Given the function f(x)=(3^x)-1, explain how to find the average rate of change between x =2 and x = 5

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

Learn more on total cost on https://brainly.com/question/29802410

#SPJ1

Answer:

√99 is irrational

Step-by-step explanation:

Answer:Irrational

Step-by-step explanation:

bc khan

Answer:

Jupiter :)

Step-by-step explanation:

Exponential, triangular, Weibull, beta, Erlang, gamma, and lognormal distributions are often referred to as continuous theoretical distributions.

In most simulations, a queue is important for keeping an entity when it cannot move.

Exponential, triangular, Weibull, beta, Erlang, gamma, and lognormal distributions are all examples of continuous theoretical distributions. These distributions are used to model random variables that take on continuous values, such as time, length, or volume. They are characterized by probability density functions that describe the likelihood of different values occurring within a given range.

In simulation modeling, a queue is an important construct used to manage entities or objects that need to wait or be processed in a specific order. When an entity cannot move or proceed further in the simulation, it is typically placed in a queue until the conditions allow it to progress. Queues are commonly used in various simulation scenarios, such as modeling service systems, production lines, or network traffic.

Global variables and attributes are generally used to store and manage data within a simulation, but they do not specifically address the concept of keeping an entity when it cannot move. Resources, on the other hand, are entities that are required or consumed by other entities in the simulation, such as equipment or personnel, but they do not directly handle the situation of entities being unable to move.

Learn more about lognormal distributions here:

brainly.com/question/33377847

#SPJ11

In exercise 10(b) of Chapter 10, Section 5, the question asks whether it is possible to cross all the bridges shown in a given map exactly once and return to the starting point.

This problem is known as the "Seven Bridges of Königsberg" puzzle, famously solved by Leonhard Euler in the 18th century. The solution involves applying graph theory principles to analyze the connectivity and degree of the bridges. The Seven Bridges of Königsberg problem is a well-known mathematical puzzle that involves a network of bridges and islands. The goal is to determine whether it is possible to cross each bridge exactly once and return to the starting point. This problem was originally posed by the Swiss mathematician Leonhard Euler in 1736 and played a significant role in the development of graph theory.

To solve this problem, we can represent the bridges and islands as a graph. Each island is represented as a vertex, and each bridge is represented as an edge connecting two vertices. By analyzing the connectivity and degree of the vertices in the graph, we can determine whether a solution exists.

In the given map, we would analyze the graph formed by the bridges and islands. If each island has an even degree (an even number of bridges connected to it), then it is possible to find a path that crosses each bridge exactly once and returns to the starting point. This can be proved using Euler's theorem, which states that in a connected graph, if the number of vertices with an odd degree is either 0 or 2, then there exists an Eulerian path or an Eulerian circuit respectively. However, if any island has an odd degree, it is not possible to find a path that satisfies the conditions of crossing each bridge exactly once and returning to the starting point.

Without further information or a specific map, it is not possible to determine the exact solution to exercise 10(b) in Chapter 10, Section 5. The solution would require analyzing the connectivity and degree of the bridges and islands in the given map and applying graph theory principles to determine the possibility of crossing all the bridges exactly once and returning to the starting point.

Learn more about vertex here:-  brainly.com/question/32432204

#SPJ11

Answer:

answer:

f(320)= how much Dereck pays for phone service if he calls  320 minutes.

F(320)=0.11(320)+43=35.2+43=78.2

Answer: the value of f(320) is $78.2 and it will be the cost of phone service for 320 minutes of international calls.  

Step-by-step explanation:

The derivative of the function y = \(tan^{-1}\) √[(1 - x)/(1 + x)] is given by

y' = -1/[(1 + x)²× √[(1 - x)/(1 + x)]].

To find the derivative, we use the chain rule. The derivative of the outermost function, arctan, is

1/[1 + (√[(1 - x)/(1 + x)])²], and the derivative of the innermost function, the square root, is

-1/2×(1 - x)/[\((1+x)^{3/2}\))]. Multiplying these two derivatives together gives us the final result.

1/[1 + (√[(1 - x)/(1 + x)])²]×-1/2×(1 - x)/[\((1+x)^{3/2}\))]

=-1/[(1 + x)²× √[(1 - x)/(1 + x)]].

When we take the derivative of a function, we are essentially finding the slope of the tangent line of a function at a given point. This derivative will tell us the rate at which y changes with respect to x. The derivative of the function y = \(tan^{-1}\) √[(1 - x)/(1 + x)] is a negative value, which means that as x increases, y decreases. Therefore, this function has a negative slope.

