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Luden [163]
3 years ago
10

Please helllppp . . . only give answer if you are 100% sure it's correct please!!

Mathematics
1 answer:
SOVA2 [1]3 years ago
4 0

Condene the logarithms on the left side by applying the property, ln(<em>a</em>) - ln(<em>b</em>) = ln(<em>a</em> / <em>b</em>):

ln(<em>x</em> - 2) - ln(<em>x</em> - 3) = 1

→   ln((<em>x</em> - 2) / (<em>x</em> - 3)) = 1

Now take the exponential of both sides:

exp(ln((<em>x</em> - 2) / (<em>x</em> - 3))) = exp(1)

(<em>x</em> - 2) / (<em>x</em> - 3) = <em>e</em>

Solve for <em>x</em> :

<em>x</em> - 2 = <em>e</em> (<em>x</em> - 3)

<em>x</em> - 2 = <em>e x</em> - 3<em>e</em>

<em>x</em> - <em>e x</em> = 2 - 3<em>e</em>

(1 - <em>e</em>) <em>x</em> = 2 - 3<em>e</em>

<em>x</em> = (2 - 3<em>e</em>) / (1 - <em>e</em>) ≈ 3.582

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Natasha_Volkova [10]
We know, Circumference of a Circle = 2πr
C = 2 * 22/7 * 3.5
C = 2 * 22/2
C = 2 * 11
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In short, Your Answer would be 22 Feet 

Hope this helps!
6 0
3 years ago
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Which shows the expressions rewritten with the least common denominator?
baherus [9]

Answer:

  D.  (14x-4)/(8x^2) and (x^2-x)/(8x^2)

Step-by-step explanation:

The least common denominator will be 8x^2, the product of 2 and x to the highest of their powers in either of the denominators.

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7 0
2 years ago
Mariana walked 3/10 mile to the park. Later, she walked 1/4 mile to a friend's house. Then she walked 2/5 mile home. How many mi
Paladinen [302]

Answer:

19/20 of a mile.

Step-by-step explanation:

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The common denominator is 20 so we times the first one by 2 the second one by 5 and the last one by 4. (Both numerator and denominator.)

You will end up with this \frac{6}{20} + \frac{5}{20} + \frac{8}{20} = \frac{19}{20}

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3 years ago
a grocery clerk has 16 oranges, 20 apples, and 24 pears. The clerk needs to put an equal number of apples, oranges, and pears in
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Answer:

4

Step-by-step explanation:

Here you find the greatest common factor of 16,20 and 24

The  greatest common factor of a set of whole numbers is the largest positive integer  that divides evenly into all numbers with no remainder.

Here, the G.C.F will be

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2    8    10     12

2    4     5      6

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3 years ago
Find the amount of the annuity due. Round to the nearest cent.
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5 0
3 years ago
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