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2 years ago

What is the period? Please show work.

Mathematics

1 answer:

Sophie [7]2 years ago

3 0

Answer:

2πl/3

Step-by-step explanation:

find properties of the trigonometric function:

period 2π/3

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How many different 10-letter words (real or imaginary) can be formed from the letters of the word LITERATURE?

nordsb [41]

Answer:

The number of words that can be formed from the word "LITERATURE" is 453600

Step-by-step explanation:

Given

Word: LITERATURE

Required: Number of 10 letter word that can be formed

The number of letters in the word "LITERATURE" is 10

But some letters are repeated; These letters are T, E and R.

Each of the letters are repeated twice (2 times)

i.e.

Number of T = 2

Number of E = 2

Number of R = 2

To calculate the number of words that can be formed, the total number of possible arrangements will be divided by arrangement of each repeated character. This is done as follows;

Number of words that can be formed = $\frac{10!}{2!2!2!}$

Number of words = $\frac{10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{2 * 1 * 2 * 1 * 2 * 1}$

Number of words = $\frac{3628800}{8}$

Number of words = 453600

Hence, the number of words that can be formed from the word "LITERATURE" is 453600

8 0

3 years ago

Twice the product of the cube of a and the square of b

arlik [135]

For this case we have to rewrite the given expression algebraically:

the cube of a, is represented as: $a ^ 3$

the square of b, is represented as: $b ^ 2$

Thus, the product of both expressions is:

$(a ^ 3 * b ^ 2)$

And twice the product is represented as:

$2 (a ^ 3 * b ^ 2)$

Answer:

$2 (a ^ 3 * b ^ 2)$

6 0

3 years ago

Kevin is making a picture frame. He has a piece of trim that is 4 feet long.How many 14−inch-long pieces can Kevin cut from the

Lerok [7]

First, convert 4 feet into inches - 48 inches. Then, divide 48 by 14 to get 3.43, so he can have 3 14-inch long pieces. To get the left over out of a foot, take 14 x 3 to get 42, then subtract 42 from your original 48 inches to get 6 inches left, which is half of a foot.

7 0

3 years ago

Read 2 more answers

Help Asap pleaseeeee

True [87]

Answer:

$540

Step-by-step explanation:

2460 = 4x + k

1920 = 3x + k

k is our student service fee, which we represent as a constant

subtracting the equations to remove k and isolate x, our cost per course