MATHEMATICS MIDDLE SCHOOL

Write 5^8 as a quotient of two exponential terms with the same base in four different ways. Use only positive exponents.

Answers

Answer 1
Answer: The correct answer for the question that is being presented above is this one: 

5^8 can be represented into two exponential terms as quotients.

5^8
= 5^12 / 5^4
= 5^9 / 5
= 5^10 / 5^2
= 5^15 / 5^ 7

You can still have other answers aside from the four items that i am presenting here.

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What is the answer to -3(2x-3)=33

Answers

Answer:

The answer is -4.

Step-by-step explanation:

Start with distribution: -6x+9=33

Additive Inverse of 9: -6x+9=33

                                          -9   -9

                                      ----------------

  Divide both sides by -6: -6x  = 24

                                            x=-4                                      

My cousin was interested in reactions that produce carbon dioxide gas. She wondered if there was some way to predict how much gas a reaction would produce. She did a series of seven experiments and measured the amount of carbon dioxide released by each one. Baking soda (spoons) Calcium chloride (spoons) Carbon dioxide (milliliters) 1 1 800 1 2 1600 1 3 1600 2 1 800 2 2 1600 2 3 2400 3 1 800 Based on my cousin’s experimental results,answer these questions. 1. How many mL of gas would be produced if 3 spoons of baking soda reacted with 3 spoons of calcium chloride? 2. How many mL of gas would be produced if 2 spoons of baking soda reacted with 1.5 spoons of calcium chloride? 3. My cousin wanted to produce exactly 2000 mL of carbon dioxide. How much baking soda and calcium chloride should she use?

Answers

Answer:

1.)2240

2.)1173.33334

3) soda = 3, calcium chloride = 2.625

Step-by-step explanation:

Baking soda (spoons)

1 - 1 - 1 - 2 - 2 -2 - 3

Calcium chloride (spoons)

1 - 2 - 3 - 1 - 2 - 3 - 1

Carbon dioxide (milliliters)

800 - 1600 - 1600 - 800 - 1600 - 2400 - 800

Modeling the above using a multiple regression technique:

ŷ = ax1 + bx2 + c

Where ŷ is the predicted value

x1 and x2 are the first and second predictor variable.

ŷ = 106.66667X1 + 640X2 - 0

1.) How many mL of gas would be produced if 3 spoons of baking soda reacted with 3 spoons of calcium chloride?

ŷ = 106.66667(3)+ 640(3) - 0

320.00001 + 1920 - 0 = 2240

2.) How many mL of gas would be produced if 2 spoons of baking soda reacted with 1.5 spoons of calcium chloride?

ŷ = 106.66667(2)+ 640(1.5) - 0

213.33334 + 960 + 0 = 1173.33334

C.) To produce 2000mL of gas

It could be achieves a a number of ways

ŷ = 106.66667X1 + 640X2 - 0

For instance if she opts to use 3 spoons of soda

2000 = 106.66667(3) + 640x2

2000 = 320.00001 + 640x2

2000 - 320 = 640x2

x2 = 1680/640

x2 = 2.625 spoons

5 divided by one to the fourth power

Answers

5/1=5

5^4= 5 x 5 x 5 x 5

5 x 5= 25 x 5= 125 x 5= 625 =5= 3125
5/(1^4)= 1^4= 1 so 5/1 is 1 
the answers 1

Please answer ASAP! An explanation is a MUST REQUIREMENT in order to receive points and the Brainliest answer. Thank you.

Answers

MULTIPLY BY FOR BECAUSE IT SAYS 4X WHICH MEANS FOUR TIMES SO 4*3/2 HOPE THIS HELPS HOPE I AM BRAINLIEST I NEED IT 
I would pick the third choice because in order to find x, you must multipy your 4.

Select the graph that represents the solution to the following inequality: Ix-3I<3

Answers

The correct answer is:  Answer choice:  [C]:_________________________________________________→  {the number line/ graph provided for choice:  [C] ;  as follows}:_________________________________________________

I do not get how to do Simpliflyng Radicals.

Answers

First step: Find out the prime numbers that make up the radical, for example, 120 would be 2x2x2x5x3
Second step: If there is 2 of the same number that repeats just put that number in the front of the resulting radical
Third: Just multiply the remaining radicals together and put the number in front of it.
Now you have
2 √(30)
Example Simplify √252
Step 1: Find the prime factorization of the number inside a radical.252 = 2 x 2 x 3 x 3 x 7 
Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.√252 = √2 x 2 x 3 x 3 x 7
Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.2 x 3√7 
Step 4: Simplify the expressions both inside and outside the radical by multiplying.6√7

Hope that was clear!
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