Compute the opportunity cost in forgone consumer goods for each additional unit of military output produced using the table below

a) To maximize its net savings, the company should use the new machine for 7 years.  b) The net savings during the first year of use of the machine are $405 (rounded off to the nearest dollar).  c) The net savings over the period determined in part a are $1,833.33 (rounded off to the nearest cent).

Step-by-step explanation: a) To determine for how many years should the company use the new machine to maximize its net savings, we need to find the value of x that maximizes the difference between the savings and the costs.To do this, we need to first calculate the net savings, N(x), which is given by:S'(x) - C'(x) = 175 - x² - (x² + 11x) = -2x² - 11x + 175To find the maximum value of N(x), we need to find the critical values, which are the values of x that make N'(x) = 0:N'(x) = -4x - 11 = 0 ⇒ x = -11/4The critical value x = -11/4 is not a valid solution because x represents the number of years of operation of the machine, which cannot be negative. (i.e., not use it at all).However, this answer does not make sense because the company would not introduce a new machine that it does not intend to use. Therefore, we need to examine the concavity of N(x) to see if there is a local maximum in the feasible interval.

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Answer:

1/15

Step-by-step explanation:

1/5 divided by 3

=1/5 times 1/3

=  1 × 1

 -------

 5 × 3

= 1/15

Answer:

The answer is 1/10

Step-by-step explanation:

1/5 divided by 2

1/5 times 1/2

1 x 1 = 1

5 x 2 = 10

1/10

Answer:

1/2c

Step-by-step explanation:

A breakfast chef used different amounts of ill when

making pancakes, depending on the number of panes ordered. The results are shown below.

1/2c, 1/4c, 1/2c, 3/4c, 1/2c, 3/4c, 1/2c, 1/4c, 1/2c, 1/2c

What is the average amount of milk used for an order of pancakes?

Average amount of milk used for an order of pancakes = {1/2c + 1/4c + 1/2c + 3/4c + 1/2c + 3/4c + 1/2c + 1/4c + 1/2c + 1/2c} ÷ 10

= {6(1/2c) + 2(1/4c) + 2(3/4c)} ÷ 10

= {6/2c + 2/4c + 6/4c} ÷ 10

= {3c + 1/2c + 3/2c} ÷ 10

= {(6+1+3) / 2}c ÷ 10

= 10/2c ÷ 10

= 5c ÷ 10

= 5/10c

= 1/2c

The average amount of milk used for an order of pancakes = 1/2c

Answer:

There right there u don't see it?

Answer:

2 and 3/4 cups

Step-by-step explanation:

because if a quarter cup is used in 1 gallon than one cup is used in two gallons. this than trasferes up to the ratio of 2/8, which means two cups cleaner and 8 gallons water for 10 gallons it would be 2 and a half cups and for 10and 1/2 gallon it would be 2 and 3/4 cups

Answer:

1633.52 cm^3

Step-by-step explanation:

first I find that the length of the side nearest to the 45 degree mark, it being  approximately 8 square roots of 2

next  i find that the diameter is equal to this height, when i put it through my calculations, so this is the radius of the cone.

the final answer is approximately 1633.52 cm^3

Answer:

\( \frac{1}{3} \pi {( \frac{8}{ \sqrt{2} } )}^{2} ( \frac{16}{ \sqrt{2} } ) = \frac{1}{3} \pi(32)(8 \sqrt{2} ) = 379.13\)

\( \frac{1}{3} (3.14)(32)(8 \sqrt{2} ) = 378.93\)

Since we need to use 3.14 for π, the volume of this cone is about 378.93 cm^3.

Probability of an event is its chance of . The probability that a student not liking mountains doesn't like beach is: Option b: 40.4%

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

\(P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}}\)

Where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For the given case, from the table (image attached below), we can see that, there are total 94 students who do not like mountains. Now, out of those 94, there are 38 students not liking beach.

