which expression is equivalent

Which Expression Is Equivalent

Answers

Answer 1

Answer:

a^9*b^6

Step-by-step explanation:

a^(-8)                              b              1                                         1

-------- = a^(-3), and   ----------- = ---------  Their product is --------------

a^(-5)                            b^(3)        b^2                                a ^3*b^2

This is the algebraic expression inside the parentheses.  We must now take

the negative 3rd power of this result.

  (a^3*b^2)^3 = a^9*b^6

         


Related Questions

A college's lacrosse team will play 23 games next spring. Each game can result in one of 2 outcomes a win or a loss. Find the total
pos ble number of outcomes for the season record

Answers

Answer: 529 possible outcomes

Step-by-step explanation:

You square the number of games as many times as the outcomes (win or loss)

2 outcomes = 23 * 23

23 * 23 = 529

Since there are 2 outcomes, you multiply 2 23’s together to get the number of possible ways.

529 .
Basically all you do is find an even number of possible wins and loses. 23 games with two outcomes 23*23=529

part 2. Find the missing sides for each 30 60 90 triangles. Show work please.​

Answers

5. tan(30) =4/g

g = 4/tan(30)

g = 4√3

sin(30) = 4/h

h = 4/sin(30)

h = 8

6.

tan(30) = 14/l

l = 14/tan(30)

l = 14√3

sin(30) = 14/m

m = 14/sin(30)

m = 28

7.

sin(30) = j/50

j = 50 x sin(30)

j = 25

cos(30) = k/50

k = 50 x cos(30)

k = 25√3

Answer pleaseeee ASAP

Answers

Answer:

93 square metres

Step-by-step explanation

The formula for surface area is 2ab+2ac+2bc, and with no lid one bc can be removed.

Suppose a=7 b=3 and c=3

2(7x3)+2(7x3)+(3x3)=93

What is the HCF of 36 81?

Answers

Answer:

9

Step-by-step explanation:

Let us look at the factors of each of these

36:

1 and 36

2 and 18

3 and 12

4 and 9

81:

1 and 81

3 and 27

9 and 9

When we look at the factors, we can see that 9 is the Highest Common Factor shared between them.

Answer: hope that's right

HCF OF 36 81 = 9

Step-by-step explanation:

Steps to find HCF:

Find the prime factorization of 36 36 = 2 × 2 × 3 × 3

Find the prime factorization of 81 81 = 3 × 3 × 3 × 3

To find the HCF , multiply all the prime factors common to both numbers:

Therefore, HCF = 3 × 3

HELP!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation

Cluster- a group of points that close together

symmetry- data is balanced on opposite sides of  a point or line

spread- how close or far apart the values are in  a data set

center- the middle of a data set

gap- a space between data values

Please answer correctly !!!!!!! Will mark brainliest answer !!!!!!!!!!!!

Answers

Answer is   6

=========================================================

How to get this answer:

Locate 6 on the x axis. Draw an arrow down until you reach the f(x) curve, then move to the left until you reach the y axis. We started at x = 6 and ended on y = -6. See the diagram below for this process in action.

So basically f(6) = -6. Visually the point (6,-6) is on the f(x) curve.

Through similar steps, we see that g(5) = -5

Therefore,

4*f(6) - 6*g(5) = 4*(-6) - 6*(-5) = -24 + 30 = 6

Jack has a part time job selling clothes at a clothing store. He earns
$50 per week plus 10% of the value of her weekly sales. This week Jack
earned $250. What is the total value of his sales this week? *​

Answers

Answer:

$2,000

Step-by-step explanation:

$250-$50=$200

$200*10=$2,000

A gift has the dimensions of 50 cm x 35 cm x 5 cm. You have wrapping paper with
dimensions of 75 cm x 60 cm. Do you have enough wrapping paper to wrap the gift? Why
or why not?

Answers

Answer:

Yes, there is enough wrapping paper

The area of the wrapping paper is greater than area of the gift

Step-by-step explanation:

What to do is to check the area of the wrapping paper and the gift if equal.

Looking at the dimensions of the gift, it is a cuboid

Area of a cuboid = 2(lb + lh + bh)

where l, b and h are 50, 35,5 respectively

= 2(250 + 175 + 1750)

= 4350 cm^2

The area of the wrapping paper is just the product of its side = 75 * 60 = 4500 cm^2

We can see clearly that the area of the wrapping paper is greater than area of the gift.

so we can conclude that it is enough to wrap the gift

Are these functions??!!

I need this for today if you do all of it i’ll fr cashapp you money for it wassupp?

Answers

Answer:

Going from left to right:

1.) Yes

2.) No

3.) Yes

4.) No

5.) No

6.) Yes

7.) No

8.) No

9.) Yes

10.) No

11.) Yes

12.) Yes

13.) No

14.) Yes

15.) Yes

16.) No

Step-by-step explanation:

Functions cannot have any repeating x-coordinates.

