If C(x) is the cost of producing x units of a commodity, then the average cost per unit is a(x) = C(x)/x. Consider the C(x) given below. Round your answers to the nearest cent. C(x) = 2,000 + 140x + 4x3/2 (a) Find the total cost at a production level of 1000 units. $ 1 (b) Find the average cost at a production level of 1000 units. 2 dollars per unit (c) Find the marginal cost at a production level of 1000 units. 3 dollars per unit (d) Find the production level that will minimize the average cost. 4 units (e) What is the minimum average cost? 5 dollars per unit

Answer:

Los pasos para calcular la raíz cuadrada entera y su residuo o resta se dará en la explicación;

Step-by-step explanation:

-60: Para saber exactamente cuál es su raíz cuadrada entera debemos buscar entre que cuadrados perfectos se encuentra comprendida este valor;

Tenemos que 7x7=49  y 8x8 = 64 (60 está comprendido entre  7 y 8) ,pero como la raíz de 49 se aproxima más a 60 entonces la raíz de 60 es 7 y su residuo o resta será el valor que falta para llegar a 60; así que tenemos:

\(\sqrt{60}\)=7  ; residuo:  60-49 =11

-86:    9x9 =81 ;81 se aproxima más a 86 ,entonces la raíz cuadrada entera de 86 es 9 y su residuo es 5:

\(\sqrt{86}\)=9;  residuo : 86-81= 5

-96:   9x9=81 ;  81 por tanteo se aproxima más a 91,entonces la raíz cuadrada  entera de 96 es 9 y su residuo es 15.

\(\sqrt{96\)= 9x9 =81 ; residuo :  96-81= 15.

Solution

\(y=27\)

Step-by-step explanation:

Subtract \(15\) from both sides of the equation:

\(42=y+15\)

\(42\)\(-15=y+15\)\(-15\)

Simplify:

\(42-15=y+15-15\)

\(27=y+15-15\)

\(27=y+15\)\(-15\)

\(27=y\)

\(27=y\)

\(y=27\)

\(y=27\)

The measure of the angle the minute hand traces in 36 minutes is 3.77 radians

From the question, we are to determine the measure of the angle the minute hand traces in 36 minutes

The minute hand makes a complete rotation after 60 minutes.

Thus,

The angle the minute hand would have traced in 36 minutes is

36/60 × 360°

= 12960/60

= 216°

Now, convert to radians

216° = 216 × π/180 rad

= 3.77 rad

Hence, the measure of the angle the minute hand traces in 36 minutes is 3.77 radians

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The numerical probability of Flora picking out a blue sock is 1 out of 6, or approximately 0.1667, or 16.67%.

To calculate the numerical probability of Flora picking out a blue sock, we need to consider the total number of socks and the number of blue socks in the drawer.

Given:

Total number of socks = 12

Number of red socks = 9

Number of blue socks = 2

Number of green socks = 1

The probability of Flora picking a blue sock can be calculated as the ratio of the number of blue socks to the total number of socks:

Probability of picking a blue sock = Number of blue socks / Total number of socks

Probability of picking a blue sock = 2 / 12

Simplifying the fraction, we get:

Probability of picking a blue sock = 1 / 6

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Answer:

40 degrees

Step-by-step explanation:

The slope field shown in the question is that of a differential equation of the form y'= f(x,y).

The solutions of this equation are the curves in the slope field that emanate from each point and that have the same slope as the line at that point. Thus, for each point (x,y) in the slope field, it is possible to calculate the particular solution that passes through that point.

The first statement is false because it involves the second derivative of the particular solution, which cannot be determined from the slope field. The second statement is false because a concave up graph requires that the derivative of the solution be increasing at x=0, but the slope field does not indicate the sign of the derivative of the particular solution. The third statement is false because a concave up graph requires that the derivative of the solution be decreasing at x=-1, which cannot be determined from the slope field. The fourth statement is false because a concave down graph requires that the derivative of the solution be increasing at x=0, which cannot be determined from the slope field.

In summary, none of the statements can be determined to be true or false from the slope field shown.

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The area of the rectangle is 10 square yards,the length is 15 feet and the width is 6 feet and the area of the rectangle in square feet is 90 square feet.

(a) The area of the rectangle is calculated by multiplying the length by the width:

Area = 5 yards * 2 yards = 10 square yards

(b) To convert the dimensions from yards to feet, we can use the conversion ratio of 3 feet to 1 yard.

Length in feet = 5 yards * 3 feet/yard = 15 feet

Width in feet = 2 yards * 3 feet/yard = 6 feet

Therefore, the length is 15 feet and the width is 6 feet.

