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Y_Kistochka [10]

2 years ago

7

Simplify to a single power of 5: (5^4)^3

1 answer:

Vlada [557]2 years ago

5 0

Answer:

5^12

Step-by-step explanation:

This is called the "Power of Powers rule." When you are doing this rule, the inside exponent inside the parenthesis (the ^4 in this case) multiplies with the one outside the parenthesis, like this: 5^4*3 = 12.

However, if there is a base number next to the exponent <em>outside</em> the parenthesis that is a <em>different</em> number than the one inside the parenthesis, this method will not work. (Example: (5^4)5^3)

Important note: Anytime you are combining exponents through any rule, the base number must be the same to be able to combine.

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3 years ago

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3 years ago

PLEASE HELP WILL MARK BRAINLIEST The frequency f (in waves per second) and the wavelength w (in meters) of a sound traveling

marshall27 [118]

You gave us the speed and the frequency, and you need the wavelength.

You were also nice enough to remind us that (fqy)x(lng) = speed.

So . . . F x W = 343 m/s

Divide each side by F :

W = (343 m/s) / F

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W = (343/240) m

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8 0

3 years ago

How to find the volume of the cone

gavmur [86]

Answer:

The closest measurement to the volume of hat is 84.82 in.³.

Step-by-step explanation:

Given:

The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.

Now, to find the volume of cone:

Putting the formula $\frac{1}{3}\pi r^{2}h$ .

Radius(r) is not given, finding the radius:

Radius(r)=half of the diameter(d)

$r=\frac{d}{2}$

$r=\frac{6}{2}$

$r=3$ .

Then, $\frac{1}{3}\pi r^{2}h$

= $\frac{1}{3}\times\pi \times3^{2}\times9$

= $\frac{1}{3}\times3.14\times9\times9$ ( $\pi =3.14$ )

= $\frac{1}{3} \times254.34$

= $\frac{254.34}{3}$

= $84.78$ in.³

So, the volume is 84.78 in.³ .

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5 0

3 years ago

Find the probability that a point is chosen randomly inside the rectangle is in each given shape...

Arlecino [84]

By taking the quotients between the areas, we see that:

a) P = 0.275
b) P = 0.85

<h3>How to find the probabilities?</h3>

First we need to find the areas of the 3 shapes.

For the triangle, the area is:

T = 3*5/2 = 7.5

For the blue square, the area is:

S = 3*3 = 9

For the rectangle, the area is:

R = 10*6 = 60

Now, what is the probability that a random point lies on the triangle or in the square?

It is equal to the quotient between the areas of the two shapes and the total area of the rectangle, this is:

P= (7.5 + 9)/60 = 0.275

b) The area of the rectangle that is not the square is:

A = 60 - 9 = 51

Then the probability of not landing on the square is:

P' = 51/60 = 0.85

If you want to learn more about probability:

brainly.com/question/25870256

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6 0

2 years ago