Maximizing yield. Hood Apple Farm harvests an average of 30 bushels of apples per tree when 20 trees are planted on an acre of ground. If 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per tree as a result of crowding. How many trees should be planted on an acre in order to get the highest yield

Answers

Answer 1

Answer:

In order to get the highest yield, 25 tress should be planted

Step-by-step explanation:

Given the data in the question;

Let n be number bushel, b is bushels per tree, t is number of trees

from the question, if t = 20, b = 30

and if t = 21 then b = 29

so t + b is constant

t + b = 50 ----- let this be equation

now, n = t × b

so b = n / t

hence from equation, we input b = n/t

t + n/t = 50

n/t = 50 - t

n = t(50 - t)

n = 50t - t²

now we get the derivatives

Note, The maximum amount of trees is simply where the derivative is equal zero, so;

0 = 50 - 2t

2t = 50

t = 50/2

t = 25

Therefore, In order to get the highest yield, 25 tress should be planted


Related Questions

i need help i will crown brainiest

Answers

Answer:25 if your looking for the number of ways to order 5 objects

Step-by-step explanation:

If your looking for the probability of 1 number the ways for it to be arranged l believe It is 5x5 hope this helps

5. A book of length 20 cm and breadth 5 cm is kept on a table, its area is
(a) 50 cm
(b) 100 cm
(c) 150 cm
(d) 200 cm​

Answers

The correct answer is 100cm

Area= length multiplied by width

Area= 20cm multiplied by 5cm and your area will be 100cm

For each of the following studies, say whether you would use a t test for dependent means or a t test for independent means.

a. A researcher randomly assigns a group of 25 unemployed workers to receive a new job skills program and 24 other workers to receive the stan- dard job skills program, and then measures how well they all do on a job skills test.
b. A researcher measures self-esteem in 21 students before and after taking a difficult exam.
c. A researcher tests reaction time of each member of a group of 14 individuals twice, once while in a very hot room and once while in a normal- temperature room.

Answers

Answer:

1. T test for independent means

2. T test for dependent means

3. T test for dependent means

Step-by-step explanation:

In number 1, the two groups are unrelated. The first group has 25 subjects and they're all unemployed. The second group has 24 subjects and their employment status is not stated and might not be the same all through. Also, the first group is receiving a new type of job skills program while the second group is taking the standard job skills program.

- The groups in the experiment are unrelated

- The tests in the research are unrelated

- The purpose of the research is unreasonable - the researcher seeks to measure how well all 49 subjects perform on 'a' job skills test! No comparison between the scores or mean scores of the two groups.

In number 2, the researcher uses the same subjects and also measures the same variable but twice. This is a good example of a study where the t test for dependent means can be taken. Same applies in case 3.

Will give brainliest

Find the area of the following
triangle:
5 cm
10 cm
A= [?] cm2
Enter the exact answer as a decimal.

Answers

Answer:

25

Step-by-step explanation:

a=1/2bh

a=1/2(5)(10)

a=1/2(50)

a=25

Which sign makes this number sentence true?

|-6| __ |6|
A. >
B. <
C. =
D.

Answers

Answer:

C. =

Step-by-step explanation:

whenever you have |  | It will always be positive so -6 turns to 6 and that makes it equal.

Cora uses the following ingredients to make once more.

Answers

Answer:

10 if the other the numbers go up as well

Step-by-step explanation:

20/2= 10

Which would mean Kora could make 10 s'mores

Sam borrows R7000 from a Bank at 14% p.a ,simple interest for 5 years.
How much does he have to pay back to the Bank at the end of 5 years period.​

Answers

Answer:

$ 4,900.00

Step-by-step explanation:

I = 7000 × 0.14 × 5 = 4900

I = $ 4,900.00

Each month, 8 magazines arrive at Sydney's home. Write an equation that would show the number of motnths (n) it took for Sydney to receive 56 magazines.
btw this is multiple choice so this is the choices
A. 56n=8
B.n+8=56
C.8n=56
D.56-n=8
help me asap​

Answers

C.
Since 8 magazines are areiving each month (n) and the total is 56, all you have to do is multiply 8 by n and you get 56, the actual answer would be 7 though.

