Write the quotient in repeated multiplication form. Then write the quotient as a power.

The quotient as repeated multiplication is
The quotient as a power is

Write The Quotient In Repeated Multiplication Form. Then Write The Quotient As A Power.The Quotient As

Answers

Answer 1

The expression written as a product is:

[tex](-4.5)^6*(-4.5)^{-2}[/tex]

And written as a power:

[tex](-4.5)^4[/tex]

How to rewrite the expression?

Here we need to remember the two rules:

[tex]a^n = \frac{1}{a^{-n}}[/tex]

[tex]a^n*a^m = a^{n + m}[/tex]

Using the first one, we can write the quotient as a product:

[tex]\frac{(-4.5)^6}{(-4.5)^2} = (-4.5)^6*(-4.5)^{-2}[/tex]

Now we can use the second property to write the expression as a single power, we will get:

[tex]\frac{(-4.5)^6}{(-4.5)^2} = (-4.5)^6*(-4.5)^{-2} = (-4.5)^{6 - 2} = (-4.5)^4[/tex]

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Related Questions

Find the ratio of the trig function indicated.

Answers

Answer:

[tex]\huge\boxed{\bf\:Ratio = 4:5}[/tex]

Step-by-step explanation:

We have a right angled triangle given.

At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.

Now, in the given triangle, from the view of ∠θ,

Opposite side of the triangle = 8 Hypotenuse = 10

Then,

[tex]\sin \theta = \mathrm{\frac{opposite \: side}{hypotenuse}}\\\sin\theta = \frac{8}{10}\\\sin\theta = \frac{4}{5}\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

1 in. = 2 ft. what is the area of the actual living room?​

Answers

Answer:

........................

Answer:

[tex]144ft^{2}[/tex] (144ft^2)

Step-by-step explanation:

Since the living room is 6 inches by 6 inches, the formula of the living room can be seen as: [tex]6in^{2}[/tex]. And since each inch is equal to 2 feet, (6*2=12) we can turn the equation into: [tex]12ft^{2}[/tex]. 12 times 12 is 144, so the answer is [tex]144ft^{2}[/tex]

Find the least positive integer that has a remainder of 2 when you divide by 5, a
remainder of 5 when you divide by a 8, and a remainder of 8 when you divide by 11.

Answers

When  you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.

What is a quotient?

The term quotient refers to the number that is obtained when you divide a number by another.

When  you divide 12 by 5, the remainder is 2. When you divide 37 by 8, the remainder is 5. When you divide 30 by 11, the remainder is 8.

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*PLSSSS HELP WILL GIVE 30 POINTS I'M DESPERATE*

What type of number is -6?
Select *ALL* correct answers

_integer _irrational
_rational _whole
_natural _real

Answers

Answer:

rational real whole

Step-by-step explanation:

Kim asked the first 50 kids to school in the morning how they feel about waking up early. she uses their response to predict the responses for the entire school. was her survey random?

Answers

Kim's method of sampling the students in the given scenario is said to; It is not a random survey.

What is a random sample?

Random sampling is defined as a sampling technique whereby each sample has an equal probability of being chosen. This means that a sample chosen randomly is meant to be an unbiased representation of the total population.

In this question, we are told that Kim asked the first 50 kids to school in the morning about a question and used their responses to arrive at a conclusion.

Now, Kim's method is not random because it is biased as only those who came earliest were asked.

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polynomials ( math )
pls help

Answers

Answer:

f(x) = x¹² + 4

Step-by-step explanation:

Degree 12:

This means that one of the terms needs to be raised to the power of 12. The term should be a variable. Therefore, a term you can use is x¹².

2 Terms:

This means there should be 2 separate entities in the expression. These terms are non-combinable unless you input an "x" value. The 2 terms you could use for this expression are x¹² and a constant.

Constant:

Constants are numbers that are not beside any variables. In other words, they are not being multiplied to the "x" value. The constant you could use is (4).

