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So, what is the question?

what is cos40=500/x

Cos(40)=500/x

0.7660=500/x

x=500/.766

x=652.74

Use a carrot (shift+6) before the number you want to raise. Example: 2 to the third would be written as 2^3

No. Think about numbers as representing distances from the origin. Positive numbers would go off in one direction and negative numbers the other. By this logic, -0 would be redundant and unnecesary. 

ABC

Beer is good food.        Water yeast grains and hops.

7² x 3.14 x 8

7² = 49  because 7x7 is 49

49x3.14x8 = 1230.88 but when rounded it is 1231

How can I display the result in scientific format ? ( 6.5*10^-9) ty !

It is ALREADY in scientific notation!!!.

the height of a new library is going to be 37ft.If the height of the library in a scal draw is 6in, what is the scale used.

37 X 12=444 inches

444/6=74, so the scale is: 74 to 1.

Assuming you are neglecting friction, it does not matter what angle the incline is, the work of raising the coaster to the same height from the same beginning height will be THE SAME.  

We'll need a diagram of DFGH.....those could be points on a circle for all we know !

linear

2y=6x-18

y=3x-9

First, let's get it into 'standard' form:

-6x + 2y = -18

Add 6x to both sides:

2y=6x-18

Divide both sides by 2

y=3x-9                         Do you recognize this form?   Remember  y = mx + b    ?    This form is the equation of a LINE

No terms are 'squared'....In other words, no pieces of the equation have an EXPONENT, so it is NOT EXPONENTIAL ....   Cool?

5 and 1 half percent divided by $20

5.5% / 20=(5.5/100) / 20=.055 / 20=0.00275

Is 5:6  proportional to 12:15   or

  Is   5/6 ~ 12/15

     CROSS MULTIPLY to find out

         Does   5 X 15 = 12 x 6  

                       75 = 60?     No, they are not equal and these are not proportional

determine whether the ratios are proportional.

5 over 6 and 12 over 15 yes or no

No, they are NOT proportional. Why? Because 5/6 DOES NOT equal 12/15.

5/6=0.833.....           12/15=.8

Yes, I do.   If I eat two 10" circular waffles with no butter or syrup then I jog for 4 miles , what is my net caloric gain(loss) if I weigh 185 pounds?

Solve for g:
17.9 g+18.45 = 16.2 g+0.29

17.9 g+18.45 = (179 g)/10+369/20 and 16.2 g+0.29 = (81 g)/5+29/100:
(179 g)/10+369/20 = (81 g)/5+29/100

Subtract (81 g)/5+369/20 from both sides:
(17 g)/10 = -454/25

Multiply both sides by 10/17:
Answer: | 
| g = -908/85

There are infinite possibilities here because no slope is specified.

The equation of a line in standard form is  y = mx + b     where m=slope.

For this ONE poinnt     the equation looks like     -5 = m(-4) -1    or   y = x -1   for a slope of 2  it looks like  -5 =(2) (-4) + 3  or y = mx - (5+mx)

                                                                                                                                                 3                      -5 =(3)(-4) + 7

                                                                                                                                                 4                      -5=(4)(-4)  + 11

SO the only thing I can tell you is the equation of any line through that point is   y = mx - (5+mx)    where m = slope 

Since 8 will go into 24 evenly, they BOTH will go into ANY multiple of 24    :       24 48 72 96 etc....

you can mulitply them together 8*24 = 192 inless you mean wath both goes in 24 and 8 you divide them 24/8 = 3

it's already in decimal form you can put in a fraction like (456/1) 

9+10 = 19

it is the sign that looks like this / or you divide them together