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3 years ago

The point (5, -1) is solution of equation: y= 2x - 11

1 answer:

6 0

Let's input the x value (5) and see if the output is correct (-1).

y = 2(5) - 11
y = 10 - 11
y = -1

(5, -1) is a solution to y = 2x - 11.

The only ordered pairs that are a solution to y = 8x are (2, 16), (1, 8), and (-3, -24).

y = 8(2)
y = 16

y = 8(1)
y = 8

y = 8(-3)
y = -24

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Claire's music playlist contains songs she bought and songs her mother bought. The ratio of her songs to her mother's songs is 3

Vsevolod [243]

Answer:

Step-by-step explanation:

The ratio of Claire's songs to her mother's songs = 3 : 2

3 : 2 = 3/2

9 : 6 = 9/6 = 3/2

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3 : 2 = 3/2

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4 : 6 = 4/6 = 2/3

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3 years ago

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3 years ago

Evaluate the given integral by changing to polar coordinates. sin(x2 + y2) dA R , where R is the region in the first quadrant be

koban [17]

Set

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\end{cases}\implies\mathrm dA=r\,\mathrm dr\,\mathrm d\theta$

The region $R$ is given in polar coordinates by the set

$R=\left\{(r,\theta)\mid2\le r\le3,0\le\theta\le\dfrac\pi2\right\}$

So we have

$\displaystyle\iint_R\sin(x^2+y^2)\,\mathrm dA=\int_0^{\pi/2}\int_2^3r\sin(r^2)\,\mathrm dr\,\mathrm d\theta=\boxed{\frac\pi4(\cos4-\cos9)}$

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3 years ago

Any help would be greatly appreciated thank you

maria [59]

Answer:

Option D. Strong positive correlation

Step-by-step explanation:

Like the r-value of 0.987 is positive (0.987>0) and close to 1, the correlation of the graph is a strong positive correlation

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Galina-37 [17]

Answer and Step-by-step explanation:

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3 years ago