If 32^2C = 8^C+7, what is the value of c?
1
2
3
5

If 32^2C = 8^C+7, What Is The Value Of C?1235

Answers

Answer 1

32 = 2⁵ and 8 = 2³, so you can rewrite the equation as

[tex]32^{2c}=8^{c+7}\implies(2^5)^{2c}=(2^3)^{c+7}\implies 2^{10c}=2^{3c+21}[/tex]

The bases of both sides are equal, so the exponents must be too. Solve for c :

10c = 3c + 21

7c = 21

c = 3


Related Questions

What is the least common denominator of 5/6 and 3/8?​

Answers

Answer:

Step-by-step explanation:

5/6 and 3/8  LCD is 24

An envelope is 48 centimeters wide, and it measures 52 centimeters along the diagonal. How tall is the envelope?

Answers

Answer:

20 cm.

Step-by-step explanation:

Pythagorean Theorem a^2 + b^2 = c^2 (c is the hypotenuse).

Plug it in.

48^2 + b^2 = 52^2

2,304 + b^2 = 2,704

Isolate the variable.

b^2 = 400

b = 20

64 divided by 12 4/5

Answers

Answer:

..............5

Step-by-step explanation:

64 ÷12 4/5

A student wants to use the property
(
x

y
)
(
x
+
y
)
=
(
x
2

y
2
)
to find the product
(
26
)
(
34
)
.
Which statement is true?

Answers

The property is an illustration of difference of two squares

The true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]

The property is given as:

[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]

The product is given as:

[tex]\mathbf{(26)(34)}[/tex]

Let x - y = 26, and x + y = 34.

So, we have:

[tex]\mathbf{x - y = 26}[/tex]

[tex]\mathbf{x + y = 34}[/tex]

Make x the subject in [tex]\mathbf{x - y = 26}[/tex]

[tex]\mathbf{x = 26 +y}[/tex]

Substitute 26 + y for x in [tex]\mathbf{x + y = 34}[/tex]

[tex]\mathbf{26 + y+ y = 34}[/tex]

[tex]\mathbf{26 + 2y = 34}[/tex]

Subtract 26 from both sides

[tex]\mathbf{2y = 34 -26}[/tex]

[tex]\mathbf{2y = 8}[/tex]

Divide both sides by 2

[tex]\mathbf{y = 4}[/tex]

Substitute 4 for y in [tex]\mathbf{x = 26 +y}[/tex]

[tex]\mathbf{x = 26 + 4}[/tex]

[tex]\mathbf{x = 30}[/tex]

So, we have:

[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]

[tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]

Hence, the true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]

Read more about difference of two squares at:

https://brainly.com/question/23651973

Jamie ordered 200 business cards and paid $23. She ordered 500 business cards and few months later and paid $35. WRITE and SOLVE a linear equation to find the cost to order 700 business cards.

Answers

Find the unit rate of the previous two. use that to plug in 700

Why are arithmetic sequences discrete data?

Answers

Answer:

If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

Step-by-step explanation:

Answer:

A sequence is a discrete structure used to represent an ordered list.

Step-by-step explanation:

Discrete values are values between the terms if the sequences are not included in the sequence. If you collect all the terms of the sequence into a set, that set will always be discrete, because there's only countably many of them, and every interval is uncountable. So in that sense, yes, sequences are discrete. A sequence is a discrete structure used to represent an ordered list. A sequence is a function from a subset of the set of integers (usually either the set {0,1,2,. . .} or {1,2, 3,. . .}to a set S. We use the notation an to denote the image of the integer n. We call an a term of the sequence.

simplify 5.42 - 4.987

Answers

Answer:

0.433

Step-by-step explanation:

5.42 - 4.987

Subtract each column of digits starting from right to left.

5.420

- 4.987

If the digit being subtracted is larger than the digit above it then borrow a digit from the next left column.

5.420

- 4.987

Borrow 1 from 5:

4.(10+4)20

- 4.987

4.(14)20

- 4.987

Borrow 1 from 14:

4.(13)(10+2)0

- 4.987

4.(13)(12)0

- 4.987

Borrow 1 from 12:

4.(13)(11)(10+0)

- 4.987

4.(13)(11)(10)

- 4.987

Subtract the second digit from the first:

(10 - 7 = 3):

4.(13)(11)(10)

- 4.987

= 3

(11 - 8 = 3):

4.(13)(11)

- 4.987

= 33

(13 - 9 = 4):

4.(13)

- 4.987

= 433

4.(13)

- 4.987

= .433

(4 - 4 = 0):

4.(13)

- 4.987

= 0.433

ILL GIVE BRAINLIEST FOR BEST AWNSER!!!
A football player kicks a ball with a force of 50 N
How does the impulse above change if he doubles the amount of time that his foot is in contact with the ball?

