What is the quotient?

What Is The Quotient?

Answers

Answer 1

Answer:

(-7)³ or -7³

Step-by-step explanation:

Start with    (-7)²

                  ----------

                    (-7)^(-1)

Apply the rule that:

        x^a

     ----------- = x^(a-b)

        x^b

Then our:

                    (-7)²

                  ----------- = (-7)^(2 - [-1] )  = (-7)^(2+1) = (-7)³  

                    (-7)^(-1)

                                                                                                 

This answer could be left as is, or we could rewrite (-7)³ as

-7³, since (-1)³ = -1

                                                                                                   

Answer 2

Answer: FIRST OPTION

Step-by-step explanation:

According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.

Therefore, keeping the property above on mind, you have that the quotient is the shown below:

[tex]\frac{(-7)^2}{(-7)^{-1}}=(-7)^{(2-(-1))}=(-7)^{(2+1)}=(-7)^3=-343[/tex]


Related Questions

Please solve this quick 8n+7=31

Answers

Hello there!

To find the value of n, work to isolate it from all other terms in the equation.

8n+7=31 - Start by subtracting 7 from both sides. 8n + 7 - 7 = 31 - 7

8n = 24 Next, divide both sides by 8 to finish isolating n. 8n÷8 = 24÷8

n = 3

This is your final answer.

I hope this was helpful and have a great rest of your day!

:)

For this case we must solve the following equation of first degree:

[tex]8n + 7 = 31[/tex]

We subtract "7" on both sides of the equation:

[tex]8n + 7-7 = 31-7\\8n = 24[/tex]

We divide between "8" on both sides of the equation:

[tex]\frac {8n} {8} = \frac {24} {8}\\n = 3[/tex]

Thus, the value of the variable n is 3.

Answer:

[tex]n = 3[/tex]

Subtract 8 1/2 - 2 2/3 = ?

Answers

Answer: 2 2/3 or 2.6 repeating

Step-by-step explanation:

- Reduce the numbers With the greatest common divisor 2

- Calculate product

- Calculate the difference

- YOUR FINAL ANSWER

Hope I was able to satisfy your needs

First you make the fractions have a common denominator. In this case it would be 6.

Then you have 8 3/6 - 2 4/6.

Because the number you are subtracting is greater than what you are subtracting from, you can turn the fraction into an improper fraction.

8 3/6 = 7 9/6

9/6 - 4/6 = 5/6

Then subtract the whole numbers.

7-2 = 5

Answer: 5 5/6

Loren and Julie have different part-time jobs after school. They are both paid at a constant rate of dollars per hour. The tables bellow show Loren and Julie’s total income for work given amount of time.

How much money would Julie earn for working 16 hours?

Julie works 1/12 hours/dollars. Write one or two-sentence explanation of what this rate means use this rate to find how long it takes for Julie to earn $228

Answers

Julie would earn $12/h×16h=$192

This rate means that for each hour she works, she gets $12.

The general formula for calculating these types of problems is:

m = r × t,

where m marks the total amount of money, r marks the rate and t marks the time.

To find the time when

m = $228

r = $12/h,

t = m ÷ t = 228 ÷ 12 = 19 hours.

Julie's income for 16 hours is $192. Julie takes only 24 hours to earn $288. The rate is $12 for each hour.

What are ratio and proportion?

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given

Loren and Julie have different part-time jobs after school.

They are both paid at a constant rate of dollars per hour.

The income of Julie is $36 in 3 hours.

For 1 hour, Julie earns $12.

Thus the rate of Julie is $12 per hour.

For the 16 hours, Julie's income will be.

Julie's income for 16 hours = 12 x 16

Julie's income for 16 hours = $192

Julie's income for 16 hours is $192.

Julie takes time to earn $228 will be

[tex]\rm Time = \dfrac{288}{12}\\\\Time = 24[/tex]

Thus, Julie takes only 24 hours to earn $288.

More about the ratio and the proportion link is given below.

https://brainly.com/question/1025229

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Complete the inequality statement. 14 ft ____ 4 1/2 yd.

Answers

ok if i am right  their are 0.3333 yards in a foot so if their is 14 feet it would be 4.66667

so your answer would go to the 4 1/2

Answer:

14 ft  >  4 1/2 yd.

Step-by-step explanation:

1 yard = 3 ft

so

4 1/2 yard = 4.5 x 3 = 13.5 ft so it's less then 14 ft or 14 ft is greater than 13.5 ft

answer

14 ft  >  4 1/2 yd.

