A farmer has 200 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 150 feet. Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions. (Hint: Be mindful of the domain of the function you are maximizing.)

Answers

Answer 1

Answer:

200

Step-by-step explanation:

Answer 2

Answer:

200

Step-by-step explanation:


Related Questions

What is the y-intercept of a line that has a slope of -3 and passes through point (-5, 4)? a) -17 b) -11 c) 7 d) 19​

Answers

Answer:

(- 11)

Answer b is correct

Step-by-step explanation:

To find this you can use

y = mx + c

Here,

m = slope

c = y - intercept

( -5, 4) = ( x ,y)

Let us solve now .

[tex]y = mx + c[/tex]

[tex]4 = - 3 \times - 5 + c \\ 4 = 15 + c \\ 4 - 15 = c \\ - 11 = c[/tex]

Therefore,

c = (-11)

That means y - intercept is ( -11 )

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer: b (-11) , hope it will help

9 | 20 + d and 20 ≤ 20 + d ≤ 29
1. What does the line mean?
2. What is the meaning of "|" in this equation and also in algeria? Please explain.

Answers

the line means like equal to so it’s like 20 is greater than or equal to 20
The line means absolute value of one number.

Please answer the picture

Answers

Answer:

B. 3y + 3y - 12

Step-by-step explanation:

A. 6y - 12y - 12 = -6y - 12   No

B. 3y + 3y - 12 = 6y - 12   Yes

C. 6y + 6y - 12 = 12y - 12    No

D. 12y - 6 - 6 = 12 - 12    No

Answer: B. 3y + 3y - 12

Answer:

B. 3y + 3y - 12

Step-by-step explanation:

what is 9 to the 2nd power - (6 to the 2nd power x 2)-1

Answers

Answer:

8

Step-by-step explanation:

Answer:

The answer is 8.

The value of a professional basketball player's autograph rose 40% in the last year. It is now worth $294.00. What was it worth a year ago

Answers

Answer:$210

Step-by-step explanation: First you have the original worth which is equal to 100% and an additional $40%. Next you divide the current worth by 140% which can be written as 1.4. The result is $210 as the worth a year ago.

The circle below has an area of 314 square centimeters, and the square inside the circle has a side length of 2 centimeters.

What is the probability that a point chosen at random is in the blue region?

A. 2/157
B. 2/155
C. 155/159
D. 155/157

Answers

Answer:

D  

Step-by-step explanation:

Did with a teacher!

Answer:

D 155/157

Step-by-step explanation:

Which rate is not equivalent to 180 feet per 8 seconds?

Answers

Answer:

Answer is D

Step-by-step explanation:

180/8 = 22.5

All the answers equal 22.5 except for 180/1

180/8 also cannot be equal to 180/1

Answer:

D. 180ft/1 sec

Step-by-step explanation:

Hope this helps!

Mr. Reynolds is a rancher. He started with a 150 cows in his herd. Due to a hole in his fence, he now has 120 cows in his herd. By what percentage was the number of cows in Mr. Reynold's herd reduced?

Answers

Answer:

20%

Step-by-step explanation:

Therefore, the percentage of the number of cows in Mr. Reynold's herd reduced is [tex]20[/tex] %.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

Mr. Reynolds is a rancher. He started with a [tex]150[/tex] cows in his herd. Due to a hole in his fence, he now has [tex]120[/tex] cows in his herd.

Number of cows Mr. Reynolds have

[tex]\frac{120}{150}[/tex] ×[tex]100=80[/tex] %

So, the number of cows Mr. Reynolds reduced is

[tex]100[/tex] % - [tex]80[/tex] % = [tex]20[/tex] %

Hence, the percentage of the number of cows in Mr. Reynold's herd reduced is [tex]20[/tex] %.

To know more about the percentage

https://brainly.com/question/13244100

#SPJ2

Use this section to plan what you will write in the letter.
Data Analysis — Plant ranking:
i need 7 sentences about plant ranking on plants by sand dunes please help me this is due in like 10 minutes i really need help i will give brainleist

Answers

Answer:

Dunes and beaches make up

nearly 1,800 of the 3,000 miles of

seacoast in the five Gulf states,

Georgia, and Puerto Rico. Erosion is

a problem on about 900 miles of

Atlantic and Gulf coast dunes and

beaches in these areas. With the

right kinds of native and naturalized

plants, much of this erosion can be

prevented.

This publication was written to

help people select and use plants to

stabilize and beautify dunes. It is

intended mainly for planners,

iandscapers, nursery operators,

developers, and homeowners. The

information applies to coastal dunes

and beaches of Puerto Rico, Texas,

Mississippi, Louisiana, Alabama,

Florida, and Georgia.