Putting all of these together, one of the many expressions that could satisfy the prompt is f(x) = x¹² + 4.

24. Write a formula to estimate the amount of material required to cover Firm 3's structure, not including the floor. Explain your reasoning. (2 points: 1 for the formula, 1 for the explanation)

Answers

Formula to estimate the amount of material required to cover firm 1's structure not including the floor is; πr² + πrh

How to Generate Formulas?

From the complete question seen online,

The given parameters are;

The shape of the firm 1's structure = Cylindrical shape

The radius of the firm 1's structure = 35

Height of firm 1 structure = 60

The amount of material to cover the firm 1 structure not including the floor = The surface area of a cylinder excluding the base

The formula for the surface area of a cylinder = 2πr² + πrh

If we take away the area of the base, we have;

Surface area of a cylinder excluding the case  = 2πr² + πrh - πr² = πr² + πrh

Formula to estimate the amount of material required to cover firm 1's structure not including the floor = πr² + πrh

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Type the correct answer in the box. use numerals instead of words. a population of beetles increases by 5% every year. if at the start of the year the population is at 10,000 beetles, what will its population be after three years? at the end of the third year the population of beetles will be .

Answers

From the calculations, we can see that the number of beetles after three years is 11618 beetles.

What is an exponential problem?

The term "exponential problem" has to do with any problem in which the increase or decrease occurs exponentially.

In this case we have P = Poe^rt

Po = 10,000

r = 0.05

t = 3

P =  10,000 e^(0.05 * 3)

P= 11618 beetles

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2. a science museum has a spherical model of the moon with a diameter of 6.4 ft. what is the volume of the model to the nearest cubic foot? show your work.

Answers

The volume of the model to the nearest cubic foot is 137 ft³

Volume of a sphere

Volume of a sphere = 4/3πr³

π = 3.14Diameter = 6.4 ft

Radius, r = diameter / 2

= 6.4 ft / 2

= 3.2 ft

Volume of a sphere = 4/3πr³

= 4/3 × 3.14 × 3.2³

= 4/3 × 3.14 × 32.768

= 411.56608 / 3

= 137.188693333333

Approximately,

Volume of the sphere = 137 ft³

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25° 35° to 205° circle ​

Answers

Answer:

x = 60

Step-by-step explanation:

the chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

The sum of the arcs in a circle = 360° , then

intercepted arc = 360° - (35 + 25 + 205)° = 360° - 265° = 95°

then

x = [tex]\frac{1}{2}[/tex] (95 + 25 ) = [tex]\frac{1}{2}[/tex] × 120 = 60

Complete the function table

Answers

Answer:

-3. -5

-2. -4

-1. -3

0. -2

1. -1

formula is f(x)=x-2

Hey! So I need to study for my Algebra 1 finals can someone link me a video or give me a way to study for algebra 1. I have a week or so

Answers

Answer:

Review your state Standards.

Notes

Khan on your topic or grade level

Dealta Math

Math Nation

Select the correct answer from each drop-down menu.
A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of
sources. For each water source, he has sample with no treatment and a sample treated with the recommended amount of the water softener
salt.
He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.
The conclusion drawn from the study is
v because the sample is
v . In this instance, an
v study was
performed.

Answers

The conclusion drawn from the study is valid because the sample is homogenous. In this instance, an experimental study was performed.

What is an experimental study?

An experimental study can be defined as a quantitative research method that is used by a researcher to determine and show the effects of changes in the dependent variable, while placing other relevant independent variables under control.

Based on the experimental study conducted by using water from a variety of sources, the conclusion which can be drawn from this study is valid because the sample is homogenous.

In this instance, we can infer and logically deduce that an experimental study was performed.

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If I get 10 dollars a week how much money will I have saved up in 9-years I WILL GIVE 55 POINTS

Answers

Answer:

$4,680

Step-by-step explanation:

Rate : 10 dollars a week

Per year : 10 x 52 = $5209 x 520 = $4,680

You will have saved up $4,680 in 9 years.

