A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out the maximum amount of profit the company can make, to the nearest dollar.

y=-x^2+90x-454

Answers

Answer 1

9514 1404 393

Answer:

  $1571

Step-by-step explanation:

If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...

  ymax = $1571

The maximum profit the company can make is $1571 at a selling price of $45 each.

_____

The function can be written in vertex form as ...

  y = -(x^2 -90x) -454

  y = -(x^2 -90x +45^2) -454 +45^2

  y = -(x -45)^2 +1571

Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.

A Company Sells Widgets. The Amount Of Profit, Y, Made By The Company, Is Related To The Selling Price

Related Questions

Which equation represents exponential decay?
O A y = 100(31)
O B. y = 1 (3.1)
C. y = 10(0.13)
D. y = 100(1.03)

Answers

Answer:

The function y = 10(0.13)ˣ represents exponential decay.

Hence, option C is the correct function.

Step-by-step explanation:

We know that an exponential function is of the form

y = abˣ

where 0 < b < 1

Please note that an exponential function cannot have a base of 0, 1, or a negative value.

Now, if we carefully observe, the function y = 10(0.13)ˣ is the only option correct as

here 0 < b < 1 and a > 0

Therefore, the function y = 10(0.13)ˣ represents exponential decay.

Hence, option C is the correct function.

please answer the following

Answers

Make the students section to 20 and the adults section to 4

please help thank you so much

Answers

Answer:

Q=63 degrees

Step-by-step explanation:

R=60 degrees

since T=123 degrees, S=180-123=57 degrees

There is 180 degrees in a triangle

Q=180-60-57

Q=63 degrees

Use the slope formula to find the slope between the given two points. (2, 1) and (8, 9)

Answers

Answer:

if the two points are known. 4/3 or 1.333

Two important ingredients for baking bread are yeast and flour. To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200. If you're making a loaf of more than 30 servings, use a ratio of 1:180. If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need?

Answers

If you're making 30 servings of bread and using 0.45 oz of yeast, how many ounces of flour do you need? ANSWER=90

If you're making 90 servings of bread and using 720 oz of flour, how many ounces of yeast do you need? ANSWER=4

The flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Given to us

To make a loaf of bread of at most 30 servings, maintain a yeast to flour ratio of 1:200.

To make a loaf of bread of more than 30 servings, maintain a yeast to flour ratio of 1:180.

Ratio for 30 Servings

A.)  If We are making 30 servings of bread and using 0.45 oz of yeast,

As it is given that for 30 servings we must maintain a yeast to flour ratio of 1:200, therefore,

[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{200}[/tex]

Using the ratio for 0.45 oz of yeast,

[tex]\rm \dfrac{0.45\ oz}{Flour} = \dfrac{1}{200}[/tex]

[tex]\rm {Flour} = 200 \times 0.45\ oz[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Ratio for 90 Servings

B.)  If We are making 90 servings of bread and using 720 oz of flour,

As it is given that for more than 30 servings we must maintain a yeast to flour ratio of 1:180, therefore,

[tex]\rm \dfrac{Yeast}{Flour} = \dfrac{1}{180}[/tex]

Using the ratio for 720 oz of flour,

[tex]\rm \dfrac{Yeast}{720\ oz} = \dfrac{1}{180}[/tex]

[tex]\rm {Yeast} = \dfrac{720\ oz}{180}[/tex]

[tex]\rm {Flour} = 90\ oz[/tex]

Thus, we will use 90 oz of the flour for 0.45 oz of yeast to serve 30 people.

Hence, the flour that will be used for 30 servings is 0.90 oz, while the yeast that will be used for 90 servings is 90 oz.

Learn more about Ratio:

https://brainly.com/question/1504221

3x + 16 = 136

(3 seconds per item, plus 16 seconds to process payment, equals 136 seconds total.)

Subtract 16 from each side. Then divide both sides by 3.

Answers

Answer:

x = 40

Step-by-step explanation:

jan takes her dog for a walk.
she leaves her house at 11:40am and returns at 12:17pm.
how long did the walk take?

Answers

Answer:

37 minutes. :))

Step-by-step explanation:

Rose was tracking the movements of a rabbit and plots the movements of the rabbit on this graph.
Calculate the fastest speed that Rose observes the rabbit move.

