Raising 16 to a power that is 3 times some number is the same as raising 32 to twice the sum of the number and 2. Which exponential equation represents this situation?

Answers

Answer 1

Answer:

\(16^{3x}= 32^{2(x+2)}\)exponential equation represents this situation

Step-by-step explanation:

Let the number be x

Raising 16 to a power that is 3 times some number=\(16^{3x}\)

Raising 32 to twice the sum of the number and 2 =\(32^{2(x+2)}\)

We are given that Raising 16 to a power that is 3 times some number is the same as raising 32 to twice the sum of the number and 2.

Equation:\(16^{3x}= 32^{2(x+2)}\)

So, The required equation is\(16^{3x}= 32^{2(x+2)}\)

Hence  \(16^{3x}= 32^{2(x+2)}\)exponential equation represents this situation


Related Questions

I need some assistance. Please someone help.

I need some assistance. Please someone help.

Answers

Answer:

C

Step-by-step explanation:

-2.96 + 4.35 = 1.39

Yuri plots point S at (Negative 1, 2.5). Which graph shows the location of point S?

Answers

D, Point S is one unit to the left

Which number line shows the graph of x>11

Which number line shows the graph of x>11

Answers

Answer: the second one.

Step-by-step explanation:

it means any number greater than or equal to 11. so it would be a closed circle going towards any number greater than 11 :)

Answer: 2

Step-by-step explanation:

Complete the table. At the beginning of the summer, there are 15 rabbits living in a field. Each week for the rest of the summer, another rabbit moves in. The equation r=25 + w describes the number of rabbits, r, after a certain number of weeks, w ​ ​


Weeks Since Summer Started ​Rabbits

​1 ​ ​ _

_ ​21 ​

8 ​ ​ _

(image displayed below)

Complete the table. At the beginning of the summer, there are 15 rabbits living in a field. Each week

Answers

Based on the above, there are 26 rabbits after 1 week.

There are 33 rabbits after 8 weeks.

What is the numbers of Rabbits?

Weeks Since Summer Started                         Rabbits

     1                                             |   16

     2                                            |   17

     3                                             |   18

     4                                              |   19

     5                                              |   20

     6                                                |   21

     7                                                 |   22

     8                                                |   23

To find the number of rabbits after a certain number of weeks, we can substitute the number of weeks into the equation r = 25 + w and solve for r.

For example, after 1 week, we have:

r = 25 + w = 25 + 1 = 26

So there are 26 rabbits after 1 week.

Similarly, after 8 weeks:

r = 25 + w = 25 + 8 = 33

So there are 33 rabbits after 8 weeks.

Learn more about Number count from

https://brainly.com/question/27861861

#SPJ1

what value of x makes this equation true -(x+3)=2(x-3)

A. 0
B. 1
C. 2
D. 3

Answers

Answer:

To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:

Step 1: Distribute the negative sign on the left side of the equation:

-(x + 3) = 2(x - 3)

=> -x - 3 = 2(x - 3) (using the distributive property)

Step 2: Expand the right side of the equation:

-x - 3 = 2x - 6

Step 3: Add x to both sides of the equation to isolate the x term on one side:

-x + x - 3 = 2x + x - 6

=> -3 = 3x - 6

Step 4: Add 6 to both sides of the equation:

-3 + 6 = 3x - 6 + 6

=> 3 = 3x

Step 5: Divide both sides of the equation by 3 to solve for x:

3/3 = 3x/3

=> 1 = x

So, the correct value of x that makes the equation true is B. 1.

PLEASE MARK BRAILYISTT :D

Answer:

B, one

Step-by-step explanation:

In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.

MULTI CHOICE Q
look in picture

MULTI CHOICE Q look in picture

Answers

Answer:

D

Step-by-step explanation:

The two legs ( shorter sides) have the right angle between them in a right triangle and

5^2 + 9^2   DOES equal 13^2

The answer would be D. Knowing that 52 + 122 = 132, draw the 5 cm side and the 12 cm
side with a right angle between them. The 13 cm side will fit to form a right triangle.

A stadium has seats that are arranged into sections. In each section, the seats

are arranged into rows. There are 11

sections, 7 rows in each section, and 10

seats in each row. As a baseball game

in the stadium, all of the seats are

occupied. A seat will be chosen at

random and a price will be awarded to

the person sitting in that seat. If Hoda is

sitting in one of the seats, what is the

probability that she will win the price?

Answers

Answer:

1/770

Step-by-step explanation:

7x10x11=770 he is sitting in one seat so 1/770 she will win.

the answer is 770 so 1/770

Plz help! read the instructions and write a proper answer and if you don't i will report you! And the first one to answer right will get a brainliest!

Plz help! read the instructions and write a proper answer and if you don't i will report you! And the

Answers

Answer:

1 = 0.61, 2 = 1.13

Step-by-step explanation:

The first is 25 + 25 + 10 + 1. This is 61 cents which is 0.61 of 1 dollar. The second is 100 + 10 + 1 + 1 + 1. This is equal to 113, 0r 1.13

BRAINLIEST PLEASE

Please solve this problem! 2x2-2-4+7= ?

