3 to the 3rd power times 3 to the second power times 3 to the first Power times 3 to the 0 power times 3 to the negative 1 power times 3 to the negative 2 power

Answers

Answer 1
Answer: 3^3\cdot3^2\cdot3^1\cdot3^0\cdot3^(-1)\cdot3^(-2)=3^(3+2+1+0+(-1)+(-2))=3^3=27\n\nUsed:a^n\cdot a^m=a^(n+m)

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What ratio is equvalent to 6 over 12​

Answers

Hello from MrBillDoesMath!

Answer:

1/2

Discussion:

6/12 =                            => as 12 = 6*2

6 /( 6*2)  =                      => cancel 6's in num and denom.

1/2

Thank you,

MrB

The two longer sides of a triangle Measure 16 and 22 which of the following is a possible link of the shortest side

Answers

the two longer sides of a right angle triangle are 16 and 22
let 22 be the hypotenuse (the longest side)
use Pythagoras Therom a²+b²=c²
in this question c=22 and b=16
to find the shortest side
22²-16²=a²
484-256=a²
228=a²
a=√(228)
a= 15.1

The formula a2xb2=c2 will help with this problem.

The longest sides, so the longer one is c2. the next is either a2 or b2. 2, in this case, is an exponent, so we multiply the number by itself.

So, a2+(16x16)=(22x22)

16 times 16 is 256. 22 times 22 is 484.

a2+256=484. 484-256 will leave you a2. Then, 484-256=228. Since a2 is still squared, you need to find the square root of 228. (which is about 15.1)

So of your answer choices, if it is among them, choose 15.


Hope I helped!!!!


A relation is given. {(3, 4), (0, 1), (4, -6), (2, 17)}

Write the domain and range.

A) Domain: {3, 0, 4}; Range: {4, 1, -6}

B) Domain: {3, 0, 4, 2}; Range: {4, 1, -6, 17}

C) Domain: {3, 0, 4, 2}; Range: {4, 1, 17}

D) Domain: {4, 1, -6, 17}; Range: {3, 0, 4, 2}

Answers

The domain is the x coordinates, while the range is the y coordinates. 

B) Domain: {3, 0, 4, 2}; Range: {4, 1, -6, 17} 

This choice is correct because the domain is shown as the x values, and range is the y value, 

jake has a sheep farm to the nearest ten he has 540 sheep the sum of the digits is 11 how many sheep could jake have?

Answers

Answer:

Total number of sheep Jake have = 542.

Step-by-step explanation:

Jake has number of sheep = 540 (rounded to the nearest ten).

As per rule, "we round the number down to the nearest ten if the last digit of the number is between 0 to 5".

So the number of sheep with Jake may be between 540 to 545.

It is also given in the question that the sum of digits of the number is 11, so the number will be,

5 + 4 + x = 11     (Here x = last digit of the number)

9 + x = 11

x = 11 - 9

x = 2

Therefore, total number of sheep with Jake is 542.

Paul is three times as old as Mary and Peter is four times as old as Mary,If the sum of their ages is 64, how old are Peter,Paul,and Mary.

Answers

Let Mary's age be x.

Paul is three times as old as Mary, so Paul's age would be 3x.

Peter is four times as old as Mary, so Peter's age would be 4x.

The sum of their ages is 64
⇒ Paul's age+ Peter's age+ Mary's age= 64
⇒ 3x+ 4x+ x= 64
⇒ 8x= 64
⇒ x= 64/8
⇒ x= 8

Paul's age is: 3x= 3*8= 24

Peter's age is: 4x= 4*8= 32

Final answer: Paul is 24 years old.
Peter is 32 years old.
Mary is 8 years old.

Hope this helps~

Eighteen increased by x

Answers

Answer:

Answer is 18x

Answer:

18 + x

Step-by-step explanation:

Eighteen increased by x

18 increased by x means

that  x is added to 18

= 18 + x