A botanist is using two types of plants for an experiment. she writes inequalities to model the constraints on the number of each type of plant she can use. she uses linear programming to find the vertex of the feasible region that results in the minimum value, in dollars, of the cost function. if that vertex is (5, 39), what do the coordinates represent? buying five of one type of plant and 39 of the other type of plant results in the lowest cost. buying five of each type of plant costs $39, which is the lowest possible cost. the lowest possible cost of the plants is $5, which occurs when 39 of each type of plant are bought. the lowest possible cost of the plants is $5, which occurs when a total of 39 plants are bought.

Answers

Answer 1

The coordinates represent the numbers of plants of each type she can use and minimize the cost

Let x be the number of plants of one type.

y be the number of plants of the other type.

What is the meaning of the vertex of the feasible region?

The optimal solutions will occur at one or more of the extreme points this is the vertices of the feasible region.

We have, The vertex of the feasible region that results in the minimum value of the cost function is (5,39).

That means buying 5 of one type of plant and 39 of the other type of plant results in the lowest cost.

Thus the coordinates represent the numbers of plants of each type she can use and minimize the cost.

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Answer 2

Answer:

Buying five of one type of plant and 39 of the other type of plant results in the lowest cost.

Step-by-step explanation:


Related Questions

The rate of change is ____.
-4
-1
1
4

Answers

Answer:

-4

Step-by-step explanation:

Rate of Changes:

[tex]\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Pick two values of x and y from the given table:

I pick (1,5) and (-1,13).I define (1,5) be (x2,y2) and (-1,13) be (x1,y1)

Therefore:

[tex]\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{5-13}{1-(-1)}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{-8}{1+1}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=\dfrac{-8}{2}}\\\displaystyle \large{\dfrac{\Delta y}{\Delta x}=-4}[/tex]

Therefore, rate of change is -4

A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its width, w? 2w(2w 5) = 50 2w(w 5) = 50 w(2w 5) = 50 w(w 5) = 50

Answers

The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.

What is a rectangle?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.

Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).

Then the area of the rectangle is given as

Area = l × w

Then we have

w(2w + 5) = 50

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Your homeowners policy has a premium of $150, a deductible of $5000, and a limit of $300,000. Your home suffers $500,000 in damages. How much will you pay? How much will your insurance pay?

Answers

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this question was already asked and somebody answered!!

He will pay $200,000.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Your homeowners policy has a premium of $150, a deductible of $5000, and a limit of $300,000.

And,  Your home suffers $500,000 in damages.

Now,

Since, Homeowners policy has a premium of $150, So we can pay the amount = 12 x 150

           = $1,800

And,  Homeowners policy has a deductible of $5000.

Then, The remain amount = $500,000 - $5,000

                                        = $495,000

Since, The limit of the policy = $300,000

Hence, The remain amount = $495,000 - $300,000

                                           = $195,000

After including the deductible amount we get;

Deductible amount = $195,000 + $5,000

                             = $200,000

Thus, He will pay $200,000.

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Please help me , answer steps . Thanks..

Answers

Answer:

I think the answer is 3150 miles

I multiplied 1.50 by 21 and the answer I converted to miles

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JUST CLICK THE ATTACHMENT PHOTO

Ans: The taxi travel 13 miles

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#CARRY ON LEARNING

Nancy found that x=1 is one solution to the quadratic equation (x 2)2=a. what is the value of a? -9 -3 3 9

Answers

The value of the a, in the provided quadratic equation for which Nancy found one solution as x=1 is 9.

What is the solution of equation?

The solution of the quadratic equation is the solution of the variable of the equation, for which the equation satisfies.

Nancy found that x=1 is one solution to the quadratic equation. The quadratic equation is,

[tex](x +2)^2=a[/tex]

For this equation, one solution is x=1. Put this value in the above equation to get the value of a,

[tex](1 +2)^2=a\\(3)^2=a\\9=a\\a=9[/tex]

Thus, the value of the a, in the provided quadratic equation for which Nancy found one solution as x=1 is 9.