Using plants to control dune

erosion is a high priority of Soil

Conservation Service (SCS) plant

materials programs in coastal states

and the Caribbean Area. From 1973

to 1975, 191 representative dune

sites were studied in Georgia,

Florida, Alabama, and Puerto Rico

(4, 5, 6, 7, 8V These studies

identified more than 200 species of

native and naturalized dune plants

and were supplemented by less

detailed studies in Texas, Mississippi,

and Louisiana.

Of the plant species identified in

the SCS field studies, 43 have good

potential for dune revegctation

because of their favorable

characteristics for erosion control,

their frequency of occurrence, and

their dominance in the natural

ecosystem. This publication

describes each of these 43 plants,

their areas of occurrence, and

propagation techniques.

Ocean waves, littoral drift, and

other natural forces—as well as the

activities of people—determine the

adaptability and suitability of plants

for coastal dunes. This publication

explains how the dune ecosystem

and the actions of people must be

considered in planning revegetation.

It also discusses methods of

preparing the planting site and

establishing and maintaining the

plants.

SCS has selected some of the

featured plants for thorough testing

and comparison. Several years of

tests and field trials are required

before SCS and cooperating agencies

can identify superior plants and

release approved cultivars. These

cultivars are the source of

commercially produced seed and

planting stock used in local

conservation programs.

For further assistance in protecting

coastal dunes, contact your local

SCS office, which generally is listed

in municipal telephone directories

under "United States Government,

Department of Agriculture.

Step-by-step explanation:

Dante works mowing lawns and babysitting. He earns $9.20 an hour for mowing and $7.60 an hour for babysitting. How much will he earn for 5 hours of mowing and 1 hour of babysitting?

Answers

Answer:

Step-by-step explanation:

$9.20 times 5 hours= $46 for mowing

$7.60 times 1 hour = $7.60

$7.60+  $46= $53.6 alll together

9.20 an hour for mowing
7.60 an hour for babysitting
9.20x5=46
7.60x1=7.60
46+7.60=53.60

14. Could the side lengths below form a right
triangle? Explain.
5, 7.5,2.5

Answers

Answer:

Pythagorean theorem says no

Step-by-step explanation:

Pythagorean theorem says no

I need sombody to check my answer because I don’t have PAPER

Answers

Answer:

300 + r = 217

Step-by-step explanation:

300 -> 300

added to r -> +

is the same as -> =

217 -> 217

Put this in one equation and you get:

300 + r = 217

If you need to solve for r (need to isolate r to solve for r):

300 + r = 217

r = 217 / (-300)

r = -0.723333333

You are right 300+r=217

Helps ASAP please and I will give brainliest plssssss and pls answer correctly

Answers

Answer:

D

Step-by-step explanation:

The last number of a linear equation will always be the y intercept. In word problems, the y intercept is where the initial start is. In this case, it would be 500, the tank starts off with 500 liters. Since the "-9x" is negative(decreasing), that means that by every minute(x) 9 liters are decreasing.

A superhero video game uses 6 coins. An airplane game uses twice as many coins as the superhero game. How many coins does the airplane game use? Complete the bar model, comparison, and equation to solve.

Answers

Answer:

The answer is 12..

The answer is 12!!! 12 I tell you! 12

On a biology test, Travis got 29 questions correct but did not pass. On a second attempt, he got 38 questions correct. What was the percent of increase? Round to the nearest tenth of a percent.

Answers

Answer:
We know that his first attempt he got 29 questions correct, yet he didn’t pass & the second attempt he got 38 questions correct.
So, If i’m not wrong the percentage increase is 10% [Rounded].

Explanation:
38 - 29 = 9
9 rounded to the nearest tenth is 10%.
Forgive me if I’m wrong, good luck! ^^

Answer:

Step-by-step explanation:

to find percent increase or change :

big -small ÷ original

Insert:

38-29 ÷ 29

0.31 *rounded

So, it would be a 31% increase.

Hope this helps:)

Help me with this. Please! I need it urgently!

Answers

The open side of the inequality sign indicates the larger number. So 5 > 3, 4 < 6.

This, ≥, means it is bigger than or equal.

To show < or >, the purple arrow points to where the unknown value (x or n or k or b etc.) could be, and the dot is unfilled, or white, indicating that number is not a possible value of the unknown number.

To show ≤ or ≥, the purple arrow works the same way, it points to the where the unknown value could be. But the dot is filled, showing that the number could be the unknown value.

So for question 11, the answer is x ≤ 0 (x is less than or equal to zero).

For question 12, the answer is x > 3 (x is more than three)

Hope this helped :)

What do you want us to answer

PLS HELP
I Need this done now!

Answers

Answer:

3

Step-by-step explanation:

Help me out pleaseeeee. I will give brainliest!

Answers

Answer:

C

Step-by-step explanation:

The answer to your question would be C!

Evaluate the expression for the given values.

8x+2yz, where x=12, y = 4, and z = 2

Answers

Answer:

112

Step-by-step explanation:

8x+2yz is our starting equation

8(12)+2(4)(2) I then substitute the variables for their numbers

96+2(4)(2) I then multiply 8x12, which equals 96.

