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3 years ago

Question 3

Mathematics

1 answer:

lara [203]3 years ago

4 0

I think A is the answer

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What is 4 less than three sevenths of y written as an algebraic expression

Helga [31]

IT means that u need to subtract 4 from 3/7 of y i.e
<span>3/7 of y = 3Y/7 </span>
<span>subtract 4 from it we get </span>
<span>{(3Y/7)- 4}

hope this helps, Gastondekota! :-)</span>

6 0

3 years ago

Solve the initial value problem

tigry1 [53]

$9(t+1)\dfrac{\mathrm dy}{\mathrm dt}-7y=14t\implies\dfrac{\mathrm dy}{\mathrm dt}-\dfrac7{9(t+1)}y=\dfrac{14t}{9(t+1)}$

Look for an integrating factor $\mu(t)$ :

$\ln\mu=\displaystyle-\frac79\int\frac{\mathrm dt}{t+1}=-\frac79\ln(t+1)\implies\mu=(t+1)^{-7/9}$

Multiply both sides by $\mu$ :

$(t+1)^{-7/9}\dfrac{\mathrm dy}{\mathrm dt}-\dfrac79(t+1)^{-16/9}y=\dfrac{14}9t(t+1)^{-16/9}$

Condense the left side as the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[(t+1)^{-7/9}y\right]=\dfrac{14}9t(t+1)^{-16/9}$

Integrate both sides:

$(t+1)^{-7/9}y=\displaystyle\frac{14}9\int t(t+1)^{-16/9}\,\mathrm dt$

For the integral on the right, substitute

$u=t+1\implies t=u-1\implies\mathrm dt=\mathrm du$

$\displaystyle\int t(t+1)^{-16/9}\,\mathrm dt=\int(u-1)u^{-16/9}\,\mathrm du$

$\displaystyle=\int\left(u^{-7/9}-u^{-16/9}\right)\,\mathrm du=\frac92u^{2/9}+\frac97u^{-7/9}+C$

$\implies(t+1)^{-7/9}y=\dfrac{14}9\left(\dfrac92(t+1)^{2/9}+\dfrac97(t+1)^{-7/9}+C\right)$

$\implies(t+1)^{-7/9}y=7(t+1)^{2/9}+2(t+1)^{-7/9}+C$

$\implies y=7(t+1)+2+C(t+1)^{7/9}=7t+9+C(t+1)^{7/9}$

Given that $y(0)=12$ , we get

$12=9+C\implies C=3$

$\implies\boxed{y(t)=7t+9+3(t+1)^{7/9}}$

6 0

3 years ago

Find the value of 3<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormula1" title="\sqrt{x}" alt="\sqrt{x}" align="abs

Alex

Answer:

The answer is

Step-by-step explanation:

3√x + 7

x = 25

Substitute the value of x into the expression

That's

3(√25) + 7

√25 = 5

So we have

3(5) + 7

= 15 + 7

Hope this helps you

8 0

4 years ago

HELP ME ASAP PLEASE!!!!!

IceJOKER [234]

Answer:

see attached

Step-by-step explanation:

That things are the same when they're both the same as something else is the "transitive property." It applies to many things, from interchangeable parts to math expressions to geometrical objects, as here.

When there are 3 given statements, and two of them are shown as such, it isn't hard to determine what the third one is.

The remaining blanks can be filled by the process of elimination.

6 0

3 years ago

26. Earnings Suppose you have a job mowing lawns that pays $12 per hour. You

Llana [10]

Answer:

10 hrs to get 350

Step-by-step explanation:

7 0

3 years ago