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3 years ago

Rewrite the expression with rational exponents as a radical expression.

Mathematics

2 answers:

nexus9112 [7]3 years ago

7 0

Answer:

If the expression is $4x^\frac{3}{7}$ , then the answer is the first option.

If the expression is $(4x)^\frac{3}{7}$ , then the answer is the third option.

Step-by-step explanation:

Remember that when you have a radical expression in the form $\sqrt[n]{x}$ , you can rewrite as:

$=x^\frac{1}{n}$

Then:

- If the expression is $4x^\frac{3}{7}$ , then you can rewrite it in the following radical form:

$=4\sqrt[7]{x^3}$ (This form matches with the first option.)

- If the expression is $(4x)^\frac{3}{7}$ , then you can rewrite it in the following radical form:

$=\sqrt[7]{(4x)^3}$ (This form matches with the third option).

cestrela7 [59]3 years ago

7 0

Answer:

Step-by-step explanation:

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Answer:

That would mean that each bottle serves 6 people

Step-by-step explanation:

18/3=6

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3 years ago

A circle with a 12-inch diameter is folded in half and then folded in half again. What is the area of the resulting shape? Round

MissTica

Answer:

A=28

Step-by-step explanation:

the area of a circle is pi*r^2

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A=1/4* $\pi$ *6^2

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3 years ago

Daisy designs 30 cards in a day and Lisa designs 12 cards in a day how many more cards does daisy design than Lisa

Anna71 [15]

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3 years ago

Your body loses sodium when you sweat. Researchers sampled 38 random tennis players. The average sodium loss was 500 milligrams

Salsk061 [2.6K]

Answer:

The 99% confidence interval to estimate the mean loss in sodium in the population is between 474.10 milligrams and 525.90 milligrams. This means that we are 99% that the true mean loss in sodium in the population is between 474.10 milligrams and 525.90 milligrams.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 2.575*\frac{62}{\sqrt{38}} = 25.90$

The lower end of the interval is the mean subtracted by M. So it is 500 - 25.90 = 474.10 milligrams.

The upper end of the interval is the mean added to M. So it is 500 + 25.90 = 525.90 milligrams

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3 years ago

Given the function f(x) = 2x − 1 and the linear function g(x), which function has a greater value when x = 3?

garik1379 [7]

Answer:

The function g(x) has a greater value when x = 3. The function g(x) will be 7 when x = 3 while the function f(x) is will be 5

Step-by-step explanation:

For the function f(x), when x = 3, you get the equation f(x) = 2(3) - 1. Two times three equals six, so the equation can be simplified to f(x) = 6 - 1. Six minus one equals five, so f(x) = 5 when x = 3.

For the function g(x), when x = 3, you get the equation g(x) = 4(3) - 5. Four times three equals 12, so the equation is now g(x) = 12 - 5. 12 minus five equals seven, so g(x) = 7 when x = 3.

Hope this helps :)

4 0

3 years ago