Select the interval where h(x)>0 {where h of x is greater than 0}
Option1. -3.5 Option2. -2 Option3. 2.5

The marginal cost of producing one more unit of the product when x = 100 is $150 per unit. To find the instantaneous rate of change (or the marginal cost) of c with respect to x when x = 100, we need to calculate the derivative of the cost function c(x) with respect to x and evaluate it at x = 100.

Let's assume that we have the cost function c(x) = 0.5x^2 + 50x + 1000, where x is the number of units produced. To find the derivative of this function, we need to use the power rule of differentiation, which states that if f(x) = x^n, then f'(x) = nx^(n-1). Applying this rule to our cost function, we get:

c'(x) = d/dx (0.5x^2 + 50x + 1000)
     = 1x^(2-1) + 50x^(1-1) + 0
     = x + 50

Now, we can evaluate this derivative at x = 100 to find the marginal cost:

c'(100) = 100 + 50
       = 150

Therefore, the marginal cost of producing one more unit of the product when x = 100 is $150 per unit. This means that if the company produces one more unit of the product, it will cost them $150 more than the cost of producing the previous unit. The significance of the marginal cost will be explained in a future chapter, but for now, it is important to understand that it is a crucial concept in economics and business decision-making.

Learn more about marginal cost here:

brainly.com/question/30529566

#SPJ11

A real person becomes a hero when he becomes selfless, a genuinely good person, and who gets the undivided attention of all of us which can cause a change.

The Hero is defined as a person who is admired for the great acts, fine qualities, and have courage and ability.

A real person becomes a hero when he tirelessly and effortlessly devotes himself for the well-being of everyone around him . A hero puts his  happiness on the line to make sure that others are happy.

The requirements for the real person to become a hero are  Bravery , Self-sacrifice and Selflessness .

Therefore , the person needs to be Brave, Selfless and a good person to become a Hero .

Learn more about Hero here

https://brainly.com/question/11998392

#SPJ4

Answer:

Step-by-step explanation:

\(area = \frac{1}{2} \times base \times height \\ 16 {cm}^{2} = \frac{1}{2} \times 2x \times x \\ 16 {cm}^{2} = \frac{2 {x}^{2} }{2} \\ \\ 16 {cm}^{2} \times 2 = 2 {x}^{2} \\ 32 {cm}^{2} = 2 {x}^{2} \\ \frac{32 {cm}^{2} }{2} = {x}^{2} \\ 16 {cm}^{2} = {x}^{2} \\ \sqrt{16 {cm}^{2} } = \sqrt{ {x}^{2} } \\ 4cm = x \\ \)

The greatest number of large pizzas that can be made with the leftover dough is 93.

To determine the greatest number of large pizzas that can be made after lunch with the leftover dough, we first need to calculate the total amount of dough used during lunch.

For small pizzas:

The shop makes 33 small pizzas, and each requires 4 ounces of dough.

Total dough used for small pizzas = 33 pizzas × 4 ounces/pizza = 132 ounces.

For large pizzas:

The shop makes 14 large pizzas, and each requires 4 ounces of dough.

Total dough used for large pizzas = 14 pizzas × 4 ounces/pizza = 56 ounces.

Now, let's calculate the total dough used during lunch:

Total dough used = Total dough used for small pizzas + Total dough used for large pizzas

Total dough used = 132 ounces + 56 ounces = 188 ounces.

Since there are 16 ounces in a pound, we can convert the total dough used to pounds:

Total dough used in pounds = 188 ounces / 16 ounces/pound = 11.75 pounds.

Therefore, the total amount of dough used during lunch is 11.75 pounds.

To find the leftover dough after lunch, we subtract the amount used from the initial amount of dough:

Leftover dough = Initial dough - Total dough used during lunch

Leftover dough = 35 pounds - 11.75 pounds = 23.25 pounds.

