Find f(0) and f(6)

f(x)= x^2+10x+72/x^2-12x+36

Answer: A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)

a) Formulate this problem in terms of an objective function and constraint(s).

b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.

c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2

d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?

e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?

Step-by-step explanation: A small city gets its water supply from three sources: two wells and a small upland reservoir. The well supplies require pumping, and so are more expensive. Reservoir water flows directly to the town by gravity. The town needs a total of 20 mgd (million gallons per day) of water. The cost of water is zero if obtained from the reservoir, $60/million gallons if from Well-field 1, and $30/million gallons if from Well-field 2. The reservoir can deliver 9 mgd; Well-field 1 has a capacity of 25 mgd, and Well-field 2 has a capacity of 3 mgd. (Hint: use the Lagrange multipliers for the last three questions. You can check your answers using Excel solver)

a) Formulate this problem in terms of an objective function and constraint(s).

b) Solve the problem by hand using the Lagrange Multipliers, and find the minimum total cost combination of flows from each source, and minimum total cost.

c) How much, annually, should the city be willing to pay to expand the capacity of the reservoir, Well-field 1, and Well-field 2

d) If the city decided to conserve water and the demand decreased from 20 to 19.5 mgd, how much would the city benefit from this conservation?

e) If you had a chance to expand the capacity of reservoir, Well-field 1, or Well-field 2 reservoir, Well-field 1, and Well-field 2 What would be the new cost? which one(y) would you prefer to increase, why?

Answer:

d+13=4 is wrong it would be divede because it says put one in each napkin so it is being divided

Step-by-step explanation: 13/d

Answer:  11

Step-by-step explanation:The given expression is:

=

=

=

Substituting the value of b=-2 in above expression, we get

=

=

=

Thus, the value of the given expression is -11.

Answer:

I think 9 if im not correct i sincerely apologize

The reason that best supports statement 5 in the given proof is Substitution.

A number system is defined as a system of writing to express numbers.

In the given question -

The first reason is given in the question itself.

The second reason is given by congruency.

The third reason is again given in the question.

The fourth reason is also given.

Finally, in the fifth reason, we can conclude that it is substitution because by the second reason m of ∠A is congruent to m of ∠B. So, if we remember the substitution we can assign the value of m∠A to the value of m∠B because both are congruent by the second reason.

Therefore, the reason that best supports statement 5 in the given proof is Substitution.

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Answer:

6.12

Step-by-step explanation:

Six is 6

Twelve-hundredths is .12

6 + .12 = 6.12

Given the value of the standard deviation of  population, if the critical value is 0.65, the Margin of error will be 0.65.

Margin of error simply shows how many percentage points a results will differ from the real population value.

It can be expressed as;

Margin of error = Critical value × Standard deviation

Given that;

Margin of error = Critical value × Standard deviation

Lets take critical value to be 0.05

Hence,

Margin of error = 0.05 × 13

Margin of error = 0.65

Therefore, given the value of the standard deviation of  population, if the critical value is 0.65, the Margin of error will be 0.65.

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Answer:

i......dont........know.... :)

Step-by-step explanation:

yup

Answer:

[tex] {280m}^{3} [/tex]

Answer:

D. 280 m³

Step-by-step explanation:

The formula for the volume of a cuboid is length × width × height

v = 20 m × 7 m × 2 m = 280 m³

Answer:

Step-by-step explanation:

= 45+ 15

=60

Answer:

The answer would be A

Step-by-step explanation:

If you were to divide 36 by 5 you would be finding how many calories are in 1/5 of a bar.

Answer:

The distance between A and B is 8.5 after rounded to the nearest tenth

Step-by-step explanation:

The formula you always use for distance between points is as pictured.

