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mario62 [17]
2 years ago
13

Find the product. Write your answer in exponential form. 8^-2•8^-9​

Mathematics
1 answer:
Alex2 years ago
3 0

Answer:

8 ^-11

Step-by-step explanation:

It should be noted that in this case, since it's the product that we want to get, it's important to add the power together. This will be:

8^-2 × 8^-9

= 8^(-2 + -9)

= 8^-11

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The population (in millions) of a certain country can be approximated by the
Agata [3.3K]

Answer:

year 2343

Step-by-step explanation:

The population (in millions) of a certain country can be approximated by the

function:

P(x) = (100)*1.02^(x)

where x is the number of years after 2000.

If we want a population of 300 million

300.10^6 = (100)*1.02^(x)

3.10^6 = 1.02^(x)

Which can be solved with a calculator or any computational tool. See attached pictures

The answer is

x = 342.804

2000 + 342.804 = 2342.804 ≈ 2343

4 0
3 years ago
A palindromic number is a number that reads the same forwards as it does backwards (example: 282 or 51715). How many 5-digit pal
Anuta_ua [19.1K]

Palindromes are numbers whose reverse is the same as the original number

There are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

<h3>How to determine the count of 4-digit palindromes</h3>

The digit of the palindromic number is 5.

This means that:

  • The first digit of the palindrome can be any of 1 to 7 (because 7 is half of 14)
  • The second digit can be any of 0 - 6 (i.e. 7 digits)
  • The third digit can be any of 9 digits
  • The fourth digit must be the second digit (i.e. 1 digit)
  • The last digit must be the first digit (i.e. 1 digit)

So, the total number of digits is:

Total = 7 + 7 + 9 +  1 +1

Total = 25

Hence, there are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

Read more about palindromes at:

brainly.com/question/26527765

8 0
2 years ago
A fireman is heading towards a forest fire and needs to know how far away the fire is. The person in the fire tower can determin
hjlf

Answer: 3.82 miles

Step-by-step explanation:

According to the shown figure, we can imagine the scene as a <u>right triangle</u>, where the tower is located at the right angle, and the fireman and the forest fire located at each of the other two vertices.

So, since we are dealing with a right triangle we can use the Pithagorean Theorem, in order to find the distance from the fireman to the fire d, which is also the hypotenuse.

d^{2}= (2.1 miles)^{2} +(3.2 miles)^{2}

d=\sqrt{(2.1 miles)^{2} +(3.2 miles)^{2}}

Finally:

d=3.82 miles

7 0
4 years ago
T_T I need big help
erma4kov [3.2K]

Answer:

D. The volume is the product of the area of the base, (2x - 1)(x - 3), and the height x + 4.

Step-by-step explanation:

Volume of a Rectangular Block: V = lwh

Since we are given variables <em>l</em>, <em>w</em>, and<em> h</em>, we simply plug them in:

V = (2x - 1)(x -3)(x + 4)

We can see that we would need to multiply all 3 to find our volume. Therefore, our answer is D.

6 0
4 years ago
Every cereal box has a gift inside, but you cannot tell from the outside what the gift is. The store manager assures you that 18
UkoKoshka [18]

Answer:

3/26

Step-by-step explanation:

Probability of the first box to have the secret decoder ring is 18 out of 52:

  • 18/52= 9/26

Probability of the second box to have the ring is 17 out of 51, because one box with the ring already selected and not counted:

  • 17/51= 1/3

Probability that both of them have the secret decoder ring:

  • 9/26*1/3= 3/26

<u>So the answer is</u> 3/26

4 0
3 years ago
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