Answer:
Step-by-step explanation:
Yes
The company would charge $837.50 to build the fence.
Installing a fence would cost $62.50 per hour.
It will take 13²/₅ hours to install this fence.
The cost would be:
<em>= Cost per hour x Number of hours taken </em>
Number of hours it would take should be converted to improper fraction to be multiplied:
13²/₅ = 67/5 hours
Cost is:
= 62.50 x 67/5
= $837.50
In conclusion, it would cost $837.50 to build the fence.
<em>Find out more at brainly.com/question/14652608. </em>
Let "a" and "b" be some number where:
a - b = 24
We want to find where a^2 + b^2 is a minimum. Instead of just logically figuring out that the answer is where a=b=12, I'll just use derivatives.
So we can first substitute for "a" where a = b+24
So we have (b+24)^2 + b^2 = b^2 +48b +576 + b^2
And that equals 2b^2 +48b +576
Then we take the derivative and set it equal to zero:
4b +48 = 0
4(b+12) = 0
b + 12 = 0
b = -12
Thus "a" must equal 12.
So:
a = 12
b = -12
And the sum of those two numbers squared is (12)^2 + (-12)^2 = 144 + 144 = 288.
The smallest sum is 288.
It would be equal i think
It's a big alphabet, why confuse us with N and n?
Anyway, this one is a bit easier than it looks. We're going to look at it mod 11, meaning we're only interested in the remainders when we divide by 11. The nice thing about multiplication and addition is if we're going to take the remainder at the end, we can also take the remainders at the beginning and along the way and get the same answer, with smaller numbers.
That all sounds very complicated. It's easier explained.
100 =9*11 +1 so has remainder 1 when divided by 11. So if we multiply by 100 that's not going to change the remainder when we divided by 11; it's like multiplying by 1.
So 100, 100^2, 100^3, etc all have remainder 1 when divided by 11. So we need to add up 11 of them to get a number that's divisible by 11.
Answer: 11
