Pls help
, I really need an answer for this rn

Pls Help, I Really Need An Answer For This Rn

Answers

Answer 1

Answer:  34.00 and 2.10

Step-by-step explanation:


Related Questions

3) A class of 168 students went on a field
trip. They took 6 vehicles, some vans and
some buses. Find the number of vans and
the number of buses they took if each van
holds 6 students and each bus hold 50
students.

Answers

Answer:

They took 3 vans and 3 buses.

Step-by-step explanation:

Given:

The number of students in the class = 168The number of vans and buses = 6The number of students each van can hold = 6The number of students each bus can hold = 5  

To find:

The number of vans and the number of buses they took.

Explanation:

Let the number of vans = v

Let the number of buses = b

The total number of vans and buses is 6:

[tex]v+b=6[/tex]

⇒[tex]v=6-b....[/tex]Equation(1)

Each van holds 6 students and each bus hold 50 students.

The number of students on the trip is 168.

[tex]6v+50b=168[/tex]....Equation(2)

Substitute equation (1) into equation (2):

[tex]6v+50b=168[/tex]

[tex]6(6-b)+50b=168[/tex]

Then solve the equation for b:

[tex]36-6b+50b=168[/tex]

[tex]44b=168-36[/tex]

[tex]44b=132[/tex]

[tex]\frac{44b}{44}=\frac{132}{44}[/tex]

[tex]b=3[/tex]

Then, solve for v:

[tex]v=6-b=6-3=3[/tex]

Answer:

They took 3 vans and 3 buses.

What is the average rate of change of the function f(x)=2(3)xfrom x = 2 to x = 4?.

Answers

The average rate of change of the function f(x)=2(3)x from x = 2 to x = 4   =  72

How do functions work?

The term "function" refers to the relationship between a collection of inputs and outputs with one each. Simply described, a function is an association of inputs where each input is coupled with exactly one output. Every function has an associated domain, codomain, or range. The most common way to represent a function is as f(x), where x represents the input.

To calculate the average rate of change, use the slope formula:

y2−y1/x2−x1=m

f(4)−f(2)/4−2=m

Finding the values of f(4) and f(2) will help us to simplify this.

f(4)=2(3)4=2(81)=162

f(2)=2(3)2=2(9)=18

m=162−18/2

m=144/2

m=72

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Find the distance from line L to point P for each of the following: Line L contains points (-5,3) and (4,-6). Point P(2,4)

Answers

Answer and explanation in one:

(4+9)/(-2-1) = 13/-3 = -13/3

y=-13x/3 + b

4=26/3 + b

b = 4-26/3 = (12-26)/3 = -14/3

y=-13x/3 -14/3 is the line through the two given points

find the line perpendicular and through (14,-6)

y=3x/13 + b, plug in the point to find b

-6 = 3(14)/13 + b

b = -6 -42/13 = -78/13 - 42/13 = -120/3

y= 3x/13 - 120/13

find the intersection point of the two lines, set them equal

3x/13 -120/13 = -13x/3 - 14/3

multiply by 39

9x - 360 = -169x - 182

178x = 360-182 = 178

x = 1

y= -27/3=-9

the point is (1,-9)

calculate the distance from (1,-9) to (14,-6)

d^2 = 9+169 = 178

d = sqr178 = about 13.34

State whether the following statement is true and explain why or why not: A trinomial is always a higher degree than a monomial. Give an example proving your answer is correct.
Grading: 2 points: Correct Answer; 2 points: Explanation; 1 point: Example

Answers

The given statement that a trinomial is always a higher degree than a monomial is false because greater number of terms does not means higher degree.

A monomial is an algebraic expression with only one term. Or we can say that the representation of a single concept is a monomial.

An example of an unary expression is: 12

A trinomial is an algebraic expression containing three terms. An example of a ternary is: x + y + 7

A trinomial is always of higher degree than a monomial is false statement .

A counterexample can be used to explain why this is wrong. Suppose we have a monomial, 8⁵ and then a trinomial x² + 2x + 3 . This is just a random example. This monomial has a higher degree because 5 is greater than 2. So basically it doesn't matter what the monomial is, if the degree is higher it is just a term than the maximum degree of the trinomial. Just because this has three terms does not mean that the highest degree term is greater than his one term in the monomial.

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Given the equation |x+10|=15
, x= 5 is one solution. What is the other solution?

