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Setler [38]
2 years ago
10

Evaluate the following logarithmic expression without the use of a calculator. Enter your answer as a fraction reduced to the lo

west terms. ln(\sqrt[7]{e4})
Mathematics
1 answer:
Leni [432]2 years ago
3 0
Assuming you meant <span>e⁴  thus
</span>

\bf ln\left( \sqrt[7]{e^4} \right)\implies log_e\left( e^{\frac{4}{7}} \right)\\\\&#10;-----------------------------\\\\&#10;log_{{  a}}{{  a}}^x\implies x=x\impliedby \textit{let's use this cancellation rule}\\\\&#10;-----------------------------\\\\&#10;log_e\left( e^{\frac{4}{7}} \right)\iff \cfrac{4}{7}
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If it takes B hours to walk a certain distance at the rate of 3 miles per hour, the number of hours it takes to return the same
natita [175]

Answer:

It will take 0.75B hours for the return leg

Step-by-step explanation:

Here, given that the first leg of the trip was for B hours at 3 miles per hour , we want to calculate the number of hours the return leg will take at 4 miles per hour given that it is the same distance.

Mathematically, we know that ;

Distance = speed * time

So the distance taken on the first leg of the trip would be;

Distance = 3 miles per hour * B hours = 3B miles

Now, this distance was traveled on the return leg also.

This means that the time taken here will be;

Time on return leg = distance/speed = 3B/4 = 0.75B hours

5 0
2 years ago
Yan is climbing down a ladder. Each time he descends four rungs on the ladder, he stops to see how much farther he has to go. Wh
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My Answer: Descends

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3 0
3 years ago
Read 2 more answers
What is 25x0.25 <br> A)0.625<br><br> B)6.25<br><br> C)62.5<br><br> D)625
ipn [44]

Answer:

B)6.25

Step-by-step explanation:

5 0
2 years ago
A recent survey shows that the probability of a college student drinking alcohol is 0.6. Further, given that the student is over
solong [7]

Answer: 0.5143

Step-by-step explanation:

Probability of students who are over 21 years old = 30% = 0.3

Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7

Probability of drinking alcohol for over 21 = 80% = 0.8

Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2

Let the probability of the students who are not over 21, that drink alcohol be p.

Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)

0.6 = (0.3 × 0.8) + (0.7 × p)

0.6 = 0.24 + 0.7p

0.7p = 0.6 - 0.24

0.7p = 0.36

p = 0.36/0.7

p = 0.5143

The probability of the students who are not over 21, that drink alcohol is 0.5143.

3 0
3 years ago
What fraction of 2 hours is 20 minutes​
Delicious77 [7]

Answer:

The fraction is 1/6.

Step-by-step explanation:

In two hours, there are six 20 minute intervals. One interval of them would be 1/6.  

4 0
2 years ago
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