Simplify the expressions
(24m^-2n)(1/4mn)

Answers

Answer 1

Answer:

6n^2/m

Step-by-step explanation:

Use the rules of exponents to simplify the expression.

24^1m^ −2 n^1 ×( 4/1 )^1m^1n^1

Use the Commutative Property of Multiplication.

24^1 ×( 4/1 ) ^1 m −2m ^1n ^1n^1

To multiply powers of the same base, add their exponents.

24^1 ×(4/1 )^1m^−2+1 n^1+1

Add the exponents −2 and 1.

24^1×(4/1)^1 × ( m^1)n^1+1

Add the exponents 1 and 1.

24^1 ×(4/1)^1 × (m/1)n^2

Multiply 24 times 4/1.

6×(m^1)n^2

Answer.

6n^2/m


Related Questions

PLEASE HELP!! IT'S DUE TONIGHT!

Answers

Answer:

Step-by-step explanation:

All triangles without exception, have 3 angles that add to 180o.

You know two of them. The statement above will help you get the third.

35 + 33 + x = 180                Combine the left

68 + x = 180                        Subtract 68 from both sides.

x = 180 - 68

x = 112

Answer: The value of x is 112

Step-by-step explanation:

add the two values given: 35+33= 68

then subtract 68 from 180 (sum of angles is 180°) = 112

112+35+33= 180

use rhombus DEFG if GE=42 and DH=16 find GF

Answers

The value of GF in the rhombus is 26.4

Properties of a rhombus:All the sides are equalOpposite angles are equaladjacent angles are supplementaryDiagonals are perpendicular bisector of each other

Therefore,

DH = HF = 16

GH = HE = 21

Using Pythagoras theorem we can find GF as follows:

GF = √21² + 16²

GF = √441 + 256

GF = √697

GF = 26.4007575649

GF = 26.4

learn more on rhombus here: https://brainly.com/question/26665674

help!!! meee ASAPPP 18 + brainlest

Answers

Answer:

Angle CFD = 30°

Step-by-step explanation:

HOPE THIS HELP YOU,FOR ANY QUESTION PLEASE ASK ME

Consider the function. Which conclusions can be drawn about f–1(x)? Select two options. F–1(x) has a slope of. F–1(x) has a restricted domain. F–1(x) has a y-intercept of (0, –36). F–1(x) has an x-intercept of (–36, 0). F–1(x) has a range of all real numbers.

Answers

The required function is [tex]y = -\frac{3}{2} x -36[/tex] having domain and range as R and y-intercept is -36.

Given function

y=f(x) = [tex]-\frac{2}{3} x -24[/tex]

What is an inverse function?

An inverse function is a function that returns the original value for which a function has given the output. If f(x) is a function that gives output y, then the inverse function of y, i.e. f-1(y) will return the value x.

In order to get inverse function [tex]f^-1x[/tex] let us arrange the given function

[tex]y+24 = -\frac{2}{3} x[/tex]

[tex]x = -\frac{3}{2} y-36[/tex]

Now, replace x with y and vice versa.

[tex]y = -\frac{3}{2} x -36[/tex]........(1)

or, [tex]f^-1x = -\frac{3}{2} x -36[/tex]

(1) will be the inverse function of the given function.

For x-intercept put y = 0 and for y-intercept put x=0 in eq(1)

x-intercept = -24

y-intercept = -36

The domain and range of f⁻¹x = set of all real numbers since f⁻¹x is a straight line equation, domain, and range of which is set of all real numbers.

Therefore, the required function is [tex]y = -\frac{3}{2} x -36[/tex] having domain and range as R and y-intercept is -36.

To get more about inverse function visit:

https://brainly.com/question/16975845

Answer:

d and e

Step-by-step explanation:

did the test

Will give Brainliest
Beth is working in the concession stand during a football game. Each hot dog sells for $6 and a soda is $4. At the end of the first half, Elizabeth sold 46 items, and made $118. How many hot dogs and sodas did she sell?

Write your answer in a complete sentence.

Use systems of equations to find your answer.

Both equations are correct - 4 points

Math to get answer is all shown and is correct - 4 points

Sentence answer - 2 points

Answers

Answer:

Straightforward: 70 + 48 or 72 + 46

With other ways: below

Make a ratio and increase.

6:4

Find the least common multiples.

72:48

Next, take these 2 out of ratio form and add them together.

72

+48

120

Since the closest we get is 120...

