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victus00 [196]
2 years ago
8

Explain how to evaluate simplify and convert to radical form (x^3/8)^3/4

Mathematics
1 answer:
Vaselesa [24]2 years ago
3 0

Answer:

(x^\frac{3}{8})^\frac{3}{4}  = \sqrt[32]{x^9}

Step-by-step explanation:

Given

(x^\frac{3}{8})^\frac{3}{4}

Required

Convert to radical form

(x^\frac{3}{8})^\frac{3}{4}

Evaluate the exponents

(x^\frac{3}{8})^\frac{3}{4} = x^\frac{3*3}{8*4}

(x^\frac{3}{8})^\frac{3}{4} = x^\frac{9}{32}

Split the exponent

(x^\frac{3}{8})^\frac{3}{4} = (x^9)^\frac{1}{32}

Apply the following law of indices

(x^a)^\frac{1}{b} = \sqrt[b]{x^a}

So, we have:

(x^\frac{3}{8})^\frac{3}{4}  = \sqrt[32]{x^9}

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Drag each tile to the correct box. not all tiles will be used.Chris plans to mulch the border surrounding a rectangular garden i
amm1812

Length (L): 2w + 3

width (w): w

border (b): \frac{1}{4} w

Area (A) = (L + b) * (w + b)   <em>NOTE: This is assuming the width also has a border</em>

              = (2w + 3 + \frac{1}{4} w) * (w + \frac{1}{4} w)

              = (2\frac{1}{4} w + 3)(1\frac{1}{4} w)

              = (\frac{9}{4} w + 3)(\frac{5}{4} w)

              = \frac{45}{16} w^2 + \frac{15}{4}w


5 0
3 years ago
What number does the model below best represent?
umka21 [38]

Answer: 85 or 85% or 85/100

Step-by-step explanation:

This is because there are a total of 100 squares in the grid, and out of those 100 there are 85 squares shaded in. So the model best represents 85, 85%, or 85/100. These answers are dependent on what choices you have for the possible answer.

7 0
2 years ago
A study claims that the combination of vitamin C with vitamin E is more effective for preventing the flu than vitamin C alone. I
victus00 [196]

1) In this study, the control group is the first group of 310 subjects that were instructed to take only 600 mg daily of vitamin C. (Option C; that is, group 1).

2) The study is not Blind (Option C).

In an experimental setup to test a theory, A control group is the set of experimental participants that the theory to be tested isn't applied upon.

In the case of testing a new treatment, the control group is the group that the new treatment isn't administered.

For this question, the experiment was set up to test the effectiveness of a combination of vitamin A and vitamin E in treating flu cases rather than using vitamin C alone. Group A is the only group that only the old treatment alone is applied to; group 1 participants received no dosage of the new combination of treatments to be tested involving vitamins A and E, unlike the two other groups.

It is obvious now why the experimental participants of group 1 are the control group.

2) A blind experiment/study is one in which the participants don't know which group they belong to, whether they are in the control group or the other experimental group. Like in this case, if this was a blind study, the participants wouldn't know which group they belonged to or which treatment is administered to them.

A double-blind experiment/study is one in which both the conductors of the experiment and the participants in the experiment wouldn't know which group any participant is in. The conductors wouldn't know which participants were in the control or treatment group and the participants too wouldn't have an idea whether they are in the control or treatment group.

To learn more about the vitamin visit: brainly.com/question/24324739

#SPJ4

3 0
1 year ago
Please help! <br> (sorry about the cracks in my ipad)
Talja [164]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
f(2) 42 g(x) = 2x +3 Find 4) (. Include any restrictions on the domain. O A. 2.2---3 417 2 &gt; 0 B. 47 2 2 r--3, (1) (a) = (4)
slamgirl [31]

Answer:

Option D

Step-by-step explanation:

Given f(x) = \sqrt[3]{4x}

g(x) = 2x + 3

Since, (\frac{f}{g})(x)=\frac{f(x)}{g(x)}

                     =\frac{\sqrt[3]{4x}}{2x+3}

This function is defined for the denominator is not equal to zero.

(2x + 3) ≠ 0

x ≠ -\frac{3}{2}

Therefore, Option D will be the correct option.

5 0
2 years ago
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