Use the equation, 16^2x=32^(x+3), to complete the following problems.
Rewrite the equation using the same base.
Solve for x. Write your answer in simplest form

Answers

Answer 1

Answer:

x = 5

Step-by-step explanation:

2⁴(2x) = 2⁵(x + 3)

2^8× = 2^5x + 15

cancel out the 2

8x = 5x + 15

8x - 5x = 15

3x = 15

divide through by 3

x = 5


Related Questions

At Silver Gym, membership is $30 per month, and personal training sessions are $45 each. At Fit Factor,
membership is $90 per month, and personal training sessions are $35 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?
Sarah would have to buy
equal.
personal training sessions to make the total cost at the two gyms

Answers

Answer:

6 sessions

Step-by-step explanation:

s= session

silver gym: 30 +  45s

session 1: 75

session 2: 120

session 3: 165

session 4: 210

session 5: 255

session 6: 300

fit factor: 90+ 35s

session 1: 125

session 2 : 160

session 3: 195

session 4: 230

session 5: 265

session 6: 300

What is the median? 4,5,6,2,2,6,7,8,6​

Answers

Answer:

2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of the shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?​

Answers

Answer:

30.17feet high

Step-by-step explanation:

Given the following

the distance from the base of the pole to the tip of the shadow = 49feet (hypotenuse)

angle of elevation = 38°

Required

Height of the flagpole (opposite)

Using the SOH CAH TOA identity

Sin theta = opposite/hypotenuse

Sin 38 = H/49

H = 49sin38

H = 49(0.6157)

H = 30.17feet

Hence the flagpole is 30.17feet high

What is the difference between the two rates of
change?
Function A
Function B.
7
14
21
Y
3
10
17

Answers

Answer: ben dover

Step-by-step explanation:

touch your toes ill show you where the wild goose goes

just some simple math fro points reward brainliest

Answers

First one is a function and the second one is also a function !

Answer: first one is function second is not a function

Step-by-step explanation:

What is the midpoint of the segment with endpoints (1,9)and(-3,5)

Answers

Answer:

(-1,7)

Step-by-step explanation:

Which of the following is the solution to the equation 64^(z+4) = 1024

Answers

2^(6*(z+4)) = 2^10

6z + 24 = 10
z = -7/3

The data show the times (in minutes) spent fishing before getting a bite. 12, 25, 28, 20, 18, 16, 22, 30 What fraction of the times are less than or equal to 17 minutes?

Answers

Answer:

1/4

Step-by-step explanation:

Firstly, we need the numbers that are less than or equal to 17 minutes

These numbers from the data set are;

12 and 16

The count of numbers is;

8

so the fraction we need is simply 2/8

and that is 1/4

Please please help me

Answers

Answer:

b) 43 degrees

Step-by-step explanation:

Answer:

Choice B

Step-by-step explanation:

The bottom right angle is 80° since thats the value of its complement

Subtract 180-123 to get the complement of the bottom left and the value of the bottom left, 57°

Since all the interior angles in a triangle will add up to 180° add 57 and 80 to get 137 then subtract 137 to get the value of x, 43.

What is the answer? 5x+3x+2y+4y=

Answers

Answer:

8x+6y

Step-by-step explanation:

add the coefficients of like terms with the same variable

Las longitudes de dos lados de un octágono regular están representadas por las expresiones 2x + 4 y 3x-8. Encuentra la longitud de un lado del octágono

Answers

Answer:

La longitud del lado del octágono es de 28 unidades.

Step-by-step explanation:

Si las longitudes de los dos lados pertenecen a un octágono regular, entonces se satisface la siguiente condición:

[tex]2\cdot x + 4 = 3\cdot x - 8[/tex] (1)

A continuación, despejamos [tex]x[/tex] en (1):

[tex]3\cdot x - 2\cdot x = 4 + 8[/tex]

[tex]x = 12[/tex]

Ahora, determinamos la longitud del lado del octágono: ([tex]x = 12[/tex])

[tex]l = 2\cdot x + 4[/tex]

[tex]l = 28[/tex]

La longitud del lado del octágono es de 28 unidades.

Please help me for my homework

Answers

Answer:

m<CAO = 56

Step-by-step explanation:

When two parallel lines are intersected by a transversal, the same-side interior angles are supplementary, meaning that their angle measures add up to (180) degrees. Using this information, substitute in the given values and solve for the unknown,

(m<DOA) + (m<CAO) = 180

Substitute,

3x + 40 + 2x = 180

Simplify,

5x + 40 = 180

Inverse operations,

5x + 40 = 180

     -40    -40

5x = 140

/5     /5

x = 28

Now substitute the value of (x) back into the given expression for the value of (<CAO). Solve to find the numerical value.

<CAO = (2x)

= 2(28)

= 56

Find the perimeter of a rectangle with length (x-5) and width (3x+1).

Answers

Answer:

8x-8

Step-by-step explanation:

P=s+s+s+s or in this case P= 2l+2w

P= 2(x-5)+2(3x+1)

P=(2x-10)+(6x+2)

P=8x-8

8x-8 will be the perimeter of a rectangle with length (x-5) and width (3x+1).

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Given that,

Length of rectangle = x - 5

Width of rectangle = 3x + 1

Now,

Perimeter of rectangle = 2(width + length)

Perimeter of rectangle = 2(3x + 1 + x - 5)

The perimeter of the rectangle = 8x - 8

Hence "8x-8 will be the perimeter of a rectangle with length (x-5) and width (3x+1)".