How do you calculate the area of a circle. Area of a circle is equal to the times

Answers

Answer:

Radius Squared

Step-by-step explanation:

Following answer is Pi

The area of a circle is π times the square of its radius.

What is a circle?

A circle is a locus of a point in a plane such that its distance from a fixed point always remains constant. This fixed point is called the centre of the circle while the distance between the centre and the moving point is called the radius of the circle.

The area of a circle is given by [tex]A=\pi r^{2}[/tex]

Where [tex]\pi[/tex] is an irrational number with a value of 3.14159...... and r is the radius of the circle.

So, the area of a circle is π times the square of its radius.

Hence, the area of a circle is π times the square of its radius.

To get more about circle visit:

https://brainly.com/question/24375372

The distance between points A and D is how many units ?

Answers

The distance is 6 units.

On the x axis, the distance between A and D is 2 -4 or -4 +2 = -6. Mind you, distance is never negative so always use the absolute value, which is 6.

Ans = 6 units

Happy to help. Marking me the brainpower would really be appreciated.

A town was considering a new tax to fund a recycling program residents were randomly surveyed about whether they supported the tax the results are shown below in the conditional relative frequency table by column.

Answers

C) A resident in the group who supports the tax is likely to be male

Answer:

The correct choice is:

 A resident in the group who supports the tax is likely to be male.

Step-by-step explanation:

The table is given by:

                   Support              Against           Total

Female            20%                    74%              54%

Male                 80%                    27%              44%

Total                 100%                  100%             100%

Based on the table we observe that the of the people who supported the tax most of them are males.

Since the percent of males who supported tax are 80% which is more than the females who supported tax i.e. 20%.

Hence, the answer is: last option.

Define a variable and write an expression for the phrase.

6 minus a number


6n


6/n

n/6



6 – n

Answers

Answer:

6-n

Step-by-step explanation:

it is subtracting a number from 6

I hope this helps!

6-n because n is equivalent to a number

Find the area of a parallelogram with base (b) and height (h)

B= 74 cm
H=14.8 cm

A) 88.8 cm2
B)177.6 cm2
C)1,095.2 cm2
D)2,242.6 cm2


Thanks


Answers

Answer is C) 1,095.2 cm2
Formula for area for parallelogram is = b.h

What is the distance from (-5,1) to (3,0)
Sqrt63, sqrt65 sqry67 sqrt69?

Answers

ANSWER

[tex] \sqrt{65} [/tex]

EXPLANATION

We were given the points,

(-5,1) and (3,0).

We use the distance formula to obtain;

[tex]d = \sqrt{ {(x_2-x_1)}^{2} + {(y_2-y_1)}^{2} } [/tex]

Let [tex](x_1,y_1)=(-5,1)[/tex]

and [tex](x_2,y_2)=(3,0)[/tex]


We substitute these values to get,

[tex]d = \sqrt{ {(3 - - 5)}^{2} + {(0 - 1)}^{2} } [/tex]

Simplify

[tex]d = \sqrt{ {(8)}^{2} + {( - 1)}^{2} } [/tex]

[tex]d = \sqrt{ 64 + 1} [/tex]

[tex]d = \sqrt{65} [/tex]

slope intercept equation for (0,-4) and (4,1)

Answers

Answer:

y    = (5/4)x - 4

Step-by-step explanation:

As we move from (0, -4) to (4, 1), x increases by 4 and y increases by 5.

Thus, the slope of the line segment connecting these two points is

m = rise / run = 5/4.

Subbing these knowns into the point-slope formula for the equation of a straight line, we get:

y - 1 = (5/4)(x - 4), or

y     = (5/4)x - 5 + 1, or

y    = (5/4)x - 4

Let's check this out.  Determine whether or not (0, -4) satisfies the equation:

-4 = (5/4)(0) - 4

Yes, this is true; the equation is correct.

A sticker is in the shape of a trapezoid the height is 3 centimeters and the base are 2.5 centimeters and 5.5 centimeters what is the area of the sticker

Answers

I think it is 137.5 cm

A jogger runs 4 miles on Monday, 5 miles on Tuesday, 3 miles on Wednesday, and 5 miles on Thursday. He doesn’t run on Friday. How many miles did he run in all

Answers

[tex]\huge\boxed{\text{$17$ miles}}[/tex]

This is a fairly simple problem. Just add all of the miles together:

[tex]\begin{array}{c}4+5+3+5\\9+8\\\boxed{17}\end{array}[/tex]

Answer:

17 miles in all.

