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3 years ago

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Find the solution to dy/dt = 7 y satisfying y(9) = 5

AVprozaik [17]

$\rm \dfrac{dy}{dt}=7y,\qquad\qquad\qquad y(9)=5$

I'm not sure what methods you've learned up to this point but one option is to apply separation of variables:

$\rm \dfrac{dy}{y}=7dt$

and then integrate from there,

$\rm ln|y|=7t+c$

exponentiate to isolate y,

$\rm |y|=e^{7t+c}$

Apply exponent rule,

$\rm |y|=e^c e^{7t}$

rename this e^c as some new constant, perhaps A,

$\rm \pm y=A e^{7t}\qquad\qquad A>0$

This A can only be positive, non-zero, but absorbing the plus/minus fixes that restriction,

$\rm y=A e^{7t}\qquad\qquad A\ne0$

Use your initial information to solve for this unknown value A,

$\rm y(9)=A e^{7\cdot9}=5$

solving for A, dividing by the exponential,

$\rm A=5e^{-63}$

So we get a final result of

$\rm y(t)=5e^{-63}e^{7t}$

apply exponent rule again to get a better looking answer, and factor,

$\rm y(t)=5e^{7(t-9)}$

Lemme know if too confusing.

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3 years ago