(ar^(b))^(4)=81r^(24 ) work out a and b

Answers

Answer 1

Answer: a = 3; b = 6

[tex](ar^{b})^{4}=81r^{24}\\\\<=>a^{4}.r^{4b}=3^{4}.r^{24}\\\\\\=>\left \{ {{a=3} \atop {4b=24}} \right.\\\\\\<=>\left \{ {{a=3} \atop {b=6}} \right.[/tex]

Step-by-step explanation:


Related Questions

The distance between Prague and Vienna is 254 km. The local time in Prague is the same as the local time in Vienna. Calculate the average speed of the train

Answers

Answer: 56.44 km/h

Step-by-step explanation:

Speed = Distance / Time

Time = 1950 - 1520 = 4 hours 30 minutes = 4.5 hours

Speed = 254/4.5

= 56.44 km/h

Four friends had dinner at a restaurant. The bill was $55.40, and they added a 20% tip. The 4 friends shared the total cost equally. How much money did each person pay?

Answers

Answer:

$16.62 each

Step-by-step explanation:

First, find 20% of the bill to figure out how much the tip is worth:

20% over 100% = $x over $55.40 ---> 20 * 55.4 / 100 = 11.08

Now that we know the tip is $11.08, next add it on to the bill:

$11.08 + $55.40 = $66.48

Now divide this by 4 to split the bill evenly between the 4 friends:

$66.48 / 4 = $16.62

Which equation represents the relationship between the x -values any the y -values in the table?

Answers

The answer is D: y=6x+4

HELP ME PLEASE!!!!!!

Answers

a) (0,0) and (3,1)

1-0 divided by 3-0

Slope is 1/3

the slope represents the relationship between x and y

b) (6,2) and (-3,-1)

-1-2 divided by -3-6

Slope is 1/3

c) yes, the two triangles represent the same slope as all of the four points used are collinear (on the same line), making all the slopes equal.

A veterinarian is interested in the average number of pets her clients own. Over the course of a month, she questions each client she meets with and records their responses. The veterinarian calculates the average and draws a conclusion from her data.

What kind of statistical study did the veterinarian conduct?

A.
theoretical study
B.
survey
C.
experiment
D.
observational study

Answers

I’m pretty sure the answer is B. survey.

Answer:b

Step-by-step explanation:

Plato

SOLVE FOR X please help !!!!!!!!!!!

Answers

think of it as half a circle which all equals up to 180 degrees

subtract 180 degrees with 62 degrees which 62 degrees is in the problem.

180-62=118 degrees

so your answer is C) 118 degrees

hope that helped you out:)

Please mark my answer brainiest

What is the slope of the line represented by the equation ?

Answers

Answer:

I think is 10 because 2 negatives make a positive and 2 would make the answer -10

please can someone help me with this?

Answers

Point A is at (0,0). This is the origin.

To move to A'(5,2), we will do two things:

shift 5 units to the rightshift 2 units up

This will have (0,0) move to (5,2).

Points B,C, and D follow the same steps to get what the diagram shows. This is why the entire figure moves 5 units to the right and 2 units up. Everything is in lock-step with each other. This keeps the same shape and size.

If you want to use symbols, then you can describe the translation rule as [tex](x,y) \to (x+5, y+2)[/tex]. We add 5 to the x coordinate to shift 5 units to the right, and we add 2 to the y coordinate to shift 2 units up.

Triangle ABC was dilated with the origin as the center of dilation to create
A'B'C'.

Which rule best represents the dilation that was applied to Triangle ABC to create A'B'C'?

A. (x, y,) (13x, 13y) C. (x, y,) (x - 3, y + 3)

B. (x, y,) (3x, 3y) D. (x, y,) (½ x, ½ y)

Answers

Answer:

this is my answers

B. (X,y) (3x.3y)

In Siberia, a record high temperature of 98 F has been reported. The record low temperature is 192 degrees lower than the record high temperature. What was the coldest Siberia temperature?

Answers

Answer:

Lo: - 94o F

Step-by-step explanation:

Hi: 98oF

Difference: 192 degrees lower

Low: ?

