A cattle rancher wants to enclose a rectangular area and then divide it into three pens with fencing parallel to one side of the rectangle (see the figure below). There are 510 feet of fencing available to complete the job. What is the largest possible total area of the three pens?

Answers

Answer 1

Answer:

Step-by-step explanation:

4w + 2L = 670

2w + L = 335

L = 335 - 2w

Area A(w) = w(335 - 2w)

max occurs at the average of the solutions.

solutions are w=0 and w = 167.5

the average is 83.75

83.75 * (335 - 2 * 83.75) = 14028.125


Related Questions

Point A(9,-6) is translated using the rule (x+3, y-7) then it is reflected across the x-axis. What are the coordinates of its final image?

Answers

Answer:

The coordinates of its final image are [tex](x'', y'') = (12, 13)[/tex].

Step-by-step explanation:

From Linear Algebra, we define reflection across the x-axis as:

[tex](x',y') = (x, -y)[/tex], [tex]\forall \,x,y\in\mathbb{R}[/tex]

According to the statement of problem, the following operation of translation:

[tex](x',y') = (x+3, y-7)[/tex], [tex]\forall \,x,y\in \mathbb{R}[/tex]

Where:

[tex](x,y)[/tex] - Original point, dimensionless.

[tex](x',y')[/tex] - Translated point, dimensionless.

If we know that [tex]A(x, y) = (9, -6)[/tex], we proceed to make the abovementioned operations:

Translation

[tex](x', y') = (9+3,-6-7)[/tex]

[tex](x',y') = (12, -13)[/tex]

Reflection

[tex](x'', y'') = (x',-y')[/tex]

[tex](x'', y'') = (12, 13)[/tex]

The coordinates of its final image are [tex](x'', y'') = (12, 13)[/tex].

find the slope represented in the table below show all work

Answers

where’s is the table to help you?

Answer:

no table

Step-by-step explanation:

a family buys a house worth $326000. they pay $75000 deposit and take a mortgage for the balance at J12= 9% per annum to be ammortized over 30 years with monthly payments. find the value of mortgage of their house​

Answers

Answer:

251,000$

Step-by-step explanation:

0.04 is 10 times as much as?

Answers

Answer:

0.004

Step-by-step explanation:

10*0.004=0.04

hope this helps

Answer:

0,004 i think

Step-by-step explanation:

The scores on a psychology exam were normally distributed with a mean of and a standard deviation of . About what percentage of scores were less than . The percentage of scores that were less than was

Answers

Complete Question

The scores on a psychology exam were normally distributed with a mean of 59 and a standard deviation of 6. About what percentage of sores were less than 53. The percentage of scores that were less than 53 was %. (Type an integer or a decimal.

Answer:

The value is [tex]P(X < 53) = 0.15866[/tex]

Step-by-step explanation:

From the question we are told that

   The mean is  [tex]\mu = 59[/tex]

    The standard deviation is [tex]\sigma = 6[/tex]

Generally the percentage that were less than 53 is mathematically represented as

       [tex]P(X < 53) = P(\frac{X - \mu }{\sigma } < \frac{ 53 - 59 }{ 6 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>    [tex]P(X < 53) = P(Z < -1 )[/tex]

Generally the probability of (Z <  -1  ) is  

         [tex]P(Z < -1 ) = 0.15866[/tex]

=>        [tex]P(X < 53) = 0.15866[/tex]

At a carnival, Boris bought 14 packs of 9 tickets each. He also found 7 more tickets on the ground. How many tickets did Boris have in all?

Answers

multiply # of packs by # of tickets in each pack).
Then if he finds 7 more...ADD those to the previous count.
14 x 9 = 126
126 + 7 = 133
The answer is 133 .

The table shows the cost of long distance calls

Answers

Answer:

nnnvvg

Step-by-step explanation: mm

a dealership sets car prices so there is 40% profit. If a dealership paid 5,300 for a car how much should they sell the car?

Answers

The Answer is-

7,420.00

A man and a woman agree to meet at a certain location about 12:30 PM. Suppose the man arrives at a time uniformly distributed between 12:15 and 12:45. Suppose the woman independently arrives at a time uniformly distributed between 12:00 and 1 PM. Find the probability that the man arrives first.

