All Answers 358168 Answers

Powers are numbers that are consist of a base and an exponent. To raise a base by an exponent you put the number of times you multiply the base on top.

For example, 2×2×2= 2³ 

The 2 is the base, which is the number you multiply by itself. The 3 is the exponent, which is the number of times you multiplied the base by itself.

Thx for the help

Yep....2 employees are wearing white shirts and 1 is wearing a purple one...

So there's three outcomes, right?

Perimeter = 4 sides        

                     Or

Perimeter = l + l + w + w

----------------------------------------------------

384 ÷ 4 = 96         <96 = l or w

96 ×96 = 9,216

Area = 9,216 cm²

You made a slight mistake......the radius should be cubed, not squared.....

I like it

S  =  { purple, white, white  }

The formula for the area of a triangle is:  A  =  (1/2) · base · height

The formula for the area of a parallelogram is:  A  =  base · height

Thus, if a triangle and a prarallelogram have the same sized bases and heights, the area of the parallelogram is twice the area of the triangle.

There are 3 feet in 1 yard; check with a google(r) search.

Let  w  represent weight,  n  represent the number of bags, and  k  be the constant of proportionality.

Thus:  w  =  k·n

Substituting,  3  for n and  36  for w:     36  =  k·3      --->     k  =  12.

You could also use  4  for n and  48  for w or  5  for n and  60 for w and get the same result.

Any number that ends with either a 5 or a 0 is divisible by 5.

23625 / 5  =  4725

360 / 5  =  72

Since the sum of the digits of 4725 is divisible by 9, 4725 is divisible by 9.

Also, since the sum of the digits of 72 is divisible by 9, 72 is divisible by 9.

4725 / 9  =  525

72 / 9  =  8

So:  23625 / 360  =  4725 / 72  =  525 / 8.

Thanks, -iiVoidRavenZ,......always happy to help  - if I know the answer.....LOL!!!!

We have a problem, here.......the diagonal of the  rectangle (actually, a square)  is 16√2  units which is greater than the diameter of the circle = 16 units

So.....the "rectangle" cannot sit inside the circle

Here's a pic :

Which "shaded" area are you referring to ????

I honestly do like the idea of privatizing roads and schools..

And I really dislike how the government automatically takes money from people's paycheck...because it hides the magnitude of how much money they really do take...

But like I said, it is a compromise. Maybe Coca-Cola uses some of their money to do things I disapprove of, but I still purchase it because the positives outweigh the negatives. (Coke is probably a really bad example here...)

But, at least in the US, you do have some say in what the government uses its money for. You can vote  on the people you want in office to make decisions. And you also have the choice to leave and try to find a better country. And you also have the choice to try to start a new one, like the South tried to do back in the ol 1800s...

But it definitely does seem like we don't have much say..but then again, we don't have that much say in Coca-Cola by choosing to buy or not buy a can of coke...it's just one vote out of a bunch.

The polynomial will have the form

P(x)  = Ax^3  + Bx^2  + Cx + D

And since (0, 0)  is in the graph   then

A(0)^3  + B(0)^2  + C(0) + D  = 0      so...... D  = 0

And we have these three equations

A(-1)^3  + B(-1)^2  + C (-1)  =  15   →       -A + B - C   =  15        (1)

A(1)^3   + B(1)^2  + C(1)  =  5   →             A  + B + C   = -5         (2)

A(2)^3  +  B(2)^2   + C(2)  =  12   →          8A  + 4B  +  2C   = 12  →  4A + 2B + C  = 6   (3)

Adding (1)  and (2)   we have that 2B   =  10      →  B  = 5

Using (2)  and (3)  and subbing for B we have

A + 5 + C  =  -5   →   A + C  = -10    →   C  = -10  - A     (4)

4A + 10 + C  =  6  →   4A + C = -4  →  C  = -4 - 4A  (5)

Set  (4)  and (5)  equal

-10 - A   =  -4 - 4A

3A  = 6

A  =  2

Using (4)

C = -10 -  (2)    

C  = -12

So.....the polynomial is

P(x)   =  2x^3  + 5x^2  -12x

The x intercepts can be found when P(x)  = 0

2x^3  + 5x^2  - 12x  = 0   factor

x (2x^2 + 5x^2  - 12)  = 0

x ( 2x  - 3) ( x + 4)   = 0

Setting each factor to 0 and solving for x the x intercepts are    -4,  0 and  3/2

Can we not just privatize things like roads and schools? I was born here. That wasn't my choice. I got a job and worked for money. Why does the government just start taking money from my paychecks? Maybe I do want some tax money to pay for schools, but I don't want it to pay for bombs that k**l innocent people I've never met. There's a big difference between voluntaryily handing over my money for a product I agreed to purchase and having it stolen from me and used for things I have no say in.