We must change the LCM'S to get the true number. Either way, it will work if you reduce 48 by 2, or 72 by 2. Same answer.

[tex]120-2=118dollars\\72 - 2\\48 - 2[/tex]

Therefore,

Our problem answer can be seen as the original ratio, but modified, 72:48 or simply 70 + 48. For the ratio to be correct, you would have to factorize the least common multiples and re-add. I would not recommend this.

Peter can mow his lawn in 6 minutes. Peter's son can mow it in 8 minutes. How long will it take them to do it together?

Answers

Answer:

3 minutes 26 seconds

Step-by-step explanation:

rate x time in Distance problems, and W = rate x time in work problems. The Work is generally 1, the whole job.

For Peter the formula is 1 (lawn mowed) = 1/6 lawn per minute x 6 minutes.

For the son the formula is 1 = 1/8 * 8.

Add their rates together, 1/8 + 1/6 = 3/24 + 4/24 = 7/24.

The equation for their rate working together is 1 = 7/24 * t

Divide both sides by 7/24 to find t. t = 1 / 7/24 = 1 * 24/7 = 24/7 = 3 and 3/7 minutes = approx. 3 minutes 26 seconds.

6 - 6,12,18,24,30,36,42,48,54,60
8 - 8,16,24,32,40,48,56,64,72,80
Answer should be 24 minutes.

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The expression above can also be written in the form Val
For this expression, a
and c

Answers

im sorry for this but thank you very mu the answer is b

[tex]\\ \rm\Rrightarrow 7^{\frac{9}{4}}[/tex]

[tex]\\ \rm\Rrightarrow 7^{9\times \frac{1}{4}}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[4]{7^9}[/tex]

Done!

Footware manufacturing is projected to decrease output by 8. 4% from 2006 to 2016. If footware manufacturing had 1. 8 billion dollars of output in 2006, approximately how much output is expected in 2016? a. $1. 95 billion b. $2. 64 billion c. $1. 55 billion d. $1. 65 billion Please select the best answer from the choices provided A B C D.

Answers

It is aaaaaaaaaaaaaaa or bbbbb or ccccc or ddddddddddd

What’s the midpoint of a line segment joining the points (5,-4) and(-13,12)?

Answers

Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:

((x1 + x2)/2 , (y1 + y2)/2)

((5 + -13) / 2 , (-4 + 12) / 2)

( -8 / 2 , 8 / 2)

(-4 , 4)

If f(x) = x/2 -3 and g(x) = 4x² + x - 4, find (f+ g)(x).
O A. 4x2 + 5x-1
-X
3
O B. 4x2 + x-1
O c. 6x²_7
O. ?
D. 42 + 3x - 7

Answers

Answer:

correct answer is : D. 42 + 3x - 7

3. Megan is having a meal with her friends.
She is going to choose one starter, one main and one dessert.
This is the menu.
Starter Main Dessert
Soup
£2.50 Chicken
£6,25 Trifle
£3.50
Prawns
£4.25 Beef
£8.00 Brownie
£4.00
Melon
£3.50 Pork
£7.50 Eton Mess £4.50
Megan has £15
List all the possible combinations that Megan can afford.

Answers

SCT,SCB,SCE,SBT, SBBR, SBE,SPT,SPB,SPE

PCT,PCB,PCE,PBT,PBBR, PBE, PPO,T,PPOB,PPOE

MCT,MCB,MCE,MBT,MBBR,MBE,MPT,MPB,MPE

THIS is in abrieviations.

substitute this equation
-1x-3y=4
2x=16

Answers

Answer:

x= 8 y= -4

Step-by-step explanation:2x=16 divide 2 on both, x=8, plug in 8 for x, -1x8-3y=4 will become = -8-3y=4 add 8 on both sides and divide by -3 the answer will be -4

Answer:

Step-by-step explanation:-

-1x - 3y = 4 (eqn 1)

2x = 16 (eqn 2)

from eqn 2

2x = 16

x = 16/2

x = 8

Substitute x = 8 into eqn 1

-1(8) - 3y = 4

-8 - 3y = 4

-3y = 4 + 8

-3y = 12

y = 12/-3

y = -4

therefore, x = 8 and  y = -4

the product of 982.311 and 2.43

Answers

2387.01573
is the anwser to 982.311 x 2.34

-3.5 divided by 1.25

Answers

Answer:

-2.8

Step-by-step explanation:

