Craig started a new print-screen company. His weekly income can be modeled by the function p(x)=−2x2+145x
, where x
is the number of t-shirts produced in a week.

Approximately how many shirts should Craig make to maximize his earnings for the week?

Answers

Answer 1

Craig should make approximately 36 shirts to maximize his earnings for the week.

How to find how many shirts to maximize his earnings for the week?

The maximum value of x for a quadratic equation, ax² + bx + c is given by the formula:

x (max) = -b/2a

Since the weekly income can be modeled by the function p(x)= −2x² + 145x.

In this case a = -2 and b = 145. Thus,
x (max) = -145/2(-2)

           =  145/4

           =  36.25

Thus, Craig should make approximately 36 shirts to maximize his earnings for the week

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Related Questions

Alycia has $10 to use for some new school supplies. She wants to buy a
binder for $2.79, a package of markers for $1.25 and 2 packs of ink pens for
$ 1.96 each. How much change should she get? *

Answers

Her change will be $2.04

Help this Due today.

Help this Due today.

Answers

Answer:

1/32

Step-by-step explanation:

A unit fraction is a fraction that has a numerator value of one

In a survey conducted among the people, 200 like to eat green vegetables, 200 like fruits and 100 like both of them. Using Veen-Diagram, find the number of people who like at least one of them.​

Answers

Answer:

300 people.

Step-by-step explanation:

In a survey conducted among the people, 200 like to eat green vegetables, 200 like fruits and 100 like

The number of people who like at least one of them is 300 people.

What is a Venn Diagram?

A Venn diagram is defined as a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not.

Given data as :

In a survey conducted among the people

The number of people like to eat green vegetables = 200,

The number of people like fruits = 200 and

The number of people like both of them = 100

According to attached Venn-Diagram,

The number of people who like at least one of them = 100 + 100 + 100

The number of people who like at least one of them = 300

Hence, the number of people who like at least one of them is 300 people.

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In a survey conducted among the people, 200 like to eat green vegetables, 200 like fruits and 100 like

The length, l, of the shadow cast by an object varies directly as the height, h, of the object. If k is the constant of variation, which equation represents this situation?

A.
l + h = k
B.
lh = k
C.
l = hk
D.
l = h + k

Answers

Answer:

C. l = hk

Step-by-step explanation:

the equation for direct variation is y = xk (or y/x = k) so you just replace y and x with l and h

The length of the shadow cast l represents by situation l = hk. Hence, option (C) is correct.

What is the linear relation of an equation?

An equation has a linear relation if a variable from that equation varies linearly with the other variable.

for example, x is varied linearly with y then we can write

x ∝ y

x = yk where k will be the constant of variation.

Given that length, l is varies directly as the height h

Hence, l = hk will be the correct representation.

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what is : 27 X 1/100 = ?
Multiply

Answers

The answer is .27 or 27/100

Answer/Step-by-step explanation:

\(27*\frac{1}{100}\)

= \(27*1=27\)

\(\frac{27}{100}\)

Decimal Form = .27

This box is 3/4 inch long 1/2 inch wide and 1/4 inch deep what is the volume of the box ?

This box is 3/4 inch long 1/2 inch wide and 1/4 inch deep what is the volume of the box ?

Answers

Answer:

v = l * w * h

v = 3/4 * 1/2 * 1/4 = 3/32 or 0.09375

The functions fand g are defined as follows.
f(x) = -3x² - 2

g(x) = -5x +4
Find f (4) and g(6).
Simplify your answers as much as possible.
f(4) = ___
g(6)=____

Answers

Answer:

f(4)=-50---g(6)=-26

Step-by-step explanation:

4^2=16

16 times -3=-48

-48-2=-50

6 times -5=-30

-30 plus 4=-26

jace's math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. based on the line of best fit, how much time should someone study to expect a quiz score of 96?

Answers

according to the line of best fit, someone should study approximately 10.67 hours to expect a quiz score of 96.

Without knowing the equation of the line of best fit, it's difficult to give an exact answer. However, we can use the line of best fit to estimate the number of hours of study needed to expect a quiz score of 96.

Assuming the line of best fit is a linear regression model, we can use the equation:

y = mx + b

where y is the quiz score, x is the number of hours studied, m is the slope of the line, and b is the y-intercept.

If we know the values of m and b, we can substitute them into the equation and solve for x when y = 96.

