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Kisachek [45]
2 years ago
11

Which expression is equivalent to startfraction 3 x superscript negative 6 baseline y superscript negative 3 baseline over 15 x

squared y superscript 10 baseline endfraction? assume x not-equals 0, y not-equals 0.
Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
8 0

The correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline endFraction.

Given expression (3x)^-6*y^-3/ 15x^2*y^10

Lets simplify the equation:

= > (3x)^-6*y^-3/ 15x^2*y^10\\=1/5 x^-8*y^-13

Expression:

An expression is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division. The structure of an expression is: Expression is (Number/Variable, Math Operator, Number/Variable)

Hence the correct expression is 1 Over 5 x Superscript minus 8 Baseline y Superscript minus 13 Baseline EndFraction.

Learn more about Expression on:

brainly.com/question/1280754

#SPJ4

You might be interested in
Please help me! I will give brainliest and 50 points if all correct!
miss Akunina [59]

Answer:

10. ○\displaystyle 4,85; 4\frac{17}{20}

9. ○680%

8. ○40%

7. ○\displaystyle 60

6. ○0,4, 40,5%, 11⁄25, 4⁄9

5. ○\displaystyle 0,928

4. ○1%

3. ○76%

2. \displaystyle See\:above\:grid

1. \displaystyle See\:above\:grid

Step-by-step explanation:

10. To convert from a percentage to a decimal, move the decimal mark twice to the left; each 20 is worth 5, and since 5 by 17 is 85, you have your fractional part of 17⁄20, then attach the whole number of 4.

9. To convert from a mixed number\improper fraction to a percentage, first evaluate the fractional part for a decimal answer, then move the decimal mark twice to the <em>right</em>.

8. To convert from a fraction to a percentage, evaluate the fraction for a decimal answer, then move the decimal mark twice to the right.

7. \displaystyle \frac{132}{220} = \frac{3}{5} =60%

Greatest Common Divisor [GCD]: 44

6. \displaystyle \frac{11}{25} =44%

_

\displaystyle \frac{4}{9} =44,4%

\displaystyle 0,4 =40%

Now that these are all percentages, it is alot easier to order them from least to greatest.

5. To convert from a percentage to a decimal, move the decimal mark twice to the <em>left</em>.

4. To convert from a decimal to a percentage, move the decimal mark twice to the <em>right</em>.

3. Each 25 is worth 4, and since 4 by 19 is 76, you get 76%.

2. Each 25 is worth 4, and since 4 by 6 is 24, you get 24%, and this graph.

1. Each 36 is worth 2 7⁄9, and since 12 by 2 7⁄9 is 33⅓, you get 33⅓%, so you would choose this answer.

I am joyous to assist you anytime.

8 0
3 years ago
Two life insurance companies determine their premiums using different formulas:
Pie

Answer:

<em>The age at which both companies charge the same premium is 44 years</em>

Step-by-step explanation:

<u>Graph Solution to System of Equations</u>

One approach to solving systems of equations of two variables is the graph method.

Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.

The annual premium p as a function of the client's age a for two companies are given as:

Company A: p= 2a+24

Company B: p= 2.25a+13

The graphs of both functions are shown in the image below.

The red line indicates the formula for Company A and the blue line indicates the formula for Company B.

It can be seen that both lines intersect in the point with approximate coordinates of (44,112).

The age at which both companies charge the same premium is 44 years

8 0
3 years ago
Lina packs 3-inch cups into boxes measuring 12 inches by 15 inches . How many cups fit in one box
Dahasolnce [82]

Answer:

The answer is 60 cups

Step-by-step explanation:

First you need to find the area of the box which would be

12in x 15in =180in

The second step wpuld be to divide the area of the box by how tall the cups are

180/3 = 60

5 0
3 years ago
Read the following excerpts from the New York Times (December 17, 1996) article Chance of Heart Attack Increases for Those Who S
nataly862011 [7]

Answer:

1. B

2. A

3. A

4. A

Step-by-step explanation:

Hello!

The study claimed that subjects who suffer depression are more likely to have a heart attack than those who are not depressed.

1551 persons were interviewed as part of the experiment and classified according to their answers in two groups "suffered depression" and "didn't suffer depression"

Afterward, the researchers looked up the medical history of all 1551 subjects and recorded how many of them had heard issues.

1.

An observational study is one where the researcher only determines the variables he wants to study without controlling or influencing any factor of the population of interest. Because there is no interference from the researchers, there is a high risk that confounding factors may affect the conclusions of it. These studies are usually precursors to experimental tests, it allows the researcher to have an idea of the association between the two variables but you cannot establish causal relationships from them.

This is an example of an observational study, the researcher merely recorded the variables of interest without interfering with any aspects that may influence them. (For example diet or exercise habits of the subjects)

2. and 3.

The objective of the study is to determine if "depression" causes "disposition to heart attacks"

The explanatory variable is "depression status of the subject" since it is what is suspected to influence over the heart condition of said subject and "heart attack status" is the response variable.

4.

Of the 1551 subjects originally studied, 444 were classified as depressed, of these 27 had heard attacks. You can calculate the "proportion of subjects that suffered depression and had heart attacks" as:

p': 27/444= 0.06 ⇒ 6%

Since this value was obtained from the sample, it is an estimation of the population parameter, also called statistic.

I hope it helps!

4 0
3 years ago
The cost of milk is expected to raise 106% over the next year
gulaghasi [49]

Answer: about $6.90


Step-by-step explanation: 106% of 3.35

100% of 3.35 is 3.35

6% of 3.35 is 0.201

Add them together and you get 3.551

When you round to the nearest cent, you get $3.55

After add 3.55 to 3.35 and you get $6.90


3 0
4 years ago
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