[tex] \frac{ - 3.5}{1.25} = - 2.8[/tex]

How much should you invest in a continuously compounded account at an annual interest rate of 6% if you want exactly $8000 after four years? (Round to the nearest cent)

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$8000\\ P=\textit{original amount deposited}\\ r=rate\to 6\%\to \frac{6}{100}\dotfill &0.06\\ t=years\dotfill &4 \end{cases} \\\\\\ 8000=Pe^{0.06\cdot 4}\implies 8000=Pe^{0.24}\implies \cfrac{8000}{e^{0.24}}=P\implies 6293.02\approx P[/tex]

Solve 5^3x = 1400. Round to the nearest hundredth.
(PLEASE don't delete this. I really need help with this.)

Answers

Answer:

11.20

Step-by-step explanation:

I did this by first doing 5 x 5 x 5 which got me 125. Then I took 1400/125 to get 11.2. However you said round to the nearest hundredth which would be 11.20

Write a function rule for the table.

Answers

The answer will be 18cd

Please help if you can. Thanks!

Answers

The area of the shaded region is 85 units cubed.

Answer:

85 Square Units

Step-by-step explanation:

We need to start by finding the area of the triangle:

(base*height)/2

[tex]\frac{17*10}{2} =85[/tex]

Then we find the area of the rectangle:

Height*Width= 170

Then we finally take the area of the rectangle (170) and subtract the area of the triangle (85) and we get the answer of 85.

12 car washes for $100 or 5 car washes for $45, state how much you will save per item

Answers

Answer:

$6

Step-by-step explanation:

you will save 6 dollars per item

(30pts) I am requesing help on this Algebra Question.

Answers

Answer:

I believe your answer is C

Step-by-step explanation:

Answer:   the third one ong

Solve 37+z≤54. Graph the solution.

Answers

Answer:

z ≤ 17

Step-by-step explanation:

Step 1: Subtract 37 from both sides.

[tex]37 + z - 37\leq 54-37[/tex] [tex]z\leq 17[/tex]

Z will equal 18 and your graph will start at 16 going backwards up to minus infinity! As well as a bracket being this : xe [-infinity, 18]

It’s graphs just help

Answers

Answer:

The answer is D

Step-by-step explanation:

There you go!!

When you measure an angle you usually have to choose between two numbers because
protractors are designed to measure angles that start on either the right or left side.
There are two angles to measure in each of the problems on this sheet and the next. The
angle on the left side is angle A. The angle on the right side is angle B. Find and record
the measure of both angles in each problem.
1 The measure of angle A is ___
degrees.
2 The measure of angle B is ___ degrees.

Answers

Answer:

B= 25°

A=138° /139°

...

...

....

....

.....

...

In circle O, CD = 30, OM = 8, ON = 9, CD I OM, ERION (The figure is not drawn to scale.)
POS
D
a. Find the radius. If your answer is not an integer express it in radical form.
b. Find FN. If your answer is not an integer, express it in radical form,
C. Find EF. Express it in radical form


PLEASE HELP!!

Answers

Answer:

Step-by-step explanation:

MC = MD = 1/2CD and EN = FN = 1/2EF

OC = √OM² + MC²

= √64 + 225

= √289

= 17 (a)

FN = √OP² - ON²

= √289 - 64

= √225

= 15 (b)

EF = 2 x FN

= 2 x 15

= 30 (c)

a box contains 576 marbles of six different colors if there are 254 boxes how many marbles are in all the boxes

Answers

146,304

You can get this by multiplying the amount of marbles in 1 box by how many boxes there are

help me figure it out

Answers

1,7 -2,-2
The ones that are directly on the line. but i think that’s the answer

Here is a square of side 2a and an equilateral triangle of side a + 1
The perimeter of the square is greater than the perimeter of the triangle.

Work out the range of possible values of a.

Answers

Answer: a>0.6

Step-by-step explanation:

The owner expects that you hand wash each coffee pot before the
coffee shop opens. You spend 72 minutes cleaning the coffee pots.
It takes you 4 1⁄2 minutes to clean a coffee pot. How many coffee
pots are there?

Answers

Step-by-step explanation:

it's simply going to be total time divided by the time to was one pot

What is the ratio of the length of DĚ to the length of BC?

Answers

Answer: 1.4

Step-by-step explanation:

What is the area of the rectangle 150 yards 200 yards

Answers

Answer:

30,000 square yards

Step-by-step explanation:

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