Worth 37 points answer asap
this is a college question

a farmer is given 500 ft of fencing. He will be constructing a rectangular coral to keep pigs and sheep, however he wants to keep them separate so there will be a wall of fence in the middle of the coral as well (the dividing wall will be parallel to 2 of the sides). What are the dimensions of the coral that will maximize the area, and what is the area?

Answers

Answer 1

hi therrre you are an awesome person


Answer 2
Let the width of the corral be x and the length of the whole (undivided) corral be y.  We want to maximize the area.  A = xy.
He has 500 feet of fencing, 3x of which is taken up by the shorter ends and the dividing wall of the corral, and 2y of which is taken up by the longer sides.
Then 3x+2y=500 ft.  Supposing that we choose to solve for x first:  2y=500-3x, or 
        500-3x
y = ------------
            2
                                                                          500-3x
Then the formula for the area becomes A = x[-----------]
                                                                                2

2A = 500x -3x^2.  We must differentiate both sides with respect to x:

2(dA/dx) = 500 - 6x and seet this derivative equal to zero to find the critical value(s):

0 = 500 - 6x   becomes 6x = 500, or x = 250/3, or 83 1/3 feet.  Earlier, we saw that
        500-3x
y = ------------
            2

so, to calculate y, we substitute x=83 1/3 feet into that formula:

        500-3(250/3)
y = -------------------- ft = 250/2 ft = 125 ft.

           2


The area is then A = xy, or (83 1/3 ft)(125 ft) = 10,416 2/3 square feet.

Related Questions

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP

Answers

It might be A but I'm not 100% sure inequalities was my worst thing I learned in algebra 2

I need help  will give brilenst Write an expression where you multiply 0.035 times a power of ten so that the product is greater than 1, but less than 100.

Answers

I'm not sure I understand the question

2.758547353515625 × 10^-15

The required expression is:

0.035 × [tex]10^2[/tex] = 3.5  where the product is 1 < [tex]10^x[/tex] <  100.

To ensure that the product is greater than 1 but less than 100 when multiplying 0.035 by a power of ten, we need to find the appropriate exponent that will give us a result within this range.

Let's express 0.035 as a product of a number between 1 and 10 and a power of ten:

0.035 = 3.5 × [tex]10^{-2}[/tex]

Multiplying by a power of ten increases the value. We want the product to be greater than 1 but less than 100. So, we need to increase the exponent of ten until we reach a value within this range.

0.035 × [tex]10^x[/tex]

To ensure that the product is greater than 1, we need to increase the exponent enough to make the coefficient (3.5) greater than 1:

3.5 × [tex]10^x[/tex] > 1

[tex]10^x[/tex] > [tex]\frac{1}{3.5}[/tex]

[tex]10^x[/tex] > 0.29

To ensure that the product is less than 100, we need to find an exponent that doesn't increase the coefficient (3.5) too much:

3.5 × [tex]10^x[/tex] < 100

[tex]10^x[/tex] <  [tex]\frac{100}{3.5}[/tex]

[tex]10^x[/tex] < 28.57

Now, we need to find the appropriate exponent x that satisfies both conditions. This exponent should make the product greater than 1 but less than 100.

To simplify, we can use the fact that [tex]10^1[/tex] = 10 and [tex]10^2[/tex] = 100:

[tex]\[ 10^0[/tex] < [tex]10^x[/tex] < [tex]10^2[/tex]

Now, we can choose any exponent between 0 and 2 that satisfies the inequality. For example, we can choose x = 1:

0.035 × [tex]10^1[/tex] = 0.035 × 10 = 0.35

The product of 0.035 multiplied by [tex]10^1[/tex]  is 0.35, which is not greater than 1 but less than 100.

Putting x = 2,

0.035 × [tex]10^2[/tex] = 0.035 × 100 = 3.5

Here, the product is greater than 1 but less than 100.

The question is:

Write an expression to multiply 0.035 times a power of ten so that the product is greater than 1, but less than 100.

Assume that 2 cards are drawn in succession and without replacement from an ordinary deck of 52 cards. Find the probability that the following occurs.

1 diamond and 1 jack other than the jack of diamonds (in that order) are drawn

Answers

52 cards / 4 suites = 13 cards per suite
4 Jacks total ; 1 jack per suite

Chance of drawing a diamond on the first draw: 13/52

Without replacement means once drawn the card is not put back into the pool of cards. So the total cards, suit and type/number all decreases by one.