Now, we can calculate the maximum number of large pizzas that can be made with the leftover dough:

Number of large pizzas = Leftover dough / Amount of dough per large pizza

Number of large pizzas = 23.25 pounds / 4 ounces/pizza

Number of large pizzas = (23.25 pounds) / (1/4) pounds/pizza

Number of large pizzas = 23.25 pounds × 4 pizzas/pound

Number of large pizzas = 93 pizzas.

Therefore, the greatest number of large pizzas that can be made with the leftover dough is 93.

for such more question on greatest number

https://brainly.com/question/11583754

#SPJ8

a. The economic order quantity (EOQ) is approximately 312 bags.

b. The average number of bags on hand (cycle inventory) is 156 bags.

c. There will be approximately 16 orders per year if EOQ is used.

d. The total annual cost of ordering and holding flour for EOQ is $9,360.

e. The EOQ would increase by 100% if the ordering cost were to increase by 50%.

To calculate the economic order quantity (EOQ) and answer the related questions, we'll follow the given information step by step:

a. Determine the economic order quantity (EOQ):

EOQ is calculated using the following formula:

EOQ = √((2DS) / H)

Where:

D = Annual demand (number of bags)

S = Ordering cost per order

H = Holding cost per bag

Given:

Annual demand (D) = 4,860 bags

Ordering cost per order (S) = $10

Holding cost per bag (H) = $5

Plugging in these values into the formula:

EOQ = √((2 * 4,860 * 10) / 5)

= √(97,200)

= 312 bags (approximately)

So, 312 bags or so are the economic order quantity (EOQ).

b. Average number of bags on hand (average cycle inventory) if EOQ is used:

The average cycle inventory is half of the EOQ.

Average cycle inventory = EOQ / 2

Average cycle inventory = 312 / 2

Average cycle inventory = 156 bags

c. Number of orders per year if EOQ is used:

The number of orders per year is calculated by dividing the annual demand by the economic order quantity (EOQ).

Number of orders = Annual demand / EOQ

Number of orders = 4,860 / 312

Number of orders = 15.57 (approximately)

Thus, if EOQ is employed, there will be roughly 16 orders each year.

d. Total annual cost of ordering and holding flour for EOQ:

The total annual cost consists of both the ordering cost and the holding cost.

Total annual cost = (D / EOQ) * S + (EOQ / 2) * H

Plugging in the values:

Total annual cost = (4,860 / 312) * 10 + (312 / 2) * 5

Total annual cost = 156 + 780

Total annual cost = $9360

Consequently, $9360 is the total annual expense for ordering and storing flour for EOQ.

e. If ordering cost were to increase by 50 percent per order, the percentage change in EOQ can be calculated using the formula:

Percentage change in EOQ = (Percentage change in ordering cost) / (Percentage change in ordering cost + Percentage change in holding cost) * 100

Given:

Percentage change in ordering cost = 50%

Percentage change in holding cost = 0% (as it remains the same)

Plugging in the values:

Percentage change in EOQ = (50%) / (50% + 0%) * 100

Percentage change in EOQ = 100%

As a result, the EOQ would increase by 100% if the ordering cost increased by 50% each order.

for such more question on average

https://brainly.com/question/23377525

#SPJ8

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ1

Answer:

yo that a hard question i honeslty dont know

Step-by-step explanation:

Answer:

1. )0.35

2. )1.15

3.)0.5 (5 repeating's)

4.)2.72

Step-by-step explanation:

7 divide  20=0.35

-23 divide 20=1.15

-60 divide 22 = 2.727272 but it is 2.72

The gambler's payoff has a standard deviation of $1. The gambler can expect to win or lose $1 on average for each coin flip, and there is a high degree of variability in the possible outcomes of the game.

The standard deviation of the gambler's payoff can be calculated using the following formula:

σ = √(Σ(xi - μ)^2 * P(xi))

where σ is the standard deviation, xi is the possible outcome of the game, μ is the expected value of the game, and P(xi) is the probability of each outcome.