Answers

Answer:

x = - 25

Step-by-step explanation:

the absolute value function always gives a positive value , however , the expression inside the bars can be positive or negative, that is

| - a | = | a | =a

given

| x + 10 | = 15 , then

x + 10 = 15 ( subtract 10 from both sides )

x = 5

OR

-(x + 10) = 15

- x - 10 = 15 ( add 10 to both sides )

- x = 25 ( multiply both sides by - 1 )

x = - 25

solutions are x = 5 , x = - 25

Answer: -25

Step-by-step explanation:

A double recipe of cookies calls for 5 cups of flour.

Which of the following proportions could be used to find the amount of flour for a triple recipe?

3/2 = 5/f
5/2= f/3
2/3 = f/5
2/5 = f/3

Answers

Answer:

You could divide 5 in half and then add that to the five to find the amount of flour to use in a triple recipe. Hope this helps.

Step-by-step explanation:

can someone please help me?

Answers

The value of x in the given function, f(x) = 3/2x - 4 when f(x) = 5, is x = 6

Determining the value of x in a function

From the question, we are to determine the value of x in the given function for the given value of f(x).

The given function is

f(x) = 3/2x - 4

and

f(x) = 5

Now, to determine the value of x, put f(x) = 5 in the given function

f(x) = 3/2x - 4

5 = 3/2x - 4

Add 4 to both sides of the equation

5 + 4 = 3/2x - 4 + 4

9 = 3/2x

Multiply both sides by 2

2 × 9 = 2 × 3/2x

18 = 3x

Divide both sides by 3

18/3 = 3x/3

6 = x

Therefore,

x = 6

Hence, the value of x is 6

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two poles are connected by a wire that is also connected to the ground. the first pole is 30 ft tall and the second pole is 15 ft tall. there is a distance of 45 ft between the two poles. where should the wire be anchored to the ground (in ft, from the shorter pole) to minimize the amount of wire needed?

Answers

At 30 ft the wire is anchored to the ground (in ft, from the shorter pole) to minimize the amount of wire needed.

What is the quadratic equation?

Any equation in algebra that can be written in standard form as where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation. In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.

Let x (ft) be the distance from the base of the left pole to the anchor point. Since 2 poles has a distance of 45 ft, the distance from the anchor point to the right pole is 45 - x

The wire length from the top of the left pole to the anchor point is

[tex]L^{2} _l = 30^{2} + x^{2}[/tex]

= x² + 900

Similarly for the 2nd part of the wire

[tex]L^{2} _r = 15^{2} + (45-x)^{2}[/tex]

= 256 + 2025 - 45x + x²

= x² + 2281 - 45x

We want to minimize the length of the wires, or [tex]L_l + L_r[/tex]

√x² + 900 + √ x² + 2281 - 45x

we can take the first derivative of this and set it to 0

[tex]\frac{x}{\sqrt{ x^2 + 900} } + \frac{45 - x}{\sqrt{x^2 + 2281 - 45x} } = 0[/tex]

x = 30

Hence, at 30 ft the wire is anchored to the ground (in ft, from the shorter pole) to minimize the amount of wire needed.

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At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident. a) What is the probability that you will have to deal with no more than 4 incidents of identity theft in the next year (52 weeks)? b) When you have had 12 more incidents of identity theft, your company will send a detective to investigate. What are the expected value and variance of the time (in weeks) until a detective is sent to investigate? c) Use normal approximation to find the probability that the detective will be sent within 2 years.

Answers

Answer: At a small savings and loan company, you have to deal with your customers being victims of identity theft. This happens unpredictably to one of your customers once every 9 weeks; and no incident seems to have any connection to any other incident.

Step-by-step explanation:

Danni placed $5700 in a savings account which compounds interest continuously at a rate of 2. 1%. How much will she have in the account after 4 years? round your answer to the nearest whole number. Do not include a $ in your answer.

Answers

Using the compound interest method, we can calculate that Danni will have $6,194.09 in her account after 4 years.

What is compound interest?

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Compound interest works by periodically adding collected interest to your main, which is the sum you first deposited into the savings account so that interest can then be earned on both.

In essence, your interest begins to generate interest of its own.

