MATHEMATICS HIGH SCHOOL

Evaluate 5y1-y0 if y=-8

Answers

Answer 1
Answer:

Answer:

-40

Step-by-step explanation:

5*(-8)*1-(-8*0)

-40+0

-40

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1/5 x (6 x 4) answer now....
Prove: sin θ - sin θ•cos2 θ = sin3 θ. You must show all work.
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation(4,2) ; x=-3.A. y=2B. y=2x+4C. y=4xD. x=4

It is estimated that approximately one-half of all aluminum cans will be recycled each year. If a soft drink company produces 350,000 cans one year, how many cans are still in use after 4 years of recycling and re-using, using this function? Nt = 350,000(0.52)t

Answers

The answer to the question above is calculated by substituting 4 to variable t of the given function. 
                                       Nt = 350,000(0.52)(4)

The substituted function gives an answer of 728,000. Therefore, with the given condition of recycling, about 728, 000 cans can still be used. 

Answer

Step-by-step explanation:

Simplify showing all steps:
4i( (1)/(2)i)^2(-2i)^2

Answers

we know that i=√-1
so we do pemdas
(1)/(2) i=( √(-1) )/(2)
exponents
( ( √(-1) )/(2) )^(2)= (( √(-1) )^(2))/(2^(2))=(-1)/(4)
then (-2i)^(2)=-2 times -2 times i times i=4 times -1=-4
now we have

4i( (-1)/(4) )(-4)=( (-4i)/(4) )(-4)=( -i)(-4)=4i=aprox 4√-1

the answer is 4i

Josephine noticed that out of 10 e-mails she received, 7 were advertisements. What can she predict about the number of advertisements she will receive in the next 100 e-mails?

Answers

Josephine will receive approximately 70 advertisements in the next 100 e-mails she receives.

What is the probability?

The possibility of an event in time is known as probability in mathematics. How frequently does the incidence occur over the course of a specific time period, in plain English?

If Josephine received 7 advertisements out of 10 e-mails, then we can say that the probability of receiving an advertisement in a single e-mail is 7/10 or 0.7.

Assuming that the probability of receiving an advertisement in an e-mail remains the same for all e-mails, we can use this probability to make a prediction about the number of advertisements she will receive in the next 100 e-mails.

The expected number of advertisements in 100 e-mails can be calculated by multiplying the probability of receiving an advertisement in a single e-mail by the total number of e-mails:

Expected number of advertisements = probability of an advertisement x total number of e-mails

= 0.7 x 100

= 70

Therefore, based on the given information, we can predict that Josephine will receive approximately 70 advertisements in the next 100 e-mails she receives.

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She can expect 70 to be ads since there is 10 times more emails so 7 times 10 is 70 so 70 ads

Sarah is the president of the drama club and wants to publish a newspaper. Expenses are $.90 for printing and mailing each copy, plus $600 total for research and writing. The price of the newsletter is $1.50 per copy. How many copies of the newsletter must the club sell to break even?. . a. To break even, the drama club must sell 1000 copies. . b. To break even, the drama club must sell 100 copies. . c. To break even, the drama club must sell 250 copies. . d. To break even, the drama club must sell 444 copies. .

Answers

Let: x = number of copies sold

We can formulate the following equation to solve for x:

1.50x - 0.9x - 600 = 0

x = 1000

Therefore, the club must sell 1000 copies to break even. Among the choices, the correct answer is A. 

Consider the population of florida , the area of colorado, and the flight time from philadelphia to san francisco, which of these has a value that varies.

Answers

Answer:

the population of Florida

Step-by-step explanation:

A value that varies means a value that shall change over a period of time.

Accordingly when we talk about population the population shall increase or decrease with time, as this the natural thing that new babies are born and at the same time people also die.

Even in Florida there will be new babies who are born and also there shall be people who might be dying. Accordingly the population count keeps on changing.

The flight time depends upon the aerial distance and the speed which generally remains same.

Accordingly if a flight takes  hours to travel the distance it will be same.

The area of a particular place shall not change as earth will not create new land, or the area will remain same by any how only exception to this is acquisition of land of neighbouring places, by war or political influence, but not in a  natural manner.

Thus, population of Florida is variable.

Final answer:

The flight time from Philadelphia to San Francisco varies.

Explanation:

The subject of the question is a comparison of three different values: the population of Florida, the area of Colorado, and the flight time from Philadelphia to San Francisco. Out of these three, the value that varies is the flight time from Philadelphia to San Francisco.

This is because the population of Florida remains relatively constant over time, while the area of Colorado also remains the same. However, the flight time from Philadelphia to San Francisco can vary based on factors such as weather conditions, air traffic, and flight routes.

For example, if there are strong headwinds, it may take longer to fly from Philadelphia to San Francisco compared to a day with favorable tailwinds.

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A newspaper carrier has $1.80 in change. He has two more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have?

Answers

1\ quarter=\$0.25\n1\ dime=\$0.10\n1\ nickel=\$0.05\n\nq\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ quarters\nd\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ dimes\nn\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ nickels\n\nq=2d\ \ \ and\ \ \ n=3q\ \ \ \Rightarrow\ \ \ n=3\cdot 2d=6d\n\nq\cdot0.25+d\cdot0.10+n\cdot 0.03=1.80\n\n2d\cdot0.25+d\cdot0.1+6d\cdot0.05=1.8\n\n

0.5d+0.1d+0.3d=1.8\n\n0.9d=1.8\ \ \ \Rightarrow\ \ \ d=2\ \ \ \Rightarrow\ \ \ q=2\cdot2=4\ \ \ and\ \ \ n=6\cdot2=12\n\nAns.\ 4\ quarters,\ 2\ dimes,\ 12\ nickels
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