simplify each expression by multiplying monomials: -7c^8 * (-4c^3)^2

Answers

Answer 1

Answer:

-112[tex]c^{14}[/tex]

Step-by-step explanation:

-7[tex]c^{8}[/tex] [tex](-4c^{3}) ^{2}[/tex] in expanded form this would be

-7cccccccc-4ccc-4ccc rearranged with like factors together

-7-4-4cccccccccccccc

For the numbers, count the negative signs.  It the sum is an even number than the product is positive.  If the sum is a negative number, then the product is negative.  There are a total of 3 negative signs.  This is a odd number so the product is negative

-112[tex]c^{14}[/tex]   There are a total of 14 c's

Or

You could use the power rules.

When a power is raised to a power.  The exponent goes to every factor in the parentheses.

[tex](-4)^{2}[/tex] [tex](c^{3}) ^{2}[/tex]  -4 times -4 is 16 The power of power property tells us that when a power is raised to a power we multiply the exponents so we now have

16[tex]c^{6}[/tex]  When we multiple this by -7[tex]c^{8}[/tex]  We multiply 16 x -7 which is -112.  The product of powers principle tells us that when we multiply powers with the same bases, we add the exponents.

-112[tex]c^{14}[/tex]


Related Questions

What would F^-1(-2) equal

Answers

Answer:

I hope this helps:)

Step-by-step explanation:

(NEED HELP)

You buy a cell phone for $95.The sales tax is 6.25%. How much do you pay in all?

Answers

Answer:

This is an percentage change question. By any chance if you have an maths textbook, look for units that contains the topic: Percentage Change

Step-by-step explanation:

$95 x 6.25% = 5.9375

So, 95 + 5.9375 = ($) 100.9375 (Answer)

Or ($) 100.1 (Rounded Answer) (1 decimal place)

Stay safe and Merry Christmas! :)

Find the rate of change of the function by using two points from the table. Write in the simplest form.
x 2 4 6 8
y 5,8,11,14

Answers

Rate of change of given points is 3/2.

Given that

The values of x and y,

x values are 2, 4, 6, 8 and

y values are 5, 8, 11, 14.

To find

Rate of change = ...?

So, according to the question

we have,

The values of x =  2, 4, 6, 8

The values of y =  5, 8, 11, 14.

We know that,

Rate of change = (change in y )/(change in x)

 = [tex]\frac{8-5}{4-2}[/tex]

  = [tex]\frac{3}{2}[/tex]

The difference of other points are same, so the rate of change of given coordinates is 3/2.

Rate of change = 3/2

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Anyone it is almost due help

Answers

Answer: I not super sure, but I think you are supposed to put the equations on each side of the table. Your end result should be 2x to the second -5x-3.

Step-by-step explanation:

Find the 50th term of the following arithmetic sequence.
13, 22, 31, 40,
---

Answers

Answer:

454

Step-by-step explanation:

The formula for this arithmetic sequence is: 9n+4

1st term: 9(1)+4 = 13

2nd term: 9(2)+4 = 22

3rd term: 9(3)+4 = 31

4th term: 9(4)+4 = 40

.

.

.

50th term: 9(50)+4 = 450+4

                                = 454

The 50th term is 454

Mrs. Alvarez paid $28.50 for a flower arrangement she ordered. She paid a fee of $10.50 for delivery and $1.50 per flower. Which equation can be used to find f, the number of flowers she had in the arrangement?

Answers

Answer:

1.5f + 10 = 28.5

Step-by-step explanation:

Answer:

12 i think

Step-by-step explanation:

28.50-10.50=18

18 divided by 1.50= 12

Any tv recommendations..........?

Answers

Dragon Prince is an amazing tv show!!!

Answer:

I would recommend a Samsung TV but that is just what I think oh nvm a TV show um Big mouth on Netflix

98.37% as a decimal exsplain

Answers

Answer:

.9837

Step-by-step explanation:

to go from decimal to percentage, you would multiply by 100 or move the decimal point two to the right. so, to move from percentage to decimal, you would divide by 100 or move the decimal two to the left.

98.37% = .9837

Answer:

To convert from a percent to a decimal, you divide the percent # by 100 and take the % off. So therefore, 0.9837!!

Step-by-step explanation:

Hope this helps and please give me brainliest!!

I will give brainlist! I promise!

Answers

Answer:

Picture A: statement c is incorrect. It should be: The scale factor used was 0.4.

Picture B: statement B is incorrect. It should be: Line KL corresponds with line FG.

Second pic:

Amos was correct

Tash was correct

Both were correct

Step-by-step explanation:

help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

the $25 one

Step-by-step explanation:

70% of 30 is 21, so you will be paying $9.

