Answer:
Step-by-step explanation:
Summation means that you are adding together all the numbers that result from putting in the numbers 5-11 for i:
(-7 - 6(5)) + (-7 - 6(6)) + (-7 - 6(7)) + ( -7 - 6(8)) + ( -7 - 6(9)) + ( -7 - 6(10)) + ( -7 - 6(11)) which gives you the numbers:
-37 + -43 + -49 + -55 + -61 + -67 + -73 = -385
Answer: 15 1/2
Step-by-step explanation: There are two 1/2 s so 1/2 + 1/2 is 2/2 or 1 whole. Next is 1. There are 4 ones. 1+1+1+1 = 4. There is one 1 1/2. There are two 2. 2+2 is 4. There are two 2 1/2 so 2 1/2 + 2 1/2 is 4 2/2 which is 5. Now you have to add all the answers together. 1 +4+ 1 1/2 +4+5 which is 15 and 1/2. 15 1/2 is the answer.
Answer:
The number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
Step-by-step explanation:
We need to find the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E.
There are 9 letters in the word WONDERFUL
There is a condition that letter R is always next to E.
So, We have two letters fixed WONDFUL (ER)
We will apply Permutations to find ways of arrangements.
The 7 letters (WONDFUL) can be arranged in ways : ⁷P₇ = 7! = 5040 ways
The 2 letters (ER) can be arranged in ways: ²P₂ =2! = 2 ways
The number of ways 'WONDERFUL' can be arranged is: (5040*2) = 10,080 ways
So, the number of ways the arrangements can be made of the letters of the word'WONDERFUL' such that the letter R is always next to E is 10,080 ways
Here's how you simplify those. The rule for raising an exponent to an exponent is that you multiply them. The rule for dividing exponents with the same base is that you subtract the denomonator from the numerator. So let's simplify the first one, which is actually the most confusing.

Multiplying the exponents you get:

Subtracting the denominator from the numerator between the common base of p you get this:

Doing that math gives you

which equals

which is

, or the third one down.
The next one:

simplifies to:

and subtracting the power of the denominator from the power of the numerator gives you:

, which is the last choice.

simplifies to:

which simplifies very nicely to:

, which is the first choice. The other one is found by process of elimination!
I have attached the choices given for this question
Answer:measure angle XDC = 90 degrees
Explanation:The term "perpendicular" implies that the angle formed between the two lines is 90 degrees.
These two lines do not have to be equal in length, they just intersect forming a 90-degree angle.
Comparing the explanation with the given choices, we would find that the only correct choice is:
measure angle XDC = 90 degrees
Hope this helps :)