3 years ago

Solve for x : 7x-8a = 3x+24a

Mathematics

1 answer:

Bingel [31]3 years ago

7 0

Answer:

4x=32a

Step-by-step explanation:

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Whats the equation help pls.

garik1379 [7]

Answer:

One bottle cost 0.41 cents

Step-by-step explanation:

5.89 - 3.43 = 2.46

2.46 divided by 6 = 0.41

I did not add tax.

6 0

3 years ago

Find the solution of the given initial value problem. ty' + 2y = sin t, y π 2 = 9, t > 0 y(t) =

Helen [10]

For the ODE

$ty'+2y=\sin t$

multiply both sides by t so that the left side can be condensed into the derivative of a product:

$t^2y'+2ty=t\sin t$

$\implies(t^2y)'=t\sin t$

Integrate both sides with respect to t :

$t^2y=\displaystyle\int t\sin t\,\mathrm dt=\sin t-t\cos t+C$

Divide both sides by $t^2$ to solve for y :

$y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac C{t^2}$

Now use the initial condition to solve for C :

$y\left(\dfrac\pi2\right)=9\implies9=\dfrac{\sin\frac\pi2}{\frac{\pi^2}4}-\dfrac{\cos\frac\pi2}{\frac\pi2}+\dfrac C{\frac{\pi^2}4}$

$\implies9=\dfrac4{\pi^2}(1+C)$

$\implies C=\dfrac{9\pi^2}4-1$

So the particular solution to the IVP is

$y(t)=\dfrac{\sin t}{t^2}-\dfrac{\cos t}t+\dfrac{\frac{9\pi^2}4-1}{t^2}$

$y(t)=\dfrac{4\sin t-4t\cos t+9\pi^2-4}{4t^2}$

6 0

3 years ago

Which fraction is not equivalent to 5/6? A-15/18 B-20/30 C-10/12 D-30/36

ss7ja [257]

Answer: B. 20/30

Step-by-step explanation: 20/30 simplified to 2/3. Multiply each number by 2 to get 4/6. 4/6 is not the same number as 5/6.

5 0

3 years ago

This figure is made up of two rectangular prisms. What is the volume of the figure?

kow [346]

Answer:

do you

Step-by-step explanation:

give options???I like your pfp btw

8 0

3 years ago

Read 2 more answers

What is the slope m and y-intercept point of the line y = 2x 1?

muminat

The slope is 2 and the y-intercept is 1.

8 0

3 years ago