Answer: 332 cubic inches
Step-by-step explanation:
You can eliminate 69 and 99 as those answers don't make any sense. This leaves you with 703 and 332.
It says the wall of the pipe is 1.25 inches thick so you multiply that by 2 and subtract it by the diameter to get the insider diameter of 5.5
Now you just use the equation V = (3.14)(r^2)(14) where the radius is half of 5.5.
So to finalize the equation you get V = (3.14)(5.5)^2(14) which comes out to 332 cubic inches
Okay. 3/4 of a cup of maple syrup is filled in 1/2 an hour. We can divide fractions to find the rate that the tree runs out syrup. To divide fractions, keep the first fraction the same, change multiplication into division, and flip the second fraction over. It would look like this: 3/4 * 2/1. 3/4 * 2/1 is 6/4 or 1 1/2 in mixed number form. Syrup flows from the tree at 1 1/2 cups per hour.
Step-by-step explanation:
In order to rewrite an expression in radical form using exponents, we must consider the power of the root (is the radical the typical square root, cubed root, etc) and the value of any exponents contained in the radical.
Using this information, we will make the power of the radical the denominator of our exponent, and whatever exponent is contained in the radical will become the numerator.
Example:√(x³) = square root of x³ = x^(3/2)
Hopefully this is what you need!
The three numbers are 23, 161, and 123.
If x=3+bi, then
You know that 
then
Two possible complex numbers satisfy these conditions:
As you can see the possible value of b is 2.
Answer: correct choice is A.
