1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Serjik [45]
3 years ago
14

Which expression is equivalent to StartFraction (3 m Superscript negative 2 Baseline n) Superscript negative 3 Baseline Over 6 m

n Superscript negative 2 Baseline EndFraction? Assume m not-equals 0, n not-equals 0.
StartFraction m Superscript 5 Baseline Over 162 n EndFraction
StartFraction 1 Over 2 m cubed n EndFraction
StartFraction 8 m Superscript 9 Baseline Over n Superscript 9 Baseline EndFraction
StartFraction 4 m Superscript 8 Baseline Over 3 n cubed EndFraction
Mathematics
2 answers:
Dovator [93]3 years ago
8 0

Option a: \frac{m^{5} }{162n} is the equivalent expression.

Explanation:

The expression is \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } where m\neq 0, n\neq 0

Let us simplify the expression, to determine which expression is equivalent from the four options.

Multiplying the powers, we get,

\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }

Cancelling the like terms, we have,

\frac{3^{-3}m^{5} n^{-1}}{6 }

This equation can also be written as,

\frac{m^{5}}{3^{3}6 n^{1} }

Multiplying the terms in denominator, we have,

\frac{m^{5} }{162n}

Thus, the expression which is equivalent to \frac{(3m^{-2} n)^{-3}}{6mn^{-2} } is \frac{m^{5} }{162n}

Hence, Option a is the correct answer.

egoroff_w [7]3 years ago
6 0

Answer:

D

Step-by-step explanation:

You might be interested in
For which of these functions does the function value change at a constant rate per unit change in x? Explain.
NNADVOKAT [17]

Answer:

The function r(x) represents a constant rate per unit change in x.

Step-by-step explanation:

This is because when you increase in 2, it goes from 37 to 25, a decrease in 12, then when the x goes from 2 to 3, then it has to drop down by 6, or else it won't be linear. It does. 25-6 is 19. Then it goes from 3 to 5, meaning it has an increase of 2 in x, meaning it has to drop down in 12 to be linear, It does. 19-12 is 7. So it is linear, meaning it has a constant rate per unit change in x.

4 0
3 years ago
(01.01) Kisha and Rae are asked to solve −5x − 14 = 2x + 7. Identify where one of them made an error.
lora16 [44]
It's A. 
Rae made the error when she added 7. 
the equation should be:
<span>-14 - 7 = 7x + 7 - 7 </span>
3 0
3 years ago
Read 2 more answers
Four more than seven times a number is 12.” Write an equation that represents the statement. Then solve.
Leona [35]

7x + 4 = 12

7x = 12-4

7x = 8

x = 7/8

3 0
3 years ago
Solutions of 3x+2y=4 and 6x+4y=8
Alecsey [184]

Answer:

Infinite solutions

Step-by-step explanation:

1) First, you can solve this easily by elimination. Multiply the first equation by -2 in order to cancel out terms when adding to the second equation.

2) Then, add the new set of equations together. However, everything cancels out, bringing us to 0 = 0. This means that the lines the equations make must be the same. Thus, all real numbers must make this equation true, meaning that there are infinite solutions.

4 0
3 years ago
Read 2 more answers
The U.S. Bureau of Labor Statistics reports that of persons who usually work full-time, the average number of hours worked per w
alukav5142 [94]

Answer:

The standard deviation of number of hours worked per week for these workers is 3.91.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem we have that:

The average number of hours worked per week is 43.4, so \mu = 43.4.

Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.

This means that the Z score of X = 48 has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use Z = 1.175.

Z = \frac{X - \mu}{\sigma}

1.175 = \frac{48 - 43.4}{\sigma}

1.175\sigma = 4.6

\sigma = \frac{4.6}{1.175}

\sigma = 3.91

The standard deviation of number of hours worked per week for these workers is 3.91.

6 0
3 years ago
Other questions:
  • I need to know the answer for #24. HELP !!
    8·1 answer
  • Max has a monthly salary of $1,100 and also earns 7.5% commission on his sales. If Max had $43,000 in sales last month, what wer
    7·2 answers
  • What is 9x-4+3(x-11)=23
    9·2 answers
  • Polygons
    11·1 answer
  • Describe what happens to the exponential function when the value of "k" is<br> positive. *
    8·1 answer
  • The ratio 3:5 can be written in the form 1:n choose n from the following
    7·1 answer
  • Of 30 student, 1/3 play sports. Of those who play sports, 2/5 play soccer. How many students play soccer.
    13·1 answer
  • The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.40 before the discount, and
    14·2 answers
  • I want to know organic in grade 10<br>​
    11·1 answer
  • The blue graph is and the red graph is . Function was stretched vertically and reflected in the -axis to produce . Function is =
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!