Ziggy

The formula for the surface area of a sphere is given by 4pi*r^2, where r is the radius. We also know that the diameter of the sphere is 12 units, so its radius is 12/2 = 6 units. Thus, we can conclude that the surface area of that sphere is 4pi*36, which is about 452 units, or B. 

Here's a hint on how to do the problem: 

First, plug in the number 6 into f(6) and then use a similar technique to solve for f(10) and f(15) (Plug in 10 and 15 into f(x) to find f(10) and f(15)). Then, plug in the values of f(6), f(10), and f(15) into S and compute S. Lastly, divide S by 30 and you should get the answer.  

Note: I believe that you can probably do this problem with a little help, so I'm not going to write down the answer.

Here's another solution:

3^x = 5 can be written as log₃(5) = x and 5^y = 9 can be written as 2*log₅(3) = y. Thus, xy is just log₃(5)*2*log₅(3) = 2*1 = 2. 

The second graph is shifted three units to the right from the graph of y = f(x), so the equation of the second graph would be y = f(x - 3).

We can simplify the problem by doing 4*9*3*6 = 648, so the answer is 8.

I guess it's because marshlands will temporarily store water and then slowly release it so that there won't be too much water at once in a nearby town. Also, this isn't the kind of place to ask science questions.

Yay! I made an account!

Hi! I'm not sure about the answer, but I tried to do your problem.  Here's my solution:

First, take the square root of both sides to get +- x^2 = 2i. Then, you will get two cases:

Case #1; x^2 = 2i: We take the square root of both sides of the equation x^2 = 2i to get +- x = 1 + i. Thus, x can be either 1 + i or -1 - i in this case.

Case #2; -x^2 = 2i: We move the terms in the equation around to get x^2 = -2i. Then, taking the square root of both sides, we get

+-x = 1 - i. Therefore, this case yields the solutions x = 1 - i and x = -1 + i.

In the end, all of the complex numbers z such that z^4 = -4 are 1 + i, -1 -i, 1 - i, and -1 + i.