Step-by-step explanation:
3 - (9 \times 36 \times 36)
3 - (324 \times 36)
3 - (11664)
= (11661)
Answer:
A. less than three batteries were used in five hours.
Using the diagonal dimension and the height we can solve for the diameter of the cylinder using the Pythagorean theorem.
x^2 + 9.5^2 = 19.3^2
x^2 + 90.25 = 372.49
x^2 = 372.49 - 90.25
x^2 = 282.24
x = √282.24
x = 16.8
Now we know the diamteer and height, we can calculate the volume using the formula V = pi * r^2 * h
r = 1/2 the diameter = 16.8/2 = 8.4
using 3.14 for pi
Volume = 3.14 * 8.4^2 * 9.5
V = 3.14 * 70.56 * 9.5
v = 3.14 * 670.32
v = 2104.8 cubic meters
Answer:
A number less than 25 is 24 or below that.
Step-by-step explanation:
Hope this helps! Not sure if this is what you need but I hope it is
Answer:
Step-by-step explanation:
You need to complete the square.
C(x) = 0.02(x^2 - 1000x ...) + 11000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 11000 - 5000
C(x) = 0.02 (x^2 - 1000x + 500^2) + 6000
C(x) = 0.02(x - 500)^2 + 6000
Now if you look at the answer you will find that the square is completed. That means that number of tractors you could produce is 500 at a cost of 6000
There is a flow to this question that you may have trouble understanding.
First of all the 500^2. That comes from taking 1/2 of 1000 and squaring it. That's what you need to complete the square.
Bur that is not what you have adding into the equation. Remember that there is a 0.02 in front of the brackets.
500^2 = 250000
0.02 * 250000 = 5000
So that number must be subtracted to make the square = 0. When you remove the brackets, you should get 11000 all in all.
So what you have outside the brackets is 11000 - 5000 = 6000
The rest is just standard for completing the square.