AnswerscorrectIy

The coefficient of x^2 is 17.

The value of h(h(7)) is 5.

Here is how you can calculate it:

(3 + 2i)/(1 - i) = (3 + 2i)(1 + i)/(1 - i)(1 + i)

= (3 + 2i + 3i + 2i^2)/(1 - i^2)

= (3 + 2i + 3i + 2)(1 - (-1))

= (5 + 5i)/2

The value of P(11) is -11.

1. Find the formula for the sum of an arithmetic series:

The sum of an arithmetic series can be found using the formula:

Sum = (n/2) * (first term + last term)

where:

n = number of terms

first term = 2

last term = 2 + 5(n-1) = 5n - 3

2. Set up the inequality:

We want to find the 'n' where the sum exceeds 1000:

(n/2) * (2 + 5n - 3) > 1000

(n/2) * (5n - 1) > 1000

5n^2 - n > 1000

5n^2 - n - 1000 > 0

3. Solve the quadratic inequality:

Use the quadratic formula to find the roots of 5n^2 - n - 1000 = 0

n = [1 ± √(1 + 4 * 5 * 1000)] / (2 * 5)

n ≈ 28.3 or n ≈ -28.2

Since 'n' represents the number of terms, it must be positive.

Therefore, n > 28.3

4. Find the last number Laverne says:

Last term = 5n - 3

Since n > 28.3, the smallest integer value for 'n' is 29.

Last term = 5 * 29 - 3 = 142

Answer:

Laverne says the number 142 that sends Shirley screaming and running.

The answer is MB/MC = 6/5.

The smallest possible value of RX is 15.

The area of triangle ABC is 10*sqrt(3).

To solve this problem, we need to consider the transformations that can move point P to each vertex exactly once.

The value of k in the probability $\frac{k}{11^6}$ can be calculated as follows:

There are 6! = 720 ways to arrange the six vertices in a sequence.

For each sequence, we need to count the number of ways to choose transformations that achieve that sequence:

The first transformation can be any of the 11 that moves P to the first vertex in the sequence.

The second transformation must be one of the 2 that moves the current position to the second vertex.

Each subsequent transformation also has 2 choices to move to the next vertex.

Therefore, for each sequence, there are 11 * 2^5 = 352 ways to choose the transformations.

The total number of favorable outcomes is thus 720 * 352 = 253,440.

Therefore, k = 253,440.