1. Nancy works at a Dunkin Donut. The coffee maker has the ability to make 64oz of coffee. If
one coffee maker is half full, and coffee is brewed at a rate of 2oz per minute.
a. Write an equation to represent the total amount of coffee, c, in the coffee makers after t
minutes of brewing. (2 points)
b. How much coffee is there after 10 minutes of brewing? (2 points)

lol no

just give up in life

The function is used to model real life situation

(a) The value of a

The function is given as:

[tex]\mathbf{y = a(x - 100)(x - 200) }[/tex]

The profit on 120 computers is 3200000.

So, we have:

[tex]\mathbf{3200000 = a(120 - 100)(120 - 200) }[/tex]

[tex]\mathbf{3200000 = -1600a}[/tex]

Divide both side by -1600

[tex]\mathbf{a = -2000}[/tex]

Hence, the value of (a) is -2000

(b) The maximum profit

The function becomes

[tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]

Expand

[tex]\mathbf{y = -2000(x\² - 200x - 100x + 20000)}[/tex]

[tex]\mathbf{y = -2000(x\² - 300x + 20000)}[/tex]

Expand

[tex]\mathbf{y = -2000x\² + 600000x - 40000000}[/tex]

Differentiate

[tex]\mathbf{y' = -4000x + 600000}[/tex]

Set to 0

[tex]\mathbf{-4000x + 600000 = 0}[/tex]

Collect like terms

[tex]\mathbf{4000x = 600000}[/tex]

Divide both sides by 4000

[tex]\mathbf{x = 150}[/tex]

Substitute 150 for x in [tex]\mathbf{y = -2000(x - 100)(x - 200)}[/tex]

[tex]\mathbf{y = -2000(150 - 100)(150 - 200)}[/tex]

[tex]\mathbf{y = 5000000}[/tex]

150 computers must be produced to maximize the profit of $5,000,000  

c) Range when the target is at least $4,800,000

This means that:

[tex]\mathbf{y \ge 4800000}[/tex]

So, we have:

[tex]\mathbf{-2000x\² + 600000x - 40000000 \ge 4800000}[/tex]

Collect like terms

[tex]\mathbf{-2000x\² + 600000x - 40000000 - 4800000 \ge 0}[/tex]

[tex]\mathbf{-2000x\² + 600000x - 44800000 \ge 0}[/tex]

Divide through by -2000

[tex]\mathbf{x\² - 300x +22400 \le 0}[/tex]

Factorize

[tex]\mathbf{(x - 140)(x - 160) \le 0}[/tex]

Express as inequality

[tex]\mathbf{140 \le x \le 160}[/tex]

A range of 140 to 160 computers would give the company at least $4,800,000

Read more at:

brainly.com/question/25471478

Answer:

I think youre trying to ask the weight of one of the bags

Step-by-step explanation:

the answer is 35.5 you take the total weight and divide it by the number of bags hope this helps

25 miles is the constant. x is the changing factor. x miles per hour for 5 hours is 5x. y is the total amount. This means that our formula is going to be A) 5x + 25 = y.

All of the other options are incorrect.

I hope this helps! :)

Answer:

B

Step-by-step explanation:

Equal ratios can be found by multiplying/ dividing the parts by the same value.

A

1 : 6 ( multiply both parts by 3 )

= 3 : 18 ← equal ratios

B

2 : 14 ( multiply both sides by 3 )

= 6 : 42 ≠ 3 : 42 ← ratios not equal

C

12 : 6 ( divide both parts by 6 )

= 2 : 1 ← equal ratios

D

3 : 11 ( multiply both parts by 2 )

= 6 : 22 ← equal ratios

Answer:

3 8 + 3 7  divided by 8

Step-by-step explanation:

On average, a newborn drinks about 1.5-3 ounces (45-90 milliliters) every 2-3 hours

Answer:

2/3 meters

Step-by-step explanation:

Work=Force*Distance

we can also say:

Distance=Work/Force

Distance=100j/150N

D=2/3 meters

The distance she moves her weight is 2/3 meters.

Energy, which is observable in the execution of labor as well as in the form of heat and light, is the quantitative quality that is transferred to a body or to a physical system in physics.

Energy is a preserved resource according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or destroyed.

Given, Kim Kardashian weight lifts 150N.

Her muscles use 100J of energy.

We know work = force×distance.