Thus, if A = a student not liking beach

B = not liking mountains,

Then ,

P(A|B) = P(A ∩ B)/P(B) = \(\dfrac{38/158}{94/158} = \dfrac{38}{94} \approx 0.404 = 40.4\%\)

Thus, probability of a student not liking beach given that that student doesn't like mountains is 40.4% approx.

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Answer:

40.4%

Step-by-step explanation:

Answer:

298

Step-by-step explanation:

The ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x.

The correct option is A: (-2, 2).

To determine which ordered pairs satisfy both inequalities y < -x + 1 and y > x, we need to check each pair's coordinates in both inequalities.

Let's test each ordered pair:

A: (-2, 2)

For y < -x + 1: 2 < -(-2) + 1 → 2 < 3 (True)

For y > x: 2 > -2 → 2 > -2 (True)

B: (1, 1)

For y < -x + 1: 1 < -(1) + 1 → 1 < 0 (False)

For y > x: 1 > 1 → 1 > 1 (False)

C: (0, 0)

For y < -x + 1: 0 < -(0) + 1 → 0 < 1 (True)

For y > x: 0 > 0 → 0 > 0 (False)

D: (-1, -1)

For y < -x + 1: -1 < -(-1) + 1 → -1 < 2 (True)

For y > x: -1 > -1 → -1 > -1 (False)

From the above calculations, we can see that only the ordered pair (-2, 2) satisfies both inequalities y < -x + 1 and y > x. Therefore, the correct answer is option A: (-2, 2).

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The complete question:

Which ordered pairs make both inequalities y < -x + 1 and y > x true?

A: (2, 2)

B: (1, 1)

C: (0,0)

D: (-1, -1)

Answer:

-f(-x)

Step-by-step explanation:

We need to reflect this across both the x and y axis

which means that we need it to look kind of like this -f(-x)  

According to the question, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.

To estimate the percentage of people affected by the outbreak, we can use the following formula:

\(\[\text{Percentage} = \left(\frac{\text{Affected}}{\text{Total population}}\right) \times 100\]\)

Given that the number of affected people is 224,000 and the total population is 260,000,000, we can substitute these values into the formula:

\(\[\text{Percentage} = \left(\frac{224,000}{260,000,000}\right) \times 100\]\)

Calculating this expression, we find:

\(\[\text{Percentage} \approx 0.086 \%\]\)

Therefore, the best estimate for the percentage of people who were affected by the outbreak is approximately 0.086%.

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THhe cross product is found by multiplying the numerator (top number) of one fraction by the denominator (bottom number) of the other fraction.

1/4 = 5/20

1 x 20 = 20

4 x 5 = 20

The cross product is 20

Answer:

20

Step-by-step explanation:

1 x 20 = 20

4 x 5 = 20

Hope that helps!

The area of the shape for the quilt block is approximately 189 square inches.

To find the area of the shape, we'll need to first find the area of the right triangle formed by the two sides that form a right angle, and then add that to the area of the parallelogram formed by the base and the side parallel to it.

The area of a right triangle can be found by multiplying the base by the height and dividing by 2, so the area of the right triangle with a base of 6 inches and height of 7.5 inches is:

(6 x 7.5) / 2 = 22.5 square inches

The area of a parallelogram is found by multiplying the base by the height, so the area of the parallelogram with a base of 16 inches and a height of 6.4 inches (6 and two fifths inches) is:

16 x 6.4 = 102.4 square inches

Adding the area of the triangle and parallelogram gives us the total area of the shape:

22.5 + 102.4 = 124.9 square inches

So, the area of the shape for the quilt block is approximately 189 square inches.

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Answer: C

Step-by-step explanation:

I got it correct on the test

Answer:

B is the answer

Step-by-step explanation:

Is that all the questions you need help with

Answer:

-3

Step-by-step explanation:

you can divide the second term by the first term to solve

39/-13 = -3

then,  I like to check that this fits with the third term

39*-3 = -117

so the common ratio is -3

I will win about $ 59.

