Answer:
So, 
Step-by-step explanation:

To evaluete this expression we apply exponential property

IF any expression has exponent 0 then the value is 1 always
for example, 

because exponent is 0
So, 
Answer: See explanation
Step-by-step explanation:
First and foremost, we should not that:
1 yard = 3 feet
We are informed that Wyatt uses 200 feet of rope for each doormat and that he wants to make 25 doormats.
The expression that shows a correct way to find how many yards of rope he needs will be:
= (200 × 25) / 3
= 5000/3
= 1666.67 yards
Answer:
C. Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number
Step-by-step explanation:
Rational function: In mathematics, the term "rational function" is determined as any specific function that can be described through any "rational fraction", in other words, an algebraic fraction, involving both the denominator and the numerator are considered as polynomials. Therefore, the coefficients of specific polynomials are ought not to be in rational numbers and can be considered in the K field.
In the question above, the given statement represents option C is correct.
Answer:
Step-by-step explanation:
The first box should be 20.
The second box should be 40
The third box should be .2
The fourth box should be .6
If

is odd, then

while if

is even, then the sum would be

The latter case is easier to solve:

which means

.
In the odd case, instead of considering the above equation we can consider the partial sums. If

is odd, then the sum of the even integers between 1 and

would be

Now consider the partial sum up to the second-to-last term,

Subtracting this from the previous partial sum, we have

We're given that the sums must add to

, which means


But taking the differences now yields

and there is only one

for which

; namely,

. However, the sum of the even integers between 1 and 5 is

, whereas

. So there are no solutions to this over the odd integers.