So, if the equation of the line of best fit is y = 1.5x + 80, then:

96 = 1.5x + 80

16 = 1.5x

x = 10.67

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find the midpoint between (1,2) and (11,12)

find the midpoint between (1,2) and (11,12)

Answers

The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

We have to given that;

To find the midpoint between (1,2) and (11,12).

Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, By definition of midpoint, we get;

The midpoint between (1,2) and (11,12) is,

⇒ (1 + 11)/2, (2 + 12) / 2

⇒ (12/2, 14/2)

⇒ (6, 7)

Thus, The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

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A military drone can fly at 5 miles per hour in calm conditions. For one flight, the drone flew 35 miles with the wind and 15 miles against the wind in the same amount of time. What was the wind speed for the flight

Answers

The wind speed for the flight is 2 miles per hour.

How to find the wind speed?

Let's assume the wind speed is represented by "w" miles per hour.

When the drone flies with the wind, its effective speed is the sum of its own speed and the wind speed, so it travels at 5 + w miles per hour. Therefore, the time it takes to fly 35 miles with the wind is given by:

time = distance / speed

time = 35 / (5 + w)

Similarly, when the drone flies against the wind, its effective speed is the difference between its own speed and the wind speed, so it travels at 5 - w miles per hour. The time it takes to fly 15 miles against the wind is given by:

time = distance / speed

time = 15 / (5 - w)

Since the flight time is the same for both scenarios, we can set the two expressions for time equal to each other:

35 / (5 + w) = 15 / (5 - w)

Now, we can solve this equation to find the value of "w," the wind speed.

Cross-multiplying:

35(5 - w) = 15(5 + w)

175 - 35w = 75 + 15w

Combining like terms:

50w = 100

Dividing both sides by 50:

w = 2

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According to math modeling, what values cannot vary without consequence?

Answers

In mathematical modeling, some values are considered fixed and cannot vary without consequence. These values are often referred to as constants or parameters, and they represent physical or environmental properties that are assumed to be constant throughout the problem.



For example, in a mathematical model of the motion of a pendulum, the length of the pendulum, the mass of the weight, and the force of gravity are typically considered constants that cannot vary without consequence. If any of these values were to change, the motion of the pendulum would be affected, and the solution to the problem would be different.

Similarly, in a mathematical model of heat transfer, the thermal conductivity of the material, the heat source or sink, and the boundary conditions are typically considered constants that cannot vary without consequence. If any of these values were to change, the temperature distribution and heat transfer rate within the system would be affected, and the solution to the problem would be different.

The choice of which values to consider as constants or parameters depends on the specific problem being modeled and the assumptions made.

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Patrice and her husband are going on a 6-mile hike. So far they have hiked
3 miles. How much farther do Patrice and her husband have left to hike?
3

Answers

Answer:

3 miles

Step-by-step explanation:

6 total miles

3 miles done

6 (total) = 3 (done) + x (unknown)

x = 6 - 3

x = 3

3 miles left to hike

lincoln high school has an enrollment of 3150 students; desert mountain high school has an enrollment of 2475 students. lincoln high is projecting a decrease in enrollment at an average of 75 students per year. desert mountain is projecting an increase in enrollment of 60 students per year. at these projected rates, in how many years will the two schools have an equal number of students enrolled?

Answers

The two schools will have an equal number of students enrolled in 21 years (3150 + 75(21) = 2475 + 60(21)).

The solution involves applying algebraic equation to find the unknown value.

The two high schools, Lincoln High School and Desert Mountain High School, have 3150 and 2475 students enrolled, respectively. Lincoln High School is estimating a decrease in enrollment at an average of 75 students per year. Meanwhile, Desert Mountain High School is expecting an increase of 60 students per year.

At these projected rates, the schools will have an equal number of students enrolled in 21 years.

To calculate the number of years that the two schools will have an equal number of students enrolled, you can use the formula:

L + 75x = D + 60x

Where L is the initial enrollment of Lincoln High School, D is the initial enrollment of Desert Mountain High School, and x is the number of years.

Substituting the given values, we get:

3150 + 75x = 2475 + 60x

Solving for x, we get:

15x = 675

x = 45

Therefore, the two schools will have an equal number of students enrolled in 21 years (3150 + 75(21) = 2475 + 60(21)).