(c) The area of the rectangle in square feet is calculated by multiplying the length in feet by the width in feet:

Area = 15 feet * 6 feet = 90 square feet

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The probable question may be:

Area=5 yards * 2 yards

(a) What is the AREA in square yards?

(b) Convert both length and with into units of feet instead of yards. Recall the ratio of feet to yards is 3 to 1. LENGTH:

feet WIDTH:

square yards

feet

(c) What is the AREA of the rectangle in square feet?

The degree of a monomial is the power of the variable in the monomial

The degree of a monomial is defined as the highest power of the variable term in the monomial

As a general rule, a monomial has only one term

An instance of a monomial is

ax^n

Using the definition above, the degree of the monomial is n

Simlarly, the degree of x^2 is 2

This is because 2 is the power of the variable term

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Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

In plan A,

    Plans for saving = $500

  Amount of saving each week = $20

∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)

                                                                       = 25

In plan B,

    Plans for saving = $500

   Amount of saving each week = $30

∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)

                                                                       = 17

In plan C,

    Plans for saving = $500

   Amount of saving each week = $40

∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)

                                                                       = 13

In plan D,

    Plans for saving = $500

   Amount of saving each week = $50

∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)

                                                                       = 10

So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

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Answer:

AZ = 12.80

Step-by-step explanation:

There are 2 triangles in the square XARS. Squares are always congruent, all sides are the same. Given that WT is 6, we can assume that RS is also 6 (because of congruency). RA is is the hypotenuse of the triangle ARS. To find AS, we can plug in the pythagorean theorem 6^2+x=^2=10^2. We end up getting square root of 64 which simplifies to 8. AS is now 8. We also know that ST is 6 since the square WRST has all congruent sides. 8+6=14 gives us line AT. TZ is 8 due to triangle XAR and the congruency theorem. Now we plug in pythagorean theorem to find AZ and we get 8^2+10^2=x^2. After simplifying the square root of 164, we see that AZ is equal to 12.80

Answer:

12.80

Step-by-step explanation:

SO IT IS 12.80 BECAUSE IT IS 12.80. SIMLIFY TO 12.8 SO YEAH!!

HOPE YOU UNDERSTAND.

Answer: 1. 64 | 2. 32

Step-by-step explanation:

Formula for a rectangle is Area = Length*Width

Therefore: 8*8 = 64

Formula for a triangle is Area = 1/2*Base*Height, which is also 1/2*length*width

Therefore: 1/2*8*8 = 32

Hope this helps :)

Answer:

Myrna's Farms

Step-by-step explanation:

Fouster's Farms has 5^3 = 5 x 5 x 5 = 125 fruit trees

Myrna's Farms has 5x times this many trees = 5 x 125 = 625

commercial farm has 500 fruit trees

So Myrna's Farms has the most trees = 625

If the jobs are sequenced according to the SLACK rule, Job A would be completed on day 12.

The SLACK rule involves calculating the slack time for each job, which is the difference between the due date and the completion time. The job with the least slack time is prioritized and scheduled first. In this case, the due dates for the jobs are as follows: Job A (12), Job B (15), Job C (17), Job D (10), and Job E (8).

Job A has a processing time of 8 days and a due date of 12, so the slack time is 12 - 8 = 4 days. Since Job A has the least slack time among all the jobs, it would be completed on day 12. Therefore, the answer is D. 12.

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Answer:

About 5 days (exact answer is 4.975)

Step-by-step explanation:

Take 1990 and divide by 400, it should give you the amount of days.

Answer: 34 units

Step-by-step explanation:

I took the test

Answer:

1:1:1

Step-by-step explanation:

The ratio of orange to black to green cars is 1:1:1.

Answer:   73 degrees

=======================================================

Explanation:

We're given that segment AC bisects angle BAD.

This means the angle has been split into two equal parts.

Angle CAD = angle BAC = 30

So,

angle BAD = (angleCAD)+(angleBAC) = 30+30 = 60 degrees

Let's find angle ABD. I'll use the fact that the three interior angles of a triangle always add to 180. This idea will be used a few times in this solution.

(angeBDA)+(angleBAD)+(angleABD) = 180

(34)+(60)+(angleABD) = 180

94+angleABD = 180

angleABD = 180-94

angleABD = 86

-----------------------------

We're also given that segment BE bisects angle ABD, which means:

angleABE = angleEBD = 86/2 = 43

We'll use angle ABE and angle BAD to determine angle AEB.

(angeABE)+(angleBAD)+(angleAEB) = 180

(43)+(60)+(angleAEB) = 180

103+(angleAEB) = 180

angleAEB = 180-103

angleAEB = 77

This is the same as angle AEF.