Point A is (-6, 4), this is x1 and y1

Point B is (2, 1), this is x2 and y2

(2-[-6])^2 + (1-4)^2

since 2 negatives make a positive, 2 - -6 = 8

1 - 4 = -3

This makes 8 squared and -3 squared

8x8 = 64

-3x-3 = 9

64 + 9 = 73

the square root of 73 = 8.544003745

After rounding to the nearest tenth, it is 8.5

I hope this helps you! Good luck :)

The magnitude of the vector to two decimal places is 11.40 units

The formula for calculating the magnitude of the vector is expressed as:

[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2 }[/tex]

Given the coordinate points  (-3, 4) and (6, -3)

[tex]D=\sqrt{(-3-4)^2+(6+3)^2 }\\D=\sqrt{(-7)^2+9^2}\\D=\sqrt{49+81}\\D=\sqrt{130}\\D= 11.40[/tex]

Hence the magnitude of the vector to two decimal places is 11.40 units

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The satay in of a line is written as y = slope(x) + y intercept.

In the given equation the y-intercept is -1

Answer:

Correct

Step-by-step explanation:

This is correct because if you divide fourteen by one fourth the answer would be fifty-six teddy bears.

Answer:

8. B

9. D

Step-by-step explanation:

I think this is right if I'm not mistaken ..

9514 1404 393

Explanation:

Newton's second law relates force, mass, and acceleration. For the same acceleration, more force is required to change the motion of more mass.

(a) Any fitness routine where velocity changes are involved will be impacted by Newton's second law. A significantly overweight person would have to expend significantly more energy to achieve the same changes of motion in the same period of time.

(b) Any fitness routine in which changes of speed or direction at a specific rate are not required will not be impacted by Newton's second law. These might be Tai Chi routines, weight lifting, or any other routines in which speed of completing a cycle of motion is not a factor.

Step-by-step explanation:

z-score of X = 6150

[tex] \frac{6150 - 6250}{250} = - 0.4 \\[/tex]

z-score of X = 6350

[tex] \frac{6350 - 6250}{250} = - 0.4[/tex]

P(X<6150) + P(X>6350)

=P(z<-0.4) + P(z>-0.4)

=0.3446+0.3446

=0.6892

Answer:

0÷3= 0

0/5= 0

Step-by-step explanation:

sorry if I did it wrong

Answer:

92%

Step-by-step explanation:

Answer:

1 inch

Step-by-step explanation:

Equation:

2/9.4 = x/4.7

9.4 = 9.4x

x = 1

-Chetan K

Answer:

$1,440

Step-by-step explanation:

Given:

Borrowed amount by west company from valley bank = $48,000

Interest is paid annually = 9% per year

Time period = From 1st September to 31st December

                    = 4 months

The note issued by West carried an 18-month term.

Therefore,

Interest expense = Principal amount × Rate × Time period

                            = $48,000 × 9% × (4 ÷ 12)

                            = $48,000 × 0.09 × (1 ÷ 3)

                             = $1,440

Therefore, the amount of interest expense that will be reported on West's income statement for Year 1 is $1,440.

13.5 teeth in five years

Answer:

17

Step-by-step explanation:

the unknown number needs to be a number that is associated with the minimum and maximum numbers. 17 is four times the minimum number plus 1 and 17 is four times the amount of. 17 to equate to 68.

1/8 -> 0.125

25% -> 0.25

0.02 -> 0.02

0.1 -> 0.10

least -> greatest

Haley, 0.02 -> Diego, 0.1 -> Rishi, 1/8 -> Monique, 25%

Arranging the persons from least to greatest

Haley < Diego < Rishi < Monique

A number expressed as a quotient, in which a numerator is divided by a denominator.

Given:

Rishi paints = 1/8 = 0.125

Monique paints = 0.250

Haley paints = 0.020

Diego paints = 0.100

Now, arranging the persons from least to greatest

Haley < Diego < Rishi < Monique

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Answer:

Step-by-step explanation:

9 gallons + 7 gallons = 16 gallons

1 qt + 2qt = 3 qts

Total = 16 gallons and 3 qts.

Answer:

98.2

Step-by-step explanation:

100 x 0.982 = 98.2

98.2 / 100 = 0.982