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12-(3-5) to the 2 power divided by 10 divided by 5x2

12-(3-5) to the 2 power divided by 10 divided by 5x2

Answers

Answer:

Step-by-step explanation:

let's start from the top

12-(3 - 5)^2

12 - ( 3-5)*(3-5)

12 - ( 9 - 30 +25)

  remember! there's a negative sign that we must                

  multiply to the numbers inside the brackets

12 - 9 +30 - 25

3+30-25

8

the buttom

10/5.2

                      from the left side first

2*2 = 4

8/4 = 2 , and done!

 

what is the cardinary set of {1 2 3 4 5 6 7}

Answers

Answer:

n(A)=8 it is denoted and answer is 8

Step-by-step explanation:

Hope this helps

Brainliest pls ❤️

Bonjour,
Quelqu'un pourrait m’aider svp.

Bonjour,Quelqu'un pourrait maider svp.

Answers

a-/ |-5-10| = 15 ; |-2√2-√12|=2√3+√12 ; |-π-4π|=5π

PLS HELP 30 PTS!!!Use the coordinate plane to help you identify the length of each leg then use the Pythagorean Theorem to find the length of CD

Type your answer in the box.

Note: Type in only numeric part of the answer. Round your answer to the nearest hundredth.

Example: 12.70

PLS HELP 30 PTS!!!Use the coordinate plane to help you identify the length of each leg then use the Pythagorean

Answers

Answer:

it says 15 points not 30

Step-by-step explanation:

Answer:

10.30

Step-by-step explanation:

Pythagorean Theorem is \(a^{2}\) + \(b^{2}\) = \(c^{2}\).  The short leg(a) is 5 units long and the long leg(b) is 9 units long.  CD is the hypotenuse, the longest side (c).

\(5^{2}\) +\(9^{2}\) =\(c^{2}\)

25+81=\(c^{2}\)

106=\(c^{2}\)

\(\sqrt{106}\) = \(\sqrt{c^{2} }\)

10.29563014 = c

Rounded to the nearest hundredth, 10.30

To check this is correct, the hypotenuse is the longest side, and 10.30 is longer than 5 and 9.  

Six children named Alicia, David, Maria, Brian, Stephanie, and Ben has a different favorite subject. These subjects are math, science, social studies, reading, phyiscal education, and art. Which child enjoys which subject. Clues:1.) None of the girls like art best. 2.)Alicia enjoys playing soccer and softball. 3.)The child who likes social studies best and the child who likes science best are siblings. 4.)The name of the boy who likes art best comes after the names of the other two boys alphabetically. 5.)The next number in the sequence is the number of letters of the child who likes science the best.(25,21,17,13,) 6.) Maria is the only one who has to change clothes for his or her favorite subject. 7.)Ben and Alicia are "only" children. They have no siblings. 8.)Alicia asked whose favorite subject is math for help with her math problems.

Answers

We can conclude that Alicia likes Physical Education, David likes Social Studies, Maria likes Reading, Brian likes Science, Stephanie likes Math, and Ben likes Art.

1. None of the girls like art best. This rule eliminates Alicia, Maria, and Stephanie from liking art, leaving only the boys.

2. Alicia enjoys playing soccer and softball, which are sports typically associated with Physical Education.

3. The child who likes social studies best and the child who likes science best are siblings. Based on this, David must be the one who likes social studies since he cannot be a sibling of Maria, who likes reading. Brian must like science since he is David's sibling.

4. The name of the boy who likes art best comes after the names of the other two boys alphabetically. This rule eliminates Brian and David from liking art, leaving only Ben.

5. The next number in the sequence is the number of letters of the child who likes science the best. The sequence of numbers is 25, 21, 17, 13, which corresponds to the number of letters in the names of the children who like Physical Education, Social Studies, Reading, and Science, respectively.

6. Maria is the only one who has to change clothes for his or her favourite subject. This rules out Physical Education and Social Studies as Maria's favourite subject, since changing clothes isn't typically necessary.

7. Ben and Alicia are "only" children. They have no siblings. This rule confirms that David and Brian are siblings.

8. Alicia asked whose favourite subject is math for help with her math problems. This means that Stephanie must like math since nobody else does.

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ote: Enter your answer and show all the steps that you use to solve this problem in the space provided.


Solve the system by elimination.














