The production costs, C, in thousands of dollars, for an
energy drink company to manufacture cans of energy
drink is given by the model C(x) = 50 +3.8x -0.0038x^2,
where x is the number of cans of energy drinks produce
in one day, in thousands. The company wants to keep i
production cost at or below $781.12.
Given that x is an element of a subset of the integers,
which of the following constraints satisfy the domain of
C(x)?
The answer choices are in the picture.

The Production Costs, C, In Thousands Of Dollars, For Anenergy Drink Company To Manufacture Cans Of Energydrink

Answers

Answer 1

If the company wants to keep its production costs under $781.12 a reasonable domain for the constraint x is  -12.9892≤ x ≤ 1012.99.

What are constraints?

A constraint is a condition of an optimization problem that should be satisfied the condition.

Let  x is an element of a subset of the integers,

C(x) is the production cost, in thousands of dollars

[tex]C(x) = 50 +3.8x -0.0038x^2,[/tex]

This is a vertical parabola open downward (the leading coefficient is negative)

we know that

For the interval [-12.9892, 1012.99] = -12.9892≤ x ≤ 1012.99

The value of C(x) = C(x) < 781.12

That means the production cost is under $781.12

Remember that the variable x (number of tires) cannot be a negative number.

If the company wants to keep its production costs under $175,000 a reasonable domain for the constraint x is -12.9892≤ x ≤ 1012.99

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Related Questions

Tickets to games of a local basketball team cost $12 for students and $16 for adults. For one game, $3700 was collected and 250 tickets were sold. How many of each kind of ticket were sold? Write and solve a system of equations.

Answers

Let x be the number of students tickets and y be the number of adult tickets,
equation 1. 12x + 16y = $3700
equation 2. x + y = 250
In equation 2, x= 250-y — equation 3
Put equation 3 into 1,
12(250-y) + 16y = $3700
3000 - 12y + 16y = $3700
4y = $700
y = 175
Sub y = $175 into equation 2
x + 175 = 250
x = 75
The number of students ticket sold is 75 and the number of adult ticket sold is 175.

Someone please tell me a step by step explanation ASAP

Answers

Answer: 2.6779 × 10⁵ square miles

Step-by-step explanation:

First multiply then subtract:

= (2.69 × 10⁵) - (1.21 × 10³)

= 269000 - 1210

= 267,790 square miles

write it in scientific notation:

= 2.6779 × 10⁵ square miles ...answer...

Hope that helps...

what are the properties that equilateral triangles and isosceles triangles have in common

Answers

Answer:

At least 2 sides that are the same lenth

Step-by-step explanation:

Equilateral triangle - All the sides have the same lenth

Isosceles triangle - 2 sides that are the same lenth

A concession stand at the high school football stadium sells hotdogs and hamburgers to raise money for the high school athletes program each hotdog so earns the program $.50 and each hamburger so earned $.75 this week the concession stand so a combination of
230 hotdogs and hamburgers in earned $138.50 for the athletes program if X represents the numbers of hot dog so then why represents the number of hamburger showed which system of equations represents the situation

Answers

Answer:

[tex]0.50x+0.75y=138.50\\x+y=230[/tex]

Step-by-step explanation:

In the equations, x represents the number of hamburgers and y the number of hotdogs.

20 workers can produce 1000 products in 10 hours.
Assuming the efficiency per worker remains the same, how many products can 15 workers produce in 5 hours?

Answers

Using proportions, it is found that 375 products are produced with 15 workers in 5 hours.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that the rule of three are given as follows:

1000 products - 20 workers - 10 hours.

x products - 15 workers - 5 hours.

The measures are direct proportional, hence:

[tex]\frac{1000}{x} = \frac{20}{15} \times \frac{10}{5}[/tex]

[tex]\frac{1000}{x} = \frac{40}{15}[/tex]

Applying cross multiplication:

40x = 15(1000)

x = 15(1000)/40

x = 375.

375 products are produced with 15 workers in 5 hours.

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You want to take a trip to the beach, which costs $450. You have $900 in your bank account but must withdraw $60 each week to pay for groceries. What is the maximum number of weeks you can withdraw money and still have
enough to take your trip to the beach?
1. Set up the inequality:
2. Inequality Answer:

Answers

Answer:

see below

Step-by-step explanation:

450 + 60x <= 900

60x <= 450

x <= 7.5      ~ 7 weeks     After 7 weeks you will not have enougn money for a full week's worth of chow.  

Functions pls help will give brainlest

Answers

Answer(s)

Problem 15: x = -16

Problem 12: y = 20

Problem 13: y = 7

Problem 14: x = -7

pleasee help I don't understand ​

Answers

Answer:

Let's say a factor in the watercycle is vegetation. Deforestation leads to less vegetation which means less transpiration which affects how the water reenters the atmosphere. In addition, the trees can no longer catch water in their leaves, absorb it, or filter pollutants through their roots before it runs off into say a local body of water.

