You are the manager of a firm that sells its product in a competitive market at a price of $48. Your firm's cost function is C = 60 + 2Q 2. Your firm's maximum profits are

Answer:

Step-by-step explanation:

volume of cone cup = ⅓πr²h = ⅓π4²·11 ≅ 184.31 cm³

10 gal × 3,785 cm³/gal = 37,850 cm³

37,850 cm³ × (1 cone)/(184.31 cm³) ≅205.4 cones

Buy 5 packages (250 cones).

8 gal × 3,785 cm³/gal = 30,280 cm³

30,280 cm³ × (1 cone)/(184.31 cm³) ≅165 cones

250 - 165 = 85 cones left over

a). Number of packs of cups to be purchased = 5 packs

b). Number of cups remaining if 80% lemonade is sold = 85 cups

          [tex]V=\frac{1}{3}\pi r^2h[/tex]

          Here, r = radius of the cone

                    h = Height of the cone

Given in the question,

a). Volume of one cone = [tex]\frac{1}{3}\pi (4)^2(11)[/tex]

                                        = 184.307 cm³

    Covert the gallons into cubic cm,

   ∵ 1 gallon = 3785 cm³

   ∴ 10 gallons = 37850 cm³

   ∵ 184.307 cm³ volume represents the number of cones = 1

   ∴ 1 cm³ will represent the voulume = [tex]\frac{1}{184.307}[/tex] cups

   ∴ 37850 cm³ will represent the volume = [tex]\frac{37850}{184.307}[/tex] cups

                                                                      = 205.36 cups

                                                                      ≈ 205 cups

     Therefoe, number of packs of cups to be bought = [tex]\frac{205}{50}[/tex]

                                                                                         = 5 packs

b). If 80% of the lemonade are sold, amount of lemonade sold = 10 × [tex]\frac{80}{100}[/tex]

                                                                                                        = 8 gallons

    Volume of 8 gallons lemonade in cm³ = 8 × 3785

                                                                     = 30280 cm³

    Therefore, number of cups to be used = [tex]\frac{30280}{184.307}[/tex] cups

                                                                     = 164.29 cups

                                                                     ≈ 164 cups

    Number of cups purchased = 250

    And the number of cups remaining = 250 - 164

                                                                 = 86 cups

    Therefore, number of cups remaining are 86 cups.

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Answer:

[tex]\displaystyle (4,-5.25)[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point A(3, -8)

Point B(5, -2.5)

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Answer:

yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Answer:

Step-by-step explanation:

Factor g(x)

(x+4)(x+4)

(x+4)^2

So f(x) needs to be shifted left by 4 units.

Answer:

Option A, Left by 4 units

Step-by-step explanation:

Step 1:  Convert g(x) to a function square

We currently have g(x) in this order:  [tex]ax^2 + bx + c[/tex]

However, we want g(x) to be in this order:  [tex](ax + c)^{2}[/tex]

The first thing we have to do is to factor it out:

[tex]g(x)=x^{2}+8x+16[/tex]

[tex]g(x) = (x + 4)(x + 4)[/tex]

[tex]g(x) = (x+4)^{2}[/tex]

Step 2:  Now we can see which way we need to move it

The original form is:  [tex]f(x) = (ax - b)^{2}[/tex]

Since the - has changed to a +, that means that we moved -4 spaces down the x-axis.  This means that we move left by 4 units.

Answer:  Option A, Left by 4 units

Look at the graphs below to make sure:

Answer:

Step-by-step explanation:

To eliminate the x terms, first multiply the second equation by 3:

-3x + 6y = 24

then add it to the first equation:

3x + 5y = -2

-3x + 6y = 24

------------------

0x + 11y = 22

y = 2

plug the value of y into one of the equations:

-x + 2(2) = 8

x = 4-8 = -4

(x,y) = (-4, 2)

Answer:

P(A) = 0.3

Step-by-step explanation:

independent event:

P(A|B) = P(A) = 0.3

The value of P(A) is equal to 0.3 to the nearest tenth.