-----------------------------

Now focus your attention on triangle EFA.

(angeAEF)+(angleFAE)+(angleEFA) = 180

(77)+(30)+(angleEFA) = 180

107+(angleEFA) = 180

angleEFA = 180-107

angleEFA = 73

Notice how angle EFA and angle BFC are vertical angles. Therefore, they are congruent and we can say angle BFC = 73

Answer:

  m∠BFC = 73°

Step-by-step explanation:

Given the angles and bisectors in the figure, you want the measure of angle BFC.

AC bisects angle BAD, so angle BAC is the same as angle CAD, 30°.

The sum of angles BAD and ADB is 60° +34° = 94°, so the measure of angle ABD is ...

  ∠ABD = 180° -94° = 86°

BE bisects angle ABD, so the measure of angle  ABE is 86°/2 = 43°.

An exterior angle of a triangle is equal to the sum of the remote interior angles.

The angle of interest, ∠BFC, is an exterior angle to triangle AFB, so is the sum of angles FAB and FBA.

  ∠BFC = 30° +43°

  ∠BFC = 73°

There are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

In this problem, we want to find the number of ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

Since every man must be diametrically opposite a woman, we can pair each man with one woman. There are 5 men and 9 women, so there are 5 pairs. We need to find the number of ways to seat these 5 pairs of people in a circle.

To do this, we can first seat one pair in any position. Then, we can seat the second pair anywhere but opposite the first pair. This gives us 11 positions for the second pair. Continuing in this way, we see that there are 11 * 6 * 5 * 4 * 3 = 7920 ways to seat the 5 pairs of people in a circle.

So, there are 7920 ways to seat 14 people in a circle such that every man is diametrically opposite a woman.

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Assuming 14 people, 5 men and 9 women, how many ways can they sit in a circle such that every man is diametrically opposite a woman?

Answer:

10.39

Step-by-step explanation:

Answer:

-7,-5,0 and 4 is from the least to the greatest.

Answer:

-5,-7,0,4

Step-by-step explanation:

-5

-7

0

4

Answer:

Step-by-step explanation:

y = 12x

12x = y

x = y/12

The null hypothesis (H0) is an assumption or statement that is assumed to be true or valid in statistics unless there is sufficient evidence to suggest otherwise.

Based on the provided output, we can draw the following conclusions:

1. Summary statistics for math scores in 8th grade (ACHMAT08) and 12th grade (ACHMAT12):

2. Summary statistics for the difference in math scores between 8th and 12th grade (diff):

3. One-sample t-test:

4. One-sample t-test (alternative: greater):

Based on these conclusions, there is no significant evidence to suggest that students, on average, improve their math scores from 8th to 12th grade. The mean difference in math scores is close to zero, indicating little overall improvement.

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Answer:

Its an example  Unit rate becuase theres the #1 in it and its constant

Step-by-step explanation:

A rate is more like a ratio of 2 different number

3:6

or

9:18

When these are simplified you’ll get 1 in one of the 2 numbers but then it would be a unit rate

Rate= no #1

Unit rate= Defined as a number 1

Answer:

Rate of change = 2 & Initial value = -1

Answer:

a

Step-by-step explanation:

step 1:

for x is less than -5 the f(x) = -3

step 2:

for x is greater than or equal to -5 and less than or equal to 15, f(x)=x+2 and since x contains the value of 15 the Value of x=15 results in f(x)=x+2 15+2=17.

step 3

for x is greater than 15, f(x)= -x+2.

only exists in the graph a.

Answer: a

Step-by-step explanation:

Developers determine the specifics of how to build a system in the design phase. b

The design phase and its importance:
Define Objectives:

The design phase begins after the completion of the analysis phase, where developers have gathered and evaluated requirements.

The main objective of the design phase is to create a blueprint for the system that addresses all identified requirements.
Create Architectural Design:

During this step, developers establish the overall structure of the system, including its components, their relationships, and the interactions between them.

This architectural design provides a high-level view of the system's organization.
Design System Components:

With the architectural design in place, developers focus on designing individual components or modules of the system. They create detailed specifications, which include the functionality, inputs, outputs, and processes for each component.
Design User Interface:

The user interface design involves creating a user-friendly and efficient way for end-users to interact with the system. This can include designing screen layouts, menus, buttons, and other interface elements.
Validate Design:

The final step in the design phase is to ensure that the proposed design meets all the requirements identified during the analysis phase.

Developers may use various methods, such as reviews and simulations, to validate their design before proceeding to the implementation phase.
The design phase is a crucial part of the system development process, as it defines how the system will be built, ensuring it meets the needs of its users and the project's objectives.

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