Compound interest formula: [tex]A=P\left(1+\frac{r}{100}\right)^{n t}[/tex]

Now, calculate the amount Danni will have after 4 years:

[tex]A=P\left(1+\frac{r}{100}\right)^{n t}[/tex]

A = 5700(1+0.021)⁴

A = 5700(1.0210⁴

A = $6,194.09

Therefore, using the compound interest method, we can calculate that Danni will have $6,194.09 in her account after 4 years.

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Answer:

A=6199.48

Step-by-step explanation:

Use the formula for calculating compound interest A=P0ert where A is the unknown, P0=5700, r=0.021, and t=4. Substitute the values into the formula and simplify.

A=5700e0.021⋅4

A=5700e0.084

A=5700(1.0876...)

A=6199.48

The amount in the account after four years is A≈6199, to the nearest dollar.

Francisco is building a window seat below a bay window in the shape of an isosceles trapezoid. His blueprint for the window seat is shown below.






What is the area of the window seat?

Answers

Answer:

56

Step-by-step explanation:

Olivia has has read 40 pages of a 70 page book, 60 pages of an 85 page book, and 43 pages. What is the percentage f pages that Olivia has not read?

Answers

Answer:

Below

Step-by-step explanation:

Total pages read = 40 + 60 +43  = 143 pages read

  Total pages of all of the books  = 70 + 85 + x  

       percentage READ =   (143) / ( 70 + 85 + x)  * 100% =  ???  

            percentage NOT read = 100 - ???

              (since 'x' was not given in the question post)

Read pages:

40+60+43=143

All pages:

70+85+43=198

198-143=55

55/198=0,2778

0,2778×100%=27.78%

Find the indicated side of the
right triangle.
30°
X
60°
3

Answers

Answer:

6

Explanation:

x = 3 /cos(60) = 6

Graph the equation.
y = x

Answers

Answer:

Slope: 1

__________

y-intercept: (0,0)

Step-by-step explanation:

Your mom would want you to think for yourself

Zoe goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 5% is applied to the bill. Zoe decides to leave a tip of 15% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Zoe paid.

Answers

The expression in terms of x that represents the total amount that Zoe paid is 1.2075x.

What is an expression that represents the total amount that Zoe paid?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

From the information, Zoe goes to a restaurant and the subtotal on the bill was x dollars. A tax of 5% is applied to the bill and Zoe decides to leave a tip of 15% on the entire bill.

The expression will be:

= x + (5% × x) + (15% × 1.05x)

= x + 0.05x + 0.1575x

= 1.2075x

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Terry has a goal of making $300 in commission for the week. If her commission is based on 18% of sales how much does she need to sell to make her goal? I need an answer ASAP pls

Answers

The amount of sales Terry must make is $1667

How to determine the amount in sales?

From the question, we have the following parameters that can be used in our computation:

Commission = 18% of sales

Commission = $300

These parameters mean that

Commission = 18% of sales

Substitute the known values in the above equation, so, we have the following representation

18% of sales = 300

Divide both sides by 18%

Sales = 1667

Hence, the amount is $1667

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a tower that is 106 feet tall casts a shadow 135 feet long. find the angle of elevation of the sun to the nearest degree.

Answers

The angle of elevation of the sun is [tex]tan^{-1}[/tex](106/ 135).

The angle of elevation:

The angle is formed by the line of sight and the horizontal plane for an object above the horizontal.

Here we have to find the angle of elevation of the sun.

Data given:

length of the tower = 106 feet

shadow form by the tower = 135 feet

The formula for the angle of elevation = height/base

tanФ = height/base

        = 106/ 135

Ф = [tex]tan^{-1}[/tex](106/135)

Therefore the angle of elevation is [tex]tan^{-1}[/tex]( 106/ 135).

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The equation of a line is 2y = 8x + 10
find the SLOPE of a line that is
a) parallel to the line
b) perpendicular to the line
c) neither parallel or perpendicular

Answers

The answer is b, it’s perpendicular to the line.
The answer will be b


An initial population of 20 fish is introduced into a lake. This fish population grows according to a continuous exponential growth model. There are 52 fish in the
lake after 7 years.

Answers

The expotenrioanl growth would be 0.5%

Four small candies cost $.96 how much do six candies cost

Answers

Six candies would cost $1.44.

Answer:

$1.44

Step-by-step explanation:

We need to figure out how much one piece of candy costs. So you do .96/4, which is going to equal 0.24.

1 piece of candy = $0.24

So we do 0.24*6= 1.44

I hope this helps!!!

