Match each power of a power expression with its simplified expression

Match Each Power Of A Power Expression With Its Simplified Expression

Answers

Answer 1
1. (4^-3)^-3 = 4^9
2. (-4^9)^2 = (-4)^18
3. (4^6)^-3 = 4^-18 = 1/4^18
4. (4^0)^9 = 4^0
Answer 2

Answer:

answer in picture

Step-by-step explanation:

Match Each Power Of A Power Expression With Its Simplified Expression

Related Questions

Calculate the missing term. 32/24 = 20/___

Answers

Answer:

20/30

Step-by-step explanation:

Simplest form of 32/24= 4/3

Multiply both 4 and 3 by 10= 20/30

Hope this helps!

Sally found a wallet while walking down the street the other day and it contained 11 bills in total. The wallet had only $5 bills, $10 bills and $20 bills in it. The total value of all the bills was 115, and the total of the $5 and $10 bills was $75. Define the variables using xyz.

Answers

Answer:

x=3

y=6

z=2

Z is the number of $20 bill , y is the number of $ 10 bill and x is the number of $ 5bill

Step-by-step explanation:

Let the number of $5 bills be x,  number of$10 bills bey  and number of $20 bills be z in it.

Then

5x+ 10y+ 20z= 115------A

5x+10y= 75------B

Putting the values from A into B

75+ 20z= 115

20 z= 115-75

20z =40

z= 40/20 = 2

There were 2 bills of $ 20.

Now we are left with 9 bills which are of $5 and $10

so

x+y=9

or x= 9-y------C

Putting C in B

5(9-y) + 10y = 75

45-5y+10y= 75

45+5y= 75

5y= 75-45

5y= 30

y= 6

So the number of $10 bills are 6.

And the number of $5 bills are 3

Cost of an MP3 player: $59.95 Markup: 9%​

Answers

5.3955 This is the answer yw

The table below shows y, the average speed of a cyclist in miles per hour, and x, the time in hours that it takes the
cyclist to complete a bicycle tour. Which rational function best models the data in the table?
Time, x
(hours)
12
16
2
10
Average Speed, y
(miles per hour)
8
6
9
18
6
51
201
х
O ya
96
oy - 2x
2x
3
3
Save and Exit
Next
Submit

Answers

By putting every value of table x,   y = (96 / x) this gives the output of table y so that this is the correct answer.

By definition, it is known that speed equals the ratio of distance and time.

Speed = Distance / Time

Therefore, according to the definition, the last two options are the possible

 Let's evaluate the First option:

y = x/96

= 12/96

= 1/8

The table is not fulfilled

Let's evaluate the Second option: (12,8)

y= 2x/3

y= 2*12/3

y = 8

NOW,

(16, 6)

y= 2x/3

2*16/3

the answer will be on a fraction

The table is not fulfilled

Let's evaluate the third option:

y = (3/2) * (1 / x)

x = 12

y = (3/2) * (1/12) = 3/24 = 1/8

The table is not fulfilled

Let's evaluate the fourth option:

y = (96 / x)

x = 12

y = (96/12) = 8

Yes, the table is met.

Option 4 )  y = (96 / x)

By putting every value of table x,   y = (96 / x) this gives the output of table y so that this is the correct answer.

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what is the vertex of the graph function y=4x^2+8x-2

Answers

Answer:

vertex = (-1, -6)

Step-by-step explanation:

The function you gave is in the Standard Form : y = aX^2 + bX + c.

So you use the equation x = -b/ 2a    to solve for the x coordinate of your vertex.

Based on your question, a =4, b =8 and c = -2.

So you plug that in and get  x = -8/2(4).   Thus, x value for the vertex is -1.

Now you plug -1 into your original equation to find your y value.

y = 4 (-1)^2 + 8 (-1) -2

So y = -6.  Thus,  your vertex is at pt (-1, -6)

What value of w is a solution to this equation?
5w = 40

Answers

Answer:

8

Step-by-step explanation:

[tex]\frac{5w}{5} \frac{40}{5}[/tex]=8

Help me please? I don’t really get it TT

Answers

First, you have to move the decimal point before you divide like normally.  You need to move it so that the left number is a whole number.

So, 6.39/0.9 would turn into 63.9/9.

12.75/2.5 would turn into 127.5/25.  

You just move the decimal how ever many times to the right to make it a whole number.  In this case, it is 1 decimal place.

A.y=-2/3x-2
B.2/3x-2
C.3/2x+3
D.y=-3/2x+3

Answers

Answer:

a

Step-by-step explanation:

Use the graph representing bacteria decay to estimate the domain of the function and solve for the average rate of change across the domain.