Learn more about tan function:

https://brainly.com/question/29117880

#SPJ4

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

To know more about quantity here

https://brainly.com/question/14581760

#SPJ4

Answer:

AB

Step-by-step explanation:

the hypotenuse is always the longest side in a triangle

The total length of the strips will be 6L. Then the total length of the ribbon should have been 6L + 6/8.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Shayla cuts six ribbon pieces to create hair bows. She completes it, only to discover that each strip is 1/8 inch too short.

Let L be the length of the strips of ribbon. Then the total length of the strips will be

⇒ 6L

The total length of the ribbon should have been

⇒ 6(L + 1/8)

⇒ 6L + 6/8

The total length of the ribbon should have been 6L + 6/8.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ1

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;

Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴

Given the cash flows;

Year 0: $0

Year 1: $600

Year 2: $500

Year 3: $400

Then the Future value of uneven cash flow

= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³

= $600/1.11 + $500/1.23 + $400/1.36

=$540.54 + $405.28 + $293.00

=$1,238.82

Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.

To know more about discount rate visit:

https://brainly.com/question/13660799
#SPJ11

Answer:

y= 2x + 3

Step-by-step explanation:

To have a parallel line they need to have the same slope.

Then you need to plot the point (2,7).

A slope of 2x means that it goes up 2 y values for every x value it goes up by. So to find the y-intercept, you need to go down 2 x values. Meaning you need to subtract 4 y values. (0,3).

y= (slope) + y-intercept

Answer:

y = 2x + 3

Step-by-step explanation:

1. Approach

The line y = 2x -1 is written in slope-intercept form, essentially; y = mx + b, where "m" is the slope, and "b" is the y-intercept. If two lines are parallel, then they both have the same slope. So one simply has to substitute in a point on the line to find out what the y-intercept is, and assemble the equation.

2. Slope

As mentioned above, two parallel lines have the same slope. Hence the slope of the line that one is trying to find the equations of is 2.

3. y-intercpet

Substitute in the point that is given, and solve for the y-intercept.

y = mx + b

y = 2x + b

7 = 2(2) + b

7 = 4 + b

3 = b

4. Assembling what one knows

The equation of the line is;

y = 2x + 3

Were 2 is the slope, and 3 is the y-intercept.

Answer:

3x - 2

Step-by-step explanation:

Divide 2 from all terms within the parenthesis:

(6x - 4)/2

6x/2 = 3x

-4/2 = -2

3x - 2 is your answer.

~

Answer:

You are correct!!

It would be (-infinity, infinity) :)

Answer:

52,81,8,926 anything that is not a decimal, fraction,or negative number

Step-by-step explanation:

Rolling a 5 on one die and rolling a 5 on a second die and Choosing a cookie from the cookie jar and choosing a jack from a deck of cards are the independent events.

What is independent events?

Winning a hockey game and scoring a goal is dependent because if we score a goal then only we can win the game.

Hence, Rolling a 5 on one die and rolling a 5 on a second die and Choosing a cookie from the cookie jar and choosing a jack from a deck of cards are the independent events.

To know more about independent events check the below link:

https://brainly.com/question/22881926

#SPJ1

Polygons are shapes that have the following:

-sides are all straight

-no overlapping

-shape is always closed

Hope this helps :)

The probability of selecting two jacks from a standard deck of cards without replacement is 1/221, or 0.0045.

The probability of selecting two jacks from a standard deck of cards without replacement is 1/221, or 0.0045. This is because there are 52 cards in a standard deck, and there are 4 jacks. Therefore, the probability of selecting one jack is 4/52, or 1/13. When selecting without replacement, the probability of selecting the second jack is 3/51, since one of the jacks has already been chosen. Multiplying the two probabilities together gives us the probability of selecting two jacks without replacement: 4/52 x 3/51 = 12/2652 = 1/221. This means that the probability of selecting two jacks from a standard deck of cards without replacement is 1/221, or 0.0045. This is a very low probability, which means that it is unlikely that two jacks will be chosen in a single selection.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

What do u mean??