Formula

98 - 192 = -94

That seems incredibly cold. I've lived through a day that was - 60oF and that was enough. (about - 51o C)

If you think in Celcius

The formula is

C =   5/9(F - 32)

C =  5/9 (-94 - 32)

C = 5/9 (-126)

C = -60

I think Siberia must be much colder than -60.

Estimate and then solve 8,712 ÷ 44  Pls help I will mark u BRAINLEIST​

Answers

Answer:

I think 198 the correct

Answer:

198

Step-by-step explanation:

HELPPP ASAP!!! Fernando, sixty-six, developed tremors a few years ago. Now he is becoming unsteady on his feet. Which of
the following would explain these symptoms?
O Alzheimer's
O frontal lobe dementia
O andropause
O Parkinson's

Answers

Parkinson’s disease.

Answer:

The answer is Parkinson's Disease

Step-by-step explanation:

It is correct on Odyssey Ware

I don’t know how to do this I’m so confused

Answers

Answer:

You have to graph it

Step-by-step explanation:

Step-by-step explanation:

take the value in that BIG curly bracket as X terms....then substitute one by one to the equation given below to get Y values...after that u have cordinates then u can draw the graph..

[tex]x \: \: \: y \\ - 2 = - 8 \\ - 1 = - 10 \\ 0 = - 12 \\ 1 = - 14 \\ 2 = - 16[/tex]

this is for the first equation..so the coordinated are...

(-2,-8), (-1,-10), (0,-12), (1,-14), (2,-16)

use the same methord to find the others

How can I divide 18/15 without any leftovers

Answers

Answer:

You can turn the leftovers into a decimal. the answer you would get would be 1.2.

Step-by-step explanation:

Hope this helps and have a nice day!

Answer:

Calculate out how many times the denominator goes into the numerator. To do that, divide 18 by 15 and keep only what is to the left of the decimal point:

18 / 15 = 1.2000 = 1

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

18 - (15 x 1) = 3

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

1 3/15

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 18/15 as a Mixed Number is:

1 1/5

Which would also equal to 1.2000.

Hope this kinda helped and made some sense.

            (☞゚ヮ゚)☞BRAINIEST☜(゚ヮ゚☜)            

Step-by-step explanation:

What is the slope of a line that is parallel to the given equation?
y -- 2 = 5 (x + 1)

Answers

Answer: Slope = 10.000/2.000 = 5.000

x-intercept = 7/-5 = -1.40000

y-intercept = 7/1 = 7.00000

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

y-2-(5*(x+1))=0

STEP

1

:

Equation at the end of step 1

(y - 2) - 5 • (x + 1) = 0

STEP

2

:

Equation at the end of step 2

y - 5x - 7 = 0

STEP

3

:

Equation of a Straight Line

3.1 Solve y-5x-7 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-5x-7 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 7/1 so this line "cuts" the y axis at y= 7.00000

y-intercept = 7/1 = 7.00000

Calculate the X-Intercept :

When y = 0 the value of x is 7/-5 Our line therefore "cuts" the x axis at x=-1.40000

x-intercept = 7/-5 = -1.40000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 7.000 and for x=2.000, the value of y is 17.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 17.000 - 7.000 = 10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = 10.000/2.000 = 5.000

Geometric figure: Straight Line

Slope = 10.000/2.000 = 5.000

x-intercept = 7/-5 = -1.40000

y-intercept = 7/1 = 7.00000

The sum of three consecutive numbers is 72 what is the smallest of the numbers

Answers

Answer:

23

Step-by-step explanation:

Suppose,

the first number = x

the second number = x+1

the third number = x+1+1 = x+2

Question wise,

x+x+1+x+2 = 72

3x+3 = 72

3x = 72-3 = 69

x = 69/3 = 23

so the numbers are,

23,(23+1)=24 and (23+2)=25

Jack can type 35 words per minute. How long would it take Jack to type a 490 word essay?

Answers

490 divided by 35 equals 14. It would take Jack 14 minutes to write a 490 word essay.
490 divided by 35= which is 15 so... 15 min. You can check by multiplying 35 by 15

Which represents z = 3 (cosine (StartFraction 7 pi Over 6 EndFraction) + I sine (StartFraction 7 pi Over 6 EndFraction) )?