Answers

Answer:

5

Step-by-step explanation:

2x2=4

4-2=2

2-4=-2

-2+7=5

Answer:

5

Step-by-step explanation:

Which type of line symmetry does the figure have?
vertical
horizontal
diagonal
none of the above

Which type of line symmetry does the figure have?verticalhorizontaldiagonalnone of the above
Which type of line symmetry does the figure have?verticalhorizontaldiagonalnone of the above

Answers

Answer:

The letter C has horizontal symmetry

The letter N has none of the above

Step-by-step explanation:

Answer:

Horizontal and none

Step-by-step explanation:

help me out people :)

help me out people :)

Answers

The speed of the train is 60 km/hr and the speed of the bus is 80 km /hr

If you have 1 fine lightskin and add 1 me what do you get ?

Answers

the pretty ugly duo.
Something new. Something unheard of probably. New species

i have no idea what im doing pls help.

i have no idea what im doing pls help.

Answers

I did that last year, basically both sides of the hangar have to be equal.
And the number at the top is what all the shapes on the hanger equal, so each side of the hangar equals 18 because it is half of 36.
You are trying to figure out what each shape equals.

Explanation of Answer:
There is only one shape on the left so since the left side has to equal 18 the yellow triangle equals 18.
And the right side equals 18 as well so you know how much the green one is worth so subtract 3 ( the green one) from 18 which is 15. Then to find out how much ONE blue moon is worth you divide 15 by how many moons there are which would be three so 15 divided by 3 is 5 making the moons worth 5.

Answer:
Yellow triangle: 18
Green: 3
Blue moon: 5

Hope this helped sorry if it was messy!
Both sides will have the same equal number.
So, basically have to half the main number, which is 36. So, it'll be both sides will have to equal to 18.

So, yellow is 18.

It is given that the green is worth 3. 18 - 3 = 15. 15 divided by 3 is 5. Therefore, blue is 5.


Yellow = 18
Blue = 5
Green = 3

Answer needed WITH explanation asap

Answer needed WITH explanation asap

Answers

Answer:

14

Step-by-step explanation:

5x + 2 + 48 = (180-120)+30 +30

5x+50 = 60+30+30

5x+50=120

5x=120-50

5x = 70

x = 70/5

x = 14

14 is right I hope y’all are having a great day

Compare the integers –4, –1, 2, and 4.

Answers

Answer:

-1, -4, 2, 4

Step-by-step explanation:

The are ascending

All the numbers are ascending

p|z help. It seems that I've got myself in a bit of a pickle.

view screenshot

thank you!

(and more is coming after this one because this is one of those things where I can't see the next question until I answer the question I'm on ...)

p|z help. It seems that I've got myself in a bit of a pickle.view screenshotthank you!(and more is coming

Answers

Answer:

Equation - C = 40P

Answer - $520 for 13 people

Step-by-step explanation:

Using C = 40P, plug in 13 for P, making it C = 40 * (13). This equals $520 for 13 people. By multiplying the amount of people there is by the cost of each ticket, you get $520.

Hope this helps!! Good luck!

Answer:

equation: C = 40P

cost for 13 people: 520 dollars

Step-by-step explanation:

each person needs to pay $40, so we know that our C will be directly proportional to P where each P costs 40 dollars ( C = 40P )

we have 13 people so we replace the variable P with 13 ( C = 40(13) )

we multiply 13 by 40 and end up with C = 520, so we know that will be the cost for 13 people

Isabel is mixing paint. She mixes 2 (1/3) pints of blue paint and 4 (1/4) pints of yellow paint.

Which of the following has a ratio of blue paint to yellow paint that is proportional to the amounts used in Isabel's paint mixture?

Isabel is mixing paint. She mixes 2 (1/3) pints of blue paint and 4 (1/4) pints of yellow paint.Which

Answers

Answer: None of these are correct

Step-by-step explanation:

these are all wrong

Consider the table:
Input value Output value
0 0
1 1
2 4
3 9

Which statements are true? Select all that apply.
The graph of the function will not form a straight line, so it is nonlinear.
The function is not proportional.
The function goes through the origin.
The difference between consecutive output values is a constant.

Consider the table:Input value Output value0 01 12 43 9Which statements are true? Select all that apply.The

Answers

Answer:

1st 2nd and 3rd box

Step-by-step explanation:

1. It does not form a straight line because the output is not proportional. (it does not follow a pattern)

2. the line is not proportional because it does not follow a pattern or ratio of any kind (2468 is proportional because it follows the pattern of 2)

3. the origin is the coordinates (0,0) and the table has that labeled in the diagram therefore the graph does go through the origin

4. the output is not constant (output is 0149) because it does not show any sort of pattern. therefore the 4th box is incorrect.