Step-by-step explanation:

4+5+3+5=17

plz help!! 2 questions 15 points

Answers

Question 1: Both are solutions.

Question 2: (4, 0)

Here ya go. This highlights the solution for you along with the work. Let me know if you have questions.

What is the difference between 30.1 and 16.35
Plz help :D

Answers

Answer:                      

                           

Step-by-step explanation:                      

To find the difference between the two given numbers, we will subtract the smaller number from the greater number.                

[tex]30.1-16.35[/tex] = 13.75

So, the difference is 13.75                                  

PLS HELP ASAP. IM TIMED​

Answers

Answer:

Choice 3

Step-by-step explanation:

Using V = πr^2 h

Choice 1. π2^2x6 = 75.4

Choice 2. π2.5^2x5 = 98.17

Choice 3. π3^2x4 = 113.1

Choice 4.  π3.2^2x3 = 96.51

An 8-car Ferris wheel is shaped like a regular octagon. Does the Ferris wheel have rotational symmetry?

Answers

Answer:

yes

Step-by-step explanation:

plz give me brainliestttt

If f(x)=2x to the second power what is f(x) when x=3

Answers

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

Just substitute 3 in:

2(3)^2 = 18

It would be 18

Hope This Helps You!

Good Luck (:

Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ

Answer:

36

Step-by-step explanation:

2*3

6^2

6*6 = 36

I need help, please

Answers

Answer:

Top- 23 square cm

Bottom- 172.5 square m

Step-by-step explanation:

Let me know if you need an explanation

H/6 -1= -3 solve for h

Answers

Answer:

h = - 12

Step-by-step explanation:

Isolate the term in h by adding 1 to both sides of the equation

[tex]\frac{h}{6}[/tex] = - 2 ( multiply both sides by 6 )

h = - 12

the price c of a used car plus 8% sales tax​

Answers

Answer:

1.08c or c + 0.08c

Step-by-step explanation:

The price of any used car plus 8% tax can be found by writing an expression. You can write an expression using a variable c where c is the price of the car. You will pay the 100% the whole price of the car and add on 8% of the price as tax. This means you pay 100 + 8 = 108% of the price c. This is 1.08c. Or you can also write it as c + 0.08c.

Ella completed the division problem below.

Answers

Answer:

B. She multiplied the dividend by 100 instead of 10.

Step-by-step explanation:

Ella had to divide[tex]1.848[/tex] by [tex]0.6[/tex]. To make it easier to divide, she thought of multiplying both the dividend and the divisor by 10.

Ella multiplied the divisor by 10 but mistakenly she multiplied the dividend by 100 instead of 10.

So her division problem changed totally.

Therefore, the correct answer option is B. She multiplied the dividend by 100 instead of 10.

Simplify the expression given below x^2+x-2/x^3-x^2+2x-2

Answers

Answer:

The simplest form is [tex]\frac{x+2}{x^2+2}[/tex]

Explanation:

The given is: [tex]\frac{x^2 + x-2}{x^3-x^2+2x+2}[/tex]

1- For the numerator:

[tex]x^2+x-2[/tex] can be factorized to give (x-1)(x+2)

2- For the denominator:

[tex]x^3-x^2+2x-2[/tex]

We will factor this using grouping

Take [tex]x^2[/tex] as a common factor from the first two terms and [tex]2[/tex] as a common factor from the last two terms

This will give us:

[tex]x^3-x^2+2x-2[/tex] [tex]=x^2(x-1) + 2(x-1)[/tex]

Now, take (x-1) as a common factor:

[tex]x^3-x^2+2x-2[/tex] = (x-1)(x²+2)

3- Finally, getting the simplest form:

[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}=\frac{(x-1)(x+2)}{(x-1)(x^2+2)}=\frac{x+2}{x^2+2}[/tex]

Hope this helps :)

Answer:

The solution is [tex]\frac{x+2}{x^2+2}[/tex]

Step-by-step explanation:

See the image attached

What is the coefficient of the fifth term in (a+b)^9

Answers

Answer:

If you expand this using pascals triangle you will see that the fifth term is 126a^5b^4

the coefficient is the number 126

Answer:

The coefficient of the fifth term is 126.

Step-by-step explanation:

The question implies that after the expansion of [tex](a+b)^{9}[/tex], what would be the coefficient of the fifth term. This long expansion can be easily done by the application of the Pascal principle of expansion.