∴ 100 = 150×distance.

distance = 100/150.

distance = 2/3 meters.

learn more about force here :

https://brainly.com/question/13191643

#SPJ2

Answer:

7 students

Step-by-step explanation:

72/100 × 25 students = 18

18 students are interested in mathematics

therefore, 25 - 18 = 7 students are not interested

Answer:

36

Step-by-step explanation:

60 × 3 ÷ 5 that's basically it :))

36 out of 60 cowboys ahs chosen bacon over sausages.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Sam, the ranch cook, made sausage and bacon for breakfast.

Each cowboy could choose one meat, and Sam had just enough.

3 of every 5.

Also given that there are 60 cowboys so no. of meat is also 60 as each cowboy could choose one meat.

If 3 of every 5 cowboys chosen meat then the no. of cowboys chosen meat is,

= (3/5)×60.

= 36 cowboys.

learn more about ratios here :

https://brainly.com/question/13419413

#SPJ2

Answer:

x=0

Step-by-step explanation:

2.5^2x = 1

2.5^2x=2.5⁰

2 x = 0

x=0

Answer:

On which body part a temporal lobe is placed?

answer-

behind the ears

The square root of 81 is?

answer-

9

Answer:

X= - 6/20

Step-by-step explanation:

Find the lcm in both sides,,,

Do a cross multiple of the sides,

x = 5

explanation:

3 + 4.5 = 7.5 to get the side of the big triangle

set up a proportion

[tex]\frac{3}{7.5} =\frac{2}{x}[/tex]

3x=7.5(2)..........cross multiply

3x=15.................multiply

x=5.....................divide both sides by 3

Answer:

Step-by-step explanation:

[tex]\frac{3}{2} =\frac{7.5}{x} \\[/tex]

3x = 15

x = 5

None, it is a binomial because it has 2 terms. The degree is 1.

Hope this helps friend~ ^^

Answer:

the answer is 4276, hope this helps :)

14°is the correct answer.

Please mark my answer as brainest and follow me to get the answer faster

Answer:

∡d  = 83°

Step-by-step explanation:

∡d is 180 - 97 = 83°

∡d and the 97° angle are supplementary, meaning their sum is 180 degrees

Answer:

12-2(n-1).

Step-by-step explanation:

It can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12. The 5th term is 14-10=4; the 6th is 14-12=2.

Answer:

842567

the answer is thousands

7 is ones

6 is tens

5 is hundreth

2 is thousands

4 is ten thousands

8 is hundred thousands

Hope This Helps!!!

Answer:

-5x+12=5x-5

12=5x+5x-5

12+5=10x

17=10x

17/10=×

Actual number

[tex]\\ \sf\longmapsto 202700[/tex]

Number in words=two hundred and two thousands and seven hundreds

Step-by-step explanation:

as you can see, the distance between 2 points can always be seen as the Hypotenuse or baseline of a right-angled triangle created by the differences of the x and y coordinates of both points.

the drawn triangle is nothing else than that.

to calculate the length of a side in such a triangle we need to use Pythagoras :

c² = a² + b²

c is the Hypotenuse of baseline of the triangle and is opposite of the 90 degree angle.

a and b are the legs of the triangle "enclosing" the 90 degree angle.

so, we have

AB² = AC² + BC²

AC and BC we know : the coordinate differences in x and y directions.

AC = (4, 5) to (4, 2). as the x coordinates are the same, the difference is just the difference in the y coordinates : 5-2 = 3.

BC = (1, 2) to (4, 2). as the y coordinates are the same, the difference is just the difference in the x coordinates : 5-1 = 3.

AB² = 3² + 3² = 9 + 9 = 18

AB = sqrt(18)

FYI : sqrt(18) = sqrt(9×2) = 3×sqrt(2)

Answer:

512.017

Step-by-step explanation:

Just multiply all the numbers and add them as you go along to make one number.

Answer:

Step-by-step explanation:

question 13:

the triangle with x is a 30-60-90 triangle which means

x= 17√3

then the traingle with y and z is a 45-45 triangle

z=34

y= 34√2

question 14:

x= 18√3

z=9

y= 18

k has a rotational symmetry

Answer:

(−2, 3), (−5, 3) lie on a horizontal line.  The y value is 3 for both values of x.  The line runs parallel to the x axis and 2 steps above.

Step-by-step explanation:

Answer:

D) (4, -6, -1)

Answer:

  C = 25/9

Step-by-step explanation:

Consider the perfect square trinomial ...

  (x -a)² = x² -2ax +a²

The constant (a²) is the square of half the x-coefficient.

For your trinomial, the square of half the x-coefficient is ...

  C = ((-10/3)(1/2))² = (5/3)² = 25/9