3 years ago

Does anyone know this one?

Mathematics

1 answer:

erastova [34]3 years ago

4 0

The answer is C, you double 8 million and then double 16 million

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Solve the initial-value problem<br><br> y' = x^4 - \frac{1}{x}y, y(1) = 1.

natta225 [31]

The ODE is linear:

$y'=x^4-\dfrac yx$

$y'+\dfrac yx=x^4$

Multiplying both sides by $x$ gives

$xy'+y=x^5$

Notice that the left side can be condensed as the derivative of a product:

$(xy)'=x^5$

Integrating both sides with respect to $x$ yields

$xy=\dfrac{x^6}6+C$

$\implies y(x)=\dfrac{x^5}6+\dfrac Cx$

Since $y(1)=1$ ,

$1=\dfrac16+C\implies C=\dfrac56$

so that

$\boxed{y(x)=\dfrac{x^5}6+\dfrac5{6x}}$

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3 years ago

Express the first 10 terms of a sequence 2,5,8,11 in sigma notation<br>

mash [69]

Answer

The first 10 terms of thjs sequence are 2, 5, 8, 11, 14, 17, 20, 23, 26, 29

Explanation:

You can notice that to get to the next term, you have to add 3.
So we add 3 every next term

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2 years ago

An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?

NNADVOKAT [17]

Answer:

Step-by-step explanation:

So I assumed that the x was multiplication...so...15x3=45 and 33x5=165...so the perimeter is 210, so you divide that by 3 and the answer is 70!

4 0

3 years ago

Read 2 more answers

Does anyone know the answers to these blank questions?

Bas_tet [7]

Answer:

h = 21

n = 60

p = 7

4 0

2 years ago

Can someone explain this please?

Greeley [361]

$\left( 8 \times 10^{-5}\right)\cdot \left( 5 \times 10^{-6}\right)\\ \\ =\left( 8 \times 5\right)\cdot \left( 10^{-5} \times 10^{-6}\right)$

1) first do the integer part $\left( 8 \times 5\right)=40$

2) then do the exponent part $\left( 10^{-5} \times 10^{-6}\right)$ = ???

3) Once you do the first two steps... adjust your answer to scientific notation...

3 0

4 years ago