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Margarita [4]
2 years ago
8

What is the value of the expression (8^2/3)^1/2

Mathematics
1 answer:
nikklg [1K]2 years ago
3 0

\left( 8^{\frac{2}{3}} \right)^{\frac{1}{2}}\implies \left( (2^3)^{\frac{2}{3}} \right)^{\frac{1}{2}}\implies 2^{3\cdot \frac{2}{3}\cdot \frac{1}{2}}\implies 2^{\frac{1}{1}}\implies 2

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mina [271]

Answer:

f(x) = -2x + 7, when x > 1

f(x) = 4x + 1 when x ≤ 1

Step-by-step explanation:

The right side graph passe through points (1,5) and (2,3).  

Hence, the equation of the line  

\frac{y - 5}{5 - 3} = \frac{x - 1}{1 - 2}

⇒ (y - 5) = 2(1 - x)

⇒ y - 5 = 2 - 2x

⇒ y = -2x +7.......... (1)

Now, the left side graph passes through points (1,5) and (0,1)

Therefore, the equation of the graph will be  

\frac{y - 5}{5 - 1} = \frac{x - 1}{1 - 0}

⇒ y - 5 = 4(x - 1)

⇒ y = 4x + 1 ........ (2)

Hence, the equation (1) gives the function in the right side of the given graph which does not include the point (1,5) and extends to the right from this point.

Therefore, f(x) = -2x + 7, when x > 1 (Answer)

Again, equation (2) gives the function in the left side of the given graph which includes the point (1,5) and extends to the left from this point.

Therefore, f(x) = 4x + 1 when x ≤ 1 (Answer)

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4 years ago
41,000 rounded to the nearest 10,000
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In the largest clinical trial ever conducted, 401,974 children were randomly assigned to two groups. The treatment group consist
scoundrel [369]

The correct option regarding whether the requirements for a hypothesis test are satisfied is:

D. The conditions are satisfied. The samples are random, and each sample has at least 5 successes and 5 failures.

<h3>What are the conditions for an hypothesis test?</h3>

There are two conditions:

  • The samples should be random.
  • Each sample should have at least 5 successes and at least 5 failures.

These two conditions are satisfied for this problem, hence, researching this problem on the internet, option D is correct.

More can be learned about the requirements of an hypothesis test at brainly.com/question/15396725

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kifflom [539]
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3 years ago
Point p is the midpoint of de dp 6x+4 and de = 14x -10
vfiekz [6]

Answer:

x = 9

Step-by-step explanation:

A midpoint is found by adding up two numbers and then dividing by 2 (Also known as an average). Therefore, a midpoint marks half of a line. That means that DP is 1/2 of DE. We can now form an equation. 6x + 4 = 1/2 * (14x - 10), making 6x + 4 = 7x - 5 by using the distributive property. Next, isolate x by subtracting by 6x on both sides and adding by 5 on both sides. You would get x = 5 + 4, which means that x = 9.

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3 years ago
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