1.) Yes

2.) No

3.) Yes

4.) No

5.) No

6.) Yes

7.) No

8.) No

9.) Yes

10.) No

11.) Yes

12.) Yes

13.) No

14.) Yes

15.) Yes

16.) No

I will mark you brainliest!!!! Which statement about the represented equation is true?

Answers

Answer:

A

Step-by-step explanation:

Answer:

D. The slope is 7, and (2, -4) is on the line.

Step-by-step explanation:

y+4=7(x-2)

y+4=7x-14

Subtract 4 from both sides

y=7x-18

The slope is 7. (y=mx+b, m is the slope, b is the y-intercept)

(0, -18), (1, -11), (2, -4), (3, 3), (4, 10) are points on the line.

The answer that is true out of all of them is D. The slope is 7, and (2, -4) is on the line.

I need help with this question please

Answers

Answer:

The exact length of the third side would be 9.

Step-by-step explanation:

To find the length of the triangle, just add the height (6) and the base (3) which equals 9.

Rebecca is given two triangles, ABC and DEF. at first glance, she thinks that the triangles are congruent. How can she use what she knows about rotations and triangle congruence to prove the triangle congruence?

Answers

Answer:

A

Step-by-step explanation:

If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40

If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.

We have given that,

Rebecca is given two triangles, ABC and DEF.

At first glance, she thinks that the triangles are congruent.

Therefore we have

What is the meaning of rotation?

Rotation is circular movement.

A rotation is the movement of something through one complete circle.

The daily rotation of the earth upon its axis.

If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40.

Therefore, If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.

To learn more about the rotation visit:

https://brainly.com/question/26249005

#SPJ2

The units of the subway map below are in miles. Suppose the routes between stations are straight, find the distance you would travel between the Elm and Oak stations. Write your answer to the nearest tenth of a mile.

Answers

Answer:

4.5 miles

Step-by-step explanation:

On the graph,

Elm station is located at (-3,-6)Oak station is located at (-1,-2)

We use the distance formula to find the distance between Elm and Oak.

[tex]\text{Distance Formula=}\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\(x_1,y_1)=(-3,-6), (x_2,y_2)=(-1,-2)\\Distance=\sqrt{(-1-(-3))^2+((-2)-(-6))^2} \\=\sqrt{(-1+3)^2+(-2+6)^2} \\=\sqrt{2^2+4^2}\\=\sqrt{20}$ Units \\ Distance =4.5 mile (to the nearest tenth of a mile.)[/tex]

What is the nth term rule of the quadratic sequence below?
6, 20, 40, 66, 98, 136,...

Answers

3n^2 + 5n - 2



~Hope this helps.

Please help me with my question!!

Answers

Answer:

c and d

Step-by-step explanation:

find a coordinate of B' after a 180° rotation of the triangle about the origin and then a reflection about the x = 2. ​

Answers

Answer:

  B' = (5, -4)

Step-by-step explanation:

The picture is illegible, but we think B is (1, 4).

After rotation 180°, both coordinates are negated, so the point is ...

  B" = -(1, 4) = (-1, -4)

After reflection across x=2, the x-coordinate is subtracted from 2·2 = 4:

  B' = (4 -(-1), -4)

  B' = (5, -4)

find the lowest common multiple of 8 and 6

Answers

Answer:

24

Step-by-step explanation:

8x3

6x4

Answer:

24

Step-by-step explanation:

LCM is the Lowest Common Multiple

To find the LCM of 2 numbers, first list a few of the first multiples of each number:

8 = 8,16,24,32,40

6 = 6,12,18,24,30

Here, we notice that 24 is the first multiple that is common in both times tables. Thus, 24 is the LCM

hope this helps

Simplify to create an equivalent expression
8k-5(-5k+3)

Answers

Answer:

33k - 15

Step-by-step explanation:

8k-5(-5k+3)

Distribute

8k +25k -15

Combine like terms

33k - 15

_______________________________

Solution,

8k-5(-5k+3)

= 8k+25k-15

=33k-15

hope it helps..

Good luck on your assignment

_____________________________

(b) If 1/3 volume of a vessel is filled with 5 litres of what is the volume
of the vessel.​

Answers

Answer:

15 litres

Step-by-step explanation:

1/3 x= 5

x= 5 : 1/3

x= 5*3

x= 15 litres

PLZZZ HLPPP MEEE The S's in the SSS Similarity theorem states that two triangles are similar if they have ___________ proportional sides

Answers

Answer:

3

Step-by-step explanation:

SSS similarity states that all 3 sides must be proportional for the triangles to be similar

11. In a group of six young pupils the mean weekly amount of pocket money is £5. When a new pupil joins, the mean weekly pocket money increases to £6. What does the new pupil receive each week ?