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Is there such a thing as greatest common multiple ? Or is it only least common multiple? Why ?

Answers

The answer is true. The least common multiple is greater than or equal to the numbers being considered, while the greatest common factor is equal to or less than the numbers being considered.

Answer:

Yes.

Step-by-step explanation:

We have GCD and LCM.

GCD means Greatest Common Divisor

LCM means Least Common Multiple

GCD can also mean HCF(Highest Common Factor)

You have a box with 5 blue marbles, 4 red marbles, and 9 yellow marbles. You are going to pull out one marble, record its color, put it back in the box and draw another marble. What is the probability of pulling out a blue marble followed by a yellow marble?

Answers

Answer:

I think it's 45/196.

Step-by-step explanation:

Not sure though, no explanation.

The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

What is probability ?

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

Based on the given conditions, formulate 9 ×9÷((9 + 5 + 4) ×(9 +5 +4))

Calculate the product or quotient = [tex]\frac{81}{(9 +5 + 4) * (9 + 5 + 4)}[/tex]

Calculate the sum or difference=  [tex]\frac{81}{(14 + 4) * (9 +5+4)}[/tex]

Calculate the sum or difference = [tex]\frac{81}{18 * (9+5+4)}[/tex]

                                                     = [tex]\frac{81}{18 * (14 + 4)}[/tex]

                                                     =[tex]\frac{81}{18 * 18}[/tex]

Calculate the product or quotient = [tex]\frac{81}{324}[/tex]

Cross out the common factor = [tex]\frac{1}{4}[/tex]

              get the result 25% or 0.25

Therefore, The probability of pulling out a blue marble followed by a yellow marble 25% or 0.25 .

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Please help me out give brainly

Answers

it is irrational because it is not a perfect square

1. If 50% of x is 20, what
is 10% of c ?

A. 4
B.16
C. 20
D.40

Answers

Answer:

b???????????????????????????

Step-by-step explanation:

Find g(-4) if g(x) = 8x^2 + 4x

Answers

Answer:

x = - 4

[tex]g(x) = 8 {x}^{2} + 4x[/tex]

g(- 4) =?

[tex]g( - 4) = 8( { - 4)}^{2} + 4( - 4) \\ g( - 4) = 8 \times 16 - 16 \\ g( - 4) = 128 - 16 \\ g( - 4) = 112[/tex]

=> g (- 4) = 112.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Copy the diagram. Then draw Rx=-1 (ABC). Lable the vertices of the image by using prime notation.

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Reflection over x = -1 performs the transformation ...

  (x, y) ⇒ (-2-x, y)

Different sizes of string needs to be cut to go around various shapes. All of the following sizes are in inches.
π √2 4√4 √16
(a). Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.

(b). Order the string sizes from least to greatest.

Answers

Answer:

Step-by-step explanation:

what is the value of v in the equation -25=-(4v+7)+10​

Answers

Answer:

-25 = -(4v+7)+10

-25 = -4v-7+10

-25 = -4v+3

4v = 3+25

4v = 28

v = 28 ÷ 4

v = 7

Answer:

Therefore the value of v in the equation is 7

Translate The verbal sentences into an algebraic inequality

(1) x is at most 50 _________

(2) the sum of 5x and 2x is at least 70 __________

(3) the maximum value of 4x-6 is 54 _________

Answers

Step-by-step explanation:

1. x>50

2. (5x+2x)<70

3 (4x-6)>54

Fill in the table using this function rule.
y=5x-1​

Answers

the 1st one is 5(-1)-1= -6
the 2nd one is 5(0)-1= -1
the 3rd one is 5(1)-1= 4
the last one is 5(2)-1= 9

The table values with the function y = 5x - 1.

x      y

-1     -6

0      -1

1       4

2      9

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = 5x - 1

For x = -1,

y = -5 - 1 = -6

For x = 0,

y = - 1

For x = 1,

y = 5 - 1 = 4

For x = 2,

y = 10 - 1 = 9

Thus,

The table values are given above.

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Math Minute 92b
can you guys help?

Answers

Answer:

n = 81

Step-by-step explanation:

sqrt(n) = 9

(sqrt(n))² = 9²

n = 81

A cylinder has a radius of 5 cm and a height of 8 cm. What is the volume of the cylinder in terms of π?

Answers

Answer:

The answer to the question is 80π

Use the graph that shows the solution to f(x) = 9(2).
What is the solution to f(x) = g(x)?
Select each correct answer

Answers

Answer:

Step-by-step explanation:

hello :

the first graph : 1  and -1 at second ; 2

Hi i need to identify the congruence postulation i think i need help.​

Answers

what do you need help with exactly

Will give brainliest if your answer is correct.

Answers

Answer:

B

Step-by-step explanation:

One hour would cost $30 and every hour after is $5 more so B is the correct answer.


A car travels 955.9 km in 8 hours. How far does the car travel in 20.4 hours if the speed of the car remains constant?​

Answers

Answer:

2437 km

955.9km in 8 hours. so every hour the car travels 955.9÷8=119.48 km

119.48×20.4=. 2437.392

Help please I beg you. There’s a picture of the question and answers

Answers

Hello ur answer would be b.
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