This is a question of permutations and combinations.

We know that,

Probability of getting two non face cards = \(\frac{^{40}C_2}{{^{52}C_2}}\) = 10/17

Probability of not getting two non face cards = 1 - (10/17) = 7/17

Hence, we can write,

Money I will get = (7/17)*50*20 =  $ 411.764

Money I'll have to pay = (10/17)*30*20 = $ 352.94

We know that,

Money left with me = Money I will get - Money I'll have to pay

Hence, we can write,

Money left with me =   $ 411.764 - $ 352.94

Money left with me =  58.824 ≈ $ 59

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Answer:

x = 16

Step-by-step explanation:

(2x+13)° = (3x-3)° [vertically opposite angles]

2x + 13 = 3x - 3

2x - 3x = -3 - 13

        -x = -16

      ∴ x = 16

The system of Linear equations is; y = 7x + 3(6 - x) and the solution is;

7 scores from touchdowns

15 scores from field goals

Total score of 22

Let the number of touchdowns be x

Let the total of the home team points be y

Thus, the number of field goals = 6 - x since the team scores 6 times.

Thus, since the home team points are from 7 point touchdowns and 3 point field goals, then it means we have the equation;

y = 7x + 3(6 - x)

where;

7x is scores from touchdowns

3(6 - x) is scores from field goals

Thus;

y = 7x + 18 - 3x

y = 4x + 18

Let's try x = 1 and we have;

7(x) = 7(1) = 7 scores from touchdowns

3(6 - 1) = 15 scores from field goals

y = 4(1) + 18

y = 22

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The annual effective rate is 15.87%.

The annual effective rate can be calculated using the following formula:

(1 + i)^n - 1

where

i is the quarterly interest rate and

n is the number of quarters in a year. In this case, we have

i=0.15 and

n=4. Therefore, the annual effective rate is

(1 + 0.15)^4 - 1 = 15.87%

The quarterly interest rate is 15%. This means that if you invest $100, you will have $115 at the end of the quarter. If you compound the interest quarterly for 60 quarters, you will have $D_a = $296.78 at the end of 60 quarters. The annual effective rate is the rate that would give you $296.78 if you invested $100 at a simple annual interest rate.

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Answer:

y = 5x + 2

Step-by-step explanation:

slope is 5

x = 1

y = 7  

Use this to find b for the new equation

y = mx + b

7 = (5)(1) + b

7 = 5 + b   Subtract 5 from both sides

2 = b

y = mx + b

y = 5x + 2

Answer: unit of account

Step-by-step explanation:

I learned this in Macro Chapter 34.

Answer:

y = \(\frac{5}{4} x - 7\)

Step-by-step explanation:

Step 1: Add -5x to both sides.

5x − 4y + −5x = 28 + −5x

−4y = −5x + 28

Step 2: Divide both sides by -4.

\(\frac{-4y}{-4} =\frac{-5x +28}{-4}\)

y = \(\frac{5}{4}x -7\)

Answer:

y=-  -5/4x-7 go to question 7

Step-by-step explanation:

y=-  (-5x+28)

         4

then simplify if you need more steps i will show

The inverse of the function is y = ( 1/5 )x - 6.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Consider the function,

y = 5x + 30

To find the inverse of the function we interchange x and y then find the equation for y.

Therefore, after interchanging x and y:

x = 5y + 30

Subtracting 30 from each side of the equation.

x - 30 = 5y + 30 - 30

x - 30 = 5y

Now, dividing the whole equation by 5

( x - 30 ) / 5 = 5y / 5

y = ( 1/5 )x - 30/ 5

y = ( 1/5 )x - 6

Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.

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Answer:

Step-by-step explanation:

i dont know what ur asking but

9/12 > 2/3

Please post the full question by replying to my answer

(maybe you can like it so that I'll know you have updated the question)

Answer:

Are we supposed to solve for x?

Step-by-step explanation:

If that is what you need then I will be able to answer it