Chance of drawing one of the 3 non-Diamond Jacks on second draw: 3/51

Chance of drawing Diamond then non-Diamond Jack: (13/52) * (3/51) = 39/2652 = 0.015 (rounded to 1,000s place)


Find the percent of a standard normal model found in the given region

Answers

If the given is .97 the best way to explain this would be cross out the impossibles. You must notice that the variable is defined as z greater than +0.97. This would mean it has to be less than 0.5 (because it is completely excluding a half of your normal distribution which is defined by z). Therefore, b., c., d., and e. are simply not possible. leaving a as the only

Describe or show two ways to find the following product: 3 x 3/4 .

Answers

Method 1 is just straight multiplication, with the equation [tex] \frac{3}{1} * \frac{3}{4} [/tex] which then equals [tex] \frac{9}{4} [/tex]

Method 2 is turning 3 into an improper fraction of [tex] \frac{12}{4} [/tex] and multiplying it by [tex] \frac{3}{4} [/tex]. This is then equal to [tex] \frac{36}{16} [/tex]. You then reduce this to [tex] \frac{9}{4} [/tex] by dividing the top and bottom units by 4. 

Each month, a retail store awards a blue ribbon to its employee of the month. The probability that Chloe is the employee of the month is 29% in January and 49% in February. What is the probability that she is awarded a blue ribbon in both January and February?

14.21%

19.51%

10.00%

21.81%

Answers

p(E)= 29/100 * 49/100 = 0.1421= 14.21%

Answer:

Option A. 14.21%

Step-by-step explanation:

The probability that Chloe is awarded the employee of the month in January  

= 29%  P (J) = 0.29

The probability that Chloe is awarded the employee of the month in February = 49% P (F) = 0.49

As we know that both events are independent so

P ( J & F ) = P (J) × P (F)

P = 0.29 × 0.49 = 0.1421 or 14.21%

Therefore the probability that she is awarded a blue ribbon in both January and February 14.21%

calculate the area of the circle , round your answer to the nearest hundredth

Answers

The area is 25π

Hope this helps

What is the common ratio of this geometric sequence? 5, 10, 20, 40, 80.
A. -40
B. 0.5
C. 2
D. 40

Answers

Note that multip. 10 by 2 results in 20; mult. 20 by 2 results in 40, and so on.  So the common ratio is 2.

Answer:

its -2

please brainleist

Does the absolute value determine direction which the graph opens

Answers

The distance between the left and the right arm is based on the coordinates of the vertex" is the statement among the choices given in the question that holds true for absolute value functions. The correct option among all the options that are given in the question is the third option or option "C". 

Answer 2 and 4 please

Answers

the answer to question 2 is


x + 15/4 = 12

x + 15/4 − 15/4 = 12 − 15/4
x = 33/4

so your answer is: x = 8 1/4

If $3000 is deposited in an account that pays 5% interest, what is the difference in the amount after 4 years between the amount earned if the principal is compounded annually and the amount earned calculated using simple interest?


$30.72

$41.12

$46.52

$53.76

Answers

If the interest is compounded annually, then
A = P*(1+r/n)^(n*t)
A = 3000*(1+0.05/1)^(1*4)
A = 3646.51875
which rounds to 3646.52
Call this value x, so x = 3646.52
-----------------------------------
If the interest is compounded using simple interest, then
A = P*(1+r*t)
A = 3000*(1+0.05*4)
A = 3600
Call this value y, so y = 3600
-----------------------------------
Now subtract x and y
x-y = 3646.52-3600 = 46.52
-----------------------------------
Therefore the answer is choice C) $46.52

write a measurement division story problem for 6 divided by 3/4

Answers

Alana had 6 boards of wood. She want to cut them in 3/4 equally. How much in total did she cut.

Mira has 6 pieces of wood, and she wants to divide them into equal parts of 3/4. Then in total how many pieces of wood she has?

What is division?

Division is the process of splitting a number or an amount into equal parts

Here, we have,

6÷ 3/4

=6×4/3

=8

The required story may be:

Mira has 6 pieces of wood, and she wants to divide them into equal parts of 3/4. Then in total how many pieces of wood she has?

To learn more on division click:

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You deposit ​$18,000 into a savings account at a bank that has a rate of 66​% compounded monthly. Find the amount of money in the account after 44 years. 

