Use the formula V = ²h, where r is the radius and h is the height, to find the volume of the inside of this cylindrical pipe in terms of pi.

Use The Formula V = H, Where R Is The Radius And H Is The Height, To Find The Volume Of The Inside Of

Answers

Answer 1

Answer:

Below

Step-by-step explanation:

r = 1/2 diameter = 4 x^2 y^2

Volume = pi  r^2 h =

            pi  (4 x^2 y^2 )^2   * ( 12 x^2 y^2 ) =

               16 x^4 y^4   *  12 x^2 y^2  * pi

             =  192 x^(4+2) y^(4+2)  pi

             = 192 x^6 y^6  pi


Related Questions

If 36 is added to a number, it will be 4 times as large as it was originally. Find the number

Answers

Answer:

4 I think

Step-by-step explanation:

4+36=40, 10x4=40

Answer: 12

Step-by-step explanation:

1) Create an equation. Lets call the missing number x. 36 is added to x or 36+x and when 36 is added to x it is 4 times of x or 4x, so our equation is 36+x=4x.

2) Bring the variable to one side by subtracting x on both sides. Our new equation is 36=3x.

36) Get rid off the coefficient 3 by dividing 3 on both sides to get x=12

Suppose an object moves along the y axis so that its location is yequals​f(x)equalsxsquaredplusx at time x​ (y is in​ meters, x is in​ seconds). Find ​(A) The average velocity​ (the average rate of change of y with respect to​ x) for x changing from 2 to 5. ​(B) The average velocity for x changing from 2 to 2+h. ​(C) The instantaneous velocity at xequals2 second. ​(A) The average velocity is 8 ​m/sec. ​(B) The average velocity is (nothing )​m/sec. ​(C) The instantaneous velocity is 5 ​m/sec.

Answers

When x changes from 2 to 5, the average velocity (or average rate of change of y with respect to x) is 9.33 m/s. When x changes from 2 to 2 + h, the average velocity is 2 + hm/s.

How can the average velocity be determined?

Average speed is determined by dividing the total distance you travelled by the total time, whereas average velocity is determined by dividing your displacement (a vector Throughout the entire period, position to your finish position).

(A) The following formula is used to get the average velocity when x changes from 2 to 5:

value of y at x = 2

= 2²+2 = 6 m

value of y at x = 5

= 5²+5 = 30 m

displacement equals 30 – 6 = 24 m.

Time is 5 - 2 = 3 seconds.

average velocity

= displacement /Time duration

= 24/3 = m/s

B) Value of y at x = 2 = 5 for x changing from x to x plus ie for minimal change in x.

Displacement during a little change in x will be 0 because the value of y will once again be 5.

C )  

y(x) = x² + x

dy / dx = 2x + 1

dy / dx  represents instantaneous  velocity

so when x = 2

instantaneous velocity = 2 x 2 +1

= 5 m /s

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2 brothers are to share $2600 in the following ratio 9:6 how much will each brother get ?

Answers

Answers

9x+6x=2600

15x=2600

x=520/3

9x=9×520/3=1560

6x=6×520/3=1040

D. Higher Order Thinking A sequence has both even and odd numbers. It follows a subtraction pattern. Can the pattern be subtract 4? Subtract 5? Explain.​

Answers

Regarding the pattern, we have that:

The pattern cannot be subtract 4.The pattern can be subtract 5.

How to identify the correct pattern?

Regarding subtraction by even numbers, we have that:

When an even number subtracts an even number, the result is even.When an even number subtracts an odd number, the result is odd.

Hence the pattern cannot be subtract 4, as the sequence would be composed either by all even numbers or all odd numbers.

Regarding subtraction by odd numbers, we have that:

When an odd number subtracts an even number, the result is odd.When an odd number subtracts an odd number, the result is even.

We can see that the results alternate, hence the pattern can be subtract 5.

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A restaurant at the food court in a mall is offering a lunch special. The table shows the relationship between the number of side dishes and the total cost of the special.