Answers

Answer:

2.25 m/s

Step-by-step explanation:

Looking at the graph, we observe that the interval CD is when the speed was the fastest

Let's calculate this, use points C(4,3), D(12,12)

(12 - 3)/(12 - 8) = 9/4 = 2.25 m/s

Expression 10 x (250 + 45) years

Answers

Answer:

2950

Step-by-step explanation:

the answer is 2950 the reason why is if u solve the given problem this is what you get

Answer:

250+45=325 x 10=3250

Step-by-step explanation:

Find the scale factor

Answers

Answer:

36/x =48/24

36/x =2

2x= 36

x= 36/2

x=18

What is 123x264 answer fast

Answers

Answer:

theres something call a calculator but anyways lol the answer is 32472

Answer:

32,472 is the correct answer

What is the volume of the following rectangle prism? Plz help

Answers

Answer:

7 2/3 or 7.666

Step-by-step explanation:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

since we only have two points we have to do

4/3 x 23/4 = 7 2/3 or 7.666

so the answer is 7 2/3 or 7.666

P and q are points on the line y=2-4X

Draw the line y= 2-4X for vales of x from -2 to 2

Answers

Answer:

`The answer is below

Step-by-step explanation:

P and q are points on the line y=2-4X. complete the coordinates of P and Q, P(0, ) Q( ,0)

Draw the line y= 2-4X for vales of x from -2 to 2

Solution:

The equation of a line is given by:

y = mx + b

Where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x = 0).

The line of y = 2 - 4x is drawn by finding the corresponding values of y for x from -2 to 2 and plotting on a graph.

x:   -2      -1       0        1        2

y:   10      6       2       -2       -6

The value P(0, ) Q( ,0)

The y coordinate of point P is gotten by substituting x = 0:

y = 2 - 4(0) = 2

P = (0, 2)

The x coordinate of point Q is gotten by substituting y = 0:

0 = 2 - 4x

4x = 2

x = 0.5

Q = (0.5, 0)

Write a quadratic function to model the graph. Please help!!

Answers

Answer:

80 because that you need to work on

1. Mr. Jones is correcting math test. Here are the scores for the
first fourteen tests he corrected 62, 65,93, 51, 55, 12,79,
85, 55, 72, 78, 83, 91, and 76. Which score does not seem
to fit the data? Explain how the outlier score affects the
mean and the median of the data.

Answers

Answer:

12

Step-by-step explanation:

12 doesn't fit the data because it is so much farther from the general average of the others.

12 affects the median because with it, the median is 74. but without 12, the median is 76.

12 affects the mean because with it, the mean is 68.36. but without 12, the mean is 72.69.

Writing Equations of Lines

Answers

Answer:

Please leave more information.

Step-by-step explanation:

2y - x = -8
Put it in line slope-intercept simplifying all fractions

Answers

2y-x=-8
2y=x-8
y=1/2x-4 is the slope intercept form

Rewrite in slope-intercept form.
10x + 2y = 8
Enter your answer in the form y=mx+c
Simplify your answer if possible using integers or simplified fractions. Example: y=3/4x-2
10x+2y=8

Answers

Answer:

y = -5x + 4

Step-by-step explanation:

Solve for y

10x + 2y = 8

2y = -10x + 8

y = (-10x)/2 + 8/2

y = -5x + 4

Help im behind my math class. pls

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

From the given diagram, we can observe that r and s are the two parallel lines intersected by the two transversal lines.

Therefore, the pairs of alternating interior angles formed by the two transversal lines are:

∠1  & ∠5 ∠2 & ∠4∠2 & ∠7 ∠3 & ∠6

We know that alternating interior angles formed by a transversal line are congruent.

Thus,

∠1  = ∠5 ∠2 = ∠4∠2 = ∠7 ∠3 = ∠6

Part a)

Given

m∠1 = 3x + 42

m∠5 = 8x - 8

As

∠1  = ∠5

So

3x + 42 =  8x - 8

flipe the equation

8x - 8 = 3x + 42

subtract 3x from both sides

8x - 8 - 3x = 3x + 42 - 3x

5x - 8 = 42

add 8 to both sides

5x - 8 + 8 = 42 + 8

5x = 50

divide both sides by 5

5x/5 = 50/5

x = 10.0000 (Rounded to four decimal places)

Thus, the value of x = 10.0000 (Rounded to four decimal places)

Part b)

Given

m∠6 = 12°

It is clear that angles ∠6 and angle ∠7 lie on a straight line.

