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Evgesh-ka [11]
3 years ago
9

What is the correct answer to this multiple choice question? Please help!

Mathematics
1 answer:
erik [133]3 years ago
4 0

Answer:

\sqrt[3]{4}

Step-by-step explanation:

To solve this we need to take the square root of both sides with a certain degree.

4^6 = a^{18}

We can take the root of both sides with a degree of 18.

\sqrt[18]{4^6} = \sqrt[18]{a^{18}}  \\(4^6)^{\frac{1}{18} } = a\\a = 4^{\frac{6}{18} } = 4^{\frac{1}{3} } = \sqrt[3]{4}

It's helpful to understand that when a number has its square root taken with some degree n. The square root can be represented as just the value raised to the (1/n) power.

It's also helpful to understand that when you raise something to the power of another power, you can simply multiply the powers together. For instance (2^3)^5 = 2^15

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population growth problem: the deer population in georgia was 450,000 in 2010, and the population doubles every 5 years. in what
VikaD [51]
We know that in 2020 the population of deer will be 900,000 based on the given numbers. In another 5 years the population will be over 1 million (1,350,000) in order to calculate when it will reach 1 million we need to see how much growth is gained per year. I believe to obtain that information we will need to divide 450,000 by 5 that equals 90,000 a year. So if I’m 2020 the population of deer will be 900,000 than add 90,000 until you reach your 1 million marker. In this case 2021 would be 990,000 thousand so 2022 would be 1,080,000. So your answer should be year 2022. Hope that helps.
8 0
2 years ago
8. There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.
PIT_PIT [208]

Answer:

a. 720

b. 0.3

Step-by-step explanation:

a.

Three balls are selected at random without replacement.

First ball can be selected in 10 ways

Second ball can be selected in 9 ways

Third ball can be selected in 8 ways

Thus, there are 10×9×8 =720 different ways of selecting three balls.

b.

There are three cases that satisfy this condition

  1. first ball picked is 5, the others are not
  2. first ball is not 5, second is 5, third is not
  3. first and second ball is not five, third ball is 5

Each probabilities are:

  1. \frac{1}{10} * \frac{9}{9} *\frac{8}{8} =\frac{1}{10}
  2. \frac{9}{10} *\frac{1}{9} *\frac{8}{8} =\frac{1}{10}
  3. \frac{9}{10} *\frac{8}{9} *\frac{1}{8} =\frac{1}{10}

Thus, one of the balls selected is the number 5 is then \frac{1}{10} + \frac{1}{10} + \frac{1}{10} = \frac{3}{10}

5 0
3 years ago
Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 121212 inc
My name is Ann [436]
He will need 17 inches of ribbon.

The diagonal splits the square into two right triangles.  We can then use the Pythagorean theorem to find the length of the diagonal (the hypotenuse of the triangle):

12² + 12² = x²
144 + 144 = x²
288 = x²

Take the square root of both sides:
√288 = √x²
16.97 = x
17≈x
8 0
3 years ago
6n+3=2 use a table..
netineya [11]
What are asking for? The solution?
6n+3=2 so subtract 3 from both sides so 6n=-1
divide 6 from both sides so n=
8 0
3 years ago
Alice has two flying disks. One is 12 cm in a diameter and the other is 24 cm in diameter. What is the difference in cubic centi
murzikaleks [220]

Answer:

Step-by-step explanation:

Subtract 12 pi squared from 6 pi squared for the answer

5 0
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