Restaurant
Number of Side Dishes Total Cost
2 $8.25
4 $11.25
5 $12.75
8 $17.25


Which of the following graphs shows the relationship given in the table?
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 7 and 25 hundredths through the point 3 comma 11 and 75 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 7 and 75 hundredths through the point 3 comma 12 and 25 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 25 hundredths through the point 3 comma 9 and 75 hundredths
graph with the x axis labeled number of side dishes and the y axis labeled cost in dollars and a line going from the point 0 comma 5 and 5 tenths through the point 5 comma 13

Answers

The requried graph with the x-axis labeled a number of side dishes and the y-axis labeled cost in dollars and a line going from point [0,5.25] through point [3, 9.75]. Option C is correct.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
Calculate the slope of the given relation in the table, using any two of the ordered pair,
m = 11.25 - 8.25 / 4 - 2
m = 3/2
m = 1.5

Now calculate the slope in each option, the slope of any option matches with m = 1.5 then that will be the required graph, so the slope of the graph mentioned in option C matches with m = 1.5.

Thus, Option C is the required answer.

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Please help me !!! I can’t find the answer

Answers

Answer:

              Based on the measures of the following triangle's angles, the triangle can be classified as an obtuse triangle.

Step-by-step explanation:

              In order to decide which type of triangle this is, first we must understand what an acute, right, and obtuse triangle are. Acute triangles are triangles with all three of its angles less than 90°, right triangles are triangles with one angle that is exactly 90°, and obtuse triangles are triangles with one angle that is greater than 90°. Overall, we can determine the type of this triangle by looking at its angles.

             The given triangle has the angles 25°, 136°, and 19°. Now we can compare it to the rules above and see whether this triangle is acute, right, or obtuse. As the given triangle has an angle that is greater than 90°, we can conclude that the following triangle is an obtuse triangle.

Have a great day! Feel free to let me know if you have any more questions :)

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,
determine how long it will take for the object to hit the ground below. NEAREST TENTH

Answers

Solving a quadratic equation, we will see that the object will hit the ground after 5.9 seconds.

How long it will take for the object to hit the ground below?

The equation for the vertical movement of an object will be:

H(t) = -16*t^2 + v0*t + h0

Where v0 is the initial velicity, in this case 85ft/s, and h0 is the initial height,  55ft.

Then the height equation is:

H(t) = -16*t^2 + 85*t + 55

The object will hit the ground when the height is equal to zero, then we need to solve:

-16*t^2 + 85*t + 55 = 0

Using the quadratic formula we will get:

[tex]t = \frac{-85 \pm \sqrt{(85)^2 - 4*(-16)*55} }{2*-16} \\\\t = \frac{-85 \pm 103.7 }{-32}[/tex]

We only care for the positive solution, which is:

t = (-85 - 103.7)/-32 = 5.9

So it will take 5.9 seconds for the object to hit the ground.

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Over the last 3 evenings, Laura received a total of 68 phone calls at the call center. The third evening, she received 2 times as many calls as the first evening. The first evening, she received 8 more calls than the second evening. How many phone calls did she receive each evening?

Answers

On first evening she receives 19 calls and on second evening  she receives 11 calls while on 3rd evening she receives 38 calls.

What is equation?

A mathematical equation is a fοrmula that joins two statements and uses the equal symbol (=) tο indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is knοwn as an equation in algebra. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the twο sentences oοn either side of a letter is described by a mathematical formula. Often, there is οnly one variable, which alsο serves as the symbol, fοr instance, 2x – 4 = 2.

X, Y, and Z represents the 1st , 2nd, and 3rd evenings

X + Y + Z = 68

⇒ X = Y + 8

⇒ Z = 2(Y + 8)

⇒ Y + Y + 8 + 2(Y + 8) = 68

Y = 11 calls

And

X = (11)+ 8 = 19 calls

Z = 2((11) + 8) = 38 calls

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How can i put this in slope intercept form?
X int= 5; Y int= -2

Answers

If your aware of the slope intercept form it’s y=mx+b where M is your slope/x intercept and b is your y-intercept so it would be y=5x-2. Hope that was helpful!

What’s the correct answer answer asap for brainlist NOW

Answers

C. "He observes, 'the older, wiser, and better people...proved to be in error...' (Saki 1)" is the passage that is explaining the data (the citation) that was used.

What do you mean by Passage?

A passage is a piece of written or spoken text that is typically a part of a larger work or composition, such as a book, article, speech, or poem. Passages can be of varying lengths, ranging from a few sentences to several pages or more, and can be written in different styles and genres. They are usually composed to convey information, express ideas or opinions, tell a story, or evoke emotions in the reader or listener. Passages can be analyzed and interpreted for their literary or rhetorical devices, such as metaphors, similes, allusions, and rhetorical appeals. In academic settings, students are often asked to read and analyze passages as a part of their coursework.

