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m_a_m_a [10]
3 years ago
10

If I use the Quotient of Powers Property to simplify this expression, I should ( add, subtract, multiply, divide) the exponents.

The final answer will be ( 7, 14, 49, 343)
7^8 ÷ 7^6
Choose one of the answer in each Punctuation
Mathematics
1 answer:
Makovka662 [10]3 years ago
7 0
7^8 / 7^6 = 7^2 = 49
The formula is [a^m / a^n = a^m-n]
I hope this helped :)
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A certain radioactive material decays in such a way that the mass in kilograms remaining after t years is given by the function
Angelina_Jolie [31]

The mass of radioactive material remaining after 50 years would be 48.79 kilograms

<h3>How to determine the amount</h3>

It is important to note that half - life is the time it takes for the amount of a substance to reduce by half its original size.

Given the radioactive decay formula as

m(t)=120e−0.018t

Where

t= 50 years

m(t) is the remaining amount

Substitute the value of t

m(t) = 120e^-^0^.^0^1^8^(^5^0^)

m(t) = 120e^-^0^.^9

Find the exponential value

m(t) = 48.788399

m(t) = 48.79 kilograms to 2 decimal places

Thus, the mass of radioactive material remaining after 50 years would be 48.79 kilograms

Learn more about half-life here:

brainly.com/question/26148784

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7 0
2 years ago
There are 4 teams in a soccer tournament. Each team plays each of the other teams exactly once. In each match, the winner receiv
Liula [17]

Answer:

8 points

Step-by-step explanation:

Given that there are 4 teams and Each team plays each of the other teams exactly once, then each team plays 3 matches. The possible points after 3 matches are:

0: 3 lost

1: 2 lost, 1 tied

2: 2 tied, 1 lost

3: 3 tied

4: 1 won, 1 lost, 1 tied

5: 1 won, 2 tied

6: 2 won, 1 lost

7: 2 won, 1 tied

9: 3 won

3 0
3 years ago
Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence
Dmitry_Shevchenko [17]

Answer:

The A) ΔABC ≅ ΔEDC

Step-by-step explanation:

The AAS congruence method requires 2 angles and their un-included side to be congruent. ∠A ≅ ∠E due to the markings, ∠C ≅ ∠C because they are vertical angles, and AB ≅ ED due to the markings. 2 angles and their un-included side are congruent.

As for the congruence statement, A is the correct answer because ∠A ≅ ∠E, ∠B ≅ ∠D, and ∠C ≅ ∠C. The order of the naming of the triangles aligns to the angle's congruence.

3 0
3 years ago
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What is the average rate of change of the function f(x)=4(2)^x from x = 0 to x = 2? Enter your answer in the box.
bekas [8.4K]

average rate of change is just the slope from (0,f(0)) to (2,f(2))


basically, average rate of change=slope=\frac{f(2)-f(0)}{2-0}

evalaute each

f(2)=4(2)^2=4(4)=16

f(0)=4(2)^0=4(1)=4


so average rate of change=\frac{16-4}{2-0}=\fracc{12}{2}=6

average rate of change is 6

3 0
3 years ago
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B >= 5,000 because it mentioned "at least" so its equal and more than 5,000
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