In this case, there are two possible outcomes: winning $1 with probability 1/2 and losing $1 with probability 1/2. The expected value of the game is:

μ = (1/2 * $1) + (1/2 * -$1) = $0

To calculate the standard deviation, we need to determine the variance first. The variance can be calculated as:

σ^2 = Σ(xi - μ)^2 * P(xi)

= (1 - 0)^2 * 1/2 + (-1 - 0)^2 * 1/2

= 1

Therefore, the standard deviation is:

σ = √1 = 1

To learn more about click standard deviation on,

https://brainly.com/question/13720915

#SPJ4

Answer: 540 in^2

Step-by-step explanation: Find each area of each shape, then add them up to find the surface area of the triangular prism. The rectangle on the top would be 13 x 16 = 208 in^2. The rectangle in the middle would be 12 x 16 = 192 in^2. The triangles would add up to 60 in^2 since (12 x 5)/2 x 2 is 60. The rectangle on the bottom would be 5 x 16 = 80 in^2.

On solving the provided question, we can say that The maximum rank of a matrix is 2 and The maximum rank is min (5,2)=2.

A matrix is a set of numbers arranged in rows and columns. learns about the elements and dimensions of matrices and introduces them for the first time. A rectangular grid of numbers in rows and columns is known as a matrix. Matrix A, as an illustration, has two rows and three columns. Its single row and 1 n row matrix order are the reasons behind its name. A = [1 2 4 5] is a row matrix of order 1 by 4, for instance. P = [-4 -21 -17] of order 1-by-cubic is another illustration of a row matrix.

The maximum rank of a matrix is 2.

The maximum rank is min (5,2)=2.

Option c with the biggest rank is min(m,n).

To know more about matrix visit:

https://brainly.com/question/29995229

#SPJ4

Answer:

Step-by-step explanation:

Given right angle XOV and 30° angle XOW, you want to know the measure of angle WOV. You also want to find the measure of angle YOZ, which is opposite angle VOW, where XOY is a right angle, and WOZ is a straight angle.

The angle addition theorem tells you that ...

  ∠XOW +∠WOV = ∠XOV

Angle XOV is given as a right angle, and angle XOW is shown as 30°, so we have ...

  30° +∠WOV = 90°

  ∠WOV = 60° . . . . . . . . . subtract 30° from both sides

Angle WOV is 60° using the angle addition theorem.

Rays OY and OV are opposite rays, as are rays OZ and OW. This means angles YOZ and VOW are vertical angles, hence congruent.

  ∠YOZ = ∠WOV = 60°

Angle YOZ is 60° using the congruence of vertical angles.

As in part 2, angle WOZ is a straight angle, so measures 180°. The angle addition theorem tells you this is the sum of its parts:

  ∠ZOY +∠YOX +∠XOW = ∠ZOW

  ∠ZOY +90° +30° = 180°

  ∠ZOY = 60° . . . . . . . . . . . . . subtract 120° from both sides

Angle YOZ is 60° using the measure of a straight angle.

<95141404393>

\(2 - 3csc(x) > 8 \\ 2 - \frac{3}{sin(x)} > 8 \\ - 6 > \frac{3}{sin(x)} \\ - 2 > \frac{1}{sin(x)} \\ \frac{ - 1}{2} < sin(x) \: \: or \: \: \: sin(x) > \frac{ - 1}{2} \\ \\ \)

\(sin( \frac{ - \pi}{6} ) = \frac{ - 1}{2} \)

\(x \: in \: \: [0, \frac{7\pi}{6}[U] \frac{11 \pi }{6} ,2\pi] + 2k\pi\)

Answer:

D. pi<x<7pi/6 and 11pi/6<x<2

Step-by-step explanation:

Took the test and this is the correct answer

Answer:

A.-9

Step-by-step explanation:

Since P(A or B) is equal to P(A) + P(B), it means that events A and B are mutually exclusive.

To determine if events A and B are mutually exclusive, we need to check if they can both occur at the same time or not.

If events A and B are mutually exclusive, it means that they cannot occur simultaneously. This can be determined by comparing their probabilities.

If P(A or B) = P(A) + P(B), then events A and B are mutually exclusive.