Thus,

The sum of ∠6 and ∠7 is 180°.

∠6 + ∠7 = 180°

substituting m ∠ 6 = 12° in ∠6 + ∠7 = 180°

12° + ∠7 = 180°

subtract 12 from both sides

12° + ∠7 - 12° = 180° - 12°

∠7 = 168°

Thus, measure of angle ∠7 = 168°.

We already know that alternating interior angles formed by a transversal line are congruent.

∠7 and ∠2 are alternating interior angles.

Thus,

∠2 = ∠7

As ∠7 = 168°.

Therefore,

∠2 =  168°

Hence, we conclude that

∠2 =  168°

21 of an ice cream company's flavors contain nuts.
How many total flavors does the company make if
30% of them contain nuts?

PLEASE HELP ME! :(

Answers

Answer:

The company has 70 falvors

The quotient of 9 and a number less 4

Answers

Answer:

ead the excerpt from "The Most Dangerous Game,” by Richard Connell.

His foot touched the protruding bough that was the trigger. Even as he touched it, the general sensed his danger and leaped back with the agility of an ape. But he was not quite quick enough; the dead tree, delicately adjusted to rest on the cut living one, crashed down and struck the general a glancing blow on the shoulder as it fell; but for his alertness, he must have been smashed beneath it. He staggered, but he did not fall; nor did he drop his revolver. He stood there, rubbing his injured shoulder, and Rainsford, with fear again gripping his heart, heard the general's mocking laugh ring through the jungle.

Which analysis best explains the effect of adding the female character

Step-by-step explanation:

EASY ALGEBRA! HELP PLEASEEE <3

Fill in the blank with a number to make the expression a perfect square.

v²-14v+__

(fill in where the underscore is)
I know the answer is 49, But please just work out the problem!!

Answers

v^2-14v+_49_
2v-14v+49(combine like terms)
12v+49
V=61
I hope its right

a
\large 140\frac{1}{2}

b
\large 140\frac{1}{3}

c
\large 141

d
\large 140\frac{3}{4}

Answers

i think the correct answer is b

How do I do this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 5

Step-by-step explanation:

39° + 90° + (7x + 16)° = 180°

39 + 90 = 129

180 - 129 = 51

7x + 16 = 51

7x + 16 - 16 = 51 - 16

7x = 35

7x/7 = 35/7

x = 5

Plsssssss help meeeeeeeeeeeee I need help

Answers

Answer:

honestly I think its QT

Step-by-step explanation:

hope it helps

What is the square root of X with an exponent of 7?

Answers

Answer:

[tex] {x}^{3} \sqrt{x} [/tex]

Step-by-step explanation:

hope it helps ☺️

suggestions : Photomath application

it will be explained you about how to find solutions.

how to find the surface area of a triangular prism

Answers

Answer:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Step-by-step explanation:

for all positive values of x the value of ^log x ^x is always __ and the value of ^log x ^1 is always__

Answers

Answer: 1, 0

Step-by-step explanation: Logarithm base x of x is 1 and Logarithm base x of 1 is 0.

The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .

What is a Logarithm base?

It is the function where the log , base a of the x. It shows the inverse of the exponential function so here the exponential form be used.

So we can conclude that The positive values of x so here the value of [tex]log x ^x[/tex] should always be 1 and the value of [tex]log x ^1[/tex] should be 0 .

Hence, the above answers are correct.

Learn more about values here: https://brainly.com/question/20347857

If 7 + 3x = 22, then 2x = ?
O 5
O 10
O 12
0 14
og
3

Answers

Answer:

10

Step-by-step explanation:

Answer:

2x=10

Step-by-step explanation:

Hy my friend needs help with her math I say it’s pretty easy but it cuz I have my hw to do .. so can someone help her out ?!

Answers

There are 16800 grams :)

Answer: the answer I’m is 16,800

Step-by-step explanation:

To find the number of kg you multiply the number by 1,000.

