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3 years ago

A square has side length of 5 cm. The square was changed using a scale factor of 0.6.

Mathematics

1 answer:

Aliun [14]3 years ago

8 0

So the side length became 0.6*5 = 3 cm.

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2 years ago

Find a power series representation for the function. (Assume a>0. Give your power series representation centered at x=0 .)

melamori03 [73]

Answer:

Step-by-step explanation:

Given that:

$f_x = \dfrac{x^2}{a^7-x^7}$

$= \dfrac{x^2}{a^7(1-\dfrac{x^7}{a^7})}$

$= \dfrac{x^2}{a^7}\Big(1-\dfrac{x^7}{a^7} \Big)^{-1}$

since $\Big((1-x)^{-1}= 1+x+x^2+x^3+...=\sum \limits ^{\infty}_{n=0}x^n\Big)$

Then, it implies that:

$\implies \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\Big(\dfrac{x}{a} \Big)^{^7} \Big)^n$

$= \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\dfrac{x}{a} \Big)^{^{7n}}$

$= \dfrac{x^2}{a^7} \sum \limits ^{\infty}_{n=0} \Big(\dfrac{x^{7n}}{a^{7n}} \Big)}$

$\mathbf{= \sum \limits ^{\infty}_{n=0} \dfrac{x^{7n+2}}{a^{7n+7}} }}$

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2 years ago

In which part of the graph is the distance from home constant?

Contact [7]

Answer:

I chose B. 3

Step-by-step explanation:

I chose B because the person is either staying still, not moving, or something of the sort.

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2 years ago

A box contains balls numbered 3 through 15.

Phantasy [73]

Answer: 6/13

Step-by-step explanation:

A box contains balls numbered 3 through 15. This means that the sample space = {3 , 4 ,5 , 6 ,7, 8, 9, 10, 11, 12, 13, 14, 15,}

The total number of sample space = 13

Therefore : the probability of picking 3, 5, 9, 11, 12, 15 , will be the total number of times they appear in the sample space divided by the number of sample space.

number of times 3 appears = 1

number of times 5 appear = 1

number of times 9 appear = 1

number of times 11 appear = 1

number of times 12 appear = 1

number of times 15 appear = 1

All together , they appeared 6 times

Therefore : the probability of picking one of the numbers = 6/13

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2 years ago

What is 1,562 divided. By 34

olga55 [171]

The answer is 46 when its rounded off

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3 years ago