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A pizza shop needs 5 ounces of cheese and 3 ounces of sauce to make one pizza. after 4 hours of being open one evening, the pizza shop has used 192 ounces combined of sauce and cheese. how many pizzas were made so far that evening?

Answers

The total number of pizzas were made in 4 hour in pizza shop is 24.

Describe the term unitary method?The unitary approach involves calculating the value of an individual unit, from which we can calculate the values of the necessary number of units. A single or distinct unit is referred to by the word unitary. Therefore, the goal of this strategy is to establish values in reference to a separate unit.

For the stated question-

For one pizza-

Ounce of cheese required = 5.

Ounces of sauce required = 3.

Total requirement = 8 ounces.

After 4 hours,

Total ounces combined of sauce and cheese used = 192.

Thus,

Number of pizza = 192 / 8

Number of pizza = 24

Thus, the total number of pizzas were made in 4 hour in pizza shop is 24.

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the difference of vidya's age and 15 is 66 use the variable v to represent vidya's age

Answers

Answer:

[tex]\huge\boxed{\sf v = 81}[/tex]

Step-by-step explanation:

Let Vidya's age be v.

Given condition:

v - 15 = 66

Add 15 to both sides

v = 66 + 15

v = 81

[tex]\rule[225]{225}{2}[/tex]

Which set of ordered pairs (x, y) could represent a linear function

A = \{(1, - 2), (3, 1), (5, 4), (8, 7)\}

B = \{(- 6, 6), (- 3, 3), (0, 0), (3, - 4)\}

C = \{(- 2, 8), (- 1, 6), (0, 4), (2, 1)\}

D = \{(- 8, 6), (- 4, 3), (0, 0), (4, - 3)\}

Answers

{(- 8, 6), (- 4, 3), (0, 0), (4, - 3)}set of ordered pairs (x, y) could represent a linear function

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Linear function is a function whose graph is a straight line

Slope of a line tells us how steep the line is . Slope of a line is same at all the points.

For option A:

m=1+2/3-1=3/2

m=3/2

m=7-4/8-5=3/3=1

Slopes are not same

For option B:

m=3-6/-3+6=-3/3=-1

m=0-3/0+3=-1

m=-4/3

Slopes are not same

For option C:

m=6-8/-1+2=-2

m=4-6/1=-2

m=-3/2

Slopes are not same

For option D:

m=3-6/-4+8=-3/4

m=-3/4

m=-3/4

Slopes are same at every point, so this set of ordered pairs could represent a  linear function

Hence, {(- 8, 6), (- 4, 3), (0, 0), (4, - 3)}set of ordered pairs (x, y) could represent a linear function

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New game You pay 10 and roll a 6 die. If you get a you win 50 If not, you get to roll again. If you get a 6 this time, you get your 10 back.
a) Create a probability model for this game.
b) Find the expected value and standard deviation of your prospective winnings.
c) You play this game five times. Find the expected value and standard deviation of your average winnings.
d) 100 people play this game. What's the probability the person running the game makes a profit?

Answers

a) Probability model

P(40) = 1/6

P(0) = 5/36

P(-10) = 25/36

b)  E(X) = -5/18

standard deviation  = 18.331

c) standard deviation  = 91.65

d) Probability = 0.560

From the question, we have

a) X = -10, 0 or 40 for your winnings (or losses). The corresponding probabilities are:

P(40) = 1/6

P(0) = (5/6)(1/6) = 5/36

P(-10) = 1 - 1/6 - 5/36 = 25/36

b) E(X) = (-10)(25/36) + 0(5/36) + 40(1/6) = -5/18

E(X^2) = (100)(25/36) + 1600(1/6) = 3025 / 9

Var(X) = E(X^2) - [E(X)]^2 = 3025 / 9 - (-5/18)^2 = 108875 / 324

standard deviation = sqrt [Var X] = 119043 / 6494 =18.331

c) E(X) = (-10)(25/36) + 0(5/36) + 40(1/6) = -5/18

5 * E(X)  =  - 25/18

standard deviation = 5 * 18.331 = 91.65

d) Probability :

P(X < 0) = P{ z < [0 - (-5/18)] / [(119043 / 6494) / sqrt 100] } = P(z < 0.1515) = 0.560

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

Complete question:

From the Data at Hand to the World at Large 4. New game You pay $10 and roll a die. If you get a 6, you win $50. If not, you get to roll again. If you get a 6 this time, you get your $10 back. a) Create a probability model for this game. b) Find the expected value and standard deviation of your prospective winnings. c) You play this game five times. Find the expected value and standard deviation of your average winnings. d) 100 people play this game. What's the probability the person running the game makes a profit?

