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3 years ago

The value of the expression 16-^3/4 is___ 8 1/8 -6 6 1/40 1/64

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

5 0

Answer:

$\frac{1}{8}$

Step-by-step explanation:

Using the rules of exponents

• $a^{-m}$ ⇔ $\frac{1}{a^{m} }$

• $a^{\frac{m}{n} }$ ⇔ $\sqrt[n]{a^{m} }$

Hence

$16^{-\frac{3}{4} }$ = $\frac{1}{16^{\frac{3}{4} } }$

= $\frac{1}{\sqrt[4]{16^{3} } }$ = $\frac{1}{2^{3} }$ = $\frac{1}{8}$

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Explain what their first step would be if they wanted to eliminate the y variable from the equations.

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Answer:

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r2 -3×r3 ⇒ r2

Step-by-step explanation:

We note that the coefficient of y in equation (iii) is 1, so it is convenient to use that equation to eliminate y from the others.

To eliminate the y-variable from equation (i), four times equation (iii) can be added to equation (i).

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$10x +6z = 28\quad\text{(iv)}\\\\-7x-9z=2\quad\text{(v)}$

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2 years ago

Triangle QRS is dilated according to the rule DO,2 (x,y).

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I found the correct image that accompanies this problem and edited it with my answers.. Pls. see attachment.

Based on the attachment, the correct statements are:

1) DO,2 (x,y) = (2x, 2y)
2) Side Q'S' lies on a line with a slope of -1.
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5) The distance from Q' to the origin is twice the distance from Q to the origin.

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2 years ago

Read 2 more answers

Right triangle, hypotenuse =10 short= 5 what does the long leg equal

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15 = 10 +5 tha is my answer to Right triangle, hypotenuse =10 short= 5 what does the long leg equal

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2 years ago

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In stratified random sampling,(A) randomly selected elements within each of the strata form the sample.(B) all elements within t

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Answer: (A) randomly selected elements within each of the strata form the sample.

Step-by-step explanation:

Stratified random sampling is a random sampling technique in statistics .

It includes the partition of the entire population into sub-parts called strata.
The strata are formed on the basis of the characteristics shared by members .
After the formation of strata, researcher randomly selects participants from each strata to ensure that that the participant of every group must involve in the sample to represent each character.

Hence, the correct answer is :

(A) randomly selected elements within each of the strata form the sample.

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3 years ago

A city has designed a survey to collect information about residents’ opinions about city services. Which of the following descri

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Bias refers to scenarios which might affect the ability of a statistical experiment to generalize, hence affecting the validity of research. Non-response bias occurs when majority of subjects fail to respond during a survey. Hence, a likely scenario is ; surveys were mailed to 500 people, and 200 of the surveys were completed and returned.

Non - response bias has to do with a situation whereby a large percentage of the selected samples from a population do not respond or fail to participate in the experiment or survey.

If 200 surveys were returned, then 300 of the sample participants did not respond. Which means 60% of the sample are non-responsive.

Therefore, a scenario where surveys were mailed to 500 people, and 200 of the surveys were completed and returned exemplifies a non - response bias.

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2 years ago