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3 years ago

Evaluate log3^8, given log3^2 is equivalent to 0.631

Mathematics

1 answer:

elixir [45]3 years ago

7 0

We will use the followin property of logarithms:

$log(a^b) = b log(a)$

So, we have

$log(3^2) = 2 log(3) = 0.631$

If you multiply both sides by 4, you get

$8log(3) = log(3^8) = 2.524$

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During an Apollo moon landing, reflecting panels were placed on the moon. This allowed Earth-based astronomers to shoot laser be

rusak2 [61]

Answer:

The distance between the astronomers and the moon was $7.56*10^{8]$ meters.

Step-by-step explanation:

We have that the speed is the distance divided by the time, so:

$v = \frac{d}{t}$

In this problem, we have that:

The reflected laser beam was observed by the astronomers 2.52 s after the laser pulse was sent. This means that $t = 2.52$ .

If the speed of light is 3.00 times 10^8 m/s, what was the distance between the astronomers and the moon?

We have that $v = 3*10^{8}$ m/s.

We have to find d. So:

$v = \frac{d}{t}$

$d = vt$

$d = 3*10^{8}*2.52$

$7.56*10^{8]$

The distance between the astronomers and the moon was $7.56*10^{8]$ meters.

7 0

3 years ago

The admission fee at amusement park is $1.50 for children and $4 for adults on a certain day 355 ppl entered the park and the ad

antoniya [11.8K]

Answer:

180 children and 175 adults

Step-by-step explanation:

Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.

The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity 4* (355-x)= 1420 -4x

If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)

1.5x+ 1420-4x= 970

1420-2.5x= 970

x=180- children

355-180=175adults

5 0

3 years ago

What is the first step when applying properties of operations to divide 73.85 by 4.1?

Alchen [17]

Answer:

B. Multiply the divisor and dividend by 100.

Step-by-step explanation:

Multiply by 100 to get rid of the decimal

5 0

3 years ago

Of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees

icang [17]

The conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.

Given that of all postsecondary degrees awarded in the United States, including master's and doctorate degrees, 21% are associate's degrees, 58% are earned by people whose race is White, and 12% are associate's degrees earned by Whites, to determine what is the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, the following calculation should be performed:

A cross multiplication must be applied to obtain the percentage of whites who have obtained an associate degree.
21 = 100
12 = X
12 x 100/21 = X
1200/21 = X
57.14 = X

Therefore, the conditional probability that a degree is earned by a person whose race is White, given that it is an associate's degree, is 57.14%.

Learn more in brainly.com/question/795909

5 0

2 years ago

The sum of q and 5 whoever answers this please explain and answer

jok3333 [9.3K]

Answer:

It will be "q+5"

Step-by-step explanation:

When you add a number and a letter you just leave them like that. If you would to have a number multiplying a letter like "5q" and something else like "3q" when you add them together you will get "5q+3q=8q" In this case you can add them together because the number is multiplying the letter.

7 0

3 years ago