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suter [353]
3 years ago
14

To get a B in​ math, Alexandria Pappas must average 80 on five tests. Scores on the first four tests were 83​, 74​, 84​, and 77.

What is the lowest score that she can get on the last test and still get a​ B?
Mathematics
1 answer:
Paraphin [41]3 years ago
8 0
First you would add up all four tests scores and then divide the final answer by 4 because there was a total of four tests. Therefore Alexandria can get a score of 79.5% or higher is she wants to average with an 80% on all tests. Hope this helps.
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Which sequence could be partially defined by the recursive formula f (n + 1) = f(n) + 2.5 for n ≥ 1?
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Option C: –10, –7.5, –5, –2.5, … is the sequence.

Explanation:

The given recursive formula is f(n+1)=f(n)+2.5 for n\geq 1

We need to determine the sequence.

The sequence can be determined by substituting n = 1, 2, 3, 4,....

And f(1)=-10

<u>2nd term of the sequence:</u>

Substituting n = 1 in the formula f(n+1)=f(n)+2.5, we get,

f(1+1)=f(1)+2.5

Simplifying, we have,

f(2)=-10+2.5=-7.5

Thus, the 2nd term of the sequence is -7.5

<u>3rd term of the sequence:</u>

Substituting n = 2 in the formula f(n+1)=f(n)+2.5, we get,

f(2+1)=f(2)+2.5

Simplifying, we have,

f(3)=-7.5+2.5=-5

Thus, the 3rd term of the sequence is -5

<u>4th term of the sequence:</u>

Substituting n = 3 in the formula f(n+1)=f(n)+2.5, we get,

f(3+1)=f(3)+2.5

Simplifying, we have,

f(4)=-5+2.5=-2.5

Thus, the 4th term of the sequence is -2.5

Therefore, the sequence is –10, –7.5, –5, –2.5, …

Hence, Option C is the correct answer.

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pogonyaev

The logarithm of 10 to base 10 is 1

<h3>How to determine the logarithm?</h3>

The given parameters are:

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So, the logarithm expression can be represented as:

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The law of logarithm states that:

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The above means that;

When the base and the number are the same, the logarithm is 1

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\log_{10}10 = 1

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