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Ierofanga [76]
3 years ago
13

Write the expression as a single natural logarithm. 5 In 3

Mathematics
1 answer:
krok68 [10]3 years ago
8 0

Answer:

5ln3=ln(3^5)

Step-by-step explanation:

Given: 5ln(3)

Use rule: alog(b)=log(b^a), aln(b)=ln(b^a) (doesn't matter what the log base is)

Apply rule: ln(3^5)

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Can you use the SAS Postulate, the AAS Theorem, or both to prove the triangles congruent? A. either SAS or AAS B. SAS only C. AA
Harman [31]
Sas only because the triangles and usually congruent to me or in my opponion
5 0
3 years ago
I need help what’s the answer ?
pogonyaev

Answer:

x = 30

Step-by-step explanation:

Using the sine ratio in the right triangle

sinx = \frac{opposite}{hypotenuse} = \frac{2.5}{5} = \frac{1}{2} , then

x = sin^{-1} (\frac{1}{2} ) = 30

4 0
3 years ago
The director of the library believes that 14% of the library's collection is checked out. If the director is right, what is the
Ksivusya [100]

Answer: 0.2643

Step-by-step explanation:

Let p be the population proportion and \hat{p} be the sample proportion .

As per given question , we have

p=0.14\\\\ \hat{p}=0.13\\\\ n=478

z-score : \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.13-0.14}{\sqrt{\dfrac{0.14(1-0.14)}{478}}}\\\\=-0.630087269176\approx-0.63

The required probability ( using z-table ):-

P(z

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643

5 0
4 years ago
Marni has 11 ounces of walnuts. She needs 6 ounces for one recipe and pound for another. There are 16 ounces in 1 pound.
Ahat [919]
11-6=5 ounces. She doesn’t have enough for both of the recipes. She will need 11 more ounces to be able to make the recipes. 5+11=16 and 16 ounces are in a pound.
4 0
2 years ago
Read 2 more answers
Henry is staining the wooden floor of a court. The court is in the shape of a rectangle. Its length is 54 feet and its width is
tensa zangetsu [6.8K]

Answer:

Henry would need 12 cans to cover the court

Step-by-step explanation:

1: 30 times 54 = 1620

2: 1620 divided by 135 = 12

8 0
4 years ago
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