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identify all the linear functions with a rate of change greater than or equal to 1.5

Answers

A, B, E

A) the y values change by 7 and the x values change by 2 which gives a rate of change of 3.5

B) the equation from this is y=3x+4, the rate of change is 3

C) the line rises 2 runs 3, giving a rate of change of 0.667

D) the y value increase by 4 and the x increases by 5, giving a rate of change of 0.8

E) the rate of change is 3/2 which in decimal form is 1.5

Please help me with this Problem!

Answers

Answer:

what is that maybe l can be of help to u

In circle L with m/KLM = 60 and KL = 18 units, find the length of arc KM.
Round to the nearest hundredth.
M
K

Answers

In circle L with m/KLM = 60 and KL = 18 units, the length of arc KM is approximately 18.85 units.

What is circle?

A circle is a geometrical shape that is defined as the set of all points in a plane that are equidistant from a given point called the center of the circle. The distance between the center of the circle and any point on the circle is called the radius of the circle.

We can use the formula for the length of an arc of a circle:

L = rθ

where L is the length of the arc, r is the radius of the circle, and θ is the angle subtended by the arc at the center of the circle (in radians).

In this problem, we are given the measure of the central angle m/KLM = 60 degrees, which is equal to 60/360 = 1/6 of a full revolution (360 degrees). Therefore, the angle θ subtended by the arc KM is:

θ = (1/6) * 2π = π/3 radians

To find the length of arc KM, we need to know the radius of circle L. Since we are not given this information directly, we can use the fact that KL is a chord of the circle and the perpendicular bisector of KL passes through the center of the circle. Let O be the center of circle L, and let N be the midpoint of KL. Then ON is the radius of the circle, and KN = KL/2 = 9 units.

We can use the Pythagorean theorem to find ON:

ON² = OM² + MN²

where OM is the distance from O to the midpoint of LM. Since OM is perpendicular to LM, it is also the altitude of triangle KLM, and we can use the formula for the altitude of an equilateral triangle to find that OM = ([tex]\sqrt{3}[/tex]/2)KL = 9[tex]\sqrt{3}[/tex] units.

Since MN = KL/2 = 9 units, we have:

ON^2 = [tex](9*\sqrt{3} )^2 + 9^2[/tex] = 243 + 81 = 324

so ON = 18 units.

Now we can find the length of arc KM using the formula:

L = rθ = 18 * (π/3) = 6π units

Rounding to the nearest hundredth, we get:

L ≈ 18.85 units.

Therefore, the length of arc KM is approximately 18.85 units.

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which answer choice is the correct one

Answers

The answer is (1,-1) :)

. For the first 40 hours Kayla works per week, she gets paid $12/hr. For each hour over 40
worked, she gets paid $18/hr. Write a piecewise function to represent her total pay with
respect to the number of hours worked. How much will she make for working 50 hours?

Answers

Answer:

$660

Step-by-step explanation:

If she gets $12/ an hour and works for 40 hours, 12*40=480. For every hour over 40, she gets $18/an hour, so if she works for 50 hours, you do 18*10 since she only worked 10 hours over 40. 18*10=180. To get the total amount, you do 480+180, which is 660.

Hope this helps! Please give brainliest!

Answer:

Therefore, Kayla will make $660 for working 50 hours.

Step-by-step explanation:

Let H be the number of hours worked in a week. The total pay can be represented as a piecewise function as follows:

f(H) =

12 * min(H, 40) +

18 * max(0, H - 40) if H >= 0

So, for H = 50 hours worked, we have:

f(50) = 12 * min(50, 40) + 18 * max(0, 50 - 40)

= 12 * 40 + 18 * (50 - 40)

= 480 + 180

= $660

Therefore, Kayla will make $660 for working 50 hours.

)) Of the 90 people who attended the Baybridge Middle School Winter Formal, 18 are
not students at Baybridge.
4) Shade the grid to show the fraction of the people who attended the formal who are not
students at Baybridge.
) What percent of the people who attended the Winter Formal are not students at
Baybridge Middle School? You can use your model to help.

Answers

Answer:

Step-by-step explanation:

To find the percent of the people who attended the Baybridge Middle School Winter Formal who are not students at Baybridge, we can use the following steps:

Find the fraction of non-student attendees: 18 attendees out of 90 total attendees can be represented as 18/90.

Convert the fraction to a decimal: 18/90 = 0.20, which can be rounded to 0.2.

Convert the decimal to a percentage: 0.2 * 100 = 20%.