Answers

Equation you are going to use is [tex]A = P(1+ \frac{r}{n}) ^{nt} [/tex] where A is the amount earned, P is the initial/principal amount, R is the rate, N is the number of periods the amount is compounded, and t is the time in years.

P = 18000, R = 66% or .66, N = monthly so 12, T = 44 years.

So plugging it we get [tex]A = 18000( 1 + \frac{.66}{12})^{44*12} [/tex].

Type that into your calculator or an excel sheet for your answer. My calculator  (a TI-36X Pro) gives me 3.40856195[tex] _{E} [/tex]16 which isn't  a very practical answer for money calculations. 

The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle?

Answers

A triangle has three angles, and their measures add up to 180 degrees.
An isosceles triangle has at least 2 congruent sides, and the angles opposite the congruent sides are congruent.

This triangle has one angle of 40 deg, and two angles that measure the same; call the measure of each base angle x.

x + x + 40 = 180

2x + 40 = 180

2x = 140

x = 70

The base angles measure 70 deg.

The measure of base angle is [tex]$$\boxed{{{70}^ \circ }} if the vertex angle is {40^ \circ }$$[/tex] .

Further explanation:

Given:

Vertex angle of the isosceles triangle is [tex]{40^ \circ }[/tex] .

Explanation:

The triangle three sided close Figure.

There are three type of triangles.

1. Equilateral triangle

2. Isosceles triangle

3. Scalene triangle

Equilateral triangle has all sides equal and all the angles are equal.

Isosceles triangle has 2 sides equal to each other and the two base angles are equal to each other.

Scalene triangle has all sides unequal and the angles are also not equal to each other.

The sum of all the angles of the triangle is [tex]{180^ \circ }[/tex].

Consider the base angle as y.

The value of y can be obtained as follows,

[tex]\begin{aligned}y+y+40&=180\\2y+40&=180\\2y&=180-40\\2y&=140\\y&=\frac{{140}}{2}\\y&={70^ \circ }\\\end{aligned}[/tex]

The measure of base angle is [tex]$$\boxed{{{70}^ \circ}} if the vertex angle is {40^ \circ}$$[/tex].

Learn more:

1. Learn more about inverse of the function https://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function https://brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Triangles

Keywords: vertex angle, isosceles triangle, base angle, perpendicular, altitudes, point, triangle, circumcenter, bisectors, perpendicular bisectors, angles, angle bisectors, median, intersection, incenter, right angle triangle, equilateral triangle, obtuse, acute.

In the 1939 movie The Wizard of Oz, when the brainless Scarecrow is given the confidence to think by the Wizard(by merely handing him a diploma, by the way), the first words the Scarecrow utters are, “The sum of the square roots of any two side of an isosceles triangle is equal to the square root of the remaining side.” An isosceles right triangle is just a right triangle having both legs the same length. Supposed that an isosceles right triangle has legs each length of 3. What is the length of the hypotenuse? Is the Scarecrow’s assertion valid? This question illustrated the true value of a diploma without studying.

Answers

The equation that the scarecrow uttered can be expressed mathematically as:

sqrt (C) = sqrt (A) + sqrt (B)

where A, B, and C are the sides of the triangle

 

Since the triangle is an isosceles, therefore A = B and

sqrt (C) = 2 sqrt (A)

given that the measure of the leg is 3, A = 3, C is:

sqrt C = 2 sqrt (3)

sqrt C = 3.464

C = 12

 

In a any triangle, the sum of two sides must be greater than the third side, since in this case C > A + B therefore the Scarecrow is not correct because the correct relationship should be A + B > C.

 

To find the correct hypotenuse, we start with the Pythagorean equation:

C^2 = A^2 + B^2

 

So what the scarecrow mistakenly did was to ignore the “+” symbol during the square root. Taking the square root on both sides, the correct equation is:

C = sqrt (A^2 + B^2)

 

Calculate for C, since A = B = 3:

C = sqrt (3^2 + 3^2)

C = 4.24

 

So now A + B > C and this is now correct.

If you need to be at the party in 2.5 hours, how fast would you need to drive to get there?

Answers

I literally just answered this question.

The answer is 60 km/hr.

100% positive:)

The answer would be 60 km/h. :D

The area of a rectangle mirror is 11 11/16 Square feet. The width of the mirror is 2 3/4 feet. If there is a 5 foot tall space on the wall to hang the mirror, will it fit?

