Let x and y be two positive numbers whose sum is 175 and (x+3)(y+4) is a maximum

Answers

Answer 1

Answer:

Step-by-step explanation:

x+y = 175

y = 175 - x

f(x) = (x+3)(y+4)

= x(175-x) + 3(175-x) + 4x + 12

= 175x - x² + 525 - 3x + 4x + 12

= -x² +176x + 537

f'(x) = -2x + 176

maximum when x = 88

y = 175-x = 87


Related Questions

Jeremy users 18 inches of twine for each box he packs for shipping. how many yards of twine does he need to wrap 5 boxes?

Answers

Answer:

2.5 yards of twine

Step-by-step explanation:

1 box = 18 inches

5 boxes = 18 x 5 = 90 inches

90 inches = 2.5 yards

Write 7/40 as a
percent. explain plz

Answers

17.5

This is because if you do the math: (7/40)*100 you get 17.5!

So divide 7 by 40 and then multiply it by 100!

7/40=0.175
0.175*100=17.5

A small liberal arts college in the Northeast has 350freshmen. One hundred five of the freshmen are female. Suppose sixty freshmen are randomly selected (without replacement).Step 2 of 2:Find the standard deviation of the number of females in the sample. Round your answer to two decimal places, if necessary.

Answers

Answer:

The standard deviation of the number of females in the sample is 3.21.

Step-by-step explanation:

For each freshmen, there are only two possible outcomes. Either it is a female, or it is not. Sixty freshmen are randomly selected (without replacement). This means that the hypergeometric distribution is used to solve this question.

Standard deviation of the hypergeometric distribution:

We have that:

N is the population size.

n is the sample size.

s is the number of successes in the sample.

The standard deviation is given by:

[tex]\sigma = \sqrt{n(\frac{s}{N})(1 - \frac{s}{N})(\frac{N - n}{N-1})}[/tex]

A small liberal arts college in the Northeast has 350freshmen.

This means that [tex]N = 350[/tex]

One hundred five of the freshmen are female.

This means that [tex]s = 105[/tex]

Suppose sixty freshmen are randomly selected

This means that [tex]n = 60[/tex]

Find the standard deviation of the number of females in the sample.

[tex]\sigma = \sqrt{60(\frac{105}{350})(1 - \frac{105}{350})(\frac{350 - 60}{350 -1})} = 3.21[/tex]

The standard deviation of the number of females in the sample is 3.21.

A group of friends really love to go bowling together. Here are a set of final scores from a recent bowling trip: 147, 160, 80, 110, 121, 164, 62, 90, 76, 83, 110 What is the median

Answers

Answer:

110

Step-by-step explanation:

The first step is to rearrange the number from smallest to the biggest

62, 76, 80, 83, 90, 110, 110, 121, 147, 160, 164

Median is described as the middle number

Hence the median is 110

6) The Delphi method used for forecasting: A) uses a single measure that weights multiple indicators and provides a measure of overall expectation. B) obtains forecasts through a comparative analysis with a previous situation. C) uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires. D) uses measures that are believed to influence the behavior of a variable that the researcher wishes to forecast.

Answers

Answer:

C) uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

There are various types of sampling used by researchers and these are;

1. Random sampling.

2. Systematic sampling.

3. Stratified sampling.

4. Cluster sampling.

5. Opportunity or convenience sampling.

The Delphi method is a structured communication framework or technique that is typically used as an interactive forecasting method to arrive at a group decision or opinion by relying on the feedback from a panel of experts. The individual opinions of the panel of experts are modified to ensure anonymity and are mainly an unbiased exchange of ideas, so as to produce a convergence of opinions.

Hence, the Delphi method used for forecasting uses a panel of experts, whose identities are typically kept confidential from one another, to respond to a sequence of questionnaires.

help me please thank you

Answers

Answer:

3/2 and 3/4 are both not multiples of 1/3.

Step-by-step explanation:

They have to have 3 as the denominator (or the number below the line) to be a multiple of 1/3. For example: 1/3, 2/3, 3/3.