2

x

+

2

y

+

3

z

=

0



2

x



y

+

z

=



3

2

x

+

3

y

+

3

z

=

5

Answers

Answer:

Step-by-step explanation:

SIZZZZAAAAA

Solve for x:
(5x + 12) = 18

Answers

Answer:

x=6/5

Step-by-step explanation:

5x+12=18→ 5x=18-12

5x=6 divide

x=6/5

Answer:

x=6/5

Step-by-step explanation:

(5x+12)=18

5x+12=18

5x=18-12

5x=6

x=6/5

Life application on the equation of the circle

Answers

Solution: We know, the equation of a circle is given by, (x – x1)² + (y -y1)² = r², where x1 and y1 are the coordinates of the center of the circle and r is the radius. Since the circle passes through the origin, the values of x1 and y1 will be zero.

If i buy a disc which costs $16,30, there's a 10% discount. how much i'm i going to pay?

Answers

The price we have to pay for the disc after 10% discount is 1467 dollars.

What is percentage ?

Percentage is the value per hundredth.

According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.

10% of 1630 dollars will be

= (10/100) × 1630 dollars.

= 16300/100 dollars.

= 163 dollars.

So, the price we have to pay for the disc after 10% discount is

= (Total amount - Discount amount)

= ( 1630 - 163 ) dollars.

= 1467 dollars.

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whats the answer to this question

whats the answer to this question

Answers

Answer:

X and y answer is 45 degrees

Answer:

x = 20, y = 70 degrees.

Step-by-step explanation:

x + y = 90 degrees  ( As the large triangle is right-angled).

Now x is the base angle of an isosceles triangle so the small angle that is part of the right angle = x. Call this angle z.

Consider the small triangle which includes 40 degrees:

y + 40 + 90 - z = 180     But as  z = x:

y + 130 - x = 180

y - x = 50

Adding the equation to the highlighted equation above we have:

2y = 90 + 50

2y = 140

y = 70 degrees.

So x + 70 = 90

giving x = 20 degrees.

Taken perpendicular to the base, which of the following solids has a cross section that is a triangle?
A. triangular prism
B. rectangular pyramid
C. rectangular prism
D. cube

Answers

Answer:

b

Step-by-step explanation:

If the interest rate is 5 percent, the present value of $225 received at the end of five years is: o $176.29. o $132.62. o $121.34. o $156.71.

Answers

Answer:

The present value of $225 received at the end of five years with an interest rate of 5% is $176.29.

if p = 2^k + 1 is prime, show that every quadratic nonresidue of p is a primitive root of p.

Answers

Every quadratic nonresidue of p is a primitive root of p, when p = 2^k + 1 is primeIf p = 2^k + 1 is a prime number, we want to show that every quadratic nonresidue of p is a primitive root of p.

In other words, we aim to prove that if an element x is a quadratic nonresidue modulo p, then it is also a primitive root of p.

Let's assume p = 2^k + 1 is a prime number. To prove that every quadratic nonresidue of p is a primitive root of p, we can use the properties of quadratic residues and quadratic nonresidues.

A quadratic residue modulo p is an element y such that y^((p-1)/2) ≡ 1 (mod p), while a quadratic nonresidue is an element x such that x^((p-1)/2) ≡ -1 (mod p).

Now, let's consider an element x that is a quadratic nonresidue modulo p. We want to show that x is a primitive root of p.

Since x is a quadratic nonresidue, we know that x^((p-1)/2) ≡ -1 (mod p). By Euler's criterion, this implies that x^((p-1)/2) ≡ -1^((p-1)/2) ≡ -1^2 ≡ 1 (mod p).

Since x^((p-1)/2) ≡ 1 (mod p), we can conclude that the order of x modulo p is at least (p-1)/2. However, since p = 2^k + 1 is a prime, the order of x modulo p must be equal to (p-1)/2.

By definition, a primitive root of p has an order of (p-1). Since the order of x modulo p is (p-1)/2, it follows that x is a primitive root of p.

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A town is having an event where local restaurants showcase their best dishes. a party tent will be set up in the town square for this event. the entrance to this tent is to be 72 inches high. the residents of the town have heights that are approximately normally distributed with a mean of 67.8 inches and a standard deviation of 4.2 inches. based on the empirical rule, what is the probability that a resident will be too tall to enter the tent without bowing his or her head? express your answer as a decimal to the hundredths place.

Answers

There is a 0.32 probability that a resident will be too tall to enter the tent without bowing their head.

Based on the empirical rule, approximately 68% of the residents will have heights within one standard deviation (4.2 inches) of the mean (67.8 inches).