Answers

Answer:

c: 0 < x < 60, -3.33

Step-by-step explanation:

The path of water from a hose on a fire tugboat can be approximated by the equation y = −0.0045x2 + 1.15x + 10, where y is the height, in feet, of the water above the ocean when the water is x feet from the tugboat. When the water from the hose is 3 feet above the ocean, at what distance from the tugboat is it? Round answer to nearest hundredth.

Answers

Answer:

x = 261.50 ft

Step-by-step explanation:

From the question, we want to calculate the distance from the tugboat given the height of the hose above the ocean

This means y is 3 and we want to find x

Substitute value for y

3 = -0.0045x^2 + 1.15x + 10

3 + 0.0045x^2 - 1.15x - 10 = 0

That will be;

0.0045x^2 - 1.15x - 7 = 0

we can use the quadratic formula here;

a = 0.0045

b = -1.15

c = -7

Mathematically;

x = -b ± √b^2 - 4ac/2a

Thus we have;

x = 1.15 ± √(-1.15)^2 - 4(0.0045)(-7)/2(0.0045)

We have;

x = 1.15 ± 1.2035/0.009

x = (1.15+ 1.2035)/0.009

we ignore the negative since distance cannot be negative

x = 261.50 ft

pls help brainless whoever gets the answer right i only have 2 attemps left + about 16 points

Answers

do you still need help?

Answer:

BRIIIIIIIIIIII I MISSED YOU BFF

Step-by-step explanation:

State what additional information is required in order to know that the triangles are congruent for the reason given. (Your answer will be a congruency statement. You may use the = sign if you do not have equation)
SAS

Answers

Answer:

i cant see the image

Step-by-step explanation:

pls help i get part a but i just don’t get part b and I have tried so many different answers

Answers

ok so find the percentage of 25% of 24 so it is 6 so you add 6 to the original number and now it’s in total of 30 boys and then you do the opposite for girls. 10% of 20 is 2 so you decrease it by subtracting 2 from 20 which is 18 so you add together is 48 but before the total was 44 so you see how much percent it increased :)

The graph of G(x)=4x^2 is a vertical shrink or stretch of the parent function

Answers

Answer:

It is a vertical shrink of the parent function.

Help please,

The height of a pizza box is 1 3/4 inches. What is the height in inches of 8 pizza boxes?

Answers

Answer:

14 inches

Step-by-step explanation:

1 3/4*8=

A graph titled Top 10 Industries with Fastest Growth and Salary Employment 2000 to 2010 showing percent change for the following: health services, 57; personnel supply services, 49; warehousing and storage, 45; water and sanitation, 45; computer and data processing, 86; management and public relations, 42; cable television services, 51; residential care, 64; business services, 43; equipment rental and leasing, 42.
According to the above graph, which industry will have 25% more growth than health services over the period from 2000 to 2010?
.
a.
Equipment rental and leasing
b.
Residential care
c.
Computer and data processing
d.
None of these



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

c. computer

Step-by-step explanation:

The best answer is Computer and data processing.

What is data?

In computing, data is information that has been translated into a form that is efficient for movement or processing.

Given:

health services, 57;

personnel supply services, 49;

warehousing and storage, 45;

water and sanitation, 45;

computer and data processing, 86;

management and public relations, 42;

cable television services, 51;

residential care, 64;

business services, 43;

equipment rental and leasing, 42.

So, according to the given data the highest record is given by computer and data processing.

hence, industry which will have 25% more growth than health services over the period from 2000 to 2010 is Computer and data processing

Learn more about data here:

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I need help please ?

Answers

Answer:

4

Step-by-step explanation:

Answer:

The answer is 4

please help with my geometry​

Answers

Answer:

add

80+25=180

and u will get your answer

Jessie has a board that is 8 feet long how many 1/4 foot sections can she cut from this board

Answers

Answer:

2.