Answers

Answer:

The probability that the man arrives first is 0.50.

Step-by-step explanation:

Let X denote the arrival time of the man and Y denote the arrival time of the woman.

It is provided that:

[tex]X\sim U[15,45]\\\\Y\sim U[0,60][/tex]

The pdf of X an Y are:

[tex]f_{X}(x)=\frac{1}{45-15}=\frac{1}{30};\ 15<X<45\\\\f_{Y}(y)=\frac{1}{60-0}=\frac{1}{60};\ 0<Y<60[/tex]

It is provided that X and Y are independent of each other.

Then the joint pdf of X and Y is:

[tex]f_{XY}(x,y)=f_{X}(x)\times f_{Y}(y)\\\\\Rightarrow f_{XY}(x,y)=\frac{1}{30}\times \frac{1}{60}\\\\\Rightarrow f_{XY}(x,y)=\frac{1}{1800};\ 15<X<45,\ 0<Y<60[/tex]

Compute the probability that the man arrives first as follows:

[tex]P(X<Y)=\int\limits^{45}_{15} {\int\limits^{60}_{x} {\frac{1}{1800}} \, dy } \,dx[/tex]

                 [tex]=\frac{1}{1800}\times \int\limits^{45}_{15} y|^{60}_{x} \,dx\\\\=\frac{1}{1800}\times \int\limits^{45}_{15} {60-x} \,dx\\\\=\frac{1}{1800}\times |60x-\frac{x^{2}}{2}|^{45}_{15}\\\\=\frac{(1687.5-787.5)}{1800}\\\\=\frac{900}{1800}\\\\=\frac{1}{2}\\\\=0.50[/tex]

Thus, the probability that the man arrives first is 0.50.

2) The perimeter of a rectangle is 52 feet.
The length and width are represented by
two consecutive even integers. Find the
dimensions of the rectangle .

Answers

Answer:

12 feet and 14 feet

Step-by-step explanation:

Let a and b be the length and width of a rectangle

a and b are consecutive even integers

a=x, b=x+2

perimeter=52

2*(a+b)=52

2*(x+x+2)=52

2x+2=26

2x=24

x=12

a=12

b=x+2=14

Answer:

dimensions of the rectangle are 12 ft by 14 ft

Step-by-step explanation:

Let's name our unknowns :

width = x and therefore, the length according to the information given will be of size x + 2 (consecutive even integer).

Then the perimeter (addition of all four sides of the rectangle) will be the sum:

x + (x + 2) + x + (x + 2) = 52

combining like terms:

4 x + 4 = 52

subtracting 4 on both sides

4 x  = 52 - 4

4 x = 48

x = 48 / 4

x = 12

so the width is 12 feet and the length must be 2 feet larger, that is: 14 feet

Then the dimensions of the rectangle are 12 ft by 14 ft.

A doctor may prescribe Keflex for an ear infection. One capsule = 0.250 g of Keflex. The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs). How many Keflex capsules would a 69-pound child take for one daily dose? (Round to the nearest whole number of capsules) Given: 1 pound = 0.453592 kg

Answers

Answer:

5 capsules

Step-by-step explanation:

A doctor may prescribe Keflex for an ear infection. One capsule = 0.250 g of Keflex. The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs).

Step 1

We convert the capsules form grams to milligrams

1 gram = 1000 milligrams

0.250grams = x

Cross Multiply

x = 0.250 × 1000 milligrams

x = 250 mg

Hence, 1 capsule = 250 mg

How many Keflex capsules would a 69-pound child take for one daily dose? (Round to the nearest whole number of capsules) Given: 1 pound = 0.453592 kg

The recommended daily dose for a child is (40.0mg of Keflex)/(kg that the child weighs).