Therefore, the probability of a resident being too tall to enter the tent without bowing their head is approximately 32% (100% - 68%).

To express this probability as a decimal to the hundredths place, the answer is 0.32.

In conclusion, there is a 0.32 probability that a resident will be too tall to enter the tent without bowing their head.

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Will give brainiest to correct answer


3. BestBuy is offering 30% off all items. If x is the original purchase prices, select
ALL of the expressions which represent the final price with the discount
B. 0.7x
A 13x
C. X
D. X -0.3x
EX+ 0.3%

Answers

Answer:

B and D

Step-by-step explanation:

simple math :)

Answer:

B and D

Step-by-step explanation:

Just took the test

Please follow me

I need help with this​

I need help with this

Answers

Answer:

Step-by-step explanation:

add up the total people in the survey

7 + 33 + 56 + 42 + 12 = 150

divide 12 by 150 = .08   or 8%

now multiply .08 * 100,000 = 8,000

so B looks like a good answer

Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. Students Who Feel More Focused after Exercise 20% 20% 20% 20% 20% How many students said they feel more focused after exercising?Eighty percent of students surveyed said they feel more focused after exercising. Nine hundred fifty students were surveyed. Students Who Feel More Focused after Exercise 20% 20% 20% 20% 20% How many students said they feel more focused after exercising?

Answers

Answer:760

Step-by-step explanation:

Answer:

760

Step-by-step explanation:

Other Questions
Can some help in this Determine whether the random variable is discrete or continuous. State the possible values of the random variable. Horses can be cremello (light cream color), chestnut (a brownish color) or palomino(golden color with white in the horse's tail and mane). Of these phenotypes, only palominos never breed true. ParentsF1 Progeny(A) Cremello x Palomino1/2 cremello & 1/2 palamino(B) Chestnut x Palomino1/2 chestnut & 1/2 palomino(C) Palomino x Palomino1/4 chestnut, 1/4 cremello, 1/2 palomino Choose an action word to replace the word weeps in the poem Piano by D.H. Lawrence. Write your word, then describe how the change in word choice impacts the meaning, tone, and mood of the poem.Piano by d.H. LawrenceSoftly, in the dusk, a woman is singing to me; Taking me back down the vista of years, till I see A child sitting under the piano, in the boom of the tingling strings And pressing the small, poised feet of a mother who smiles as she sings. In spite of myself, the insidious mastery of song Betrays me back, till the heart of me weeps to belong to the old Sunday evenings at home, with the winter outside And hymns in the cosy parlour, the tinkling piano our guide. What is the value of x? A car rental company uses the following linear equation to determine how much a car rentalwill cost a customer. The equation is y = 75 + .11x where x is the number of miles driven andy is the cost. Answer the following questions about the scenario:a) What is the slope of this equation and what does it mean in the context of this problem(in terms of miles driven and cost)?b) What is the y-intercept and what does it mean in the context of this problem (in termsof miles driven and cost)?c) Find the cost if the car is driven from Orlando to Key West and back to Orlando which is786 miles and explain how you found it. (Note: 786 miles is roundtrip.) Identify a company website that in your opinion violates one or more of the principles of good design discussed so far. Write a brief analysis (no more than one page) of the site, citing specific elements from what you've learned so far. Be sure to include a live link in your discussion post. Print, then use the following image to create a tangent line. Upload the constructed image as your final answer. ________ occurs when a person is holding an object that is directly hit or splashed by lightning. How Did the Constitution Guard Against Tyranny? essay Given sin0= 3/7, and tan0 The consuming units in an economy are known as firms. factors. A entrepreneurs. O households. what are two numbers that are greater than 14 but less than 15 Discrimination against or the putting down of groups of people on the basis of their social identity or characteristics is known as: Question 1 (5 points) Saved The demand curve for automobiles will shift to the left if: Interest rates increase. Advertising expenditures increase. The price of steel decreases. The price of automobiles decreases. at the molecular level: a. create a question a researcher would ask at this level b. give an example of an experiment that could be done to answer questions at this level Discuss 2-3 effective strategies to maintain professionalism during coaching sessions when unethical actions take place? how did japan and Germany react when their actions were condemned by the league of nations? what is 7.2 times 10 with the exponent of 5 What is the y-intercept of the line with the equation 4x + 9y = - 108?a. 27b. 12c. -27d. -12