If P(A or B) is greater than P(A) + P(B), then events A and B are not mutually exclusive.

Given the information:

P(A) = 3/10^4 (0.0003)

P(A or B) = P(B) = 19/40 (0.475)

We can compare these probabilities:

P(A or B) = 0.475

P(A) + P(B) = 0.0003 + 0.475 = 0.4753

Since P(A or B) is equal to P(A) + P(B), it means that events A and B are mutually exclusive.

Learn more about probability at https://brainly.com/question/13604758

#SPJ1

Answer:

6.75×10^5

Step-by-step explanation:

that's the answerrr

Answer:

6.75x10^5

Step-by-step explanation:

The vector space that has exactly one basis is the trivial vector space, which is the vector space containing only the zero vector.

A basis for a vector space is a set of linearly independent vectors that span the entire space. In a non-trivial vector space (a space that contains more than just the zero vector), there are infinitely many possible bases. This is because any set of linearly independent vectors that span the space can be used as a basis.

However, in the trivial vector space, there is only one vector (the zero vector), and it is linearly independent of itself. Therefore, the trivial vector space has exactly one basis, which is the set containing only the zero vector. Any other set of vectors in the trivial vector space is linearly dependent, and therefore cannot be used as a basis.

Find out more about trivial vector space,

brainly.com/question/14375935

#SPJ4

Find out more about vector spaces

brainly.com/question/14375935

#SPJ4

Observations are the collection of measurements made for a specific element. Observations are typically collected from a sample of data, which are then used to measure particular variables. This information is then used to make inferences about a larger population, often referred to as a census.

A set of measurements collected for a particular element is called observations. Observations are typically generated from a sample of data which is then used to measure particular variables. Variables are measurable characteristics which can be observed and measured. For example, a variable can be a person’s age, height, or gender. The data collected from these variables are then used to make inferences about a larger population, such as a census. A census is a complete count of a population, which may be used to measure the characteristics of a population or to make estimates about a population. Observation data is used to make inferences about a larger population and is used to make decisions or draw conclusions about a particular element. This data is often used in research, policy making, and decision-making.

Learn more about measurement here

https://brainly.com/question/4725561

#SPJ4

The probability that there will be less than two days between manufacturing production line outages is approximately 0.553, or 55.3%.

We need to make some assumptions in order to calculate the probability that the time intervals between manufacturing production line breakdowns will be shorter than two days. Assume that the intervals between breakdowns have an exponential distribution with a mean of 3.5 days (1/2 times per week).

The probability that an interarrival time is fewer than two days can be calculated using the exponential distribution formula as follows:

P(X < 2) = 1 - e(-2/3.5)

where "X" stands for the duration in between breakdowns.

When we condense the expression, we get:

P(X < 2) = 0.553

Therefore, The probability that there will be less than two days between manufacturing production line outages is approximately 0.553, or 55.3%.

To learn more about exponential distribution, visit the link below:

https://brainly.com/question/20714221

#SPJ4

Answer:

1/2

Step-by-step explanation:

turn 2/7 into 4/14 then subtract that from 11/14 and you get 7/14 and the also can go as 1/2

The area of the larger figure that is similar to the smaller one is: 28.2 m².

Where A and B represent the areas of two similar figures, and a and b are their corresponding side lengths, respectively, the formula that relates their areas and side lengths is:

Area of figure A / Area of figure B = a²/b².

Given that the two figures are similar as shown in the image above, find each of their respective side lengths if we are given the following:

Perimeter of smaller figure = 20 m

Area of smaller figure = 19.6 m²

Perimeter of larger figure = 34m

Area of larger figure = x

Therefore:

20/34 = a/b

Simplify:

10/17 = a/b.

Find the area (x) of the larger figure using the formula given above:

10²/12² = 19.6/x

100/144 = 19.6/x

100x = 2,822.4

x = 2,822.4/100

x ≈ 28.2 m²

Learn more about area of similar figures on:

https://brainly.com/question/17132861

#SPJ1

Answer:

48 + 30m

Step-by-step explanation:

The perimeter of a hexagon is 6 times its side length.