Answer: i can not see it

Step-by-step explanation:

What is 25% of 48?
What is 150% of 30?

Answers

Answer:

#2 is 12 and #3 is 45

Step-by-step explanation:

Step 1:  Determine 25% of 48

[tex]48 * \frac{25}{100}[/tex]

[tex]48 * 0.25[/tex]

[tex]12[/tex]

Step 2:  Determine 150% of 30

[tex]30 * \frac{150}{100}[/tex]

[tex]30 * 1.5[/tex]

[tex]45[/tex]

Answer:  #2 is 12 and #3 is 45

The population sizes of many animal species rise and fall over time. Suppose that the population size of a certain species can be modeled by the following.

[tex]p(t) = 4096 - 1269cos(\frac{2\pi }{11} t)[/tex]

In this equation, p(t) represents the total population size and t is the time (in years). Suppose we start at t = 0 years.

During the first 11 years, when will the population size be 4700?

Do not round any intermediate computations, and round your answer(s) to the nearest hundredth of a year. (If there is more than one answer, enter additional answers with the "or" button.)

There are two answers

Answers

Solving the trigonometric equation, it is found that during the first 11 years, the population size will be of 4700 in 3.62 and 7.24 years.

What is the trigonometric equation for the population?

It is given by:

[tex]p(t) = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]

It will be of 4700 when p(t) = 4700, hence:

[tex]p(t) = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]

[tex]4700 = 4096 - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]

[tex]604 = - 1269\cos{\left(\frac{2\pi}{11}t\right)}[/tex]

[tex]\cos{\left(\frac{2\pi}{11}t\right)} = -\frac{604}{1269}[/tex]

[tex]\cos{\left(\frac{2\pi}{11}t\right)} = -0.47596532702[/tex]

[tex]\cos^{-1}{\cos{\left(\frac{2\pi}{11}t\right)}} = cos^{-1}{-0.47596532702}[/tex]

Then:

[tex]\frac{2\pi}{11}t = 2.06685766[/tex]

[tex]t = \frac{11 \times 2.06685766}{2\pi}[/tex]

[tex]t = 3.62k, k = 1, 2, ...[/tex]

Thus:

t = 3.62 x 1 = 3.62

t = 3.62 x 2 = 7.24.

The population size will be of 4700 in 3.62 and 7.24 years.

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Which of the following is 9.0294 rounded to 2 decimal places?

Answers

I think it is 9.03 because when you round the 2 you turn the two into a 3 because 9 is greater then 5 so u increase it

What is the measure of Zx?
Angles are not necessarily drawn to scale.
Y
Z
97
20
X
W

Answers

Answer:

83

Step-by-step explanation:

x° + 97° = 180° ( Angles in linear pair)

-> x° = 180° - 97°

-> x° = 83°

-> x = 83

The Wisconsin Badgers football team has 2 22 regular season games and 1 11 bowl game left in their season. If they win all 3 33 games, they will make a total of 100 100100 million dollars in revenue. If they win their bowl game, but not all 3 33 games, they will make a total of 20 2020 million dollars in revenue. Under any other outcome, they will make just 10 1010 million dollars in revenue. Sports analysts are predicting that the Badgers have a 60 % 60%60, percent chance of winning each regular season game and a 40 % 40%40, percent chance of winning their bowl game. Sports analysts assume that each game is independent

Answers

Answer: 25.52

Step-by-step explanation: correct on khanacademy

Consider a sound at 91.9 dB and a second sound at 29.1 dB. How many times louder is the first sound compared to the second (to the nearest hundredth)?

Answers

Answer:

91.9/29.1=3.15807560137

so around 3.16

PLEASE HELP PLEASE HELP

Answers

Answer:

D -- Triangular prism

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!


Karen makes $6 per hour baby-sitting and $13 per hour giving music lessons. One
weekend, she worked a total of 8 hours and made $55. How many hours did she spend
baby-sitting?
a. 9
b. 1
C. 2
D.7

Answers

The total hours that Karen spent baby-sitting on the weekend is 7 hours.

What are the equations that represent the question?

a + b = 8 hours equation 1

6a + 13b = 55 equation 2

Where:

a = hours spent baby-sitting b = hours spent giving music lessons

How many hours was spent babysitting?

Multiply equation 1 by 13

13a + 13b = 104 equation 3

Subtract equation 2 from equation 3

7a = 49

a = 7 hours

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Help hemp help math math

Answers

39.2 is the answer it should work

draw lines to divide the shape into parts with equal area. Write the area of each part as a unit fraction

Answers

The unit fraction for an area (or anything, for that matter) divided into n equal parts is 1/n.