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Answer:

D. 9

Step-by-step explanation:

Here is a prism drawn on an isometric grid how many vertices

Answers

Answer:

C-12

Step-by-step explanation:

The definition of a Vertex of a 3D shape is 'Where 3 lines meet to form an angle' which in this case would be 12.

Answer:

it's c12 first do the edge face vertical nameing polygon and then you can get your answers

What is gain 3 pounds as a integer

Answers

Answer:

it would be +3

Step-by-step explanation:

This is he answer because +3 is equal to p+3 if pounds=p

The two triangles are similar.
What is the value of x?
Enter your answer in the box.
X=

Answers

Answer:

Step-by-step explanation:

In similar triangles, the corresponding sides are in same proportion.

[tex]\sf \dfrac{4x}{3x+1}=\dfrac{15}{12}[/tex]

Cross multiply,

4x*12 = 15*(3x + 1)

48x    = 15*3x + 15*1

48x    = 45x + 15

48x -45x = 15

          3x = 15

           x = 15/3

x = 5

In Δ​ABC, AB=24.9​, AC=15.8​, and BC=24.4. What is m∠​A?

Answers

Answer:

approximately 71.50215

Step-by-step explanation:

When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each axis on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables? Could you graph an equation containing more than four variables? Explain.

If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 1? What would happen to the graph if all the x-values were increased by 1? What would happen to the graph if all the y-values were multiplied by 2 or by 1/2? Explain

ill mark the brainliest if the answer isnt a copy and paste from the other answers

Answers

Answer:

Step-by-step explanation:

See attached image.

1.  What would you use to graph the solution to an equation with one variable?      

I picked an example equation, y=2x+3, to demonstrate the impacts of changing condions.  It is the blue line.  I'm not sure how to answer the quesion "What would you use . . .", but my response would be "I would use DESMOS to graph the solution."  It is free, efficient, and very flexible.  It can handle multiple equations and a variety of functions.

2.  What would happen to the graph if all the y-values were increased by 1?

I added 1 to the right side of the equation to increase all the y values by 1.  It is the black line.  All points are raised by 1.

3.  What would happen to the graph if all the x-values were increased by 1?

I added +1 to each x value, shown as the red line.  All points are increased by 2 over the original line.

4.  What would happen to the graph if all the y-values were multiplied by 2 or by 1/2?

See Increeases2, attached.  The slopes of the lines are doubled when the y values are doubled, and decreased by (1/2) when they are multiplied by (1/2).  The y intercepts are also doubled or halved, respectively.

need help with this question

Answers

Answer:

f'(0)= -2/5

Step-by-step explanation:

Factor out and show the step by step explanation of the answer for x^2+24x+5

Answers

Answer:

x =(24-√596)/2=12-√ 149 = -0.207

x =(24+√596)/2=12+√ 149 = 24.207

Step-by-step explanation:

Factoring  x2-24x-5

The first term is,  x2  its coefficient is  1 .

The middle term is,  -24x  its coefficient is  -24 .

The last term, "the constant", is  -5

Multiply the coefficient of the first term by the constant   1 • -5 = -5

Find two factors of  -5  whose sum equals the coefficient of the middle term, which is   -24 .

     -5    +    1    =    -4

     -1    +    5    =    4

Two solutions were found :

x =(24-√596)/2=12-√ 149 = -0.207

x =(24+√596)/2=12+√ 149 = 24.207

Over a year, Andy placed 836 phone calls. When he looked at his yearly call log, he noticed that all the calls went to 11 phone numbers.

If he made the same number of calls to each of the numbers, how many times did he call each number?
87

76

847

912

Answers

By taking the quotient between the number of calls and the number of phone numbers, we see that each number was called 76 times.

How many times did he call each number?

We need to find the quotient between the total number of calls and the total number of phone numbers called.

We know that the total number of calls is 836, while it is equally distributed between 11 phone numbers.

The number of times that each of these numbers was called is given by:

N = 836/11 = 76

This means that he calls each number 76 times.

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What is the area of a circle whose radius is 4 ft?