Step-by-step explanation:

Divide 8 by 1 over 4. The line in a fraction represents the division line. 1/4 is 0.25, so you do 0.25 x 8. Hope this helps!

write an equation that goes through the ordered pairs (2,-1) and (4,-6) ​

Answers

Answer:

y = -5/2x +4

Step-by-step explanation:

Find the slope:

  m = (y2 - y1) / (x2 - x1)

  m = (-6 - (-1)) / (4 - 2)

  m = -5 /2

y = mx + b

y = -5/2x + b

Solve for b:

  y = -5/2x + b

  -1 = (-5/2)(2) + b

  -1 = -10/2 + b

  -1 = -5 + b

  b = 4

y = -5/2x + 4

What can you tell about the mean of each
distribution?
The average cost of a dog's annual visit is about $76.10 more at A New Leash
on Life Animal Clinic than the average cost of a dog's annual visit at No Ruff
Stuff Animal Hospital.
The average cost of a dog's annual visit is about $76.10 less at A New Leash
on Life Animal Clinic than the average cost for a dog's annual visit at No Ruff
Stuff Animal Hospital.
The average cost of a dog's annual visit is about $19.35 more at A New Leash
on Life Animal Clinic than the average cost of a dog's annual visit at No Ruff
Stuff Animal Hospital.
The average cost of a dog's annual visit is about $19.35 less at A New Leash
on Life Animal Clinic than the average cost for a dog's annual visit at No Ruff
Stuff Animal Hospital.

Answers

Answer: 76.10 more at A New Leash on life Animal Clinic than the average cost of a dog annal visit at No Ruff Stuff Animal hospital

Using Mean And Mean Absolute Deviation to Compare Data Quiz Level G

Find the slope of the line that passes through each pair of points.

(5, 9), (3, 9)

Answers

Answer:

0

Step-by-step explanation:

Please help me with this question on the screen

Answers

Answer:

D

Step-by-step explanation:

Thats the order from least to greatest

Answer:

D ) 1/3 , 3/8 , 2/5 , 3/7

Step-by-step explanation:

1/3 = 0.33 …

3/8 = 0.375

2/5 = 0.4

3/7 = 0.428571428571 …

Hope this helps! <3

Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.

Write an expression to represent this scenario where r represents the number of rides.

Answers

Answer:

y=1.4r+8.00

Step-by-step explanation:

A bag of 6 apples costs $1.35 at Sam's Orchard.

a. At this same rate, how much would 20 apples cost?

b. How many apples could you buy for $4.95?

c. What is the unit cost per apple?

Answers

Answer:

A. 20 apples cost 4.50

B. with 4.95 you can buy 22 apples

C. each apple is 0.22 cents

hopefully its right

Answer:

A. 20 apples cost 4.50

B. with 4.95 you can buy 22 apples

C. each apple is 0.22 Cents

Step-by-step explanation:

What are the factors of 85?

Answers

Answer:

1,5,17,85,

Step-by-step explanation:

1 5 17 85 theses are the factors

Solve for x: (5x + 28)° (4x + 30)°​

Answers

Answer:

x = 2

Step-by-step explanation:

The 2 angles are vertical and congruent, thus

5x + 28 = 4x + 30 ( subtract 4x from both sides )

x + 28 = 30 ( subtract 28 from both sides )

x = 2

Does anyone know how to do these i'm so confused.

Answers

Answer:

Its 2/1, the slope is at the last on on the table. You can see the ratio change.

simplify the equation and tell whether the equation has one solution, no solution, of infinitely many solutions. 9(x+5) = 20+9x+25

Answers

Answer:

Infinite Solution

Step-by-step explanation:

no matter what you put for x you would still get 9x+45=9x+45 if you put x=8 it would equal the same on both sides

The system of equations  9(x + 5) = 20 + 9x + 25 has infiinitely many solutions.

What is the graphical solution of a system of equations?

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Given, 9(x + 5) = 20 + 9x + 25.

9x + 45 = 20 + 9x + 25.

9x + 45 = 9x + 45.

So, They are basically the same straight lines coinciding with each other and have infinitely many solutions.

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Use the distributive property to find the product of the rational number.
-3/4 ( -1/5 - 3/5)
A. 3/5
B. 4/5
C. 9/20
D. - 3/5

Answers

You multiply the fractions and then add the distributed fractions and you then simplify.

The answer is 3/5.

After using distributive property the product of the rational number is equals to [tex]\frac{3}{5}[/tex] .

What is rational number?

" Rational number is defined as the number which is represented in the [tex]\frac{p}{q} , q\neq 0[/tex] form ."

Distributive property

[tex]A ( B \± C) = AB \± AC[/tex]

According to the question,

Given product of the rational number,

[tex]\frac{-3}{4}( \frac{-1}{5}-\frac{3}{5})[/tex]

Apply distributive property to simplify the given rational number we get,

[tex](\frac{-3}{4})( \frac{-1}{5})-(\frac{-3}{4}) (\frac{3}{5})\\\\= (\frac{3}{20})+(\frac{9}{20})\\\\= (\frac{12}{20})\\\\= (\frac{3}{5})[/tex]

Hence, Option(A) is the correct answer.

Learn more about  rational number here

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