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Marat540 [252]
2 years ago
5

In the function y = 0.25x + 3.5, y represents the cost of a gallon of milk after a certain number of years, x. How much does the

cost of milk increase every year
Mathematics
1 answer:
Alex73 [517]2 years ago
8 0

answer:

$0.75

Step-by-step explanation:

the function can be represented as:

 

f(x)=0.25x+3.5

 

the function produces the following values for years 1, 2, and 3 respectively:

 

f(1)=0.25(1)+3.5=3.75

f(2)=0.25(2)+3.5=4.00

f(3)=0.25(3)+3.5=4.25

 

therefore, 

 

there is a $0.75 increase per year

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lisov135 [29]
The estimated lengths are 12in. and 5 in. This would be an estimated difference of 7in.


The estimated difference is going to be higher than the actual difference because in rounding 11.7 to 12, you are losing .30in, but in rounding down 5.25 to 5, you are actually gaining .75in.


The ACTUAL difference is 6.45in
3 0
3 years ago
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beks73 [17]

The result of expanding the trigonometry expression \sin^2(\theta) * (1 + \cos(\theta)) is cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)

<h3>How to evaluate the expression?</h3>

The expression is given as:

\sin^2(\theta) * (1 + \cos(\theta))

Express \sin^2(\theta) as 1 - \cos^2(\theta).

So, we have:

\sin^2(\theta) * (1 + \cos(\theta)) =  (1- \cos^2(\theta)) * (1 + \cos(\theta))

Open the bracket

\sin^2(\theta) * (1 + \cos(\theta)) =  1 + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)

Express 1 as cos°(Ф)

\sin^2(\theta) * (1 + \cos(\theta)) =  cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)

Hence, the result of expanding the trigonometry expression \sin^2(\theta) * (1 + \cos(\theta)) is cos^0(\theta) + \cos(\theta) - \cos^2(\theta) - \cos^3(\theta)

Read more about trigonometry expressions at:

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3 0
2 years ago
Ethan Purchased A new cell phone for $75.00. The cost of the phone is included in his first months bill. His cell phone plan cha
Kaylis [27]

Answer:

he had $90

he bought a phone for $75

90-75=15

he has $15 now

15÷0.06=1500÷6=250 minutes

7 0
2 years ago
Glenda receives a salary of $4,792 bimonthly. Find Glenda’s earnings per year.
Andre45 [30]

Answer: $28,752

Explanation:

The<u> definition of bimonthly</u> is an event that happens once in two months. -bi represents "two", while -monthly represents "event that happens by month.

Given that Glenda receives a salary of <u>$4,792 bi-monthly</u>, we are required to find the earnings per year.

There are <u>12 months in each year</u>, and if the given value is a 2-month value, then we shall divide 12 by 2 to find that there is in total 6 of the 2-month value.

12/2=6

Finally, we shall <u>multiply the total number with the salary</u>, which will be $4,792 times 6.

4792*6=\boxed{28752}

Hope this helps!! :)

Please let me know if you have any questions

3 0
2 years ago
Is the given number a solution of an equation or inequality 3x-4=10;5
kotykmax [81]

The given number is not a solution of the equation i.e. the number is an inequality

<h3>How to determine the solution?</h3>

The equation is given as:

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The number is given as:

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This means that

x = 5

Substitute x = 5 in 3x- 4 = 10

3 * 5- 4 = 10

Evaluate the product

15- 4 = 10

Evaluate the difference

11 = 10

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Hence, the given number is not a solution of the equation i.e. the number is an inequality

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7 0
2 years ago
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