Hope you understand that! :)

Answer:

Explanation Below :)

Step-by-step explanation:

3/2 & 3/4 are mistakes

When finding three multiples of a number that is a fraction, the denominator (bottom number) always stays the same. So, 3/2 & 3/4 are not multiples of 1/3.

How many pints are in 6.5 gallons?

Answers

Answer:

52 pints in 6.5 gallons.

Step-by-step explanation:

6.5 *8= 52

Answer:

52 pints

Step-by-step explanation:

6.5 * 8 = 52

(*8 because there are 8 pints in a gallon)

Tutoring ABC charges $50 sign up fee plus $12 an hour . HW helps charge a $38 sign up fee plus $15 an hour . After how many hours will the total for each company be the same​

Answers

Answer:

Step-by-step explanation:

Tutoring ABC - $50 sign up and $12 an hour

HW helps- $38 sign up and $15 an hour

 50                                    38

+12                                    +15

62                                     53

+12                                   +15

74                                     68                        Four months

+12                                  + 15

86                                     83

+12                                   +15

98                                    98

Can someone pleaseee help me

Answers

Answer:b

Step-by-step explanation:

Solve for x.
4x - 6 = 30

Answers

Answer:

x = 9

Step-by-step explanation:

Move all terms that don't contain x to the right side and solve.

The solution to the equation 4x - 6 = 30 is x = 9.

What is the solution to the equation?

Given the equation in the question:

4x - 6 = 30

To solve the equation 4x - 6 = 30, first, isolate the term with the variable:

4x - 6 = 30

Add 6 to both sides of the equation to isolate the term with the variable:

4x - 6 + 6 = 30 + 6

Add -6 and 6

4x + 0 = 30 + 6

4x = 30 + 6

Add 30 and 6

4x = 36

Divide both sides of the equation by 4 to solve for x:

(4x)/4 = 36/4

x = 36/4

x = 9

Therefore, the value of x is 9.

Learn more about equations here: brainly.com/question/14686792

#SPJ6

Scott's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make copper balls that
have a radius of 6 in. If copper costs $0.75 per in, how much will the copper cost to make one ball?
Use 3.14 for I, and do not round your answer.

Answers

Explanation is in a file



The length of a rectangle is 2 units more than the width. The area of the rectangle is
35 units. What is the width, in units, of the rectangle?

Answers

The width of the rectangle is 5 units

what is 2/3(9+x)=-5(4-x)

Answers

Answer:

x=78

Step-by-step explanation:

2/3(9+x)=-5(4-x)

6+2/3=-20+x

6=-20+1/3x

x=78

Answer:

x=6

Step-by-step explanation:

Distribute.

2/3 * 9 = 6

2/3 * x = 2/3x

Distribute other side.

-5*4 = -20

-5 * -x = 5x

Rewrite.

6 + 2/3x = -20 + 5x

Subtract 5x from both sides.

-13/3x + 6 = -20

Subtract 6 from both sides.

-13/3x = -26

Multiply -3/13 to both sides.

x=6

PLEASE HELP ME ASAP??!!!!!!!!

Answers

9514 1404 393

Answer:

  (d) ∅

Step-by-step explanation:

Subtracting y from both sides gives ...

  4 = -5

There is no value of y that will make this true. There is no solution to the equation.

The solution set is the null set: ∅.

Please help I need help ASAP????!!!!!!!!!

Answers

Answer:

3x

Step-by-step explanation:

if  __ + 3 = 15   and x=4  then you need to find what plus 3 = 15.

12+3 = 15, and to get from 4 to 12 you multiply by 3

3x + 3 = 15! hope that helps

Hello!

Please only answer if you know the answer, the comment section is right below. Please don't waste my points!

Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.

The image is down below. Show work! Thanks!

Answers

Answer:

7.71 km²

Step-by-step explanation:

Area of triangle:

A = 1/2bh

We have the value of b but not h.

Added auxiliary segments which help to find the value of h.

