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Veseljchak [2.6K]

3 years ago

7

(z^2)^n=z^10the question asks to solve for n

1 answer:

g100num [7]3 years ago

3 0

To solve this problem, all you have to do is set the exponents equal to each other because the bases are the same.

2n=10

<em>*Divide both sides by 2*</em>

n=5

The answer is 5.

Hope this helps!

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Jlenok [28]

Answer: B

Step-by-step explanation:

To find the result of the dilation, multiply each x and y coordinate by the scale factor, which in this case, is 1.5. I started out with the coordinate P, which had an original coordinate of (-2,1). In this case, I multiplied -2 by 1.5, and 1 by 1.5 to get (-3, 1.5). Since this is multiple choice, the only one with P as (-3, 1.5) is B, so we don't have to check the others.

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2 years ago

F(x) = 3x What is the inverse of the function below?

guajiro [1.7K]

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3 years ago

What is the period of the sinusoidal fynction below?<br> f(x) = 2 cos(3x – 360) + 3

dexar [7]

Answer:

Here you go! I have a graph for your answer!

Step-by-step explanation:

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2 years ago

The Venn diagram shows the results of two events resulting from rolling a number cube.

tankabanditka [31]

Answer:

$P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{1}{3}$

$P(A) =\frac{2}{3}$

$P(B) =\frac{1}{2}$ .

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

So

$P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}$

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

So

$P(A) = \frac{4}{6} = \frac{2}{3}$

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

So

$P(B) = \frac{3}{6} = \frac{1}{2}$ .

Now

$P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}$

6 0

3 years ago