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Answer:

1) $52,000

2) $43,200

3) P = 325 × x + 180 × y

4) x + y ≤ 240

2·x + y ≤ 320

325 × x + 180 × y ≤ 52,000

5) Please find a similar graph created with MS Excel

6) Corn will have 80 acres

Soybean will have 160 acres

7) $54,800

Step-by-step explanation:

The acres of cropland at the Waterbrook Farm, A = 240 acres

The profit per acre in corn production, p₁ = $325

The profit per acre in soybean production, p₂ = $180

The hours of labor required by each acre of corn = 2 hours

The hours of labor required by each acre of soybeans = 1 hours

The number of acres planted with corn = x

The number of acres planted with soybeans = y

1) The farm's profit, 'P', if they planted only corn is P = p₁ × A

∴ P = $325/acre × 320 hours/(2 hours/acre) = $52,000

The farm's profit if they planted only corn, P = $52,000

2) The farm's profit, 'P', if they planted only corn is P = p₂ × A

The required labor for cultivating the 240 acres at 1 hour/acre = 240 hours of labor

Therefore, the labor is sufficient for the entire farmland, we get;

The profit, P = $180/acre × 240 acres  = $43,200

∴ The farm's profit if they planted only soybeans, P = $43,200

3) The equation for the Waterbrook Farm's profit, 'P' can be found, depending on the area of the farm used for the corn and the soybeans as follows;

P = 325 × x + 180 × y

4) The system of inequalities includes;

x + y ≤ 240

2·x + y ≤ 320

325 × x + 180 × y ≤ 52,000

5) Using DESMOS, we have;

The graph of the systems of inequalities is plotted and a graph similar to the attached graph created with MS Excel is found

6) The maximum profit point found using DESMOS is (80, 160)

Therefore, for maximum profit, 80 acres should be used for corn while 160 acres should be used for soybeans

7) The maximum profit of planting both corn and soybeans is found from the profit obtained from the land divided between corn and soybeans in order to yield maximum profit as follows;

P = 325 × 80 + 180 × 160 = 54,800

The maximum profit of planting both corn and soybeans, P = $54,800.

Answer:

5

Step-by-step explanation:

Use pythagorean theorem. The rise is 3 units and the run is 4 unites. Now the length of the line we are trying to find is a hypothenuse(the side opposite of the right angle

Answer:

No.

Step-by-step explanation:

It is not possible to make a triangle that has the angles measuring 60 degrees, 30 degrees and 45 degrees because the angles of a triangle have to add up to 180 degrees. 30+45+60=135

Therefore, these angles would not measure up to 180 degrees. It is not possible to make a triangle that has these angles. These angles measure up to 135 degrees not 180 degrees.

Answer:

Step-by-step explanation:

It's x=7.1 plus 22

Answer:

Center: (−2,−1)

Step-by-step explanation:

( use math

way )

Answer:

0.22 square units

Step-by-step explanation:

Area of the left over fabric = Area of the square piece - Area of the circle

let the side length of the square piece be 1 unit

Area of the square piece = 1 * 1

Area of the square piece = 1 square units

Area of the circle = πd²/4

d is the diameter of the circle = 1 unit (equivalent to the side length of the square)

Area of the circle = π(1)²/4

Area of the circle = 3.14/4

Area of the circle = 0.785square units

Area of the left over fabric = 1- 0785

Area of the left over fabric = 0.215 square units

Hence the amount of fabric that would be leftover is 0.22 square units

Answer:

0.22 square units

Step-by-step explanation:

Hope this helps

Answer: 1/28

Step-by-step explanation:

Answer: 8184 votes

i suck at explaining things im sorry but if u have any questions, feel free to ask

Step-by-step explanation:

3260÷5=652

652(7)=4564

3260+4564=8184

Answer: Power property:  That means the power m can be brought down to front of the logarithm.

Step-by-step explanation:

Logarithmic function, Log 152 can be written as Log 19 + 3 log2.

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bˣ is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

Given, A logarithmic function  log152

Simplifying the Function,

=> log152

=> log( 19 * 8)

From the additional property of the log,

=> log 19 + log 8

=> log 19 + log2³

From the power property of the logarithmic

=> log 19 + 3 log2

Learn more about logarithmic functions here:

https://brainly.com/question/3181916

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Answer:

m = 3

Step-by-step explanation:

I'm sure of it...

Hope it helps u !!!

Answer:

m=3

Step-by-step explanation:

Answer:

-16

Step-by-step explanation:

4x3y2

replace variables with numbers

4×-1×2×2

-4×4=

-16

Answer:

C. d=9.25h

Step-by-step explanation:

total earnings= 9.25 x number of hours worked

Answer:

Corresponding and Congruent

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

KL = 180°

JL = 2×26° = 52°

KL = KJ + JL

KJ = KL - JL

KJ =180° - 52°

KJ = 128°

Answer:

6

Step-by-step explanation:

[tex]x^y*x^n=x^{n+y}\\6+b=12\\b=6[/tex]

Answer:

6

Step-by-step explanation:

We are given here a exponential equation and we need to find out the value of b in the equation. So the given equation is ,

⇒5⁶ × 5^b = 5¹²

⇒ 5^(6+b) = 5¹² [ using aⁿ × aⁿ' = a^(n + n') ]

On comparing the bases and powers we have ,

⇒ 6 + b = 12

⇒ b = 12 - 6

⇒ b = 6

Answer:

Step-by-step explanation:

Volume of the aquarium is approximately 150 cubic feet and its height is 3 feet.

The base area is:

The answer options:

Answer:

B) -4 < y

Step-by-step explanation:

The lowest point on the y axis of the graph is -4 and everything else is higher

Answer:

the x angle = 45 ............. 45

Answer: the owner should gather more.

Step-by-step explanation:

So they can have more overall data to make sure they are correct.

The owner should gather more data.

"A proportion is an equation in which two ratios are set equal to each other."

Consider given situation,

The results on the first day: { yes, yes, yes, no, yes, no, yes, yes, no, yes, no, yes}

Total slips = 12

number of slips marked yes: n(Yes)

On day 1, n(Yes) = 8

So, the proportion of happy shoppers would be,

= 8/12

= 67.7%

This means, approximately 68% of the 12 selected slips were marked "Yes"

On a different day, the owner found that 25% of the 12 selected slips were marked "Yes"

This means the percentage of happy shoppers decreased.

From these two results we cannot determine where people are happy shoppers or not.

So, the owner should gather more data.

Learn more about proportion here:

https://brainly.com/question/6204741

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Answer:

0

Step-by-step explanation:

just calculate the simole way

Answer

Zero

Step-by-step explanation:

The negative sign in "-3" cancels out the addition sign making -2 -3 + 5.

In order of operations, you solve it left to right. So -2 -3 = -5

Then -5 + 5 = 0 or 5 - 5 = 0

Answer:

b

Step-by-step explanation:

Answer:

8d + 4c - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

5d + 4 + 2 + -9 + 3d + 4c

Step 2: Simplify

Answer:

8d + 4c - 3

Step-by-step explanation:

5d + 4 + 2 + - 9 + 3d + 4c

5d + 3d + 4c + 4 +2 - 9

8d + 4c - 3

Answer:

the formula to find area of a circle is A=πr²

so the radius is 10

A=π10²

A=20π

I hope it helps

Answer: c

Step-by-step explanation: there is already 1/4 of the pie and we know that 80 people have chosen 80, so the 3 left have to add up to 240.

Answer:

1. 615.75

2. 9

Step-by-step explanation:

Answer:

EI SONA

Step-by-step explanation: