The product of two powers is 11^8 and their quotient is 11². What are the two powers? Explain.

Answers

Answer 1

Answer:

The powers are 3 and 5.

Step-by-step explanation:

When you multiply 2 exponential functions you add the powers and when you divide these functions you subtract the powers, so we have:

11^a * 11^b = 11^(a+b)

11^a/ 11^b = 11^(a-b)

So, from the information given:

      a + b = 8

      a -  b = 2       Adding:-

    2a = 10

     a = 5.

and substituting in the second equation

   5 - b = 2

         b = 3.

   


Related Questions

what is the density of a pine log if the weight is 42.63 lbs, radius 5 in, length 30in

Answers

Answer:

Step-by-step explanation:

density is weight divided by volume. And the volume of a log is like a cylinder.

V=hpi(r^2) in this case

V=25(30)pi=750pi so

d=(42.63)/(750pi)

d=0.018 lb/in^3

Kindle wrote a five page report with 250 words per page how many words are in the report ?

Answers

Answer:

The answer is 1250

Step-by-step explanation:

5×250=1250

Answer:

1250

Step-by-step explanation:

number of words on one page= 250

number of pages= 5

total number of words=250 x 5

=1250

There 1250 words in the report

PLEASE MARK ME AS BRAINLIEST!!!!!

Help please please please! WILL MARK BRAINLIST

Answers

Answer: I think it is A or B

Step-by-step explanation:

A deli sells small, medium, and large sack lunches. Each bottle of water costs $1, and each apple costs $1. Each sandwich costs s dollars. Some customers buy sack lunches, and some customers buy items separately.
Amy buys 8 sandwiches and 12 waters.her total cost is 8s+12 how much did she pay.

Answers

Answer:

unknown

Step-by-step explanation:

it doesn't tell you anything about the total cost of amy, you can't go backwards and reverse the equation

8+12=$20

Step-by-step explanation:

just add them up since they all cost $1

If A = (- 1, - 3) and B = (11, - 8) what is the length of AB? 13 units 12 units C. 11 units D. 14 units

Answers

Answer:

12 units is the answer.

P varies inversely with x. If P = 12 when x = 4, find the value of P when x = −48.

Answers

Answer:

P = - 1

Step-by-step explanation:

Given P varies inversely with x the the equation relating them is

P = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition P = 12 when x = 4

12 = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

48 = k

P = [tex]\frac{48}{x}[/tex] ← equation of variation

When x = - 48, then

P = [tex]\frac{48}{-48}[/tex] = - 1

R
E
D
2x – 14
S
x + 2
F

Answers

Answer:

evt iwkkkoeoeooeieieieiekkekwkwkwkkwkwkwkwkkw

What is 3/8 simplified and divided please show steps

Answers

Answer:

0.375

cannot be simplified more.

Step-by-step explanation:

three is prime, meaning it can only be divided by 1 and itself. When you see a prime in a fraction, you cannot simplify anymore without accidentally making it more complicated. Divided would just be the decimal form. The decimal form of 1/8 is 0.125, so if you multiply it by three you should get 3/8=0.375

show that the ratios 14/18 and 28/36 form a proportion by finding a common multiplier.

Answers

Step-by-step explanation:

divide it by 2...............

3W + 2n - W + 8 + 3
how do you simplify this expression ?

Answers

3w+2n-8w+3 I think but don't get me wrong

2w+2n+11 this should be the correct simplified expression

Which expression has a value of 15 when n= 7?
43-5
O 31-5
O on-28
28
019-
n

Answers

Answer:

19- 28 over N

Step-by-step explanation:

Do the ratios 4/12 and 10/30 form a proportion? yes or no

Answers

Answer:

Yes because you can multiply the numerator and denominator by 2.5 to get 10/30 so it is proportional

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

it makes 2/3 when reduced

Please help ❤️❤️❤️❤️❤️❤️

Answers

Answer:

[tex]\frac{-1}{7}[/tex] or 0.14

Step-by-step explanation:

To find slope you can use the formula

mx=[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

or

[tex]\frac{rise}{run}[/tex]

Rise over run:

Rise over run is the easiest of the two so we'll be using that one first for this question, but both should give you the same answer

To find rise over run, select the points and see how many points up or down you must got to make it the same level as the other point

In this case, the point (-3,1) would have a run of -1 because you have to move down one

To find run, now that you have rise start from that point and count how far you have to go to get to the next point. You should be going in a straight line.

The run would be 7.

Now you make it a fraction/division problem

[tex]\frac{rise}{run} =\frac{-1}{7}[/tex]

-0.14285714285714285714285714285714 <- decimal value

-0.14

Depending on what it means by reduce, your answer will either be -1/7 or the decimal. Use the reduced decimal value if it's asking for a decimal

I've included a picture in case my explanation was not satisfactory or you need a visual.

Slope form:

Identify the two points

First one will be (-3,1)

Second one would be (4,0)

Now label them

-3 will be x1

1 is y1

4 is x2

0 is y2

You will be using [tex]\frac{y2-y1}{x2-x1}[/tex]

Put the values into the equation

[tex]\frac{0-1}{4--3} =\frac{0-1}{4+3} =\frac{-1}{7}[/tex]

You get the same thing as the previous way.

Same answer

Visuals also included

I hope this helps and don't be afraid to reach out with further questions!

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

1) Melanin

2) rare albino snake

3) c

4) a

5) c

6) a

The area of the triangle above will equal one half of a rectangle that is 5 units long and __ units wide. (Input only whole numbers, such as 8.)