So, 20% of the people who attended the Baybridge Middle School Winter Formal are not students at Baybridge.

An online furniture store sells chairs for $150 each and tables for $350 each. Every day, the store can ship no more than 22 pieces of furniture and must sell at least $4800 worth of chairs and tables. If
x
x represents the number of tables sold and
y
y represents the number of chairs sold, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer: x+y=22; 150x+350y=4800

Step-by-step explanation:

help help help help help help help help help help help help help help help

What is the number of sides of a regular polygon in which each interior angle has a measure of 165°?

Answers

Answer:

the answer is 24 sides

explanation

please help I really really need it.

Answers

Answer:3/a-6

Step-by-step explanation:

if TAN a =21/29 calculate the values of seca - coseca/seca+coseca

Answers

The values of sec a - cosec a/sec a+cosec a is 4/25.

Trigonometric ratios:

The trigonometric ratios of any acute angle in a right-angled triangle are the ratios of its sides to that angle.

In a right-angled triangle,

Sin θ = Opposite Side /HypotenuseCos θ = Adjacent Side /HypotenuseTan θ = Opposite Side/Adjacent Side Sec θ =  1/cos θCosec θ = 1/sin θ

Here we have

tan A = 21/29

As we know Tan θ = Opposite side/Adjacent side  

=> Opposite side = 21

=> Adjacent side = 29

In a right-angle triangle,

=> Hypotenuse² = Opposite side² + Adjacent side²  

=> Hypotenuse² = 21² +29²    

=> Hypotenuse² = 441 + 841    

=> Hypotenuse² = (35.8)²  

Cos a = Adjacent side /Hyopenuse = 29/ 35.8

Sin a = Opposite side/Hypotenuse = 21/35.8

The given expression can be solved as follows

=> [tex]\frac{seca - coseca}{seca+coseca } = \frac{ \frac{1}{cos a}-\frac{1}{sina} }{\frac{1}{cos a }+\frac{1}{sin a} }[/tex]      

=> [tex]\frac{ \frac{sin a - cosa}{cos a sn a} }{\frac{sin a + cos a}{cos a sin a} }[/tex]  

=> [tex]\frac{sin a - cosa}{cos a+ sin a}[/tex]  

=> [tex]\frac{ \frac{21}{35.8} - \frac{29}{35.6} }{\frac{29}{35.8} + \frac{21}{35.8} }[/tex]  

=> [tex]\frac{21- 29}{29+21}[/tex]  

=>  [tex]\frac{8}{50}[/tex]  

=>  [tex]\frac{4}{25}[/tex]  

Therefore,

The values of sec a - cosec a/sec a+cosec a is 4/25.

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A new bank customer with $3,000 wants to open a money market account. The bank is offering a simple interest rate of 1.2%

Answers

Answer:

Alright, so we want to know how much that can be earned in one year. So that's going to be 3000. And this is simple interest. So this is one plus 0.011, which equals $3,033. And that's the solution to this exercise.

Answer:

$3,036

Step-by-step explanation:

The new customer can open a money market account. The bank will deposit $3,000 into the account.

The bank will pay 1.2% (0.012) in interest every year. This interest will increase the original amount to $3,036.

a square law has area 128ft squared what is the radius of the circle

Answers

Answer: 6.38

.................

To get a free meal at his favorite restaurant in town needs to spend $50 or more at the restaurant he has already spent $30.25. How much more does Tom need to spend to get his free meal?
Write an inequality to solve the problem

Answers

Answer:

x [tex]\geq[/tex] 19.75

Step-by-step explanation:

x ≥ 50 - 30.25

x ≥ 19.75

To get a free meal, he needs to spend 19.75 or more.

14. What is the equation of the line that passes through the
point (-3, -5) and has a slope of
-2/3

Answers

Answer:

y=-2/3x-0.5

Step-by-step explanation:

y=mx+b is the equation for slopes so I used it and all I needed to find was the y-intercept, which is -0.5

A helicopter hovers 1025 feet above a small island.The figure shows that the ang;e of depression from the helicopter to point P is 32 degrees. How far off the coast, to the nearest foot, is the island?

Answers

Answer:

The island is 728 feet off the coast.

Step-by-step explanation:

Multiple Step-Find the value of X.

117

93

(6x+9)

87

Answers

The value of x is given as follows:

x = 9.

How to obtain the sum of the interior angle measures?

The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:

S(n) = 180 x (n - 2).

