The formula for a cylinder is πr²*h where r is the radius and h is the height:
1.) Plug in r for 4, as the radius is 4
π(4)²*h
2.) Plug in h for 8, as the height is 8
π(4)²*8
3.) Simplify 4²
π(16)8
4.) Simplify 16*8
π128
5.) Don't forget your units, inches cubed (because you multiplied three dimensions all with inches, which results in the inches being multiplied three times as well)
π128 in³ or 128πin³
It is the third answer choice, hope this helped :)
First we'll do two basic steps. Step 1 is to subtract 18 from both sides. After that, divide both sides by 2 to get x^2 all by itself. Let's do those two steps now
2x^2+18 = 10
2x^2+18-18 = 10-18 <<--- step 1
2x^2 = -8
(2x^2)/2 = -8/2 <<--- step 2
x^2 = -4
At this point, it should be fairly clear there are no solutions. How can we tell? By remembering that x^2 is never negative as long as x is real.
Using the rule that negative times negative is a positive value, it is impossible to square a real numbered value and get a negative result.
For example
2^2 = 2*2 = 4
8^2 = 8*8 = 64
(-10)^2 = (-10)*(-10) = 100
(-14)^2 = (-14)*(-14) = 196
No matter what value we pick, the result is positive. The only exception is that 0^2 = 0 is neither positive nor negative.
So x^2 = -4 has no real solutions. Taking the square root of both sides leads to
x^2 = -4
sqrt(x^2) = sqrt(-4)
|x| = sqrt(4)*sqrt(-1)
|x| = 2*i
x = 2i or x = -2i
which are complex non-real values
Answer:
19 batches
Step-by-step explanation:
Given that:
Total number of cups of sugar =
Amount of sugar used in one batch =
Number of batches that can be made by Tyra with the amount of sugar that is available with Tyra can be calculated by dividing the total number of cups of sugar available with Tyra with the amount of sugar to be used in one batch.
i.e.
Number of batches =
Also, if we put the value:
We have to find the number of batches of cookies that can be made by Tyra.
Solution:
First of all, let us have a look at the formula to convert the mixed fraction into fractional number.
Therefore,
Number of batches:
Therefore, 19 batches can be completed.
E. None, since none of the numbers are repeating (which is how you find the mode)