Answer:

C.8n=56

Step-by-step explanation:

Using the following data, calculate the mean absolute deviation: 7 2 8 5 9 9 5 6 8 1 What is the mean absolute deviation for these data? (4 points)​

Answers

Answer:

The mean absolute deviation is 2. Hope this helps

Step-by-step explanation:

7+2+8+9+9+5+6+8+1=5.5

7-5.5=1.5

5.5-2=3.5

8-5.5=2.5

9-5.5=3.5

9-5.5=3.5

5.5-5=0.5

6-5.5=1.5

8-5.5 2.5

5.5-1=4.5

1.5+3.5+2.5+3.5+3.5+0.5+1.5+2.5+4.5=2

Answer is 2.

I hope this can help!

Have a nice day :)

~Amy

Pls help quick i beg please,Complete the explanation blank and blank 1 whole stirp could represent 1 blank and the 1/3 strip could represent blank. please help like please cause if you do it i make you The Brainliest

Answers

Answer:

Feet and yards; the 1 whole strip could represent 1 yd. and the [tex]\frac{1}{3}[/tex] strip could represent feet.

Darren has traveled
2/3
of his total trip. He has traveled 21 miles so far. How many more miles does he have to travel?

Answers

Answer:

The answer is 7 miles

Step-by-step explanation:

2/3 × 21 = 14

21-14 = 7

The answer is 10.5 miles because if 2/3 is 21 then 1/3 would be half of that which is 10.5 miles, and since there is only 1/3 left of the trip then he has to travel 10.5 more miles

What are the solutions of the quadratic equation 4x2 - 8x – 12 = 0?

Answers

Answer:

see bottom

Step-by-step explanation:

divide through by 4

x2 - 2x - 3 = 0

x2 - 3x + x - 3 = 0

(x2 - 3x) + (x - 3) = 0

x(x - 3) + 1(x - 3) = 0

(x + 1) (x - 3) = 0

x + 1 = 0 and x - 3 = 0

x = -1 and x = 3

Please help me with the question

Answers

Answer:

area = 84 m²

Step-by-step explanation:

area = (1/2)(4)(3)(2) + (5)(6) + (6)(3) + (4)(6) = 84 m²

What is the factored form of this polynomial? x2 + 5x − 36
A. (x + 4)(x + 9)
B. (x − 4)(x − 9)
C. (x − 5)(x + 8)
D. (x − 4)(x + 9)

Answers

Answer:

D. (x - 4)(x + 9)

Step-by-step explanation:

x2+5x−36

[think of numbers that add together to get 5 and multiply together to get -36!]

-4 + 9 = 5

-4 * 9 = -36

hope this helped! :]

Answer:

D: ( x - 4 ) ( x + 9 )

Step-by-step explanation:

By multipling the two friction :

x2 + 9x - 4x - 36

= x2 + 5x - 36

A fish aquarium is 3 ft long, 2 ft wide, and 2 ft high. What is the volume of the aquarium?

ANSWER ASAP I DONT HAVE MUCH TIME

Answers

I Believe It Is 12ft

10×2+5÷2
its so easy​

Answers

Answer:

10×2+ 5÷2

=20+2.5

=22.5

NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ

Answers

Answer:

D

Step-by-step explanation:

They are trying to see how long it takes people to complete the writing portion of the test.

Evaluate -2x^3-3x^2+4 for x=-2

Answers

Answer: 8

Step-by-step explanation:

1. Rewrite the equation:

-2x^3 - 3x^2 + 4     x = -2

2. Plug in the value of x, -2

-2(-2)^3 - 3(-2)^2 + 4

3. Use order of operations (PEMDAS):

-2(-8) - 3(4) + 4

= 16 - 12 + 4

= 8

how do you find how many pounds he used, and how many pounds did he use?

Answers

Answer:

I'm not too sure what you are referring too and I can't clearly see the image but I'll give you some tips!

One way to find out how many pounds he used is to add all the pounds you know he used (what is written down) or to multiply, divide, whatever is best for the situation

so yeah hope this helped!

A rectangle has length 5.5 meters and width 7.5 meters. Select the area of the rectangle.