When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events. Comparing it with the chain rule will give

[tex]P(A|B) = P(A)\\P(B|A) = P(B)[/tex]

It is showing that whether one occurred or not, the other one doesn't care about it (independence).

Given that A and B are independent events, A and C are dependent. P(A|B) = 0.3,

P(A|C) = 0.2.

We know that for the independent event:

P(A|B) = P(A)

Hence, P(A) = 0.3

The value of P(A) is equal to 0.3 to the nearest tenth.

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Answer:

KL= 17.67 unit

UE = 17.67 unit

Step-by-step explanation:

Given:

Diagonals

KL= h+7

UE = 4h-25

Find:

Length of diagonals KL and UE

Computation:

We know that in isosceles trapezoid the length of diagonals are equal

So,

KL = UE

h+7 = 4h-25

3h = 32

h = 10.67

So,

KL= h+7

KL= 10.67+7

KL= 17.67 unit

UE = 4h-25

UE = 4(10.67)-25

UE = 17.67 unit

Answer:

$15.21

Step-by-step explanation:

Answer:

15.21

Step-by-step explanation:

20−4.79

Subtract 4.79 from 20 to get 15.21.

15.21

Answer:

hi

Step-by-step explanation:

Answer:

25x-25y

Step-by-step explanation:

The distributive property tells us how to solve expressions in the form of a(b + c).

So, a*b and a*c would be the answer.

25*x and 25*y

Good luck on your assignment. :)

Answer:

=25x−25y

Step-by-step explanation

Answer:

[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]

Step-by-step explanation:

Given

[tex]3\sqrt{6x^2[/tex]

Required

Express as a radical

Split

[tex]3\sqrt{6x^2} = 3\sqrt{6} * \sqrt{x^2[/tex]

[tex]\sqrt{x^2} = x[/tex]

So:

[tex]3\sqrt{6x^2} = 3\sqrt{6} * x[/tex]

This gives:

[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]

Answer:

Swap the direction of the inequality

Step-by-step explanation:

Anytime you multiply or divide by a negative number in an inequality, you flip the symbol so > turns into <

Answer:

$2.95

Step-by-step explanation:

$14.30 - $2.50 = $11.80

$11.80/4 = $2.95 for a chicken sandwhich

Answer: this equation is in slope intercept form following the template of y=mx+b because m is your slope, looking at the corresponding parts tells you 4/5 is the slope.

answer:

2x^3-3x^2+9x+2

step-by-step explanation:

i added 4x and 5x to get 9x

good luck :)

hopefully, this helps

have a great day !!

Answer:

1. B.

2. C.

Step-by-step explanation:

1. It only has one cell so it needs to rely on other organisms in order for it to survive

2. Chloroplasts are only found in plants you can remember it by "Chloroplants"

[tex]\huge\mathfrak\purple{answer}[/tex]

[tex]3x + 5x= \red{56} \\ 8x = \red{56} \\ x = \frac{56}{8} \\ x= \red{7}[/tex]

(Mark me brainliest if you're satisfied with the answer :))

Answer:

C. (2,4)

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

Because 100% - 30% = 70%

Answer:

Step-by-step explanation:

radius = distance between (2,3) and (5,3) = √[(5-2)² + (3-3)²]  = 3

The required radius of the circle is

center is (2,3)
point on the circle is (5,3).

Radius of the circle is the distance between the center to the circumference.

Radius = [tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
=[tex]\sqrt{(5-3)^2-(3-3)^2}[/tex]

Radius = [tex]\sqrt{4}[/tex]
Radius = 2

Thus, the required radius is 2 .

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Answer:

21x+56 %thats ur answer hope it worked !

Answer:

21x

Step-by-step explanation:

ssjsjsjsjsjsssjsjsss

Answer:

5:15

Step-by-step explanation:

15:55 = 3:55 in normal time

3:55 + 1 hr = 4:55

4:55 + 20 min = 5:15

Answer:

10+p

Step-by-step explanation:

that's pretty much it

Answer:

I believe if they did it together they would finish in 6 minutes

Step-by-step explanation: