Samuel is in the business of manufacturing phones. He must pay a daily fixed cost to
rent the building and equipment, and also pays a cost per phone produced for
materials and labor. The equation C = 225p + 900 can be used to determine the
total cost, in dollars, of producing p phones in a given day. What is the slope of the
equation and what is its interpretation in the context of the problem?
The slope of the function is 225 which represents
the total cost to produce all of the phones
*
attempt 2 out of 2
the total cost to produce all of the phones
the number of phones produced in a day
the fixed cost for rent and equipment
the number of days to produce all of the phones
the additional cost to produce each phone
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Answer:

1)27.25 feet

2)-0.2774,2.027

3)Domain = All real numbers

Range = y∈R : [tex]y \leq \frac{109}{4}[/tex]

Step-by-step explanation:

The height of the football, h, at time t seconds is modeled by the equation [tex]h(t) = -16t^2 + 28t + 15[/tex]

General quadratic equation : [tex]ax^2=bx+c=0[/tex]

1) Maximum height will be at [tex]\frac{-b}{2a}=\frac{-28}{2(-16)}=\frac{7}{8}[/tex]

To find maximum height Substitute [tex]t = \frac{7}{8}[/tex] in the given equation

[tex]h(t)=-16(\frac{7}{8})^2+28(\frac{7}{8})+15\\h(t)=27.25 feet[/tex]

2)

Substitute h(t)=6

So, [tex]-16t^2+28t+15=6[/tex]

[tex]-16t^2+28t+9=0\\t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-28\pm \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=\frac{-28+ \sqrt{28^2-4(-16)(9)}}{2(-16)},\frac{-28- \sqrt{28^2-4(-16)(9)}}{2(-16)}\\t=-0.2774,2.027[/tex]

3)

Domain = All real numbers

Range = y∈R : [tex]y \leq \frac{109}{4}[/tex]

Answer:

3/8 cups of sugar.

Step-by-step explanation:

By multiplying the denomintor by 2 you can get half of what it was.

Answer:

plz i need help

Step-by-step explanation:

Answer:

x = john

x + 3 = ahmad

x + (x + 3) = 63

2x + 3 = 63

2x = 60

x = 30

john is 30 so ahmad is 33

Answer:

yes, that is correct

Step-by-step explanation:

- (20÷39) = - 0.513

- 0.513 * 1.43 = - 0.734 ~ - 0.75

Answer:

Pls attach graph

Step-by-step explanation:

Answer:

The sum of interior angles of given polygon is 900°

Step-by-step explanation:

A regular polygon is a n-sided figure with n sides and the length of all sides is same.

In the diagram, we have a polygon with 7 sides.

The formula given is used to calculate the sum of interior angles of a polygon

[tex]Sum\ of\ interior\ angles = (n-2)*180[/tex]

Here n is the number of sides of polygon

In the given polygon

n = 7

So,

[tex]Sum = (7-2)*180 = 5*180 = 900[/tex]

Hence,

The sum of interior angles of given polygon is 900°

Answer:

−13x+18

Step-by-step explanation:

=−4x+(−9)(x)+(−9)(−2)

=−4x+−9x+18

Combine Like Terms:

=−4x+−9x+18

=(−4x+−9x)+(18)

=−13x+18

Answer:

[tex] = - 4x - 9(x - 2) \\ = - 4x - 9x + 18 \\ = - 13x + 18[/tex]

Answer:

1.5 meters per second

Step-by-step explanation:

30 meters in 20 seconds. U need to "separate" the 30 seconds into 20 parts so u have to divide:

30/20 = 1.5

Answer: 1.5 meters

Step-by-step explanation:

To find how many meters in 1 second we need to make a unit. We'll use fractions in this case...

30 meters     ÷ 20               1.5 meters

--------------                    =       -----------------

20 seconds   ÷   20              1 second

This is a fancy was of saying 1.5 meters per 1 second.