Answers

Answer: AP= 30 kgm/s c) Calculate the final velocity of the object, if it was initially at rest. A 0.5kg baseball experiences a 10N force for a duration of 0.1s.

Step-by-step explanation:

Can you use the properties of exponents you discovered to simplify 5^2 · 2^5 ?

Answers

5² × 2⁵ = 25 × 32 =. 800

Hope this helps

Which statement is true about the equation shown below?
10 – 2 (4x – 3) = 2x + 7 – 10x

A.The only solution to the equation is x=9/16

B.The only solution to the
equation is x=9/20

C.The equation has infinite
solutions.

D.The equation has no solution.

Answers

Answer: C.The equation has infinite

solutions.

Harpo, Groucho, Chico, Zeppo, Gummo and Karl are the finalists in the fabulous Clearers’ Publishinghouse sweepstakes.

Two prizes will be awarded: the Grand Prize and the Even Grander Prize. The prizewinners will be randomly selected (and it is possible that one person may win both prizes).

How many outcomes are possible?

Answers

Answer:

ADGTSGADADASDAWDSDWA

Step-by-step explanation:

AADASDWADS

write the slope-intercept form of the equation of each line. (DONT do number 26 )

Answers

25) m: -4
b: -1

Equation: -4x-1

27) m: 4
b: 4

Equation: 4x+4

28) m: 5/2 (or in decimals: 2.5)
b: 0

Equation: 5/2x or (2.5x)

Hoped this helped.

Answer:

25) -4, -1

Equation: -4x-1

27) 4, 4

Equation: 4x+4

29) 5/2,0

Equation: 5/2x

Step-by-step explanation:

Y=mx+b

A certain model of remote-control Stanley garage door opener has nine binary (off/on) switches. The homeowner can set any code sequence. (a) How many separate codes can be programmed

Answers

Answer:

[tex]Codes= 512[/tex]

Step-by-step explanation:

Given

[tex]Switches = 9[/tex]

[tex]Controls = 2[/tex] ------- on or off

Required

Determine the number of codes to be programmed

Since each switch has any of the on or off controls (i.e on or off), then:

The first switch can be coded in any of the 2 controls

The second switch can be coded in any of the 2 controls

The third switch can be coded in any of the 2 controls

Up till the ninth switch

So, we have that:

[tex]Codes= 2 * 2 *2*2*2* 2 *2*2*2[/tex]

[tex]Codes = 2^9[/tex]

[tex]Codes= 512[/tex]

Hence, there are 512 possible codes

A cone has a height of 5 inches and a radius of 4 inches. What is its volume?
Use a ~ 3.14 and round your answer to the nearest hundredth.

Answers

9514 1400 393

Answer:

  83.73 in³

Step-by-step explanation:

It is appropriate to use the formula for the volume of a cone:

  V = (1/3)πr²h

  V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³

The volume of the cone is about 83.73 in³.

you should solve the answer for z not m pls

Answers

Step-by-step explanation:

we can factor out z

so that'll be

z((1/m)-(1/n))=1

divide by the value in parentheses on both sides

z=1/((1/m)-(1/n))

I can't tell if there's more the problem wants you to do. I could rewrite the equation on paper more easily, but I don't have one on hand

Answer: The answer is z=1/((1/m)-(1/n). Abhlnav, I'm sorry about not finding the answer to solve for z, and that’s the reason why you told me to solve for z not m to your algebraic expression to find the answer. Are you very good at mathematics, Abhlnav?

Step-by-step explanation:

Harry fills up his Jeep with gasoline and notes that the odometer reading is miles. The next time he fills up his Jeep, he pays for gallons of gasoline. He notes his odometer reading is miles. How many miles per gallon did he get?

Answers

Complete question :

Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,568.7 miles. The next time he fills up his Jeep, he pays for 12.6 gallons of gasoline. He notes his odometer reading is 23,706.3 miles. How many miles per gallon did he get?

Answer:

10.9 miles per gallon

Step-by-step explanation:

Given that :

Odometer reading when filled up with gasoline = 23,568.7 miles

Odometer reading with 12.6 gallons of gasoline = 23,706.3 miles

Miles per gallon gotten :

(Current Odometer reading - reading when filled up) / gallon of gasoline

(23706.3 - 23568.7) / 12.6

= 10.920634

= 10.9 miles per gallon

wilt weighs 1 1/2 times as much as Anita. together they weigh 250 lb. find anita's weight. choices for Anita's weight: 90, 100, 105, 150

Answers

Anita would weigh 100 lbs

If the income of the consumer increases, the budget constraint line will shift:
a.
away from the origin, but its slope will remain the same
b.
away from the origin, and its slope will become steeper
c.
toward the origin, but its slope will remain the same
d.
toward the origin, and its slope will become steeper

Answers

Answer:

b

Step-by-step explanation:

this is for the 20 characters thing

What's the answer to this on Zearn??