Answers

Answer:

The first one

Step-by-step explanation:

Answer:

A on edge

Step-by-step explanation:

N = {X:X
is an odd number, 21<x<3
XEN]​

Answers

So it’s saying that the following set in roster form: (1) N = (x :x is an odd number, 21< × ≤ 35,×€ N)?

It seems to be that the Roster form would do not do anything but the thing is that this listing would give us the output of a set from this problem.

Your answer would be, N = Set of Odd Numbers such that x is greater than 21 and less than or equal to 35 = {23, 25, 27, 29, 31, 33, 35}.

please help me on this , tyyy :]

Answers

9514 1404 393

Answer:

  (a)  1, 2

  (b)  4

Step-by-step explanation:

(a)  9x +81 = 9·x +9·9 = 9(x +9) . . . . . . matches first and second choices

__

(b)  10 +14y -5 -y = (14y -y) +(10 -5) = 13y +5 . . . . . . matches fourth choice only

Write a real-world problem where you would

want to compare rates of change for two different functions.

Answers

Answer and Step-by-step explanation:

Let us assume two boys are jogging.

Boy 1 jogging speed is 10 kilometres per hour

Boy 2 jogging speed is 20 kilometres per hour

This can be represented in terms of distance, d and time, t. When we do this, we have:

d = 10t boy 1

d = 20t boy 2

This implies that boy 1 rate of change is 10 kilometers for every one hour and boy 2 is 20 kilometers for every 1 hour.

From here, we can conclude that the rate of change of boy 2 is twice the rate of change of boy 1.

-3 5/6 make it a decimal

Answers

Answer:

-3.56 i think .

Step-by-step explanation:

the correct answer is -2.5

Raquela's coworker made price tags for several items that are to be marked down by 35%. Match each Regular Price to the correct Sale Price.
Regular Price: $4.19
Regular Price: $3.09
Regular Price: $3.77
Regular Price: $3.29
.: Sale Price: $2.01
.: Sale Price: $2.45
:: Sale Price: $2.72
: Sale Price: $2.14

Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

I like a spreadsheet for doing repetitive calculations. The matchup is shown in the attachment.

The sale price is 100% - 35% = 65% = 0.65 times the regular price.

__

Here, you can also identify the matches by putting the prices in numerical order. The lowest regular price will correspond to the lowest sale price.

  regular, sale

  3.09, 2.01

  3.29, 2.14

  3.77, 2.45

  4.19, 2.72

PLEASE HELP VERY URGENT!



The graph shows the distance Kerri drives on a trip. What is Kerri's speed?
Driving Time and Distance

A. 25 miles per hour
B. 60 miles per hour
C. 75 miles per hour
D. 50 miles per hour

Answers

Answer:

Kerri's speed = 50 mile per hour. Therefore option (D) is true.

Step-by-step explanation:

Given the distance-time graph

It is clear from the distance-time graph that:

at Time = 1 hour, Distance = 50 milesat Time = 2 hours, Distance = 100 miles

so the two points on the distance-time graph is:

(1, 50)(2, 100)

Finding the slope between the points to determine the speed.

Please note that the slope between the points represents the speed or rate of change.

Speed = Rate of change = y₂-y₁ / x₂-x₁

                                         = 100 - 50 / 2-1

                                          = 50 / 1

                                           = 50 miles per hour

Thus, Kerri's speed = 50 mile per hour. Therefore option (D) is true.

pllsss I needddd helpp

Answers

I can’t see, make it clear

Do the bois got me? Please bois

Answers

Answer:

the 2

second one

Step-by-step explanation:

Answer:

DFA BFC

Step-by-step explanation:

what is the value of 5 + -2​

Answers

Answer:

3

Step-by-step explanation:

5 is greater than 2 and two is negative so the answer is positive

Eliza is planning a 5-day trip. She has budgeted $38.25 a day for food and the hotel will cost a total of $349.75. She also is bringing $495.00 for spending money. What is the average cost per day for Eliza’s trip?

Answers

Answer:

$207.20

I hope this can help in any way!

Can someone please help me on this question?

Answers

Whoever sees this have a great day ❤️

Miguel took 7 hours to read a 259-page book and Julissa took 5 hours to read a 175-page book. Who read more pages per hour?

Answers

M: 259/7=37 pages per hour
J: 175/5= 35 pages per hour

Answer: Miguel
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