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3 years ago

Simplify 8 over negative 4 ÷ negative 3 over 9 . (5 points)

Mathematics

1 answer:

Svetach [21]3 years ago

8 0

Answer:

Step-by-step explanation:

$-\frac84 divided-\frac39\\-2 divided- \frac13\\-2 \cdot -3\\6$

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Mr. White is paid a weekly salary of $1,500. How much will he earn in a year?

maria [59]

Answer:

$78,000

Step-by-step explanation:

Because their are 52 weeks in a year and 52 X 1500 is $78,000

4 0

3 years ago

Read 2 more answers

Find the general solution to 1/x dy/dx - 2y/x^2 = x cos x, y(pi) = pi^2

Finger [1]

Answer:

$\frac{y}{x^2}=\sin x+\pi$

Step-by-step explanation:

Consider linear differential equation $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$

It's solution is of form $y\,I.F=\int I.F\,q(x)\,dx$ where I.F is integrating factor given by $I.F=e^{\int p(x)\,dx}$ .

Given: $\frac{1}{x}\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x^2}=x\cos x$

We can write this equation as $\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{2y}{x}=x^2\cos x$

On comparing this equation with $\frac{\mathrm{d} y}{\mathrm{d} x}+yp(x)=q(x)$ , we get $p(x)=\frac{-2}{x}\,\,,\,\,q(x)=x^2\cos x$

I.F = $e^{\int p(x)\,dx}=e^{\int \frac{-2}{x}\,dx}=e^{-2\ln x}=e^{\ln x^{-2}}=\frac{1}{x^2}$ { formula used: $\ln a^b=b\ln a$ }

we get solution as follows:

$\frac{y}{x^2}=\int \frac{1}{x^2}x^2\cos x\,dx\\\frac{y}{x^2}=\int \cos x\,dx\\\\\frac{y}{x^2}=\sin x+C$

{ formula used: $\int \cos x\,dx=\sin x$ }

Applying condition: $y(\pi)=\pi^2$

$\frac{y}{x^2}=\sin x+C\\\frac{\pi^2}{\pi}=\sin\pi+C\\\pi=C$

So, we get solution as :

$\frac{y}{x^2}=\sin x+\pi$

4 0

4 years ago

I need help asap pls

fomenos

The coefficent is 5, since it’s placed before the variable.

4 0

3 years ago

If twice a number is less than the number, the number must be a) negative b) even c) 0.5 d) a square

mars1129 [50]

Answer:

a) negative

Step-by-step explanation:

When you multiply a given negative number by a positive number, the result becomes smaller than the original.

For instance let $-100$ be the original number.

Multiply by 2.

The result is -200

We know $-200\:$

The correct answer is A.

8 0

3 years ago

Harry’s tv plan cost 49.99 per month plus 3.49 per first run movie how many first run movies can he watch if he wants to keep hi

KIM [24]

Answer:

He can watch 14 first run movies to keep his monthly bill to be a maximum of $ 100.

Step-by-step explanation:

Given that Harry’s TV plan cost $ 49.99 per month plus $ 3.49 per first run movie, to determine how many first run movies can he watch if he wants to keep his monthly bill to be a maximum of $ 100, the following calculation must be performed:

100 - 49.99 = 50.01

50.01 / 3.49 = X

14.32 = X

49.99 + (3.49 x 14) = 98.85

Thus, he can watch 14 first run movies to keep his monthly bill to be a maximum of $ 100.

6 0

3 years ago