Help me solve this problem please

Answers

the mean numbers of point scored is greater than 12 points(C.)

PLEASE HELP ME IVE BEEN SITTING HERE FOR HOURS

Answers

Answer:

0-9: 4

10-19: 4

20-29: 1

30-39: 4

40-49: 2

Step-by-step explanation:

Since frequency means how many times it showed up in the list

this all adds up to 15, making it an easy check.

hope this helps:)

(Look at image) Need help for question 6. Tried looking into it but still failed. I couldn’t understand what the question was asking me so I need some help asap by tomorrow.

Also do not mind the other answers. Those were already answered by epic people (thanks again)

Answers

Answer:

For 4 its 6 due to having 0 INCHES for 6 days (The answer to number 6 which is what your looking for is 1 12/8 simplify that and It'd be 2 1/2)

Step-by-step explanation:

This is because adding up the total rain falls will get you to 2 1/2

Please belpppp don’t understand

Answers

Answer:

[tex]3w^2\sqrt[4]{2w^3}[/tex]

Step-by-step explanation:

hope this helps!:)

Calculate each probability, given that P(A) = 0.5, P(B) = 0.4 and P(A and B) = 0.1.
P(A | B). Show work!!

Answers

The answer should be 0.21

Answer:

P(A|B) =0.25

Step-by-step explanation:

P(A|B) = P(A and B) / P(B) = 0.1/0.4 =0.25

what is the slope of the liner equation y=7x-2​

Answers

Answer:

Hence, slope of y=7x−2 is 7 and y -intercept is −2.

Step-by-step explanation:

The equation of any straight line can be written as y=mx+c, where m is its slope and c is its y-intercept.

Comparing the equation y=7x−2 with the standard form of the equation, we get:

m=7,c=−2

Hence, slope of y=7x−2 is 7  and y -intercept is −2

Hope this helps :)

Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Answers

Is the relationship between the step number and number of squares a quadratic function.

Analyze

Step 1 = 2 squares

Step 2 = 6 squares

Step 3 = 12 squares

2, 6, 12

 4   6

    2

To build a quadratic function

ax² + bx + c

2a = 2 ⇒ a = 1

3a + b = 4 ⇒ 3(1) + b =4 ⇒ b = 1

a + b + c = 2 ⇒ 1 + 1 + c = 2 ⇒ c = 0

Equation: x² + x

Hence, Yes it is a quadratic function.

Answer:

It is quadratic with nth term = n^2 + n.

Step-by-step explanation:

Number of squares in each term = 2, 6 and 12

Differences between these  are   4 and 6

6 - 4 = 2

This is an indication of a quadratic function  with n^2 the first term.

Value of n^2 for first 3 terms

=                    1     4     9    and the terms are:

                     2     6    12

Differences   1     2       3    

This last term  = n

So the quadratic function for this sequence is

n^2 + n.

12 + 5 + 32 × 10 − 5 =
(12 + 5) + 32 × (10 − 5) =

Answers

Exercise number 1.12 + 5 + 32 × 10 − 5

Add 12 and 5 to get 17.

17 + 32 × 10 − 5

Multiply 32 and 10 to get 320.

17 + 320 − 5

Add 17 and 320 to get 337.

337−5

Subtract 5 from 337 to get 332.

332 ===> Answer

Exercise number 2.(12 + 5) + 32 × (10 − 5)

Add 12 and 5 to get 17

17 + 32 (10 − 5)

Subtract 5 from 10 to get 5.

17 + 32 × 5

Multiply 32 and 5 to get 160.

17+160

Add 17 and 160 to get 177.

177 ===> Answer

If AD=2:5 the coordinates of point F are. Point E has the coordinates (3.8, -3) and the coordinates of point D are

Answers

Using the assumed coordinates of point F, the coordinates of point D are (3,3)

How to determine the coordinates of D?