16.8*1,000=16,800

Other Questions
If the cost of production decreases for Teslas cars, what effect will this have on consumers who want to buy one?? Which of the following normally leads to the production of functional messenger RNA in eukaryotic cells? why do you think the framers of the constitution included the 10th amendment in the bill of rights A pencil pouch has 12 pencils and 30 led pencils, What is the ratio ofpencils to led pencils? Literary analysis is useful because it can help you:A. Explain why an author is making a certain point.B. Avoid being persuaded to buy things you don't need.C. Take effective notes while reading a textbook.D. Learn the names of characters more quickly. You've created a new programming language, and now you've decided to add hashmap support to it. Actually you are quite disappointed that in common programming languages it's impossible to add a number to all hashmap keys, or all its values. So you've decided to take matters into your own hands and implement your own hashmap in your new language that has the following operations:insert x y - insert an object with key x and value y.get x - return the value of an object with key x.addToKey x - add x to all keys in map.addToValue y - add y to all values in map.To test out your new hashmap, you have a list of queries in the form of two arrays: queryTypes contains the names of the methods to be called (eg: insert, get, etc), and queries contains the arguments for those methods (the x and y values).Your task is to implement this hashmap, apply the given queries, and to find the sum of all the results for get operations.ExampleFor queryType = ["insert", "insert", "addToValue", "addToKey", "get"] and query = [[1, 2], [2, 3], [2], [1], [3]], the output should be hashMap(queryType, query) = 5.The hashmap looks like this after each query:1 query: {1: 2}2 query: {1: 2, 2: 3}3 query: {1: 4, 2: 5}4 query: {2: 4, 3: 5}5 query: answer is 5The result of the last get query for 3 is 5 in the resulting hashmap.For queryType = ["insert", "addToValue", "get", "insert", "addToKey", "addToValue", "get"] and query = [[1, 2], [2], [1], [2, 3], [1], [-1], [3]], the output should be hashMap(queryType, query) = 6.The hashmap looks like this after each query:1 query: {1: 2}2 query: {1: 4}3 query: answer is 44 query: {1: 4, 2: 3}5 query: {2: 4, 3: 3}6 query: {2: 3, 3: 2}7 query: answer is 2The sum of the results for all the get queries is equal to 4 + 2 = 6.Input/Output[execution time limit] 4 seconds (py3)[input] array.string queryTypeArray of query types. It is guaranteed that each queryType[i] is either "addToKey", "addToValue", "get", or "insert".Guaranteed constraints:1 queryType.length 105.[input] array.array.integer queryArray of queries, where each query is represented either by two numbers for insert query or by one number for other queries. It is guaranteed that during all queries all keys and values are in the range [-109, 109].Guaranteed constraints:query.length = queryType.length,1 query[i].length 2.[output] integer64The sum of the results for all get queries.[Python3] Syntax Tips# Prints help message to the console# Returns a stringdef helloWorld(name):print("This prints to the console when you Run Tests")return "Hello, " + name Alicia borrowed $3000 from the bank at a rate of 12% simple interest per year. How much TOTAL did she pay the bank back after 5 years? (Hint: do NOT add the amount back to the money she borrowed) 50 points! I will mark brainliest! Random answers will be reported. At several locations in Rome, there were many public toilets that were Inequalitys c) Solve 3x + 7 > x + 19 12. A bag weighing 20 N CARRIED horizontally a distance of 35 m, How muchwork is done on the bag in Joules? (Do not put units with your answer.) W=Fd *Your answer13. A child performs 10J of work in lifting a box 1 m in 2 seconds. How muchpower did the child apply to the box? (Do not include units with your answer.)P=W/t *Your answer the gravitational force produced between any twoobjects kept at 2.5*10^km apart is 580N. at what distanceshould they be kept so that the gravitational force becomeshalf? Help me do this Please please -2 + 12y = -3x = -3 the Jones family and Khan family go to the fayre. The Jones family pay 76.50 for 4 adults and 5 children. The Khan family pay 48 for 2 adults and 4 children. please answer in 5 or more sentences , I live in los angeles When Germany resumed __________ submarine warfare, the U.S. broke off diplomatic relations. Step 7: Determine the Limiting Reactant (Trial 2)50Analysis: The limiting reactant(s) appeared to bebecause ... science question i dont know v.2 Simplify using Synthetic Division