Fill in The graph with numbers given

Fill in The graph with numbers given

Answers

You need to add them toghether first.

for each of the figures write the absoloute value equation

for each of the figures write the absoloute value equation

Answers

Answer:|x -4| -4 = 0

Step-by-step explanation:

Answer:0

Step-by-step explanation:

If the spinner is spun once, then P (landing on test postponed) is...
A)impossible
B)unlikely
C)equally likely
D)likely
E)certain

If the spinner is spun once, then P (landing on test postponed) is... A)impossibleB)unlikelyC)equally

Answers

Answer:A

Step-by-step explanation:

help, question is below

help, question is below

Answers

Answer:

First equation is equivalent to 54x-12 and 6*9x - 6*2

Second equation is equivalent to 10y + 11y and 21y

Step-by-step explanation:

The first equation, 6(9x-2) is considering distribution, if you were to multiply all terms in the parentheses by 6, the base, you would get 54x-12. Since the fourth equation is the same thing, just less simplified, both the second and fourth equations are equivalent here.

The second equation, 10y + 6y + 5y, is combining like terms. Technically, all this is saying is 21y since you can add like terms together. Therefore the first and third equations are correct. The fourth is not because 21y is 21 times the value of y, whereas 21 + y is just 21 by itself plus y.

A circular running track is 1/2 a mile long. Elena runs on this track, completing each lap in 1/16 of an hour. What is Elena's running speed? Include the unit of measure.

Answers

Answer:

She completes a lap every 3 minutes and 45 seconds

Step-by-step explanation:

Divide 60 by 16.

I just need answers please!!

I just need answers please!!

Answers

Answer:

11. -12

12. 11

13. -14

14. 10

Step-by-step explanation:

Answer:

11. -28

13. -3/11

12. -17

14. -6

Step-by-step explanation:

how to solve 6r - 1 + 6r =11

Answers

Answer:

r = 1

Step-by-step explanation:

The equation is,

→ 6r - 1 + 6r = 11

Now the value of r will be,

→ 6r - 1 + 6r = 11

→ 12r = 11 + 1

→ r = 12/12

→ [ r = 1 ]

Hence, the value of r is 1.

Answer:

The answer is 1 r is equal to 1

Step-by-step explanation:

3^2 ×2^4 x3^3 x2^3 x3^2 x2^2

Answers

Answer:

3^7*2^9

Step-by-step explanation:

3^2 × 2^4 x 3^3 x 2^3 x 3^2 x 2^2= 3^7*2^9

3^7*2^9 is the answer

HELP ANSWER THIS I WILL GIVE TEN POINTS AND THANKS!

REMEMBER TO EXPLAIN STEP-BY STEP! AND GET THE CORRECT ANSWER!

The units and tens digits of one-two digit integer are the tens and units digits of another two- digit integer, respectively. If the product of the two integers is 4930, what is their sum?

Answers

Answer:

(10t + u)(10u + t) = 4,930

100tu + 10t^2 + 10u^2 + tu = 4,930

101tu + 10t^2 + 10u^2 = 4,930

10t^2 + (101u)t + (10u^2 - 4,930) = 0

(101u)^2 - 4(10)(10u^2 - 4,930)

= 10,201u^2 - 400u^2 + 197,200

= 9,801u^2 + 197,200

We see that u = 5 gives 442,225.

√442,225 = 665

(10t + 5)(50 + t) = 4,930

500t + 10t^2 + 250 + 5t = 4,930

10t^2 + 505t - 4,680 = 0

2t^2 + 101t - 936 = 0

t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)

= (-101 + √17,689)/4

= (-101 + 133)/4 = 32/4 = 8

So the numbers are 58 and 85.

58 + 85 = 143

Brainliest Given <3
Draw a line to match each real world problem with the expression that can be used to solve it.

Lily has 32 ounces of orange Juice. if this is 10% more than sav, how much orange juice does sav have?

Danie is purchasing a new video game controller. After a discount of $32 the cost of the controller is $32. what was the original cost of the controller?

Answer Choices:

A) 0.9x =32
B) 0.1x =32
C) 1.1x=32

Answers

Answer:

The answer is the first one is B

The answer is the second one is C

Step-by-step explanation:

Lily has 32 ounces of orange Juice. if this is 10% more than sav, how much orange juice does sav have?

Answer =   0.9x =32 and 0.1x=32

Danie is purchasing a new video game controller. After a discount of $32 the cost of the controller is $32. what was the original cost of the controller?

Answer = 1.1x=32

4 students order 2 cheeseburgers and 1 drink each. Which of the following can be used to calculate the total number of cheeseburgers and drinks that they order? Let c stand for cheeseburgers and d stand for drinks.

Answers

Answer:

Cost = 2c(4) + 1d(4)

Step-by-step explanation:

Since each person got 2 cheeseburgers and one drink you have to take hem each and multiply by 4. Since we don't know the cost of the cheeseburgers or drink we will leave it as c and d.

Person 1: 2c and 1d

Person 2: 2c and 1d

Person 3: 2c and 1d

Person 4: 2c and 1d

Cost = 2c(4) + 1d(4)

Answer:

Cost = 2c(4) + 1d(4)

Step-by-step explanation:

What do the stage directions at the end of the excerpt indicate?

Answers

Answer:

The stage direction at the end of an excerpt are used to provide information about how the characters should move or speak on stage.

Answer:

The stage direction at the end of an excerpt are used to provide information about how the characters should move or speak on stage.

Step-by-step explanation:

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