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3 years ago

Identify cosQ as a fraction and as a decimal rounded to the nearest hundredth. HELP ASAP! PLEASE!!

Mathematics

1 answer:

cluponka [151]3 years ago

7 0

Answer:

Step-by-step explanation:

Cos(Q) = adjacent to Q/Hypotenuse

adjacent = 15

Hypotenuse = 17.7

Cos(Q) = 15/17.7

Cos(Q) = 0.8475

The answer is C.

D is impossible. The cos of any angle can never be more than 1.

B is Tan(Q). They are not the same.

A is Sin(Q)

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Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

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3 years ago

Which sequence of transformations maps triangle PQR onto its image triangle P'Q'R'

erica [24]

Answer:

Reflect, Translate, Dilate

Step-by-step explanation:

1. Reflect across the y-axis

2. Translate the triangle (x + 1, y + 1)

3. Dilate PQR by: $\frac{3}{2}$

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3 years ago

Which is smaller 1/2 or 3/8

ludmilkaskok [199]

Answer:

3/8 is smaller

Step-by-step explanation:

because it not have of 8 as for 1/2 is half so your answer is 3/8

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3 years ago

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Leya [2.2K]

Answer:

Chaos

Lack of understanding for how to behave

Disregard for other people

Step-by-step explanation:

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3 years ago

A baseball player has a batting average of 0.325 each week of the season, with a standard deviation of 0.065. What is the z scor

ad-work [718]

Answer: Your answer is 1.308

Step-by-step explanation: Yw and I sure hope this helps U. And pls mark me as brainiest

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2 years ago