The figure for this problem has four sides, hence the sum of the internal angle measures is given as follows:

S(4) = 180 x (4 x 2)

S(4) = 360º.

Adding the four angle measures and equaling them to 360º, the value of x is obtained as follows:

117 + 93 + 87 + 6x + 9 = 360

306 + 6x = 360

6x = 54

x = 54/6

x = 9.

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What is the solution to the equation 16^2x-3 . 4^-2x = 4^2

Answers

The solution to the equation 16^{2x - 3} · 4^{-2x} = 4^2 include the following: C. x = 4.

What are the laws of indices?

In Mathematics, laws of indices can be defined as the standard principles or rules that are used for simplifying an equation or expression that involves powers (exponents) of the same base.

By rewriting the mathematical expression and applying the multiplication law of indices, we have the following:

16^{2x - 3} · 4^{-2x} = 4^2

4^2{2x - 3} · 4^{-2x} = 4^2

2{2x - 3} + {-2x} = 2

4x - 6 - 2x = 2

2x = 2 + 6

2x = 8

x = 8/2

x = 4.

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Isosceles trapezoid KRWT is shown

Given KRWT is an isosceles trapezoid with KR and TW
Prove: WK = TR

An incomplete two-column proof is shown

Answer Choices:
- - - -
What is the missing statement in step 3

More info is in the picture
Thank you for any help!

Answers

The supportive statement is m∠WKT ≅ m∠TRW.

What is a trapezoid?

An open, flat object with four straight sides and one pair of parallel sides is referred to as a trapezoid or trapezium.

A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases. The legs of a trapezium can also be parallel. The parallel sides may be vertical, horizontal, or angled.

The altitude is the measurement of the angle perpendicular to the parallel sides.

We know a trapezoid is isosceles if the two nonparallel sides are equal.

Therefore, In KWRT, [tex]\overline{WK}[/tex] ≅ [tex]\overline{TR}[/tex] and [tex]\overline{KR} || \overline{TW}[/tex].

The missing statement to support all other statements would be,

m∠WKT ≅ m∠TRW as the angle formed by the pair of the corresponding sides is equal.

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Describe how you know whether an equation will be true for all values of x or true for no values of x

Answers

Answer:

Step-by-step explanation:

Generally an equation which will be true for all values of x have some statement which can be simplified into another state which will always be true.

So for example: [tex]x+4=x+4[/tex], is kind of a bit obvious to tell it's going to be true for all values as the two expressions have the same exact terms, but we can subtract "x" from both sides leading us to the statement: [tex]4=4[/tex] which is always true.

One important thing to note is you must be cautious at times, for example: [tex]\frac{x-2}{x-2}=\frac{x-2}{x-2}[/tex] may seem to be true for all values, and x-2 over x-2 is the same thing, so it simplifies to one and same thing on the right side: [tex]1=1[/tex] thus the statement should be true for all values right? Not completely, it's true for most values, except for x=2, and this is because 1=1 isn't exactly the same expression. In the original fraction the denominator has an x-2, and if we plug in x=2, we get 2-2 resulting in division by one, which of course isn't definable. So that's just one important thing to note as simplifying expressions may result in expressions that look equal, but are slightly different in a way.

Kilgore’s Deli is a small delicatessen located near a major university. Kilgore’s does
a large walk-in carry-out lunch business. The deli offers two luncheon chili specials,
Wimpy and Dial 911. At the beginning of the day, Kilgore needs to decide how much of
each special to make (he always sells out of whatever he makes). The profit on one serving
of Wimpy is $.45, on one serving of Dial 911, $.58. Each serving of Wimpy requires .25
pound of beef, .25 cup of onions, and 5 ounces of Kilgore’s special sauce. Each serving of
Dial 911 requires .25 pound of beef, .4 cup of onions, 2 ounces of Kilgore’ s special sauce,
and 5 ounces of hot sauce. Today, Kilgore has 20 pounds of beef, 15 cups of onions, 88
ounces of Kilgore’s special sauce, and 60 ounces of hot sauce on hand.
a. Develop a linear programming model that will tell Kilgore how many servings of
Wimpy and Dial 911 to make in order to maximize his profit today.
b. Find an optimal solution.
c. What is the shadow price for special sauce’? Interpret the shadow price.
d. Increase the amount of special sauce available by 1 ounce and re-solve. Does the solu
tion confirm the answer to part (c)? Give the new solution.
Show step by step solution of each sub part by using excel solver

Answers

a) The linear programming model is 0.45x + 0.58y.

b) An optimal solution is  $32.26.

c) The shadow price for special sauce is $0.10

d) The new solution is $0.22

Linear programming is a mathematical technique that is used to find the optimal solution to a problem with multiple variables and constraints.

a) Develop a linear programming model:

Let x be the number of servings of Wimpy, and y be the number of servings of Dial 911. Then, the objective function to be maximized is:

0.45x + 0.58y

The profit on one serving of Wimpy is $0.45, and on one serving of Dial 911, it is $0.58.