Answers

Answer:

2

Step-by-step explanation:

Find the diagram attached

The Base of the triangle will be equivalent to the the length of the rectangle

Since the base of the triangle is 5units, hence length of the rectangle is 5units

Similarly, the height of the triangle is corresponding to the width of the rectangle

Since the height of the triangle is 2 units, the rectangle will be 2 unts wide. Hence the required answer is 2units

Seis albañiles hicieron una barda de 180 m2 durante 12 días. ¿Cuántos días necesitaran 5 albañiles para levantar una barda de 100 m2 ?

Answers

Answer:

8 dias

Step-by-step explanation:

Primero tenemos que averiguar cuantos m2 pueden levantar los seis albañiles en 1 dia. Esto lo calculamos dividiendo los 180m2 por los 12 dias que les llevo hacerlo.

180 / 12 = 15 m2 por dia

Ahora tenemos que dividir este numero por los 6 albañiles para calcular cuantos m2 hace 1 albañil por dia

15 / 6 = 2.5

Ahora tenemos que multiplicar este m2 por los 5 albañiles que pide la pregunta

5 * 2.5 = 12.5 m2 por dia

Finalmente, necesitamos dividir los 100 m2 por los 12.5 m2 que pueden hacer los 5 albañiles por dia.

100 / 12.5 = 8 dias

find the product of (2x^2+2x-3)(4x^2-3x+6

Answers

Answer:

=8x^4+2x^3−6x^2+21x−18

Step-by-step explanation:

(2x2+2x−3)(4x2−3x+6)

I REALLY NEED YOUR HELP PLEASEEE ASAAAAPPPPP THE QUESTION GOES LIKE THIS, if bob has 1 apple and jimmy has 1 apple what will be the total of all the apples? PLESE HELLPPPPP

Answers

Answer:

2

Step-by-step explanation:

Answer:

the apple will be 1

.............

Which of the following ordered pairs is a solution to the equation 4x+4y=4? Select all that apply.

Answers

Answer:

okay, the answers are: (-9, 10), (-4, 5), and (-13, 14)

Step-by-step explanation:

hope this helps

A plant is already 45 centimeters tall, and it will grow one centimeter every month.Let h be the plant's height (in centimeters) after m months.Write an equation relating h to m . Then use this equation to find the plant's height after 14 months.

Answers

X=45*14 is the answer

please help me what is the answers

Answers

Answer:

What is your question. Please refer to a single question.

At her most recent race, Sue finished in 272 minutes. That is 15% less time than the previous race. What was her time in the previous race?

Answers

Answer:

320 minutes was her time on the previous race

Step-by-step explanation:

Let the time spent on the previous race be x minutes.

Given that at her most recent race, Sue finished in 272 minutes which is 15% less time than the previous race then

x - 15% * x = 272

x - 0.15x = 272

0.85x = 272

x = 272/0.85

x = 320 minutes

Find the measure of an angle and its complement if one angle measures 18 degrees more than the other?

Answers

Answer:

x+18=90-x

use this equation and solve

2x=72

x=36

36+18=54

90-54=36

54 degrees and 36 degrees

The solution is,  the measure of an angle and its complement are, 54 degrees and 36 degrees.

What is an angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

We know that, a ray is a line that continues on forever inn one direction with a point at it's start.

here, we have,

let, one angle = x

x+18=90-x

use this equation and solve

2x=72

x=36

so, we get,

36+18=54

90-54=36

Hence, The solution is,  the measure of an angle and its complement are, 54 degrees and 36 degrees.

To learn more on angle click:

brainly.com/question/28451077

#SPJ6

you buy some bags of tomatoes for $6.75. If each bag costs $2.25, how many bags do you buy?

Answers

Answer:

you would of bought three bags of tomatoes

[tex]18 = -5b - 17[/tex]

Answers

Answer:

b = -7

Step-by-step explanation:

18 = -5b-17

Add 17 to each side

18+17 = -5b-17+17

35 = -5b

Divide each side by -5

35/-5 = -5b/-5

-7 = b

GIVING BRAINLIEST AND 39 points I3. Pls help with all !Which cellular process occurs within the
organelle shown above? sc.8.L.18.2
A cellular respiration
B photosynthesis
C transport of phloem
D transport of xylem

Answers

2. Chlorophyll
3.B
4. B
5.C

Which sand-castle spire has a greater volume? How much more sand do you need to make the spire with the greater volume?

Answers

Answer: spire b has the greatest volume with a volume of 64. spire a has a volume of 60. you'll need 4 in^3 more sand.

Step-by-step explanation:

since we know the volume of spire a is 60 while spire b’s volume is 64, from there, all you do is subtract 64 from 60. that gives us 4. meaning you need 4 in^3 more sand.

Which of the following values is the solution to the equation
-16 + x = -30 ?

-2
-14
-46
-480

Answers

Answer:

-14

Step-by-step explanation:

so we see -30-(-16)=-30+16=(-14)

hope it helps you

please mark me as brainlist

What equivalent to 4 3/4

Answers

19/4 I believe that is the answer Explination: 4x4+3=19

Answer:

Greeetings!

Step-by-step explanation:

4 3/4 =

Improper fraction - 19/4

Decimal form - 4.75

Hope this helps! :)

Which graph represents an exponential function?

Answers

The second graph represents the exponential function

Answer:

second which would be c for edg

Step-by-step explanation:

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