Answers

We need to find the height of the mirror to solve this problem. We know the area and width, so using the formula [tex]A=l*w[/tex], we have [tex]l=\frac{A}{w}[/tex]. Then:
[tex]l=\frac{11\frac{11}{16}}{2\frac{3}{4}}=\frac{187}{16}*\frac{4}{11}=\frac{17}{4}[/tex]

Since [tex]\frac{17}{4}[/tex] is less than 5, the mirror will fit.

Answer:

Love

Step-by-step explanation:

Thanks for the help.

PLEASE HELP!!!!!!!!


A business reports a net income of −$5,040 over a 9-month period.

What is the average income per month for that period? −$45,360

−$560

$560

$45,360










On the coldest night in Vostok Station, Antarctica, the temperature dropped from 0°C to −24°C in 4 hours.

What is the average temperature change per hour?

Answers

its -$560 i just did this one :D
-5040 over a 9 month period.....-5040 / 9 = -560 per month <=

temp went from 0 to -24 in 4 hrs.....-24/4 = -6 per hr <=

The general form of the equation of a circle is 7x2 + 7y2 − 28x + 42y − 35 = 0

The equation of this circle in standard form is
A. (x - 2)^2 + (y + 3)^2 = 5
B. (x - 2)^2 + (y + 3)^2 = 18
C. (x - 4)^2 + (y + 6)^2 = 24
D. (x + 4)^2 + (y - 6)^2 = 24
E. (x + 2)^2 + (y - 3)^2 = 35

The center of the circle is at the point __

A. (-14,21)
B. (-2,3)
C. (2,-3)
D. (-4,6)
E. (4,-6)

And it's radius is ___ units.

A. 5 1/2
B. 3(2 1/2)
C. 2(6 1/2)
D. 35 1/2

Answers

Greetings!

Answer:

The standard form equation is B.

The centre of the circle is B

The radius is B.

Step-by-step explanation:

Firstly, the equation can all be divided by 7:

(7x² + 7y²− 28x + 42y − 35)  ÷ 7 =

x² + y² - 4x + 6y - 5 = 0

x² - 4x + y² + 6y - 5 = 0

Now add [tex]\frac{1}{2}* b[/tex]

0.5 * 4 = 2, 2² = 4 so 4

0.5 * 6 = 3. 3² = 9 so 9

(x² - 4x + 4) + (y² + 6y + 9) - 4 - 9 - 5 = 0

As the standard form of a circle is (x - a)² + (y - b)²= r² , we need to change this to this. Simply find a number that multiplies to 4 and adds to -4 ( -2 ) and a number that multitplies to 9 and adds to 6 (3):

(x - 2)² + (y + 3)²

Also, we need to subtract the square of the number inside the brackets, as this is completing the square:

-2 * -2 = 4

3 * 3 = 9

So we need to subtract 4 and 9, and 5 as that was in the original:

(x - 2)² + (y + 3)² - 4 - 9 - 5 = 0

To find the radius, we need to move this numbers over to the other side making them positives:

(x - 2)² + (y + 3)² = 4 + 9 + 5

(x - 2)² + (y + 3)² = 18

So the equation is B.

The centre of the circle in (x - a)² + (y - b)² is [tex]a[/tex] and [tex]b[/tex]

So in this equation the centre is -2, 3. Which is B.

The radius is the square root of whatever (x - a)² + (y - b)² equals, so the square root of 18 is the radius:

√18 = √9√2

= 3√2

= [tex]3 * (2x^{\frac{1}{2} } )[/tex]

So your answer is B.
Hope this helps!



A person who is 5.8 feet tall is standing in a pool. The top of the person's head is 1.6 feet above the surface of the water. How deep is the pool? Write your answer as a decimal.

Answers

Since the top of the person's head is above the water (by 1.6 feet), that means the water is less than 5.8 feet (the person's height).
So we have to subtract 5.8 - 1.6, and I believe the answer will be 4.2 feet.
The pool is 4.2 feet deep :)

Find the product of 20×9×5. Tell which property you used.

Answers

It's the commutative property, which tells us the order in which you do this multiplication doesn't matter.

Please use  *  to indicate multiplication, not "x."

20*9*5 = 180*5 = 900

6.2 * 10 to the third power equals

Answers

The answer would be 6200! Move the decimal 3 places to the right since you're multiplying by a number bigger than 1!
hello there
i believe that is 6,200
be a maverick and have a nice day
~hope i help~

How many minutes does it take to put 42 gallons of water in the tub at a rate of 5 1/4 gallons per minute?