Answers

Answer:

41.25

Step-by-step explanation:

(1) area = 5.5 × 7.5

(2) area = 41.25

:)

Answer:More than nine-in-ten Hispanics identify with a specific religion. That, along with several other measures of belief and behavior, means that Hispanics as a group are highly religious. How does this affinity for spirituality vary among Latinos with different demographic characteristics or religious affiliations? And how precisely do the religious beliefs of Latinos set them apart from the rest of the population?

Step-by-step explanation:

The ratio of girls to boys in a boarding school is 2:7,if there are 1251 student in the school, how many of the student are girls​

Answers

278 students are girls in this case.

Answer with explanation is given ......

Suppose that 8% of college students are vegetarians. Determine if the following statements are true or false, and explain your reasoning.

a. The distribution of the sample proportions of vegetarians in random samples of size 60 is approximately normal since n >= 30.
b. The distribution of the sample proportions of vegetarian college students in random samples of size 50 is right skewed.
c. A random sample of 125 college students where 12% are vegetarians would be considered unusual.
d. A random sample of 250 college students where 12% are vegetarians would be considered unusual.
e. The standard error would be reduced by one-half if we increased the sample size from 125 to 250.

Answers

Step-by-step explanation:

we have p=proportion of vegetarian students=0.08

a. FALSE.

for normal approximations we must have np>=5 and n(1-p)>=5

here n=60 so np=60*0.08=4.8 which is less than 5.

hence normal approximation is not applicable.

b. TRUE.

for binomial proportion , the distribution is right skewed if 1-2p>0 or, 0.5>p

here, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c. FALSE.

here, n=125 which is quite large. hence normal approximation is applicable.

let phat be the sample proportion

then phat approximately follows a normal distribution with E[phat]=p=0.08

and variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888

hence standard deviation=sqrt(0.0005888)=0.0242652

hence effective range of phat is [0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956]

12%=0.12 lies in this effective range.

hence it is not unusual.

In this exercise we have to classify whether the statements are true or false:

a) False

b) True

c) False

d) False

e) False

We have: [tex]p=proportion of vegetarian students=0.08[/tex]

a) FALSE.  

For normal approximations we must have:

[tex]np\geq 5 \\n(1-p)\geq 5[/tex]

Where [tex]n=60[/tex] so [tex]np=60*0.08=4.8[/tex]  which is less than 5. Hence normal approximation is not applicable.

b)TRUE.

For binomial proportion , the distribution is right skewed if :

[tex]1-2p>0 \\ 0.5>p[/tex]

Where, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c) FALSE.

Where, n=125 which is quite large. hence normal approximation is applicable. Let phat be the sample proportion then phat approximately follows a normal distribution with:

[tex]E[phat]=p=0.08[/tex]

and [tex]variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888[/tex]

Hence standard deviation [tex]=sqrt(0.0005888)=0.0242652[/tex]

hence effective range of phat is:

[tex][0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956][/tex]

12%=0.12 lies in this effective range. Hence it is not unusual.

d) FALSE.

e) FALSE.

See more about proportion at : brainly.com/question/8704765

A spinner has six equal-sized sections numbered 1, 1, 2, 2, 3, and 4. What is the probability of spinning a 3?

Answers

Answer:

1/6 or 0.166666...

Step-by-step explanation:

1 out of 6, so 1/6

If Ashton drives 228 miles in 6 hours, what is his unit rate?

Answers

228 divide by 6 = 38
38 miles per hour

Answer:

The unit rate would be 38 miles per hour

Step-by-step explanation:

If you divide 228 by 6 you would get 38 and to further prove this do 38 x 6 and your answer would be 228

The graph represents the gallons of water (y) per minute (x) dispensed by a shower head. Which statements are correct?

Answers

The relationship has been analysed using the property of straight line.The correct options are (C), (D) and (E) respectively.

How to represent a straight line on a graph?

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

The given options are examined one by one as follows,

(a) The point (0, 0) on the graph represents the zero number of gallons dispensed at the beginning.

(b) The point (5, 1) does not lie on the graph.

(c)  The point (1, 5) represents 5 gallons dispensed during 1 minute which is equivalent to the unit rate.

(d) The point (1.5, 7.5) lies on the graph which represents 7.5 gallons dispensed in 1.5 minutes.

(e) The point (0, 0) shows no gallons dispensed at t = 0.