Answers

Answer:

£12

Step-by-step explanation:

Mathematically, we know that the mean is calculated by dividing the sum of the numbers by the count of the numbers.

Now, when they were 6 and the mean is £5, this means that the total is simply

6 * 5 = £30

Now, when a new student join, there is an increase in the value of the mean.

A new student joining means they are now 7 with the total now 7 * £6 = £42

Now the difference between the total of 6 and 7 will be £42 - £30 = £12

This value represents what the new pupil receive each week

Please help stuck on this question

Answers

Answer:

110 - 2x

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

x + 50 + 5x - 40 + 110 - 2x = 180, that is

4x + 120 = 180 ( subtract 120 from both sides )

4x = 60 ( divide both sides by 4 )

x = 15

Thus

x + 50 = 15 + 50 = 65°

5x - 40 = 5(15) - 40 = 75 - 40 = 35°

110 - 2x = 110 - 2(15) = 110 - 30 = 80°

The largest angle is (110 - 2x)° = 80°

Angle measure and segment lengths: Find "Y" and do not round your answer. Please answer in under five minutes, thanks!

Answers

Answer:

y = 11.2 in.

Step-by-step explanation:

To solve this question we will use the theorem of intersecting secants and tangents.

"If a secant and a tangent are drawn to a circle from an external point then length of tangent is the geometric mean between the length of external segment of the secant and the length of the secant."

By this theorem,

5(5 + y) = (9)²

y + 5 = [tex]\frac{81}{5}[/tex]

y = 16.2 - 5

y = 11.2 in

Therefore, y = 11.2 in. will be the answer.

Answer:

11.2

Step-by-step explanation:

i got it right online

Find the sum of the first 9 terms of the following series, to the nearest integer 3, 3.75, 4.6875

Answers

Answer:

77.4

Step-by-step explanation:

The first term, a, of the series is 3.

It is a geometric progression, so we can calculate the common ratio, r:

3.75 / 3 = 1.25

The sum of n terms of a geometric progression is given as:

[tex]S = \frac{a(1 - r^n)}{(1 - r)}[/tex]

where n =  number of terms considered

The sum of the first 9 terms will therefore be:

[tex]S_9 = \frac{3(1 - 1.25^9)}{(1 - 1.25)} \\\\S_9 = \frac{3(1 - 7.45)}{-0.25}\\ \\S_9 = \frac{3 * -6.45}{-0.25}\\ S_9 = \frac{-19.35}{-0.25}\\ \\S_9 = 77.4[/tex]

What is 46% of 22? Use a fraction and express your answer in simplest form.

Answers

Answer:

10 3/25

Step-by-step explanation:

46/100x22 =46x22 divide by 100

1012/100

10 12/100 both twelve and hundred can be divided by 4 thus final answer is ten whole(10) and three over twenty five(3/25)

-Common Core Math I A: P CR 46.27
Using Function Noiation
Try it
The mapping diagram shows a functional relationship.
Domain
Range
Complete the statement.
f(3) is
0
0
3
3
-1
9
→ 9
What is f

Answers

Answer:

The answer to f is 9 hope this helps can you make me answer brianlest

Function g can be thought of as a translated (shifted) version of f(x)=x^2 Write the equation for g(x) g(x)=______

Answers

Answer:

g(x)=(x^2)-3

Step-by-step explanation:

f(x) is shifted down by 3 units

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.

The equation of the scenario is
.

The values of p must be
.

Answers

This is technically impossible in real life, but we are assuming in this case that Rocco is going to constantly lose half a pound per week. Therefore, we can model this scenario using this equation:

Rocco's current weight = initial weight - (half pound per week * # weeks)

p = 55 - 0.5*w

Now if we follow the vet's advice than Rocco needs to lose 10 pounds making his new weight 55-10 = 45 pounds which means p = 45 and it would take 20 weeks (w=20)

Answer:

The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.

The equation of the scenario is p=55-0.5w

The values of p must be any real number 45 to 55

13 is 23 less than 15 times a number

Answers

Answer:

13 = 15(x) - 23

x = 12/5 or 2 2/5

factorise f²-f-20 step by step ​

Answers

Answer:

(f+4)(f−5)

 

Step-by-step explanation:

The middle number is -1 and the last number is -20.

Factoring means we want something like

(f+_)(f+_)

We need two numbers that...

Add together to get -1

Multiply together to get -20

4+-5 = -1

4*-5 = -20

Fill in the blanks in

(f+_)(f+_)

with 4 and -5 to get...

(f+4)(f-5)

_______________________________

Hey!!

Solution,

f^2-f-20

= f^2-(5-4)f-20

= f^2-5f+4f-20

= f(f-5)+4(f-5)

=(f-5)(f+4)

So the answer is (f-5)(f+4)

Hope it helps..

Good luck on your assignment

_____________________________

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