The child weighs 69 pounds

1 pound = 0.453592 kg

69 pounds = x kg

Cross Multiply

x kg = 69 × 0.453592kg

x kg = 31.297848kg

Hence,

1 kg= 40.0 mg

31.297848 kg = x

x = 31.297848 × 40.0mg

x = 1251.91392mg

Therefore, the child would take 1251.91392 mg

From the first calculation we know that:

1 capsule = 250 mg

250mg = 1 capsule

1251.91392 mg = x capsules

250mg × x = 1251.91392 mg × 1 capsule

x = 1251.91392 mg/250mg

x = 5.00765568 capsules

Approximately = 5 capsules

Hence, a child that weighs 69 pounds takes 5 capsules of keflex

What is elevation of tammys house
L

Answers

You need to show the question o-o

45 books in 5 shelves =per books

Answers

Answer:

in total there are 225 books if that's what you're asking?

The perimeter of a rectangle shown below 23 feet what is the missing side length

Answers

Answer:

[tex]n = 7\frac{1}{4}[/tex]

Step-by-step explanation:

See attachment for complete question.

From the attachment, we have:

[tex]Length = 4\frac{1}{4}ft[/tex]

[tex]Width = n[/tex]

[tex]Perimeter = 23fr[/tex]

Required

Determine n

Perimeter is calculated as:

[tex]Perimeter = 2(Length + Width)[/tex]

Substitute in values

[tex]23 = 2(4\frac{1}{4} + n)[/tex]

Convert to decimal

[tex]23 = 2(4.25 + n)[/tex]

Open Bracket

[tex]23 = 8.5 + 2n[/tex]

Collect Like Terms

[tex]2n = 23 - 8.5[/tex]

[tex]2n = 14.5[/tex]

[tex]n = 14.5/2[/tex]

[tex]n = 7.25[/tex]

[tex]n = 7\frac{1}{4}[/tex]

Find the value of x.

(2.5x + 6)

Answers

Answer:

See below

Step-by-step explanation:

All of the sides are the same length so all of the angles are the same in this equilateral triangle....each is 60°

60 = 2.5 x + 6

54 = 2.5 x

x = 21.6 °

A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog.

, 52, 24, 5, 72, 49, 529
Find the range of the data set.

Answers

[tex]range=524.[/tex]

Step-by-step explanation:

[tex]range \: is : max - min \\ the \: range \: is \: : 529 - 5 = 524. \\ regards \\ ♨Rage♨[/tex]

The range of the given data set comes to be 524.

The given data set is: 52, 24, 5, 72, 49, 529

What is the range of a data set?

The range of a data set is the difference between the maximum and minimum value of that data set.

The maximum value of the given data set = 529

The minimum value of the given data set = 5

The difference between the maximum and minimum value of that data set=529-5 =524

So, the range of the data set =524

Therefore, the range of the given data set comes to be 524.

To get more about range visit:

https://brainly.com/question/8486248

Find the volume of the described solid of revolution or state that it does not exist. The region bounded by ​f(x) and the​ x-axis on the interval ​[​,​) is revolved about the​ x-axis.

Answers

This question is incomplete, the complete question is;

Find the volume of the described solid of revolution or state that it does not exist.

The region bounded by ​f(x) = x⁻⁷ and the​ x-axis on the interval ​[ 1​,​ ) is revolved about the​ x-axis.  

Answer: volume of the cubic units is π/13

Step-by-step explanation:

Given that;

​f(x) = x⁻⁷  

in the image, Area of ring = πR²

we substitute

Area = π (x⁻⁷)²

= π(x⁻¹⁴)

Now

Volume = ₁∫^∞ π(x⁻¹⁴) dx

= [ -π/13  x⁻¹³ ]₁^∞

= 0 + π/13

= π/13

therefore volume of the cubic units is π/13

19:28:14
Graph 8x - 2y = -16.
a
Ty
Ty
b
d
Mark this and return
Save and Exit
Next
Sub

Answers

the slope is 4 and the y-intercept is -8

options are A, B, C, E, H

WHICH ONES ARE CORRECT?

Answers

Answer:

A or C

Step-by-step explanation:

A whole foods company sends an email survey to all customers who purchase a certain brand of vitamins each month. The previous month, 523 people purchased this brand of vitamins.

Surveys were sent to 112 of these people, chosen at random, and 96 people responded to the survey. Identify the population and the sample. (1 point)

The population is 112 and the sample is 96.

