MATHEMATICS MIDDLE SCHOOL

the powers of 2 that are in the range 2 through 1,000 are 2,4,8,16,32,64,128,256,&512 .what does that mean and it said find all the powers of 3 that are in range 3 through 1,000

im so confused

Answers

Answer 1

Answer:

Answer:

the powers of 2 that are in the range 2 through 1,000 are 2,4,8,16,32,64,128,256,&512.

" This means that we are asked to find the value of $2^n$ for each n belonging to natural numbers.

Now we will stop our approximation when the value exceeds 1000.

i.e. the range is from 2-1000 ".

since the next number after 512 is 512×2=1024 which exceeds 1000. hence our successive approximation will stop at 512.

similarly for the powers of 3 i.e. $3^n$

We will start writing our approximation and stop when it will exceed 1000.

i.e. $3, 3^2=9,3^3=27,3^4=81,3^5=243,3^6=729$

i.e. the sequence is: 3,9,27,81,243,729.

We stopped at 729 because the next number in the series would be:

$3^7=2187$

which exceeds 1000.

Answer 2

Answer: It means you need to find every power of 3 that are in the range of 3-1000 - the power is the number that says how many times you multiply the original number by itself
So 3 to the 1st power is 3 = 3
3 to the 2nd power is 3X3 = 9
3 to the 3rd power is 3X3X3 = 27
And so on... Hope I helped!

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Combine the like terms of 4x2-3x+7-2x-5

Answers

The answer would be 4x^2-5x-2

What is the answer to 9a-3{a-6}=-6

Answers

9a-3(a-6)=-6
9a-3a+18=-6
6a+18=-6
-18 -18
6a = - 24
/6. /6
A= -4

$9a-3(a-6)=-6$

$9a-3a+18=-6$

$6a+18=-6$

$6a=-6-18$

$6a=-24$

$a=-24/6$

$a=-4$

What is the answer to this equation 13-3/2x=34

Answers

If you would like to solve the equation 13 - 3 / 2 * x = 34, you can do this using the following steps:

13 - 3 / 2 * x = 34
13 - 34 = 3 / 2 * x
- 21 = 3 / 2 * x /* 2/3
x = - 21 * 2 / 3
x = - 14

The correct result would be - 14.

First, multiply both sides by 2 to get rid of the fraction.
2(13-3/2x=34)
26-3x=68
-26 -26 isolate x

-3x=42
÷-3 ÷-3 isolate x

x = -14

Hope this helps!

If 28% of a sum is 100.80 what is the sum

Answers

$360.00*.28= 100.80

Or do a portion

28%/100%=100.8/x

Then cross multiply

10080=28x

x=360

Descirbe One way to use a line plot

Answers

A line plot is a graph that shows frequency of data along the line

At the theater, one section of seats has 8 rows with 12 seats in each row. In the center of each of the first 3 rows are 4 broken seats that cannot be used. How many seats can be used in the section?

Answers

92 because 8*12 is 96. Then, you have to do 96 - 4 which is 92.

Final answer:

Initially, we have 96 seats in the theater. However, due to 12 broken seats in the first 3 rows, 84 seats are usable.

Explanation:

To answer this question, we will use simple multiplication and subtraction techniques of Mathematics. This is about calculating the number of workable seats in a theater.

First, we need to calculate the total number of seats in the theater. There are 8 rows with 12 seats in each row. We multiply the number of rows by the number of seats in each row: 8 rows * 12 seats/row = 96 seats.

In the first 3 rows, there are 4 broken seats in each of these rows. We need to subtract these from the total number of seats: 3 rows * 4 broken seats/row = 12 broken seats.

Finally, we subtract the number of broken seats from the total number of seats to find out how many seats can be used: 96 seats - 12 broken seats = 84 usable seats.