What is Log 32 (16)= 4/5 in exponential form

Mathematics

1 answer:

MissTica3 years ago

8 0

Answer:

32^(4/5)=16

Step-by-step explanation:

Log base a (b)=c

a^c=b

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A hiker standing at point G wants to estimate the distance across the lake to point H, which is directly north of her location.

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

The diagram is attached.

Looking at the diagram, we want the side "opposite" of the angle given and the side "adjacent" is given.

Which ratio relates opposite and adjacent? It is Tan.

We can use trigonometry and tan ratio to solve for the distance "x":

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D is the correct answer.

5 0

3 years ago

From a group of 8 volunteers, including Andrew and Karen, 4 people are to be selected at random to organize a charity event. Wha

Ede4ka [16]

Answer:

D. 2/7

Step-by-step explanation:

The probability is calculate as a division between the number of ways in which Andrew will be selected and karen will not and the total ways in which they can select 4 people from a group of 8 volunteers.

The number of ways in which they can select 4 people from a group of 8 volunteers can be calculated using:

$nCk=\frac{n!}{k!(n-k)!}$

Where nCk give as the number of ways in which we can form groups of k elements from a group of n elements.

So, if we replace n by 8 and k by 4, we get:

$8C4=\frac{8!}{4!(8-4)!}=70$

Then, there are 70 ways to select 4 people from a group of 8 volunteers.

At the same way, the number of ways in which Andrew will be selected and karen will not can be calculate replacing n by 6 and k by 3 in the same equation as:

$6C3=\frac{6!}{3!(6-3)!}=20$

We replace n by 6 because from the 8 volunteers, Andrew is going to be selected and Karen will not, so, the people that affect the result are just the 6 remaining volunteers. Also, k is equal to 3 because Andrew is already selected and we just need to select 3 more people.

Finally, the probability is:

$P=\frac{20}{70} = \frac{2}{7}$