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2 years ago

Simplly the square root of 75z^18

Mathematics

1 answer:

notsponge [240]2 years ago

8 0

Answer:5√(3)z^9

Step-by-step explanation:

Square root of 75z^18

√(75z^18)

√(75) x √(z^18)

√(25x3) x (z^18)^(1/2)

√(25) x √(3) x z^(18x1/2)

5 x √(3) x z^9

5√(3)z^9

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2 years ago

What single decimal multiplier would you use to decrease by 6% followed by a 19% increase?

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Answer: 13% increase?

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2 years ago

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25. To produce the graph of the function y=0.5cos(0.5x), what transformations should be applied to the graph of the parent funct

soldi70 [24.7K]

Answer:

C. A horizontal stretch to produce a period of $2\pi$ and a vertical compression.

Step-by-step explanation:

We are given the parent function as $y= \cot x$

It is given that, transformations are applied to the parent function in order to obtain the function $y=0.5\cot (0.5x)$ i.e. $y=\frac{1}{2}\cot (\frac{x}{2})$

That is, we see that,

The parent function $y= \cot x$ is stretched horizontally by the factor of $\frac{1}{2}$ which gives the function $y=\cot (\frac{x}{2})$ .

Further, the function is compressed vertically by the factor of $\frac{1}{2}$ which gives the function $y=\frac{1}{2}\cot (\frac{x}{2})$ .

Now, we know,

If a function f(x) has period P, then the function cf(bx) will have period $\frac{P}{|b|}$ .

Since, the period of $y= \cot x$ is $\pi$ , so the period of $y=\frac{1}{2}\cot (\frac{x}{2})$ is $\frac{\pi}{1/2}$ = $2\pi$

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2 years ago

I need help with this quick

ziro4ka [17]

The best answer for this question is A.

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1 year ago

Yesterday, two friends went into a bank to open savings accounts. Allie started by putting $783 in her account, and she will dep

posledela

<u>Answer:</u>

Both accounts of Nick and Allie will have same amount of $864 in time period of 4 weeks.

<u>Solution: </u>

Given, Yesterday two friends went into a bank to open savings accounts.

Allie started by putting $783 in her account, and she will deposit an additional $27 each week.

Nick made no initial deposit, but he will add $288 more each week.

In a few weeks, the friends will have the same account balance.

Here, account balance of Allie for every week forms an A.P as

783, 810, 837, ……. With common difference 27

And, account balance of nick for every week will be

0, 288, 576, …….. with common difference 288

Let, after n weeks the balance in both accounts be equal.

Then, nth term of both series will be equal, we know that, nth term tn of A.P is a + (n – 1)d

Where, a is first term, d is common difference and n is number of terms.

Now, nth term of allie series = nth term of nick series.

783 + (n – 1) x 27 = 0 + (n – 1) x 288

Here, we used same n for both sides because n represents number of weeks and it is common to both

783 + 27n – 27 = 288n – 288

756 + 288 = 288n – 27n

261n = 1044

n = 4.

So, it will take 4 weeks to have same balance and now, substitute n value in nth term of nick series.

$4 \text { th term }=0+(4-1) \times 288 \rightarrow 4^{\text {th }} \text { term }=3 \times 288=864$

Hence, both accounts will have same amount of $864 in time period of 4 weeks

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2 years ago