Match the expression with it's simplified version:

Match The Expression With It's Simplified Version:

Answers

Answer 1

Answer:

they are already matched

Step-by-step explanation:

Answer 2

Answer: (x^7)/(x^4) = x^3, x^(-3) = 1/(x^3), x^0 = 1, (x^4)/(x^3) = x

Step-by-step explanation:

Dividing two exponents with the same base can be simplified by subtracting the exponents. Thus (x^7)/(x^4) is the same as x^(7-4), or x^3.

A negative exponent is the same as the reciprocal of the positive exponent. x^-3 is the same as 1/(x^3).

Anything with an exponent of 0 is equal to 1.

Again, when dividing two exponents, if they have the same base, you can just subtract the exponents. (x^4)/(x^3) = x^(4-3) = x^1 = x.


Related Questions

Find the unit rate of sugar to baking powder in the recipe above.

Cookie Recipe: 3 cups flour, 2/3 cup sugar, 1/2 cup butter, 1/4 cup baking powder

Answers

Answer:

2/3 to 1/4, two thirds cup to a quarter cup

Step-by-step explanation:

Compute Δy using the function y= 5x^3 as x goes from -2 to 1.
Δy =?

Answers

The value of Δy using the function y= 5x^3 as x goes from -2 to 1 is; Δy = 45

The question requests that Δy be computed according to the function, y = 5x³ as x goes -2 to 1.

Δy = y2 - y1

where:

y1 = 5(-2)³

y1 = -40

and

y2 = 5(1)³

y2 = 5

Therefore,

Δy = y2 - y1

Δy = 5 - (-40)

Δy = 45.

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https://brainly.com/question/12559989

Answer this math problem

Answers

[tex]\\ \sf{:}\dashrightarrow \dfrac{w^2}{25}+45w+155[/tex]

w=1

[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+45(52)+155[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2340+155[/tex]

[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2495[/tex]

[tex]\\ \sf{:}\dashrightarrow 2+2495=2498[/tex]

solve the system by elimination

x - y = -1
4x + 6y = -74

a) no solution

b) infinite number of solutions

Answers

9514 1404 393

Answer:

  one solution: (x, y) = (-8, -7)

Step-by-step explanation:

We can add 6 times the first equation to the second equation in order to eliminate y.

  6(x -y) +(4x +6y) = 6(-1) +(-74)

  10x = -80

  x = -8

  y = x+1 = -7 . . . . . solve the first equation for y; substitute x

The one solution is (x, y) = (-8, -7).

Michael can clean the store in 6 hours. Together him and Lebron can clean the same store in 2 hours. How long would it take for Lebron to clean the store alone?

Answers

Answer:

4 hours.

Step-by-step explanation:

The difference between 6 and 2 is 4.

(Pre calc) I only need to do part A i would love to have some help I will make it 120 Points

Answers

Answer:

The domain should be X

Step-by-step explanation:

I'm a bit unsure but I think it's correct

Question 3 options: A school is preparing a trip for 400 students. The company who is providing the transportation has 10 buses of 50 seats each and 8 buses of 40 seats, but only has 9 drivers available. The rental cost for a large bus is $800 and $600 for the small bus. Calculate how many buses of each type should be used for the trip for the least possible cost. Let L

Answers

Answer:

8

Step-by-step explanation:

Graphing linear equations and inequalities 3Y minus 2X equals nine

Answers

Answer:

The answer in the pictures

10
When 12x4 - 3x3 + 6x2 is divided by 3x2, the quotient is -
F
4x2 – 3x3 + 6x2
ninov niola
12x4 - 3x3 + 2
-
H
9x2 - x + 2
-
J
4x2 - x + 2

Answers

Answer:

plz explain simplier

Step-by-step explanation:

Select the situation that have a unit rate equivalent to 3 units to 1 unit!!??

Answers

Answer: i believe it can be  c ( the water house streams 6 gallons of water in 2 minutes.

Step-by-step explanation:

i dont have explanation just the answer. and i hope that the right answer.

Answer:

C., E.

Step-by-step explanation:

A. 3/30 = 1/10   No

B. 3/6 = 1/2   No

C. 6/2 = 3/1   Yes

D. 3/3 = 1/1   No

E. 15/5 = 3/1   Yes

Answer: C., E.

3x-2y=4
2x+3y=7

X=?
Y=?

Plz step by step

Answers

Answer:

x= 2

y= -1

Step-by-step explanation:

Simultanous equation(elimination method)

STEP 1: multiply the number near x with the opposite equation.

in this case in equation 1, three is near x so u multiply it with the second equation.