Answers

Answer:

The answer is

4/12 - 3/12

Step-by-step explanation:

Answer:

4/12 - 3/12

Step-by-step explanation:

find percent increase
from 24 teachers to 30 teachers ___​

Answers

It’s a 25% increase

Show your work please
will give brainliest...
The square of a certain positive number is equal to 2 more than seven-thirds of that number. What is the number?

6
4
3

Answers

Answer:

3

Step-by-step explanation:

x^2=7/3x+2

3^2=7/3(3)+2

9=7+2

9=9

3 is the answer have a great day!!

Find the inverse of the function.

Answers

Answer:

A) [tex]f^{-1}(n)= (n+2)^3[/tex]

Step-by-step explanation:

[tex]f(n) = \sqrt[3]{n} -2[/tex]

[tex]y = \sqrt[3]{n} -2[/tex]

[tex]y = n^{1/3}-2[/tex]

[tex]n = y^{1/3} -2[/tex]

[tex]n + 2 = y^{1/3}[/tex]

[tex]y = (n + 2) ^3[/tex]

[tex]f^{-1}(n) = (n + 2)^3[/tex]

Hope this helps!

Answer:

Option A

Step-by-step explanation:

f(n) =∛n-2

y= ∛n-2

Interchange y and n

n =∛y-2

Subtract -2 on both sides

n+2 = ∛y

both  both sides  to the 3rd power:

(n+2) to the 3rd power = y

Inverse :

f-1(n) =     (n+2) to the 3rd power  (option A)

Is the following relation a function?

Yes
or
No

Answers

Answer:

no

Step-by-step explanation:

Answer:

I think that it is yes but not sure

Multiply: 1/ 3 × 2 /5 To find the product, the numerators and the denominators. The product is . Divide: 2/ 5 ÷ 3/ 5 To divide, multiply by the . The quotient is .

Answers

Multiply:  1

3

 ×  2

5

To find the product,

✔ multiply

the numerators and

✔ multiply

the denominators.

The product is

✔ 2/15

.

Divide:  2

5

 ÷  3

5

To divide, multiply by the

✔ reciprocal

.

The quotient is

✔ 2/3

.

Edg 2020 :)))))))

The multiplication result to 2/15 and division result to 2/3.

What is Fraction?

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.

Given:

1/ 3 × 2 /5

Now, to multiply we have multiply numerator and denominator.

1/ 3 × 2 /5

=(1  x 2)/ ( 3 x 5)

= 2 /15

Now, 2/ 5 ÷ 3/ 5

We have to divide the fraction.

Fraction does not support division.

So,2/ 5 ÷ 3/ 5

= 2/5 x 5/3

= 2/3.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ2

How do I know if the triangles are simulat

Answers

Answer:

triangles are not similar because all angles of similar triangle's are equal but in the given figure one angle's are equal but other are not equal

Step-by-step explanation:

A bird is flying at a constant rate.

This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.

Which statement best describes the bird's elevation, given this equation?


The bird started at a height of 15 meters and is ascending at 8 meters per minute.

The bird started at a height of 15 meters and is descending at 8 meters per minute.

The bird started at a height of 8 meters and is descending at 15 meters per minute.

The bird started at a height of 8 meters and is ascending at 15 meters per minute.

Answers

Answer:

It is the first one 15 is the y intercept slope 8/1

I know m<1 is 55 but I don’t know 2 &3. Please help.

Answers

2 is 55 and 3 is 180-150 so 30

|2x + 7| >7

what are the boundary points?

Answers

Answer:

the answer is  [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x<-7\quad \mathrm{or}\quad \:x>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-7\right)\cup \left(0,\:\infty \:\right)\end{bmatrix}[/tex]

Step-by-step explanation:

i hope this helps :)

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).

Answer:

absolute value

Step-by-step explanation:

If your talking about the two lines by the 7 and the 2.

there used to find the absolute value of a number.

lets say you have this  |-2| your answer would be 2.

|1| =1

-|1|= -1

I hope you get the point

the question would be 2x=7>7 its that easy

Solve for y: (1/2)y + 1/2 =
3 1/2

Answers

Answer:

Step-by-step explanation:

1/2y + 1/2 = 3 1/2

        - 1/2      -1/2      subtract 1/2 on both sides to isolate 1/2y

1/2y = 3                      divide both sides by 1/2 to get y value

y = 6

Help me please I don’t . Get so please give me the answer

Answers

Answer:

1953125

Step-by-step explanation:

Answer:

5⁹ =5⁴

5⁵

Step-by-step explanation:

this is my answer

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