Hence, the correct information inferred from the graph are the point (1, 5) represents the unit rate, 7.5 gallons for 1.5 minutes and the point (0, 0) represents zero minutes for zero gallons.

To know more about graph of straight line click on,

https://brainly.com/question/16934180

#SPJ1

: Find the equation of the tangent line to the curve f(x)= e^xat x_0= 2, and show this line on the graph.

Answers

The tangent line to f(x) = e ˣ at the point x = 2 has slope equal to f ' (2):

f(x) = e ˣ   →   f '(x) = e ˣ   →   f ' (2) = e ²

At x = 2, the function takes on a value of f (2) = e ². Use the point-slope formula to get the equation of the tangent line:

y - e ² = e ² (x - 2)

Solve for y :

y = e ² x - e ²

HELP LOOK AT THE PHOTO PLEASEEE

Answers

Answer:

The answer to the question provided is 60.

Select all numbers that have an absolute value of 6.3.

Answers

Answer:

-6.3

Step-by-step explanation:

Its the only thing I can think of. |-6.3| |6.3|

need help ASAP plssssssssssssssssss

3,945 ÷ 45 = (?)
R (?)

Answers

87.66666.... or 87.666667 unless your rounding then it’s just 88.

Help please will mark brainliest

Answers

Answer:

9.9

Step-by-step explanation:

4.8 x 2 = 9.6

29.5 - 9.6 = 19.9

19.9/2 = 9.95

round up

9.9

Answer:

10 I think

Step-by-step explanation:

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LOOK RIGHT HERE! HELP FASSST EMERGENCY! Don't go past go to this question right here and no Decimal answers plz. Thanks the answer is not 144 BTW. Thank you. Please, help me!!Question is down below.. A football thrown by a professional quarterback goes farther than one thrown by a 10-year old. What Newton Law is this? When you push or pull on an object, you are exerting a ________________________ on that object. Based on your understanding of P/E ratios, in which of the following situations would the average trailing P/E ratio (current price divided by earnings per share over the previous 12 months) of the S&P 500 Index be higher? The outlook for the economy and the markets is for a downturn. The outlook for the economy and the markets is for an improvement. 3. ELLIPSECENTER = (-1,2)MAJOR AUIS IS HORIZONTALAND HAS LENGTH OF 10PASSS THROUGH (-1,5) 4. HYPERBOLAVERTICES : (-2,-4) (-2,6)FOU:(-2,-5)(-2,7) Denials give the suspect more confidence during an interrogation.a. Trueb. False which word goes best with the box please help Please help need done soon 1. What was the land South of Egypt referred to by the Ancient Greeks & Romans?A. EthiopiaB. PersiaC. ArabiaD. LibyaWhich is not an accomplishment of King Ezana?A. Issued coins that featured the crossB. Spread Judaism in AfricaC. Written accounts of his conquestsD. Convertion to ChristianityKing Caleb led a military campaign against:A. Kingdom of AdulisB. Kingdom of HimyarC. Kingdom of RaydanD. Kingdom of Marib How many grams is in one decigram Does anyone mind helping me im confused- Why were the Greensboro sit ins so successful Cuantas clases tienes?Cuando es la clase de matemticas?A qu hora es la clase de espanol?Can someone help me fix the punctuation in these questions and correct them Review this passage from the end of Kate Chopin's story "A Pair of Silk Stockings."A man with keen eyes, who sat opposite to her, seemed to like the study of her small, pale face. It puzzled him to decipher what he saw there. In truth, he saw nothing--unless he were wizard enough to detect a poignant wish, a powerful longing that the cable car would never stop anywhere, but go on and on with her forever.What does this quote say about Mrs. Sommers' future and what she would prefer it to be?a) She doesn't want to return the beautiful clothes she bought earlier.b) She doesn't want to have to explain to her children where the money went.c) She doesn't ever want to see her children again.d) She doesn't want to return to her life of responsibility and hardship. Write an equation of the line that passes through a pair of points:a. y = x + 3b. y = x - 3c. y = -x + 2d. y = -x-2 help needed for this question please Please answer I will give your brainliest I dont understand help me Please help!!! Ill mark you as brainliest!!!!!!0.138613961 as a percent rounded to the nearest tenth