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3 years ago

Please help me with this question

Mathematics

1 answer:

alina1380 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

See in title it says thousands,

so multiply whatever number in graph by 1000

Rhode Islands shows 45 in graph, so:

45x1000=45,000

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Vera prepared 24 kilograms of dough after working 3 hours. How much dough did vera prepare if she workes for 6 hours?

Nataly [62]

Answer:

48 kg

Step-by-step explanation:

She can make 24 kg of dough in 3 hours

Multiply each by 2

She can make 24*2 kg of dough in 3*2 hours

She can make 48 kg of dough in 6 hours

8 0

3 years ago

What is the length of LINE GH?<br> And please explain why thank you:

lesya692 [45]

co-ordinates of point G are (1,2)

co-ordinates of point H are (3,-3)

so, by distance formula :

$\sqrt{( {x1 - x1})^{2} + ( {y1 - y2})^{2} } \\ = \sqrt{( {1- 3})^{2} + ( {2 - ( - 3)})^{2} } \\ \sqrt{( { - 2})^{2} + ( {2 + 3})^{2} } \\ \sqrt{( { - 2})^{2} + ( {5})^{2} } \\ \sqrt{4 + 25} \\ \sqrt{29}$

so, it is root(29) or 5.38 units

7 0

3 years ago

The price of a four star dinner was $100 two decades ago. A report says that a dinner is 250% of what it was 20 years ago, how m

leva [86]

For this case we can solve the problem by means of the following rule of three:

100 $ --------------> 100%

x -------------------> 250%

From here, we clear the value of x.

We have then:

$x = (\frac{250}{100}) (100)$

Rewriting we have:

$x = 250$

Answer:

The price of a four star dinner today is $ 250.

5 0

3 years ago

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

3 years ago

Reflect A across the x-axis. Label the reflection as N, and give its coordinates.

Kipish [7]

Answer:

N (-4,3)

Once A is reflected over the horizontal line, it is (-4,3)

4 0

3 years ago