The given parameters are:

Ratio, m : n = 2 : 5

E = (3.8, -3)

The coordinates of point D is calculated using:

[tex]D = \frac{1}{m + n} * (mx_2 +nx_1,my_2 +ny_1)[/tex]

So, we have:

[tex]D = \frac{1}{2 + 5} * (2x_2 +5*3.8,2y_2 +5*-3)[/tex]

Evaluate the sum and the products

[tex]D = \frac{1}{7} * (2x_2 +18,2y_2 -15)[/tex]

Assume the coordinates of point F are:

F = (1.5,18);

The equation becomes

[tex]D = \frac{1}{7} * (2*1.5 +18,2*18 -15)[/tex]

Evaluate

[tex]D = \frac{1}{7} * (21,21)[/tex]

This gives

D = (3,3)

Hence, the coordinates of point D are (3,3)

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if r=5 and h=3cm what is the volume of the cone (assume pi =3.14

Answers

Answer:

should be 78.5

Step-by-step explanation:

the formula for volume of a cone is V = pi^2 x H/3

so if you plug in the values you get V= 3.14 x5^2 x3/3 making the awsnser 78.5

Find the arc length and sectors perimeter of an 85 degree arc of a circle with a finger radius of 4ft

Answers

Answer:

Arc length = 5.93 ft

Perimeter = 13.93 ft

Step-by-step explanation:

85/360*2*π*4 = arc length

5.93411946 ft

Perimeter = 4+4+5.93 = 13.93 ft

does someone mind helping me with this problem? Thank you!

Answers

Anyea

Step-by-step explanation:

Answer:

180 inches squared (^2)

Step-by-step explanation:

To find the area of a rectangle, simply multiply the length by the width (15*12)

Don't forget it is squared! Good luck!

Solve the following system of equations by linear combination: 5x + 2y = 14 y = x – 7 (4, –3) (2, –5) (–5, 2) (–3, 4)

Answers

The solution to the system of equations is (-3,4)

How to solve the system of equations?

The equations are given as:

5x + 2y = 14

y = x – 7

Substitute y = x – 7 in the first equation

5x + 2(x - 7) = 14

Expand

5x + 2x - 14 = 14

Evaluate the like terms

7x = 28

Divide

x = 4

Substitute x = 4 in y = x – 7

y = 4 – 7

Evaluate

y = -3

Hence, the solution to the system of equations is (-3,4)

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A $52 video game is advertised for 20% off
If sales tax is 6%; how much will the
video game cost?

Answers

Answer:

Equation: 52+(52•.20) that is the first part for your answer you should get 10.4 or $10.40. Then you would take 52-10.4=41.60 then keeping that number in mind you do 41.60• .06 and get, rounded, 2.50. Then you would add 41.60+2.50 and get $44.10 as your answer . I hope I could help

Step-by-step explanation:

What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units

Answers

The unfilled volume inside the cylinder is determined as 640π cubic units.

Volume of the cylinder

The volume of the cylinder is determined as follows;

V = πr²h

where;

r is radius of the cylinder given as 8 unitsh is height of the cylinder determined as 15 units

V = π(8²)(15)

V = 960 π cubic units

Volume of cone

V = ¹/₃πr²h

where;

r is radius of the cone given as 8 unitsh is slant height of the cone determined as 15 units

V = ¹/₃π(8)²(15)

V = 320 π cubic units

Unfilled volume of the cylinder

ΔV = 960 π - 320 π = 640 π cubic units

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Answer:

It’s C

Step-by-step explanation:

i got a 100% on my quiz so trust me

ur wlcm :)

Arrange the hyperbolas in increasing order of the horizontal widths of their asymptote rectangles.

Answers

The  increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from  y = ± x.

What is a Hyperbola?

This is defined as a two-branched open curve formed by the intersection of a plane perpendicular to the bases of a double cone.

The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.

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