Thus,

[tex](a+b)^{9}[/tex] = [tex]a^{9}[/tex] + [tex]9a^{8}b[/tex] + [tex]36a^{7} b^{2}[/tex] + [tex]84a^{6}b^{3}[/tex] + [tex]126a^{5}b^{4}[/tex] + [tex]126a^{4} b^{5}[/tex] + [tex]84a^{3} b^{6}[/tex] + [tex]36a^{2} b^{7}[/tex] + [tex]9ab^{8}[/tex] + [tex]b^{9}[/tex]

So, from this expansion, the fifth term is [tex]126a^{5}b^{4}[/tex]. And its coefficient is 126.

If the ramp will be 3 feet above the ground and have a 4 foot Base , How long will the ramp be?

Answers

Answer:

5 feet long

Step-by-step explanation:

According to the Pythagorean Theorem, a^2 + b^2 = c^2  where "a" and "b" are the two legs of the right triangle and "c" is the hypotenuse.

We are trying to find the part that is at an angle, which is "c". So if we know "a" is "3 and "b" is 4, we can plug the values into the equation.

3^2 + 4^2 = c^2       plug in the values

9  +  16 = c^2           simply the two squared values

25 = c^2                   add the two values

5 = c                          take the square root of both sides

c = 5                          switch the values

The vertex form of the equation of
a parabola is y = 2(x +4^2 - 7.What is the standard form of the equation?

Answers

Answer:

The standard form of the equation is y = 2x^2 + 16x + 25

Step-by-step explanation:

To find the standard form, first square the parenthesis.

y = 2(x + 4)^2 - 7

y = 2(x^2 + -8x + 16) - 7

Now distribute the 2

y = 2(x^2 + 8x + 16) - 7

y = 2x^2 + 16x + 32 - 7

Now combine like terms

y = 2x^2 + 16x + 32 - 7

y = 2x^2 + 16x + 25

Answer:

y = 2x^2 + 16x + 25

A number of students go on a coach trip. The cost of hiring the coach is £180. The school pays 80% of this cost. The students pay the rest of the cost. Each students pays £1.50. Work out the number of students on the coach trip.

Answers

Answer:

24

Step-by-step explanation:

the school will pay: 180 × (80÷100)

                                  = 144

the remaining amount is: 180 - 144

                                           = 36

if each student is paying 1.50 then no. of students is equal to: 36÷1.5

                                                                                                           = 24

Evaluate 7x - (2x)2 + x 3 for x = -2.

Answers

[tex]7x - (2x)2 + {x}^{3} [/tex]

[tex]7x - 4x + {x}^{3} [/tex]

[tex]3x + {x}^{3} [/tex]

[tex]3( - 2) + { (- 2)}^{3} [/tex]

[tex] - 6 + - 8[/tex]

[tex] - 14[/tex]

Select the best possible first step to solving the system by first eliminating the y variable. 4x − 5y = 4 3x 2y = −20 (1 point) Multiply the first equation by −2, and multiply the second equation by 5. Multiply the first equation by 2, and multiply the second equation by −5. Multiply the first equation by 2, and multiply the second equation by 5. None of the above

Answers

Answer:

C) Multiply the first equation by 2, and multiply the second equation by 5.

Step-by-step explanation:

Given equations are :

4x − 5y = 4

and

3x+2y = −20

Now we need to select the best possible first step to solving the system by first eliminating the y variable. Where given choices of the possible steps are:

A) Multiply the first equation by −2, and multiply the second equation by 5.

B) Multiply the first equation by 2, and multiply the second equation by −5.

C) Multiply the first equation by 2, and multiply the second equation by 5.

D) None of the above

Since we need to eliminate y, then we must make coefficients of y equal in both equations. Easiest way is to multiply coefficient of first equation into 2nd equation and multiply coefficient of y from 2nd equation into first equation. Make sure that their sign is oppsite.

Hence correct choice is C)Multiply the first equation by 2, and multiply the second equation by 5.

Which expression is equivalent to (–3y – x) – (5y – 8x)?

Answers

I hope this helps.

-8y+7x

Answer:

[tex]7x-8y[/tex]

Step-by-step explanation:

We have been given an expression [tex](-3y-x)-(5y-8x)[/tex]. We are supposed to simplify our given expression.

Using distributive property [tex]a(b+c)=ab+ac[/tex], we will get:

[tex]-3y-x-1*5y-1*-8x[/tex]

[tex]-3y-x-5y+8x[/tex]

Now, let us combine like terms.

[tex]-x+8x-5y-3y[/tex]

[tex]7x-8y[/tex]

Therefore, the simplified form of our given expression would be [tex]7x-8y[/tex].

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