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4 years ago

PLEASE HELP

1 answer:

4 0

Correct Answer: Option A

The next step in simplification will be to convert the squared term so that it no longer contains a square.

So, we are to simplify the term $cos^{2}(2x)$

Using the half-angle identity we can write:

$cos^{2}(2x)= \frac{1+cos(4x)}{2}$

Using this value, the equation becomes:

$sin^{4}x=1-2cos(2x)+ \frac{ \frac{1+cos(4x)}{2} }{4}$

Therefore, option A is the correct answer.

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Bobby decides to sell lemonade on a hot summer day. If Bobby sells 20 glasses of lemonade for $0.20 per cup, and his average tot

borishaifa [10]

Answer:

Bobby's economic profits for the day is $0.60.

Step-by-step explanation:

Bobby sells 20 glasses of lemonade for $0.20 per cup.

Amount earned = $20\times0.20=4$ dollars

The average total cost is $0.17.

So, difference in selling amount and average = $0.20-0.17=0.03$ dollars

Therefore, Bobby's economic profits for the day is = $20\times0.03=0.60$ dollars

Hence, the answer is $0.60.

5 0

4 years ago

Each of the letters in the word APPLE is on separate cards, face down on the table. If you pick a card at random, what is the pr

Lina20 [59]

Probability =

(number of possible ways to succeed)
divided by
(total number of possible outcomes) .

Number of ways to succeed = 2 (pick the 'A' or the 'L')

Total number of possible outcomes = 5 (the cards on the table) .

Probability of success = 2/5 = 40% .

5 0

4 years ago

The ages of two sisters are consecutive even integers. Twice the age of the youngest exceeds the oldest by 8. How old is the you

dezoksy [38]

Answer:

10 years old

Step-by-step explanation:

Let's say the age of the younger sister is x. Then the age of the older sister must be x + 2 because the ages are consecutive even numbers.

"Twice the age of the youngest exceeds the oldest by 8" means that we multiply x by 2 and set that equal to (x + 2) + 8:

2x = (x + 2) + 8

2x = x + 10

x = 10

So, the youngest sister is 10 years old.

8 0

3 years ago

Read 2 more answers

The population P of a certain city can be modeled by P=19000e0.0215t where T represent the number of years since 2000. When t=1

8090 [49]

Answer:

Step-by-step explanation:

The population P of a certain city can be modeled by

P=19000e0.0215t

where T represent the number of years since 2000.

When t=1 the year is 2001

when t =2 the year is 2002. This means that

When t=0 the year is 2000

To determine the year when the population will be 40,000 , we will substitute P = 40,000 and solve for t. It becomes

40000 = 19000e^0.0215t

40000 / 19000 = e^0.0215t

2.105 = e^0.0215t

Take ln of both sides

0.7443 = 0.0215t

t = 0.7443/0.0215

t = 34.62

Approximately 35 years

So the year will be 2035

6 0

3 years ago

What method of choice do you use to solve 8x+5y=-13 and 3x+4y=10

nordsb [41]

Answer:

y = 17, x = -12.25

Step-by-step explanation:

Elimination method is preferred.

Refer to attachment.

Hope it helps.

4 0

2 years ago