The population is 523 and the sample is 96.

The population is 523 and the sample is 112.

The population is 112 and the sample is 523.

O

Answers

Answer: The population is 523 and the sample is 112.

Step-by-step explanation:

In statistical parlance, a population is referred to as all the entire individuals or subject which makes up a certain group of interest. In the scenario above, the group of interest refers to the consumers who buys the vitamin brand each month. Hence, the population encompasses all the buyers for for a particular month which sums up to 523 customers.

The sample is a subset culled from the population. It refers to a smaller group of individuals or subject which are chosen by a sampling method from the entire population. In the scenario above, the number of randomly selected consumers who were sent surveys are the sample. The fact that not all those who were sent surveys responded does not change the fact that they were randomly selected from the larger population pool and will hence be considered to be a part of the sample.Hence the sample is 112.

pls I rly need help LOOL

Answers

Answer:

90mph

Step-by-step explanation:

15 times 6, will u answer my question on my page

is -57.25 a rational number

Answers

no it is not a rational number

The time it takes a printer to print a job is an Exponential random variable with the expectation of 15 seconds. You send a job to the printer at 4:00 pm, and it appears to be forth in line. What is the probability that your job will be ready before 4:01 pm

Answers

Answer:

0.56652

Step-by-step explanation:

Given that :

1 job takes 15 seconds

x jobs will take 60 seconds

15x = 60

x = 4

4 jobs take 60 seconds

μ = 4

Job is 4th in line :

Find the probability of ;

P(x ≥ 4) = 1 - [P(x ≥ 4) = 1 - [P(x < 3 ) + P(x < 2) + P(x < 1) + p(x < 0)]

P(μ, x) = [(e^-μ) * (μ^x)] ÷ x!

Using the poisson distribution calculator :

P(x< 3) = 0.19537

P(x< 2) = 0.14653

P(x< 1) = 0.07326

P(x< 0) = 0.01832

Hence,

P(x ≥ 4) = 1 - [P(x < 3 ) + P(x < 2) + P(x < 1) + p(x < 0)

= 1 - (0.19537 + 0.14653 + 0.07326 + 0.01832)

= 1 - 0.43348

= 0.56652

find the value of the expression below. log6 3 + log6 8- log6 4

Answers

Given:

Consider the expression is

[tex]\log_63+\log_68-\log_64[/tex]

To find:

The value of given expression.

Solution:

We have,

[tex]\log_63+\log_68-\log_64[/tex]

Using properties of logarithm, we get

[tex]=\log_6(3\times 8)-\log_64[/tex]       [tex][\because \log_am+\log_an=\log_amn][/tex]

[tex]=\log_6(24)-\log_64[/tex]

[tex]=\log_6\left( \dfrac{24}{4}\right)[/tex]       [tex][\because \log_am-\log_an=\log_a\dfrac{m}{n}][/tex]

[tex]=\log_66[/tex]

[tex]=1[/tex]                    [tex][\because \log_aa=1][/tex]

Therefore, the value of given expression is 1.

(C) 1 is the correct answer.

I'm giving away a free brainliest to the hardest question ever (or just a question I don't know the answer to). I do Kumon so I'm pretty good at math (forgot to mention it has to be a math question) so good luck! Instead of typing questions in the chat, please type the question by answering this. :) Have fun! and good luck!

Answers

Answer:

Step-by-step explanation:[tex]8000000^{9090}[/tex] +98989898989

(If you don't think this is legit, just search up Chinese math question)

If a ship had 26 sheep and 10 goats onboard, how old is the ship's captain?

To answer this question correctly would truly be an accomplishment.

Hope this helps, if not, comment down below please!!!

(cast your answer down below pls)

:L

1) Find the ratios for sin A, cos A, and tan A for the triangle below.
C
6
A
sin A=
8
10
COS A =
B
tan A =

Answers

Answer:

Sin A = 8/10 or 4/5

Cos A = 6/10 or 3/5

Tan A = 8/6 or 4/3

Flying against the jetstream, a plane travels 3,132 miles in 9 hours. The same plane flying with the jetstream travels 1.5 times the distance it traveled going against the jetstream. If the plane travels 435 miles per hour, what is the speed of the jetstream?