But if you use the $25 one you will only be paying $5.

Hope this helps!! :)

Answer:

$25 coupon would be a better deal.

Step-by-step explanation:

30 * 0.70 = 21

70% of $30 is $21

So the $25 coupon will help save more money.

|x + 8| = |2x + 1| Pls answer.....

Answers

The answers would be x= -3, 7

Which graph represents y = StartRoot x EndRoot?

Answers

Answer:

b

Step-by-step explanation:

e2021

Answer:

Which graph represents y = [tex]\sqrt{x}[/tex]

Step-by-step explanation:

Answer B Edge 2022

it is subtracing and adding linear expressions 12(−4x+8)−14(8x−12)

Answers

Answer:

Step-by-step explanation:

Was this a question or a answer because I will answer it in the comment if it is a question

Simplify the expression:
6u - 5u - u

Answers

Answer:

Your correct answer is ZERO.

Step-by-step explanation:

6u - 5u = u

u - u = 0

**please mark brainliest!!

Pwease help its just easy math

Answers

Answer:

its divided into sixths

Rewrite the expression 18 with an
exponent.

Answers

18^4 this is another way to show an exponent

Simply the equation 3x+1=2x+5

Answers

Answer:4

Step-by-step explanation: 3x+1−2x=2x+5−2x

                                               x + 1 = 5

                                               x+1−1=5−1

                                                x=4

Answer:

Simplifying

3x + -1 = 2x + 5

Reorder the terms:

-1 + 3x = 2x + 5

Reorder the terms:

-1 + 3x = 5 + 2x

Solving

-1 + 3x = 5 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-1 + 3x + -2x = 5 + 2x + -2x

Combine like terms: 3x + -2x = 1x

-1 + 1x = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0

-1 + 1x = 5 + 0

-1 + 1x = 5

Add '1' to each side of the equation.

-1 + 1 + 1x = 5 + 1

Combine like terms: -1 + 1 = 0

0 + 1x = 5 + 1

1x = 5 + 1

Combine like terms: 5 + 1 = 6

1x = 6

Divide each side by '1'.

x = 6

Simplifying

x = 6

Answer is 6

What is (6×5-6) +56​

Answers

Answer:

(6x5 -6) +56

(30-6) +56

24+56

80

Step-by-step explanation:

Write a compound inequality for the following graph. ​

Answers

Answer:

[tex]x = 0 \leqslant 0.25[/tex]

Can someone help me plz I will mark brainliest

Answers

Answer:

1 solution

Step-by-step explanation:

There is exactly one solution because when both lines are graphed, they intersect at only one point, (1.5,-1).

Answer:

Either no solutions or infinite..

Step-by-step explanation:

I am not exactly sure, but I am taking a guess. IF this equation requires a definite answer, then no solutions. Otherwise, if x or y can equal to any number, then, infinite numbers. I would recommend to look at what other people say before reading this and taking a guess.

please help what’s the domain and range

Answers

Answer & Step-by-step explanation:

The domain is the x values and the range is the y values.

Domain:

Note the lowest x values the line includes. Although it starts at x=2, it curves back to x=1 and then curves past 1. Therefore:

[tex]domain:x\geq 1[/tex]

x is greater than or equal to 1.

Range:

Find the lowest y value that is included in the line. Since the line starts at y=-1 and only moves upward after then:

[tex]range:y\geq -1[/tex]

the y values are greater than or equal to -1.

:Done

HELP!!!! WILL MARK BRAINLIEST!!!!

Answers

Answer:

Slope= average rate of change = rise over run

Step-by-step explanation:

Answer: A

There are about 3×10power 11 stars in our galaxy and about 100 billion galaxies in the observable universe. Suppose every galaxy has as many stars as ours. How many stars are in the observable universe? Write in scientific notation.

Answers

(3 x 10 ^ 11) x (1 x 10 ^11) = 3 x 10^22

What is the equation of the line that is parallel to the
given line and passes through the point (12, -2)?
O y=-x + 10
O y=-x + 12
O y=-x-10
y = 2 x - 12

Answers

Answer:2,-12

Step-by-step explanation:

Technology required. Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.

a. Write an equation that represents the relationship between the dollar amount in her bank account and the number of weeks of saving.

b. Graph your equation using graphing technology. Mark the point on the graph that represents the amount after 3 weeks.

c. How many weeks does it take her to have $250 in her bank account? Mark this point on the graph.