2(3x-2y=4)

3(2x+3y=7)

you get 6x-4y=8

6x+9y=21

STEP 2: Change the sign ONLY IN SECOND equation to its opposite sign

6x-4y=8 <-------- 1st equation

6x+9y=21 <-------- 2nd equation

SO WE CHANGE THE SIGN IN SECOND EQUATION TO: -6x-9y= -21

STEP 3: Now do the elimination part and calculation

+6x-4y=8

-6x-9y= -21

___________

0x-13y= 13

NOTE: X IS ALWAYS CANCELLED IF ITS NOT THERE'S PROBABLY A MISTAKE

STEP 4: Solve for y

now that x is cancelled we have to solve for y.. to do this take the eliminated equation in step 3 and solve for y

-13y= 13

y= 13/-13

y= -1

STEP 5: We have officially solved for y.. now we need to bother about x.. to solve for x take the first original equation IN THE QUESTION and substitiute( replace) y value in equation

ORIGINAL EQUATION: 3x-2y=4

3x-2(-1)=4

3x-2=4

x= 6/3

x= 2

NOTE: YOU CAN ALSO TAKE THE SECOND EQUATION BUT ITS EASIER WHEN YOU TAKE THE FIRST ONE. EITHER WAY YOU MUST GET THE SAME ANSWER

Answer:

x=2, y=1

Step-by-step explanation:

3x-2y=4

2(3x-2y)=2(4)

6x-4y=8

2x+3y=7

3(2x+3y)=3(7)

6x+9y=21

6x+9y-(6x-4y)=21-8

6x+9y-6x+4y=13

13y=13

y=13÷13

=1

3x-2y=4

3x-2(1)=4

3x=4+2

=6

x=6÷3

=2

Hence, x=2 and y=1.

If Marie were to paint her living room alone, it would take 7 hours. Her sister Barbara could do the job in 8 hours. How many hours would it take them working together? Express your answer as a fraction reduced to lowest terms, if needed.

Answers

Answer:

[tex]\sf\longmapsto \: 3.73 hours [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \frac{1}{7 } + \frac{1}{8} [/tex]

[tex]\sf\longmapsto \: \frac{15}{56} [/tex]

Now, Reciprocal–

[tex]\sf\longmapsto \: \frac{56}{15} [/tex]

[tex]\sf\longmapsto \: 3.73 hours [/tex]

The time taken together Marie and his sister to paint the living room are 3.73 hours or 3 hours and 43.8 minutes.

What are work and time?

Work is the completion of any task for example if you have done your homework in 5 hours then you have done 5 hours.

Another illustration of labor is when you finish your meal in an hour, which means that you finished your work in an hour.

Given that,

Marie take 7 hours to paint

1 work → 7 hour

1 hour → (1/7) work

Barbara takes 8 hour

1 work → 8 hour

1 hour → (1/8) work

Let's suppose together they take x hour

1 work → x hour

1 hour → (1/x) work

Now,

1-hour work together = 1-hour work of Marie + 1-hour work of Barbara

(1/x) = (1/7) + (1/8)

(1/x) = (7 + 8)/56

x = 56/15

x = 3.73

x = 3 hour and 0.73 × 60 = 43.8 minutes.

Hence "The time taken together Marie and his sister to paint the living room is 3.73 hours or 3 hours and 43.8 minutes".

For more information about the work and time relation,

brainly.com/question/6912604

#SPJ2

ALGEBRA question 100 POINTS. Easy

Answers

Answer: (-4x)^2 (6x^5) » (-4)^2 (x^2) (6x^5) » (16)(x^2)(6x^5) » (96)[x^(2+5)] » 96x^7

Step-by-step explanation:

Answer: (-4x)^2 (6x^5) » (-4)^2 (x^2) (6x^5) » (16)(x^2)(6x^5) » (96)[x^(2+5)] » 96x^7

Step-by-step explanation: I am sure of my answer

A company makes pens. They sell each pen for $9. Their revenue is represented by R = 9 x. The cost to make the pens is $3 each with a one time start up cost of $6500. Their cost is represented by C = 3 x + 6500. a) Find the profit, P, (P = R - C) when the company sells 1000 pens. 15500 0-500 O 9000 0-3500 0-9000​

Answers

Answer:

-$500

Step-by-step explanation:

C = 3(1000) + 6500

C = 3000 + 6500

C = 9500

R = 9(1000)

R = 9000

P = 9000 - 9500

P = -500

Jeffrey makes 3% commission on
his sales. If his sales total $1800
this week, how much money will he
make?

Answers

Answer:

He will make $54

A fair die is rolled 11 times. What is the probability of rolling a 4 on the die 4 times? Express your answer as a decimal rounded to 4 decimal places after the decimal point.