96+8(2) I now multiply 2x4, which is 8.

96+16 I finally multiply 8x2 which is 16

112 Lastly I then add 96+16 which equals 112.

First, you have to plug in the variables
Here’s how:
8(12) + 2 x 4 x 2
96 + 16 =
112
That’s how you solve it! Hope it helps

The area, A, of an isosceles right triangle is a function of the length of its legs, s, and is represented by the equation: A = 1/2 S^2.

Answers

Answer:

what's the question?

Step-by-step explanation:

I have to get this done soon, it’s due today in my 5th period!

Answers

1. Is B,C and F 2. Is D 3. Is I think B and C 4. I’m sorry have no idea

use a factor tree to find the prime factors of 30 and 66

Answers

Answer:

Prime factors of 30 are 2,3 and 5. Prime factors of 66 are 2, 3 and 11.

Prime Factors of 30:2,3 and 5. Prime factors of 66:2,3 and 11.

Math.nowplsansweribeglol

Answers

Answer:

B. 70

Step-by-step explanation:

The (-5) (7) (-2) just shows (-5) times 7 times (-2). And once you do that, you get postive 70.

Could somebody please help me find the answers for 'x' for these pictures?
**Please let me know which one you solved along with the answer**

Answers

Answer:

(in order) #1

for the first one you have a vertical angle. Vertical angle is basically any 2 lines who intersect each other. The opposite sides will be congruent.

So in this case

2x+8 and 110 are oppostie sides.

2x+8=110

Which is x= 51

#2

For the second one you have supplementray angles

Now for supplementary angles its basically 2 angles added up that form a straight line And 180 degress is always the measure of a straight line. SO in this case we do

9x+12x+75=180

Which is x=5

#3

This is also a vertical angle pair and their congruent just like #1

So 5x+5=65

x=12

These are the answers! I hope this helps!
1. x=51
2. x=5
3. x=12

Find the volume of the composite figure.

Write with the correct unit of measurement, such as 5 cm^2.

Answers

Answer:

?

Step-by-step explanation:

320cm^3 do the volume of the rectangle, l•w•h then do the volume of the triangular prism b•h/2. Then add it together. Remember volume is represented by cm cubed not squared.

3/5x-4(1/8w)
simplify the Q on the top pls

Answers

Answer:

3/4 x -1

Step-by-step explanation:

sana makatulong

Answer:

3/5x - 4(1/8w) = 3/5x - 4(1/8)w = 3/5x - 1/2w

Complete the following to show how the expression can be simplified using the Commutative and Associative Properties of Multiplication.

Enter the correct numbers in the boxes.

(−0.5)(−7)(2)= ( )( )(2)
=(−7)[( )( )]
=(−7)( )
=

Answers

Answer:

[tex](-0.5)(-7)(2)= (-7 )(-0.5 )(2)\\=(-7)[( -0.5)(2 )]\\=(-7)( -1)\\=7[/tex]

Step-by-step explanation:

[tex](-0.5)(-7)(2)= (-7 )(-0.5 )(2)[/tex] Here you apply the commutative law ([tex]ab = ba[/tex]).

[tex](-7)[( -0.5)(2 )][/tex] Here apply the associative law ([tex]a(bc) = (ab)c[/tex]).

[tex](-7)( -1) = 7[/tex] A negative number by a negative number is equal to positive.

(-0.5)(-7)(2)= (-7)(-0.5)(2)
=(-7)[(-0.5)(2)]
=(-7)(-1)
=-7

What are the parts of a seed? Check all that apply.

protective coat
pollen
cuticle
stored food
sperm cells
embryo

Answers

Answer:

Seed Coat. The seed coat is the protective covering on the outside of a seed that is typically hard, thick and brown in colour

Endosperm. The endosperm is an oil, starch, and protein rich tissue

Embryo

Seed coat, embryo, and cotyledon

Question 1 (Essay Worth 2 points)

A coordinate graph is shown. The label on the x axis is Weight in pounds. The label on the y axis is Total cost in dollars. There is a line connecting the points 0, 0 and 10, 5.

The graph shows the relationship between pounds of dog food and total cost, in dollars, for the dog food.

Which statement(s) about the graph is/are true?

A. Point (0, 0) shows the cost is $0 for 0 pound of dog food.
B. Point (1, 0.5) shows the cost is $1 for 0.5 pound of dog food.
C. Point (2, 1) shows that 2 pounds of dog food cost $1.
D. Point (4, 2) shows the cost is $4 for 2 pounds of dog food.
E. Point (10, 5) shows that 10 pounds of dog food costs $5.

Answers

Answer:

mu answer is A

Step-by-step explanation:

because if an point shows (0,0) shows the cost is $0 for 0 pound of dog food

hope this helps

Can someone help me on the last question?

Answers

Answer:

2

Step-by-step explanation:

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