Step-by-step explanation:

Step-by-step explanation:

Can you write the questions carefully that we can understand

it is becase he  is just a happy dog

Answer: $167.86

Step-by-step explanation:

Assuming the rate is an annual rate. Convert it to a monthly rate:

= 9% / 12

= 0.75%

Use compound interest formula to find out the total owed:

= Amount * ( 1 + rate) ^ period

= 561.60 * ( 1 + 0.75%)³⁵

= $729.46

Interest = Total owed - cost of loan

= 729.46 - 561.60

= $167.86

Answer:

x = 56

y = 68

Step-by-step explanation:

Please mark as brain list

a)We can use the Binomial probability distribution to compute the probability of X successes, using the binomial formula. We are given:

n = 6, X = 3, p = 0.03.

The binomial probability distribution formula is:

P(X = k) = (n C k) * p^k * (1-p)^(n-k)

Where k is the number of successes, n is the total number of trials, p is the probability of success, and (n C k) is the number of combinations of n things taken k at a time.

Substituting the given values in the above formula, we get:

P(X = 3) = (6 C 3) * 0.03^3 * (1-0.03)^(6-3)

P(X = 3) = (20) * (0.000027) * (0.970299)

P(X = 3) = 0.000052965

Therefore, the probability of 3 successes is 0.000052965.b)We are given: n = 4, X = 2, p = 0.18.

The binomial probability distribution formula is:

P(X = k) = (n C k) * p^k * (1-p)^(n-k)

Substituting the given values in the above formula, we get:

P(X = 2) = (4 C 2) * 0.18^2 * (1-0.18)^(4-2)P(X = 2) = (6) * (0.0324) * (0.6724)P(X = 2) = 0.0137936

Therefore, the probability of 2 successes is 0.0137936.

To know more about Binomial probability distribution visit :

https://brainly.com/question/15902935

#SPJ11

The length of the rectangle is 7 cm and the width is 5 cm.

The whole distance covered by the rectangle's borders or its sides is known as its perimeter. As we know the rectangle will have 4 sides then the perimeter of the rectangle will be equal to the total of its four sides. And the unit will be in meters, centimeters, inches, feet, etc.        

The formula for the Perimeter of the rectangle is given by

Here we have

The length of a rectangle is 2cm greater than the width of the rectangle

And perimeter of the rectangle = 24 cm

Let x be the width of the rectangle

From the given data,

Length of the rectangle = (x + 2) cm  

As we know Perimeter of rectangle = 2(Length+width)

=> Perimeter of rectangle = 2(x+2 + x) = 2(2x +2)

From the given data,

Perimeter of rectangle =  24cm

=> 2(2x +2) = 24 cm

=> (2x +2) = 12     [ Divided by 2 into both sides ]

=>  2x = 12 - 2

=>  2x = 10

=>   x = 5         [ divided by 2 into both sides ]  

Length of rectangle, (x+2) = 5 + 2 = 7 cm

Therefore,

The length of the rectangle is 7 cm and the width is 5 cm.

Learn more about Perimeter of a rectangle at

https://brainly.com/question/29595517

#SPJ4

An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.

The solution is 21.

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;

7n + 16 = 163

7n = 163 - 16

7n = 147

n = 147/7

n = 21.

Read more on equation here: brainly.com/question/18912929

#SPJ4

1 gram is equivalent to \(350(0.002205)=\boxed{0.77175} \text{ lb}\)lb.

So, 350 grams is equivalent to

The points A(2, -1, 4), B(3, 1, 2), C(0, 5, 6), and D(-1, 3, 8) form a parallelogram. The area of the given parallelogram is 12 square units.  It is not a rectangle.

To verify if the given points form a parallelogram, we need to check if both pairs of opposite sides are parallel.

The vectors formed by the sides AB and CD are AB = (1, 2, -2) and CD = (-1, -2, 2). The vectors formed by the sides BC and AD are BC = (-3, 4, -4) and AD = (-3, 4, -4).

Comparing these vectors, we can see that AB and CD are parallel, as are BC and AD. This indicates that the given points A, B, C, and D form a parallelogram.

To find the area of the parallelogram, we can use the cross product of the vectors AB and AD (or BC and CD) to find the area of the corresponding parallelogram. The magnitude of the cross product of AB and AD is |AB × AD| = 12.

Since the area of a parallelogram is equal to the magnitude of the cross product of its adjacent sides, the area of the given parallelogram is 12 square units.

To determine if the parallelogram is a rectangle, we can check if any of its angles are right angles. However, since the given points do not have any indication of angles, we cannot determine if the parallelogram is a rectangle based on the information provided.

Learn more about a Parallelogram here: brainly.com/question/32033686

#SPJ11