The constraints are:

0.25x + 0.25y ≤ 20 (available beef)

0.25x + 0.4y ≤ 15 (available onions)

0.05x + 0.02y ≤ 88 (available special sauce)

0.05y ≤ 60 (available hot sauce)

x, y ≥ 0 (non-negativity)

b) Find an optimal solution:

We can use Excel Solver to find the optimal solution to this linear programming problem. By setting the objective function to maximize, and entering the constraints, we get the optimal solution as follows:

Number of servings of Wimpy = 52

Number of servings of Dial 911 = 18

Maximum profit = $32.26

This means that Kilgore should make 52 servings of Wimpy and 18 servings of Dial 911 to maximize profit, and the maximum profit he can earn is $32.26.

c) The shadow price for special sauce is the change in profit that will result from a one-unit increase in the amount of special sauce available. We can use Solver to find the shadow price by changing the value of the available special sauce constraint from 88 to 89, and noting the change in profit.

The shadow price for special sauce is $0.10.

d) We can increase the amount of special sauce available by changing the constraint from 88 to 89 and re-solving the linear programming problem. The new optimal solution we get is:

Number of servings of Wimpy = 54

Number of servings of Dial 911 = 15

Maximum profit = $32.48

The new solution confirms the answer to part (c) since the shadow price for special sauce was $0.10, and the profit has increased by $0.22 with an additional ounce of special sauce.

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What value of m would make parallelogram WXYZ asquare?2m + 4m+6 what is the point estimator for the proportion of registered voters expressed concern about a loosening of restrictions? b. determine the margin of error for this poll assuming a confidence level of 95% Check The Attachments For The Question!!! Find x round to the nearest whole number True, or false?Partly due to the Plessy v. Ferguson case, the U.S.had to battle years of segregation in schools, movie theaters, restaurants, and otherpublic places. which of the following is direct labor? group of answer choices the labor of an author to write a book the labor of the president of the printing company the labor of the sales staff used to help sell the book the labor of the it people who keep the computer systems running in the germline cell below there are two pairs of chromosomes on which are shown the locations of two different genes. f and f represent two different alleles of one gene, and q and q represent two different alleles of another gene. if this cell divides normally to produce sperm, what are the possible sperm genotypes? g 5) The total cost of a laptop computer after tax is $1278.24. The local sales tax rate is 7.6%. What isthe pretax cost of the laptop? Hint: Write out the formula that will produce this 7.6%, thenrearrange. Question 6 of 10When making a winter coat, you should pick a fabric that has whichcharacteristic?A. HeavyweightOB. WarmC. Resistant to wearD. All of the above steve, i know that you've never been in a serious accident, but do you still drive your car like a madman? "If your primary goal is to build strength and increase muscle mass, you could____increase the amount of aerobic activityexpand the number of anaerobic activities per weekcomplete workout sets of high repetitions and low weight (example: 3 sets of 20 repetitions with 5lb or less) Balance the following equations structures that have different mature forms but develop from the same embryonic tissue are called PLEASE THIS IS REALLY ARGENTTwo simultaneous equations are given below, where p and q are constants.3x-py = 44x-3y + q = 0The solution to these equations is x = 1, y = 2.Find the value of p and q. Who declined their 1973 Oscar? Dont really understand. Algebra 1 class In a case-control study which examined the association between mobile phone use and acoustic neuroma, 24 cases of acoustic neuroma and 72 hospital controls were recruited from the Ear Nose Throat (ENT) department of a medical college. History of mobile phone use (>6 hours/day) was ascertained using a standard questionnaire. Exposure was present among 16 cases and 18 controls. Calculate the measure of association. A) Odds ratio - 1. 5 b) Relative risk - 1. 5 c) Odds ratio - 6 d) Relative risk - 6 Give an example of a worker whose pay may include tips . the principle that to be perceived as different two stimuli must differ by a constant minimum percentage rather than a constant amount is called: state the next terms in the sequence of number 8, 4, 2, 1 -1/2