6(8 + 5m)

= 48 + 30m (Distributive property)

Answer:  The x intercepts are -1 and -5  or  (-1,0)   and ( -5,0)

Step-by-step explanation:

Finding the x intercepts of  a parabola is the same as finding the roots of a parabola because the x intercept is when y or g(x) is equal to zero. So set the equation equal zero.

\(-x^{2} -6x -5 = 0\)          First  divide each term by 0 to get the largest degree coefficient to equal 0.

x^2 + 6x +5 = 0         Now find two numbers that their product is 5 and their sum is 6.  The numbers 5 and 1 works out because the 5 times 1 is 5 and 5 plus 1 is 6.

Rewrite the whole equation as

x^2 + 1x+5x +5 = 0     Now factor the left side by grouping

x(x+1) 5(x+1) = 0         Factor out x+1

(x+1) (x+5) = 0       Now use the zero product by setting each of them equal zero.

x+ 1 = 0    or    x+5 = 0

    -1    -1               -5  -5

x = -1      or  x = -5

The equation used to solve this problem is x + y + z = 100000,  0.04x + 0.06y + 0.08z = 6700 and y = z

An equation is an expression showing the relationship between two or more numbers and variables.

Let x represent the amount of money invested at 4% (short term), y represent the amount of money invested at 6% (intermediate term) and z represent the amount of money invested at 8% (long term)

Since an investor has $100,000 to invest, hence:

x + y + z = 100000    (1)

Also, the investor wishes to have a return of $6700, hence:

0.04x + 0.06y + 0.08z = 6700   (2)

Equal amounts invested in intermediate and long term bonds. This gives:

y = z     (3)

The third equation used to solve this problem is y = z

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

The radius of the cylinder is about 7.4 inches, and the height is 3 inches longer, or about 10.4 inches.

What is the volume of the cylinder?

If 'r' is the radius of the cylinder and 'h' is the height of the cylinder then the volume of the cylinder can be computed as

Volume = V = πr²h

Let's start by assigning variables to the information given in the problem:

Let r be the radius of the cylinder.

The height of the cylinder is 3 inches longer than the radius, so the height can be represented as h = r + 3.

The volume of the cylinder is given as 628 cubic inches, so we can use the formula for the volume of a cylinder to create an equation:

V = πr²h = 628

Now we can substitute h = r + 3 and π = 3.14 into the equation:

V = πr²h = 3.14r²(r + 3) = 628

Simplifying this expression, we can distribute the  \(r^2\) term:

\(3.14r^2(r + 3) = 3.14r^3 + 9.42r^2\)

Now we can set this equal to 628 and solve for r:

\(3.14r^3 + 9.42r^2 - 628 = 0\)

solving this, we get

r = 7.4 inches

and height = 10.4 inches,

Therefore, the radius of the cylinder is about 7.4 inches, and the height is 3 inches longer, or about 10.4 inches.

To learn more about the volume of the cylinder, visit:

https://brainly.com/question/9554871

#SPJ1

The true statements are:

The lines are given as:

Lines mn, pq, mp, mn, nq and pq

From the question, the lines are either parallel lines or perpendicular lines

As a general rule,

Parallel lines have equal slope

This means that:

Lines mn and pq have the same slope

Assume two perpendicular lines have slopes m and n.

The relationship between their slopes is:

m * n = -1

This means that:

The product of the slopes of perpendicular lines mn and mp is -1

Hence, the true statements are (a) and (c)

Read more about parallel and perpendicular lines at:

https://brainly.com/question/7197064

#SPJ1

Complete question

Line mn is parallel to line pq, mp is perpendicular to mn, and nq is perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer.

Pptions:

Answer:

Step-by-step explanation:

Yummy delicious anime characters,

their are 365 days in a year

365*5=1825 anime charcters in a year

Answer:

1825 yummy anime characters

Step-by-step explanation:

The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz

To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.

By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.

know more about descriptive statistics :brainly.com/question/30764358

#SPJ11