Answers

i think it’s 4/11

check out my other answers and mark me brainliest please !!!!

The probability of rolling a 4 on the die 4 times out of the total 11 times that it was rolled is; 0.0007716

How to solve probability?

We are given;

Number of times dice is rolled = 11

Now, on a die, there are 6 numbers and as such probability of getting a 4 is; P(getting a 4) = 1/6

Thus;

probability of rolling a 4 on the die 4 times = (1/6)⁴

⇒ 0.0007716

Read more about Probability at; https://brainly.com/question/251701

Can someone help me please

Answers

Answer:

a.(x)=7

b.(x)=14

Step-by-step explanation:

plz mark me as brainliest

Answer:

For A x equals 7

For B x equals 14

Explanation:

Simply cross multiply

A. 21×2=42÷6=7

Or find the relationship

B. 150÷6=25

84÷6=14

Hope this helps, mark BRAINLIEST please...

What is the area of this trapezoid?



Enter your answer in the box.

= cm²

Answers

A = 440

answer...

A

=

a

+

b

2

h

=

25

+

19

2

·

20

=

440

??
What is the asnwer plsssss

Answers

The answer is 7/2 pi

The arc length is 7/2 pi.

Which problem could the bar diagram represent

Answers

ANSWER: is there a picture for the question?

Step-by-step explanation:

OMG I NEED HELP WITH THIS ANSWER RN

The temperature in Little Rock, Arkansas, is 66°F, and the temperature in Lincoln, Nebraska, is 82°F. Which of the following is true?

A.
Little Rock's temperature > Lincoln's temperature

B.
Little Rock's temperature = Lincoln's temperature

C.
Little Rock's temperature < Lincoln's temperature

Answers

Answer:

C) Little Rock’s temperature < Lincoln’s temperature

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

The answer would be C.

Little Rock's temperature is less than Lincoln's temperature.

66 < 82

fourth degree and a single zero of -3

Answers

The degree of a polynomial is the highest power of the polynomial.

The polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]

The degree is given as:

[tex]\mathbf{n = 4}[/tex]

The zero is given as:

[tex]\mathbf{x = -3}[/tex]

Add 3 to both sides

[tex]\mathbf{x + 3= 0}[/tex]

From the question, we understand that the polynomial has a single zero.

So, the polynomial is:

[tex]\mathbf{P(x) = (x + 3)^n}[/tex]

Substitute 4 for n

[tex]\mathbf{P(x) = (x + 3)^4}[/tex]

Hence, the polynomial is [tex]\mathbf{P(x) = (x + 3)^4}[/tex]

Read more about polynomials at:

https://brainly.com/question/11536910

Nick’s house is between his school and the library, which are one mile apart on the same street. A mile is 5280 feet. After school, Nick walks 3195 feet to his house. How many more feet he need to walk to get to the library?

Answers

Nick's needs to walk 2,085 feet more to get to the library.

Given:

1 mile = 5,280 feet

Distance from Nick's school to his house = 3195 feet

Recall,

Nick’s house is between his school and the library, which is one mile apart

So,

Distance to work to the library from Nick's house = 1 mile - Distance from Nick's school to his house

= 5,280 feet - 3,195 feet

= 2,085 feet

Therefore,

Nick's needs to walk 2,085 feet more to get to the library.

Read more:

https://brainly.com/question/20365394

The speed of sound in air is 340 m/s. How far , in meters, would a sound of wave travel on 7 seconds?​

Answers

Answer:

2 380m

Step-by-step explanation:

very simple just multiply 7×340

What is 8c + c = , is it 8cc, 9c, 8c2, 8c

Answers

Answer:

9c

Step-by-step explanation:

if you take 8c and add another c, it equals 9c

Answer:

9C

Step-by-step explanation:

QUIZ:
Add Signed Decimals
Add.
-2.34 + (-1.052)
Enter your answer in the box.

Answers

When I solved this I got -3.392

Answer:

-3.392

Step-by-step explanation:

Math-way

Match the following items.


Determine the functions if θ is a first-quadrant angle, and sin = .