Answer:

3.43

Step-by-step explanation:

Answer:

x=159/8

Step-by-step explanation:

you are supposed to put all those numbers and x's together and combine like terms then subtract from 180 and then divide

Answer:

short story has 32 pgs

novel has 416 pgs

Step-by-step explanation:

a novel (N) has 13 times as many pages as a short story (x) so, N = 13X

total pages is the equation N + x = 448

plug the equation for N into this

13x + x = 448, combine like terms

14x = 448, divide both sides by 14

x = 32. so now we know that the short story has 32 pages. subtract that from 448. and the novel has 416 pages.

There are 32 pages in the short story and 416 pages in the novel.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

Let x be the number of pages in the short story.

We know that the novel has 13 times as many pages as the short story, so the number of pages in the novel is 13x.

The combined number of pages in the books is the sum of the number of pages in the short story and the number of pages in the novel, which is x + 13x = 14x = 448 pages.

So the number of pages in the short story is x = 32 pages.

And the number of pages in the novel is 13x = 13 × 32 = 416 pages.

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Answer:

Transformations of function -3(4x)² - 5:

Answer:

270 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Answer:

27 years

Step-by-step explanation:

Given that :

Adrian's age = 3

Father's age = 34

In how many years will Adrian be twice as young as his father?

Let the number of years = x

2(3 + x) = 34 + x

6 + 2x = 34 + x

2x - x = 34 - 6

x = 28

Answer:

30 inches long

Step-by-step explanation:

width=5

length=6x5

6x5=30

length=30

Answer:

It should be 62.5 or 62.50.

Step-by-step explanation:

Here's why..........it would be very difficult to it another way so here is what I did....you have to find out how much 1 foot would cost which was 1.25 then multiply that by 50 and you will get 62.50.

Answer:

A. (1/2)(4+i)= 2+ (1/2)i

Step-by-step explanation:

The equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number:

= 4+i

Multiply it by 1/2

[tex]= \rm \dfrac{1}{2}(4+i)\\\\\rm =2+ \dfrac{1}{2}i[/tex]

[tex]\rm \dfrac{1}{2}(4+i) =2+ \dfrac{1}{2}i[/tex]

Thus, the equation 1/2(4+i) = 2+(1/2)i is the transformation if we multiply the complex number 4 + i with 1/2 option first is correct.

Learn more about the complex number here:

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Answer:

5400

Step-by-step explanation:

basic math

Answer:

5400

Step-by-step explanation:

Answer: 1 inch equals 4 feet

Step-by-step explanation:

By an online search, I´ve found that:

The park is 48 ft long.

Caitlin´s drawing is 12 inches long.

To find how much each inch represents, we need to take the quotient between those lengths:

48ft/12in = 4ft/in.

We also can write this amount as:

4 feet per inch.

This means that each inch represents 4 feets.

Then the correct option is the first one:  1 inch equals 4 feet

Answer:

y = -1/2x + (-1)

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

25​, 36​, 49​, 64​, ...

36 - 25 = 11

49 - 36 = 13 = 11 + 2

64 - 49 = 15 = 13 + 2

64 + 15 + 2 = 81

Answer:

Step-by-step explanation:

amount earned in 1 hr = $8

therefore, amount earned in 12 hrs = 12 x 8 = 96

let the amount earned in 1 hr be x

therefore, the amount earned in 12 hours = 12x

Hope this helps

plz mark as brainliest!!!!!!

Answer:

C

Step-by-step explanation:

Took quiz

The description of the transformation of z on the complex plane gives the quotient is B. scale z by a factor of 1 and rotate it 5 degrees clockwise.

It should be noted that a quotient simply means the number that obtained when division of numbers takes place.

In this case, the description of the transformation of z on the complex plane gives the quotient of 2 = 8cos30° + i sin30° and w = 2cos5° + i sin5° is to scale z by a factor of 1 and rotate it 5 degrees clockwise.

Learn more about quotient on:

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