Question 2 options:

16πft2

64πft2

8πft2

4πft2

Answers

Answer:

16pi ft^2

(the first answer)

Step-by-step explanation:

Write the polynomial in standard form.
( look at photo )

Answers

Answer:

[tex]b^{2} -2b+5[/tex]

Step-by-step explanation:

How many hours will it take them to mow their lawn?

Answers

Answer:

C. 2

Step-by-step explanation:

h/6 + h/3 = 1

h/6 + 2h/6 = 1

3h/6 = 1

3h = 6

h = 2

C
Because 2/3 turns to 4/6 and 4/6+2/6 equals 1

how do I find the volume of an upright rectangle?

Answers

Answer:

v=l×h×w

Step-by-step explanation:

that the furmula

Use the information provided to answer Part A and Part B for question 11.
Three congruent figures are shown in the coordinate plane.
8
-7
-5
9-3-7 65
A
N
-4
-5
-6
-7
-8
3
11. Part A
Which statement describes a possible sequence of transformations that
transforms figure 1 into figure 2?
A. a reflection across the x-axis, followed by a translation 2 units to the left
B. a reflection across the x-axis, followed by a translation 3 units to the right
C. a rotation 180° clockwise about the origin, followed by a translation
2 units to the left
D. a rotation 180° clockwise about the origin, followed by a translation
3 units to the right

Answers

Answer:
B. A reflection across the x-axis followed by a translation 3 units to the right.

The correct statement about the congruent figures is,

⇒ a reflection across the x-axis, followed by a translation 3 units to the right.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

Three congruent figures are shown in the coordinate plane.

Now, From figure A and figure B,

Figure B is reflection across the x-axis, followed by a translation 3 units to the right across the figure A.

Thus, The correct statement about the congruent figures is,

⇒ a reflection across the x-axis, followed by a translation 3 units to the right.

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Which equation illustrates the identity property of multiplication? (a bi) × c = (ac bci) (a bi) × 0 = 0 (a bi) × (c di) = (c di) × (a bi) (a bi) × 1 = (a bi)

Answers

The equation that illustrates the identity property of multiplication is (a+bi) × 1 = (a+bi).

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The identity property of multiplication states that when a factor is multiplied by 1 the result is the factor itself. Therefore, the equation that illustrates the identity property of multiplication is (a+bi) × 1 = (a+bi).

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Answer:

D

Step-by-step explanation:

duh

An onion soup recipe calls for 3 2/3 cups of chopped onions Katrina has already chopped 1 1/3 cups of onions. She wants to know how many more cups she needs to chop. PLLLLS HELP ILL BE UR BESTIE!!

Answers

Answer:

2 1/3 cups of onions

Step-by-step explanation:

3 2/3-1 1/3= 2 1/3 cups

What is the area of parallelogram ABCD?

Will mark brainlyest!!!

Answers

answer is 12cm^2
A=Bh

4x3 = 12cm^2

x-3 and 2x-1 are factors of 2x^3-px^2-2qx+q. Find the values of p and q.

Answers

Answer:

p =1

q = 9

Step-by-step explanation:

f(x) = 2x³ - px² + 2qx + q

(x - 3) is a factor of f(x)

⇒f(3)  = 0

2(3)³ - p*3² - 2q*3 +q = 0

2*27 - 9p - 6q + q = 0

    54 - 9p - 5q = 0

            -9p - 5q = -54 -------------------(I)

(2x - 1) is a factor of f(x)

2x - 1 = 0

      2x = 1

        [tex]\st x = \dfrac{1}{2}[/tex]

f(1/2) = 0

[tex]2*(\dfrac{1}{2})^{3}-p*(\dfrac{1}{2})^{2}-2q*\dfrac{1}{2}+q=0\\\\2*\dfrac{1}{8}-p*\dfrac{1}{4}-q+q = 0\\\\\dfrac{1}{4}-\dfrac{1}{4}p =0\\\\[Multiply the entire equation by 4]\\\\4*\dfrac{1}{4}-4*\dfrac{1}{4}p=0\\\\[/tex]

1 - p = 0

    -p = -1

p = 1

Substitute p =1 in equation (I)

-9*1 - 5q = -54

 -9 - 5q = -54

      -5q = -54 + 9

      -5q = -45

           q = -45/(-5)

q = 9

What are prime numbers used for?