Answers

Divide 42 gallons by 5 1/4 gallons per minute to get minutes.

5 1/4 = 21/4

42/(21/4) = (42/1)/(21/4) = 42/1 * 4/21 = 8

Answer: 8 minutes

One-fourth equals the quotient of a number and 8. Find the number.

Answers

Quotient=x

1/4=x/8

x=2

A quotient is a quantity produced by the division of two numbers. Hence, the quotient number is [tex]2[/tex].

What is quotient ?

A quotient is a quantity produced by the division of two numbers.

Let us assume that the quotient is [tex]x[/tex]

So, by using the given information it is of the form

[tex]\frac{1}{4}=\frac{x}{8}\\x=\frac{8}{4}\\x=2[/tex]

Hence, the quotient number is [tex]2[/tex].

To know more about quotient

https://brainly.com/question/3307796

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the length of a rectangle 15 inch longer than twice it's width. if the perimeter is 78 inches. find the length of the retangle

Answers

Perimeter of a rectangle formula:
P = 2L + 2W
Length equals:
L = 2W + 15

Substitutute 2W + 15 for L
78 = 2(2(15 + W) + 2W
Multiply the inner parentheses
78 = 2(30 + 2W) + 2W
Multiply the parentheses
78 = 60 + 4W + 2W
Add like terms
78 = 60 + 6W
Subtract 60 from both sides
18 = 6W
Divide both sides by 6
3 = W
Length equals:
2W + 15 = L
Substitute 3 for W
2(3) + 15 =L
Multiply the parentheses
6 + 15 = L
Add like terms
21 = L

the cost of an item is 100% of its price. what number goes in place of ? in the addition problem?

Answers

This works as by dividing 7.95 by the percentage multiplier 1.06 it will give you the original amount. 

An alternative method is to find out what 100% (7.95) is, then divide by 10 to find 10% and then divide by 10 again to find 1% and then multiply the 1% by 6 and subtracting the answer from 7.95.

The answer is 100 thats all you have to put trust me.

Help me please ASAP need to get this done.

Answers

A) 39 mph
B) 15 mph and 28 mph
C) Median
D) Median
E) It shows the median speed.
Not sure if this is right but it's what I'm thinking... :)

Answer:

39 mph

15 mph and 28 mph

Median

Median

It shows the median speed.

Step-by-step explanation:

Last year there were 380 students at Woodland middle school this year the student population will increase by 5% what will be the schools increased student population?

Answers

last year = 380 students

increasement = 3/100 x 380/1 = 11.4

since you can't have 11.4 students, you need to round it to 11.

so this year there will be 380 + 11 students.

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Melinda and Paul shovel driveways and sidewalks in the winter as a way to earn extra money. Together they shoveled 450 square feet of sidewalk in 30 minutes. Then Melinda shoveled for 20 minutes while Paul shoveled for 25 minutes to complete 345 square feet of driveway. 30x + 30y = 450 20x + 25y = 345 How much more can Paul shovel in 1 minute than Melinda? 3 square feet per minute 6 square feet per minute 9 square feet per minute 15 square feet per minute

Answers

30x + 30y = 450 20x + 25y = 345

Here 345 represents the total area (in sq ft) shoveled; x repres. Melinda's rate and y represents Paul's rate.  We need to solve for x and y and then subtract the smaller from the larger.

30x + 30y = 450   Multiply this eqn by 2:      60x + 60y = 900
20x + 25y = 345   Mult this eqn by -3:          -60x -75y  = -1035
                                                                    ---------------------------
                                                                              -15y  = -135
                                                                                    y = 9

This comes to 9 square feet per minute.
Now, let's find x:    30x + 30y = 450; 30x + 270 = 450; 30x = 180; x = 6

Melinda can shovel 6 sq ft in 1 min, whereas Paul can shovel 9.

The difference is (9 - 6) sq ft / min,     or     3 sq ft / min   (answer)
3 square feet for edgenuity

What is a rule for the sequence below?

1.8, 2.85, 3.90, 4.95, 6

Answers

Start with 1.8, then add 1.05 repeatedly
Hello,

The rule is to add each 1.05 each time to the number. 

If you ever want to find the common difference, simply take the second number of the sequence and subtract it by the first (2.85 - 1.8).

Hope this helps =).

May
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