geno3141

There are two equal signs in you equation; could you re-write this?

It's a quadratic expression.

Do you want it factored?

Is it set equal to zero, and you want the answers?

Using the definition of logarithms, if ln(x) = 2.109, then x = e^2.109_.

In calculus you will learn that infinity times zero is an "indeterminate" expresion. This means that the answer depends upon the particular problem which created this situation. 

Depending upon the problem, in one case it might be infinity, in another case it might be zero, yet in another case it might be 16 (or any other number).

Simply stated, it does not have a simple answer.

The value of sin(x) is pinned between -1 and + 1. It can be -1 at 270° ± k·360° (where k is any integer).

It can be +1 at 90° ± k·360° (where k is any integer).

For all other values of x, sin(x) must be between these two values.

If you think back to a right triangle, sin is defined to be the length of the opposite side divided by length of the hypotenuse. In a right triangle, the opposite side cannot be longer than the hypotenuse, thus the value of sin can never by greater than 1.

The formula for the sum of an infinite series is:  Sum  =  a/(1 - r) provided that -1 < r <  1.

As r gets closer and closer to -1, the sum gets closer and closer to 4.5; so x can be 5 (if r = -4/5).

Two angles are supplementary angles if their sum = 180 degrees.

To find a z-score:     z-score  =  [score - average] / standard deviation

--->   z-score = [$29500 - $20300] / $3200 =  2.875

I don't know what your question is ...

Making even divisions:  30% - 35% - 40% - 45% - 50%

From 30% to 45% is three steps; from 50% to 45% is one step.

So, the 50% amount must be 3 times the 30% amount.

Check: let's say that the 30% profit was made on an item that cost $100.00 -->  profit = $30.00.

Then the 50$ profit was made on an itme that cost $100.00 x 3 = $300.00 --> profit = $150.00

Total cost ($100.00 + $300.00) = $400.00.

Total profit ($30.00 + $150.00) = $180.00

$180.00 / $400.00 =  0.45 = 45%

"the sum of a number and 7"  is  "x + 7"

So, "twice the sum of a number and 7"  is  2 · (x + 7)  =  2(x + 7)

"the difference of the number and 4"  is  "x - 4"  =  x - 4

The equation is:  2(x + 7)  =  x - 4

Multiply out:        2x + 14  =  x - 4

Subtract x from both sides:  x + 14  =  -4

Subtract 14 from both sides:  x  =  -18