1. cosθ √(15)/5

2. tanθ √(10)/2

3. cscθ √(15)/3

4. secθ √6/3

5. cotθ √6/2

Answers

The functions are illustrations of trigonometry ratios

[tex]\mathbf{(a)\ cos\theta = \frac{\sqrt{15}}{5}}[/tex]

The sine of an angle is calculated as follows

[tex]\mathbf{sin\theta = \sqrt{1 - cos^2\theta}}[/tex]

So, we have:

[tex]\mathbf{sin\theta = \sqrt{1 - (\sqrt{15}/5)}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{1 - (15/25)}}[/tex]

Take LCM

[tex]\mathbf{sin\theta = \sqrt{\frac{10}{25}}}[/tex]

[tex]\mathbf{sin\theta = \frac{\sqrt{10}}{5}}[/tex]

[tex]\mathbf{(b)\ tan\theta = \frac{\sqrt{10}}{2}}[/tex]

The tangent of an angle is:

[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]

So, we have:

[tex]\mathbf{Hypotenuse^2 = (\sqrt{10})^2 + 2^2}[/tex]

[tex]\mathbf{Hypotenuse^2 = 10 + 4}[/tex]

[tex]\mathbf{Hypotenuse^2 = 14}[/tex]

Take square roots

[tex]\mathbf{Hypotenuse = \sqrt{14}}[/tex]

So, the sine of the angle is:

[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{\sqrt{14}}}[/tex]

Rationalize

[tex]\mathbf{\ sin\theta = \frac{\sqrt{140}}{14}}[/tex]

[tex]\mathbf{(c)\ csc\theta = \frac{\sqrt{15}}{3}}[/tex]

The sine of the angles is:

[tex]\mathbf{sin \theta = \frac{1}{csc\theta}}[/tex]

So, we have:

[tex]\mathbf{sin \theta = \frac{1}{\sqrt{15}/3}}[/tex]

[tex]\mathbf{sin \theta = \frac{3}{\sqrt{15}}}[/tex]

Rationalize

[tex]\mathbf{sin \theta = \frac{3\sqrt{15}}{15}}[/tex]

[tex]\mathbf{sin \theta = \frac{\sqrt{15}}{5}}[/tex]

[tex]\mathbf{(d)\ sec\theta =\frac{\sqrt 6}{3}}}[/tex]

The sine of an angle is calculated as follows

[tex]\mathbf{sin\theta = \sqrt{1 - (1/sec\theta)^2}}[/tex]

So, we have:

[tex]\mathbf{sin\theta = \sqrt{1 - (3/\sqrt 6)^2}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{(1 - 9/6)}}[/tex]

[tex]\mathbf{sin\theta = \sqrt{( - 3/6)}}[/tex]

The sine of the angle does not have a real value

[tex]\mathbf{(e)\ cot\theta = \frac{\sqrt 6}{2}}[/tex]

Start by calculating the tangent of the angle

[tex]\mathbf{tan\theta = \frac{1}{cot\theta}}[/tex]

So, we have:

[tex]\mathbf{tan\theta = \frac{1}{\sqrt 6/2}}[/tex]

[tex]\mathbf{tan\theta = \frac{2}{\sqrt 6}}[/tex]

Rationalize

[tex]\mathbf{tan\theta = \frac{2\sqrt 6}{6}}[/tex]

[tex]\mathbf{tan\theta = \frac{\sqrt 6}{3}}[/tex]

The tangent of an angle is:

[tex]\mathbf{\ tan\theta = \frac{Opposite}{Adjacent}}[/tex]

Using Pythagoras theorem, we have:

[tex]\mathbf{Hypotenuse^2 = Opposite^2 + Adjacent^2}[/tex]

So, we have:

[tex]\mathbf{Hypotenuse^2 = (\sqrt{6})^2 + 3^2}[/tex]

[tex]\mathbf{Hypotenuse^2 = 6 + 9}[/tex]

[tex]\mathbf{Hypotenuse^2 = 15}[/tex]

Take square roots

[tex]\mathbf{Hypotenuse = \sqrt{15}}[/tex]

So, the sine of the angle is:

[tex]\mathbf{\ sin\theta = \frac{Opposite}{Hypotenuse}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{6}}{\sqrt{15}}}[/tex]

Rationalize

[tex]\mathbf{\ sin\theta = \frac{\sqrt{90}}{15}}[/tex]

Rewrite as:

[tex]\mathbf{\ sin\theta = \frac{3\sqrt{10}}{15}}[/tex]

[tex]\mathbf{\ sin\theta = \frac{\sqrt{10}}{5}}[/tex]

Read more about trigonometry ratios at:

https://brainly.com/question/24888715

25×2- (42÷6) + 18 can someone help me?

Answers

Answer:

The answer is 61

Answer:

61

Step-by-step explanation:

11 over 8 as decimal

Answers

Answer:

[tex] \frac{11}{8} = 1.375[/tex]

At a diving competition, Allison scored 78.5 on her first dive. Hannah's score on her first dive was 74.65. How many more points did Allison score on her first dive than Hannah? SHOW YOUR WORK.​

Answers

If Allison scored 78.5 and Hannah scored 74.65 you’ll subtract 74.65 from 78.5 and get 3.85. That’s how many points more Allison scored
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