See attached for details

sin 40° = h/4h = 4 sin 40°h = 2.57 km

The area is:

A = 1/2*6*2.57 = 7.71 km²

What is the inverse operation needed to isolate the variable 4 = p - 8

Answers

It’s addition

If you want I can explain it to you in the comments

Answer:

To do this you need to add both sides by 8. yw

Step-by-step explanation:

Which of the points labeled shows the solution to the system of equations? (A, B, C, D, or E)

Answers

Answer:

E

Step-by-step explanation:

When is comes to a system of equations, the point where the lines intercept is the answer.

Can someone please give me the answers to all three I will be marking u brilliant

Answers

Answer:

1. 18

2. 49.5

3. 48

Step-by-step explanation:

1. Since it is 3 dogs to 1 person we need to multiply 6 with 3, so we get 18 dogs!

2. Since 2 books equal 8.25, we just need to multiply 8.25 by 6, which we get 49.5 from!

Hope this helps and don't forget to follow!

ANSWER THIS PLZZ I WILL GIVE TOP COMMENT :)!!!!!

Answers

Answer:

D, -42 multiply 6 on both sides

D. because when it is multiplied, the inequality is no longer true.


[tex]1 \div 7[/tex]

Answers

Answer:

1/7 or 0.14

Step-by-step explanation:

Answer:

0.14

Step-by-step explanation:

All I did was plug it into my calculator. If you don't have one, you can use your phone or computer. Both devices have calculators programmed in. This answer is not the exact answer; it is just the first two decimals.

Please let me know if you need more help. Hope this helps!

Is 1/2 is equal to 1/10+1/10+1/10+1/10+1/10?

Answers

Answer:

Yes

Step-by-step explanation:

ANSWER:
Yes

STEP BY STEP:
if you were to add up all of the 1/10, you would get 5/10. When you simplify 5/10, you get 1/2.

Hope this Helps

In a major city is 7% find the total cost including the tax change on a purchase of $400 the total cost including sales tax is how much money

Answers

Answer:

$428, with the sales tax being $28.

Step-by-step explanation:

400 x 7/100 = 28

400+28=428

I need help please ^^ with math:

Which temperature is warmest?

1. 0°F
2. -25°
3. -32°F
4. 14°F

witch number?

Answers

Answer:

14 degrees is th warmest

4 because 2 & 3 are negative which is cold and 14 is not negative but the warmest out of the others

Find all solutions to the equations:
y^2=14y-24

x^4-81=0

Answers

Answer:

y2=14y-24

y2-14y+24=0

y2-2y-12y+24=0

yx(y-2)-12(y-2)=0

(y-2)x(y-12)=0

y-2=0

y-12=0

y=2

y=12

y1=2,y2=12

x4-81=0

x4=81

x=+3

x=-3

x=3

x1=-3.x=3

if there are only 2 of a particular stamp remaining out of 5000 originally printed, what percent remains today?​

Answers

Answer:

0.04%

Step-by-step explanation:

To find a percentage, we want to create a ratio of a portion by the total.

Our portion is 2.

Our total is 5000.

Let's create the ratio by dividing the numbers.

2/5000

Divide.

= 0.0004

Multiply this by 100 to find the percentage.

0.04%

This is your answer.

Check your answer by plugging it into a percentage equation.

0.04/100 of 5000 = 2

0.0004 • 50000 = 2

2 = 2

Your answer is correct.

Hope this helps!

How do you find y = x + 8. x + y = 2 in substitoun form

Answers

You plug in x + 8 for y in the second equation.
answer: x + x + 8 = 2

what does it mean when someone looks through your peephole in ur house and says "im comin' for u. u better run while u have the chance"?

Answers

Answer:

it means you are my neighbor

Step-by-step explanation:

Answer:

It means your gonna get killed

Step-by-step explanation:

hey jayden

consider the infinite geometric series 2(p-5) + 2(p-5)² + 2(p-5)³​

Answers

10(p+3)-4(p+10)-6(p+15)

how many different ways can you find for 7 coins totaling 95 cents?​

Answers

Answer:

one way

Step-by-step explanation:

2 quarters

4 dimes

1 nickel

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