What is a fraction?

A fraction represents a part of a number or any number of equal parts.

We have to draw lines to divide the shape into parts with equal areas.

The unit fraction for an area (or anything, for that matter) divided into n equal parts is 1/n.

The area of the first shape as a unit fraction is 1/2.

The area of the second shape as a unit fraction is 1/3.

The area of the third shape as a unit fraction is 1/6.

For 2 equal parts, it is 1/2.

Learn more about fractions;

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REASONING Do you always need to regroup when
multiplying 3-digit or 4-digit numbers? Why or why not?

Answers

Answer:

You don't need to because multiplication is commutative.


please help me with math i’ll give you brainlist

Answers

40%
4/10 =40/100 =40%

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Step-by-step explanation:

< 2 = 37 = <4 (vertically opposite angles)

<3 = 180-37 = 144

<1 = 144

<2 = <8 = 37 ( alternate angles)

<3 = <5 = 144 (alternate angles)

<8 = <6 = 37 (vertically opposite angles)

<5 = <7 = 144 (alternate angles)

The coach for a basketball team wants to buy new shoes for her 12 players.
Super Sports is offering a 20% discount on each pair of shoes, which were originally
priced $72.50. A 6.5% sales tax will be applied to the discounted price.
The same shoes are also available on Double Dribble's web site for $54.75. A
9% processing fee will be applied to the cost of the shoes, plus a shipping fee of
$5.99 for each pair.
What is the difference in the total costs of the 12 pairs of shoes between the two
stores?

Answers

Using proportions, it is found that the difference in the total costs of the 12 pairs of shoes between the two stores is of $46.77.

What is a proportion?

A proportion is a fraction of a total amount.

At Super Sports, each pair of shoes costs $72.50, with a discount of 20%(multiplication by 0.8) and a sales tax of 6.5%(multiplication by 1.065). Hence, the total cost of the 12 pairs is given by:

Cs = 12 x 72.50 x 0.8 x 1.065 = $741.24.

At Double Dribble, each shoe costs $54.75, plus a 9% processing free(multiplication by 1.09), plus a shipping fee of $5.99 for each pair, hence the total cost is given by:

Cd = 12 x (1.09 x 54.75 + 5.99) = $788.01.

The difference is given by:

$788.01 - $741.24 = $46.77.

More can be learned about proportions at https://brainly.com/question/24372153

please help and answer as soon as possible​

Answers

Answer:

c

Step-by-step explanation:

did it got a 100

Please mark brainliest

Write with fractional exponents. 3√y^2

Answers

3√y^2

We can write it as,

⇒ y 2/3

Because,

n√a  = a 1/n

please mark me branliest

What are the coordinates of vertex J of the pre-image?
O (0, -4)
O (0, -1)
0 (0,0)
0 (0, 4)

Answers

Answer:

(0, -4)

Step-by-step explanation:

J: (0, -2)

Since the equation: [(1/2) x, (1/2) y] was used to create the image, the opposite would create the answer.

x: (2) × 0 = 0

y: (2) × (-2) = -4

(0, -4)

I hope this helps!

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

4 6 9 6 8 6 8 hope that helps

Write 28 + 24 as a product of two factors using the GCF
and the distributive property.
28 24

Answers

Answer:

4(7 + 6)

Step-by-step explanation:

28 + 24

GCF of 28 and 24 is 4

4 (7 + 6)

I hope this helps!

30 POINTS JUST TELL ME THE ASNWER DONT EXPLAIN IT IM ON A TIGHT SCHEDULE

Answers

Answer:

1/4

Step-by-step explanation:

What is the value of a2 + 3b ÷ c − 2d, when a = 3, b = 8, c = 2, and d = 5?

Enter your answer below.

Answers

Answer:

the answer is 8

Step-by-step explanation:

a2+3b÷c-2d

3×2+3×8÷2-10

6+24÷2-10

6+12-10

18-10

=8

Sara is a marketing analysis manager for a top cereal producer. Part of her job is to review product sales to grocery chains and if the contracted product shelf placement is the optimal location to maximize sales. Because of the large data sets, she is only interested in creating a small number of clusters to view the results. What type of clustering method would work best

Answers

If she is only interested in creating a small number of clusters.The type of clustering method that would work best is: k-means clustering.

What is k-means clustering?

k-means clustering can be defined as a quantization techniques that is used to divide or seperate or data into number of groups in which each of the observation is linked to a prototype cluster or vectors.

Based on the given scenario k-means clustering method is the best choice as this will result in efficiency and make her work faster and easier.

Therefore the type of clustering method that would work best is: k-means clustering.

Learn more about k-means clustering here:https://brainly.com/question/17241662

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