Answers

Answer: 87

Step-by-step explanation:

3,132/9 = 348

348x1.5 = 522

522-435 = 87

i think?

Race the Turtles. Then complete the following statements. The speed of a turtle can be found by _____distance by time. The speed of the winning turtle was _____the speed of the other two turtles.

Options for first blank
Adding
Subtracting
Multiplying
Dividing

Options for blank two
Slower than
The same speed as
Faster than

Answers

Answer:

1.  dividing

2.  faster than

Step-by-step explanation:

Edge 2020

Answer:

The speed of a turtle can be found by distance by time.

   adding

   subtracting

   multiplying

✔ dividing

The speed of the winning turtle was the speed of the other two turtles.

   slower than

   the same speed as

✔ faster than

The measure of an angle’s supplement is 84° more than the angle. Find the measure of
the angle and its supplement

Answers

Answer:

angle = 48 supplement = 132

Step-by-step explanation:

Answer:

angle 48 and supplement 132

Traveling between two campuses of a university in a city via shuttle bus​ takes, on​ average, 28 minutes with a standard deviation of 5 minutes. In a given​ week, a bus transported passengers 100 times. The probability that the average transport time was bigger than 27 minutes is

Answers

Answer: 0.9772

Step-by-step explanation:

Let X be a random variable that represents the transport time .

We assume X is normally distributed with a mean [tex]\mu=28\text{ minutes}[/tex] and a standard deviation [tex]\sigma=5\text{ minutes}[/tex].

Sample size : n= 100

The probability that the average transport time was bigger than 27 minutes:

[tex]P(\overline{X}>27)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}>\dfrac{27-28}{\dfrac{5}{\sqrt{100}}})\\\\=P(Z>\dfrac{-1}{\dfrac{5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z>-2)=P(Z<2)\ \ \ [P(Z>-z)=P(Z<z)]\\\\=0.9772\ \ \ [\text{By p-value table}][/tex]

Hence, the required probability =0.9772

Other Questions
how do the long A sounds in this example reinforce how the narrator feels about Lenore? what did the founding fathers debate on? What is the decimal form of 1/3 $35.50 per share is the current price for Foster Farms' stock. The dividend is projected to increase at a constant rate of 5.50% per year. The required rate of return on the stock, rs, is 9.00%. What is the stock's expected price 3 years from today Why do you think the first session of the U.S. Congress was convened in New York and not Washington, D.C.?It was convened in New York because the nations capital had yet to be constructed.It was convened in New York because the city was served by the greatest number of rail lines and roadways.It was convened in New York because that state had the largest number of senators and representatives.It was convened in New York because it was the first state in the union. Use summation formulas to rewrite the expression without the summation notation . sum i=1 ^ n 2i^ 3 -3i n^ 4 a judge may not alter a ____ sentence Website managers useevery day. Please help me answer this () ( ) I need help solving this problem: 1/3(3x - 12) = 1/6x + 1/4 - 9my teacher said the answer is -5.7 but idk how she got that help me please thank you what was the purpose of the federal securities act? What effect did the ban on the international slave trade have on slavery in the United States? It created a labor shortage across the northern United States. It caused a rise in the slave trade from other states within the country. It caused a decrease in the overall population of enslaved people in the country. It created an economic crisis for planters and slaveholders. Fifty people are in a line. The first person in the line to have a birthday matching someone in front of them will win a prize. Of course, this means the first person in the line has no chance of winning. Which person has the highest likelihood of winning? Defend your answer with a statistically sound argument. How did the reunification of China affect the common people 27 less than the product of a number and 5a. 5n - 27b. n/5 - 27c. 27 - n/5d. 27 - n/5 A book you had your eye on last year had a price of $12. This year, it ispriced at $15. By what percent did the price increase? Will give brainliest..Based on what you have learned about self-esteem, reflect on your own sense of self-esteem. In the space below, explore and discuss the things that impact your self-esteem and ways you use to maintain high or positive self-esteem. Help me this is due at 12:00 :(:(:(