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FinnZ [79.3K]
2 years ago
9

What expression is equivalent to 5 to the 6th power?PlZZZ HElP

Mathematics
1 answer:
Akimi4 [234]2 years ago
8 0

Answer:

5^6 = 125 * 125

Step-by-step explanation:

The given expression can be represented as:.5⁶

Required

Find equivalent expression

5^6

Express 6 as 3 + 3

5^6 = 5^{3+3}

Apply the following law of indices

a^{m+n} = a^m * a^n

So, we have:

5^6 = 5^{3} * 5^{3}

Express 5^3 as 125

5^6 = 125 * 125

Hence, option (b) is equivalent

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What is the value of x?
Inessa [10]

Answer:

Step-by-step explanation:

There are 180 degrees in a triangle. With that information we can make the equation: 180=(47+85)+x.

When you solve it becomes:

180=132+x --> x=48 degrees

Hope that helped!

4 0
3 years ago
Read 2 more answers
Find the formula an for the nth term of the geometric sequence satisfying the following conditions: a1 = -2,
Alexeev081 [22]

Answer:

Step-by-step explanation:

a1 = - 2

an = a1 * r^(n - 1)

a6 = -486

-486 = - 2 * r^(6-1)                      Divide by 2

243 = r^5

The largest value that r could be is 3.

4^5 = 1024

(243)^(1/5) = 3

So the general formula

an = -2*(3)^(n - 1)

3 0
2 years ago
A spherical ball of wax with a radius of 5 inches is melted and poured into a container shaped like a rectangular prism with a 1
Novosadov [1.4K]

Answer:

4.36 in

Step-by-step explanation:

To solve this problem we first find the volume of the sphere using the volume formula, after this we set this volume equal to the volume container which is a rectangular prism. After this we simple solve for the height by dividing the volume of the sphere by 12*10 to get the height

So the steps should look like

(4/3)*π*5³=523.599 in³

523.599 in³=12*10*Height

(523.599/(12*10))=4.36 in

7 0
3 years ago
Read 2 more answers
WILL GIVE BRAINLIEST<br> thank you
crimeas [40]

Answer:

I'm pretty sure the answer is the second choice

Step-by-step explanation:

because you have to add X to both sides

8 0
3 years ago
A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as
Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

x\ge 2y

2. A florist can make a grand arrangement in 18 minutes =\dfrac{3}{10} hour, then he can make y arrangements in \dfrac{3}{10}y hours.

A florist can make  a simple arrangement in 10 minutes =\dfrac{1}{6} hour, so he can make x arrangements in \dfrac{1}{6}x hours.

The florist can work only 40 hours per week, then

\dfrac{3}{10}y+\dfrac{1}{6}x\le 40

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines x=2y and \dfrac{3}{10}y+\dfrac{1}{6}x=40

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

\$(10\cdot 126+25\cdot 63)=\$2,835

8 0
2 years ago
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