Answers

The given problem is about a person named Priya who started with $50 in her bank account and deposited $20 each week for 12 weeks. We need to find out after how many weeks she will have $250 in her bank account and also plot the given data on a graph, given that technology is required.Let's solve the given problem step by step:a) We can represent Priya's bank account after n weeks as follows:$50 + $20n

This is because she started with $50 and deposited $20 each week for n weeks.Now, to graph this equation, we can use any graphing calculator or software.

For example, we can use the Desmos Graphing Calculator, which is free and available online.To plot the given data, we need to set the domain as {0, 1, 2, 3, ..., 12} (for 12 weeks), and the range as {50, 70, 90, 110, ..., 290} (according to the equation). Then we can plot the points as follows:

After plotting the points, we can connect them with a straight line to get the graph of the equation.$$$$b)

To mark the point that represents the amount after 3 weeks, we need to find the value of the equation for n = 3, which is:$50 + $20(3) = $110This means that after 3 weeks, Priya will have $110 in her bank account.

We can mark this point on the graph as follows:$$$$$c) To find out after how many weeks Priya will have $250 in her bank account, we need to solve the following equation:$50 + $20n = $250Subtracting $50 from both sides, we get:$20n = $200Dividing both sides by $20, we get:n = 10

This means that after 10 weeks, Priya will have $250 in her bank account. We can mark this point on the graph as follows:$$$$$Therefore,

we can conclude that it will take Priya 10 weeks to have $250 in her bank account, and we can represent this data on a graph using graphing technology.

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[a] Answer: y = 20x + 50

Step-by-step explanation:

    We can write a linear equation to answer this part. Priya starts with $50 and adds $20 every week. Let y be the total amount of money in the bank account and x be the number of weeks passed. We will write a slope-intercept equation, where 20 is the slope and 50 is the y-intercept.

    y = 20x + 50

[b] Answer: (3, 110)

Step-by-step explanation:

    Next, we will use a graphing calculator as asked. Here I am using Desmos Graphing Calculator, it is free to use and online. We can type in our equation above, y = 20x + 50. See attached. Since she will not have negative weeks that she deposits, and she only deposits for 12 weeks, we will add {0 ≤ x ≤ 12} to our equation when we graph.

    Since x is the number of weeks passed, 20(3) + 50 = 110, giving is the point (3, 110).

[c] Answer: 10 weeks

Step-by-step explanation:

    Now, we need to find the point where she has $250 in her bank account. Since y is the total amount of money in her bank account, we can find where y = 250 on the graph.

    This is at (10, 250), or 10 weeks.

What is the value of x? 2/3(x-6)=6​

Answers

Answer: x=15

Step-by-step explanation: THIS IS THE CORRECT ANSWER

A fisherman can row upstream at 4 mph and downstream at 6 mph. He started rowing upstream until he got tired and then rowed downstream to his starting point. How far did the fisherman row if the entire trip took 2 ​hours?

Answers

I think the answer maybe be 10 miles. If he rowed upstream, that is four, and it took only one hour. Downstream he went 6 mph. We dont know how long he spent each way, so it might be cut evenly in half. Saying he spent one hour too and fro, the answer would be ten because all we have to do is add 4 and 6. This may be completely wrong, but there isn’t that much context.

1) 4(0.1y + 5)

2) 0.6(3h+5)

Answers

Answer:

1) 0.4y + 20

2) 1.8h + 3

Step-by-step explanation:

1) 4(0.1y + 5) = 0.4y + 20

Multiply (4) to (0.1y) and then multiply (4) to (+5).

2) 0.6(3h + 5) = 1.8h + 3

Multiply (0.6) to (3h) and then multiply (0.6) to (+5).

Cora is building towers of two different sizes using prism- and pyramid-shaped blocks. The diagram shows the ratio of prisms and pyramids in each tower.The table shows the number of prisms and the number of total blocks that Cora will use on each of her towers.
Based on the ratio, complete the missing values in the table.
Tower Prisms Total blocks
A 16
B
35
PLEASE HELP ME

Answers

Here is the completed table:

Tower Prisms Total blocks

A          16              20

B           28          35

What are the number of blocks?

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).

Ratio of prism shaped blocks to pyramid shaped blocks = number of prism shaped blocks : number of pyramid shaped blocks

4 : 1

Number of pyramid blocks when there are 16 prism shaped blocks : 16 / 4 = 4

Total number of blocks : 4 + 16 = 20 blocks

Number of prism blocks when there are 35 blocks : (ratio of prism blocks /sum of ratios) x  total number of blocks

(4/5) x 35 = 28 blocks

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Whats the answer marking brainliest:D

Answers

In quadrant ll

Hope that helps
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