Answers

A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product, 1 × 5 or 5 × 1, involve 5 itself. However, 4 is composite because it is a product (2 × 2) in which both numbers are smaller than 4. Primes are central in number theory because of the fundamental theorem of arithmetic: every natural number greater than 1 is either a prime itself or can be factorized as a product of primes that is unique up to their order.

please teach me how to do this

Answers

Answer:

7.2

Step-by-step explanation:

We know that the radius is always the same throughout the entire circle. That is, any line going from the center of the circle to the edges = radius. In this problem, radius = 20.9 and so does the other 4 lines going from the center of the circle to the edge.

Since there is a right angle, we know that both triangles are right triangles where hypotenuse, c = 20.9 and b = 19.6. To solve for x, use pythagorean theorem:

a² + b² = c²

x² + 19.6² = 20.9²

x² + 384.16 = 436.81

x = √(436.81 - 384.16)

x = √52.65

x ≈ 7.256

Hope this helps!

what is the distance between (4,7) and (-3,9)

Answers

Answer:

7 to the left, and up 2.

Step-by-step explanation:

The surface area of a rectangular-prism-shaped skyscraper is 1,115,000 m2. What is the surface area of a similar model that has a scale factor of 1/800? Round your answer to the nearest tenth.

Answers

The surface area of a similar rectangular-prism-shaped skyscraper that has a scale factor of 1/800 would be equal to 1.7 meter.

The surface area of a rectangular prism.

Mathematically, the surface area of a rectangular-prism is given by this formula:

A = 2(wl + hl + hw)

Where:

A is the surface area.l is the length.w is the width.h is the height.

Given the following data:

Surface area of rectangular prism = 1,115,000 m²

Scale factor = 1/800

The length, height and width of the similar model would be 1/800 the original rectangular-prism-shaped skyscraper.

Substituting the given parameters into the formula, we have;

Surface area = 1,115,000 × 1/800 × 1/800

Surface area = 1.7 meter.

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Solve with picture PLEASE show all work

Answers

Answer:

40 in.^2

Step-by-step explanation:

Let's name the 2 shaded triangles: The left one is T1 and the right one is T2.

The area of a right triangle can be found using the equation (a*b)/2.


The 2 legs of T1 are 8 in. and 6 in. (from 10 - 4)
Area of T1 = [tex]\frac{8 * 6}{2}[/tex] = 24 in.^2

The 2 legs of T2 are 8 in. and 4 in.
Area of T2 = [tex]\frac{8 * 4}{2}[/tex] = 16 in.^2

Area of shaded region = 16 + 24 = 40 in.^2

Please help first correct answer gets brainleist and 100 points please I'll answer your questions ​

Answers

Answer:

a) AE and BC are parallel (as shown by the markings)

b) ED and CD are equal in length (as shown by the markings)

c) 3: AE is perpendicular AB, AB is perpendicular to AE/AC, AC is perpendicular to AB

Without buying points, a monthly mortgage payment will be $1,250. buying 1 point at closing would reduce the payment to $1,236. to the nearest year, how long would it take to break even by buying 1 point, with a $100,000 mortgage? a. 5 years b. 6 years c. 7 years d. 8 years

Answers

Without buying points, the time that will be taken to break even will be 6 years.

How to calculate break-even?

The monthly mortgage payment will be $1,250. Buying 1 point at closing would reduce the payment to $1,236.

1 point= $1000

The time taken will be:

Monthly savings = 4250/1236 = 14

Time taken = 7

1000/14 = 71.4 months

71.4/12=5.95 years = ~6 years

Thus, The time that will be taken to break even will be 6 years.

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Answer: 6

Step-by-step explanation:

PLEASE HELP 20 POINTS

Answers

Correct answer: third one from the top.

cos(a) = 45/60
a = cos^-1(45/60)
a = 41.41 to the nearest hundredth.
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