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I would like to create a rectangular vegetable patch. The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot. I have a budget of $96 for the project. What are the dimensions of the vegetable patch with the largest area i can enclose?.

Answers

The dimensions of the vegetable patch with the largest area we can enclose are

length = 12 feet and breadth = 6 feet.

Given, a rectangular vegetable patch.

The fencing for the east and west sides costs $4 per foot, and the fencing for the north and south sides costs only $2 per foot.

We have a budget of $96 for the project.

Let the length of the rectangle be, l

and breadth of the rectangle be, b

according to the ques,

4l + 8b = 96

l + 2b = 24

l = 24 - 2b

Now, area of the rectangle be,

Area = length×breadth

Area = l×b

A = (24 - 2b)b

A = 24b - 2b²

On differentiating both sides, we get

A' = 24 - 4b

b = 6

l = 24 - 12 = 12

So, the dimensions of the vegetable patch with the largest area we can enclose are

length = 12 feet and breadth = 6 feet.

Hence, The dimensions of the vegetable patch with the largest area we can enclose are

length = 12 feet and breadth = 6 feet.

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The average waiting time at a drive-in window of a local bank is 10. 3 minutes, with a standard deviation of 2. 7 minutes. Assume the variable is normally distributed. If a customer arrives at the bank, find the probability that the customer will have to wait between 4 and 9 minutes.

Answers

29.78% of customers will most likely probability be waiting between 4 and 9 minutes.

Explain the term z-score of the normal distribution?An observation's Z score indicates however many standard deviations it deviates from the mean. The standard normal distribution's mean is zero. Positive Z scores are those above the mean, while negative Z scores are those below the mean.

The formula for the z score is-

z = (x - μ)/σ

In which,

μ =  mean of 10. 3 minutes

σ = standard deviation of 2. 7 minutes.

z score for the x = 4 minutes.

z = (4 - 10.3)/2.7

z = -2.33

z score for the x = 9 minutes.

z = (9 - 10.3)/2.7

z = -0.48

Thus,

Probability that the customer will have to wait between 4 and 9 minutes.

P(4 < x < 9) = P(-0.48 < z <  -2.33)

Use z score table-

P(4 < x < 9) =  0.3085 - 0.0107

P(4 < x < 9) = 0.2978

P(4 < x < 9) = 29.78%

Thus, 29.78% of customers will most likely be waiting between 4 and 9 minutes.

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PLS HELP ASAP!!!! 50 PTS

Answers

Answer: x=4

Step-by-step explanation:

6x + 10 = 5x + 14

x + 10 = 14

x = 4

6x+10=5x+14
x+10=14
x=4

Clingman Dome, in the Great Smoky Mountains, is the highest point in Tennessee.
Clingman Dome is 6,643 feet above sea level. Use the information to answer questions 4-5.

Answers

a) Considering the scale factor, the height that she should build the model is of: 22.1 inches.

b) Essence has enough information to build the accurate scale model, as she needs only the scale and either the actual or the drawn model.

What are scales?

An scale is defined as the relation between the actual length of a segment and the length of drawn segment, as follows:

Scale = Actual length/drawn length

The scale for this problem is given as follows:

Scale factor = 300 ft/1 in.

Which means that each inch on the drawing represents an actual height of 300 ft.

The height of the Clingman Dome is given as follows:

6,643 feet.

Considering the scale factor of 300 ft/1 in, the height of the drawing is obtained as follows:

6643/300 = 22.1 inches.

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Akira is running around a circular track. Akira runs counterclockwise. From where he starts, it takes him 22 seconds to reach the easternmost point of the track. It takes him 95 seconds to run one complete lap. Bob starts running at the same time as Akira. Bob starts from the northernmost point and runs clockwise. Bob and Akira pass each other for the first time after 26 seconds. How long does Bob take to run one lap of the track? (round off your answer to four decimal digits)

Answers

The time taken for Bob take to run one lap of the track is 69 seconds

Akira is running around a circular track. Akira runs counterclockwise.

It takes him 95 seconds to run one complete lap

Bob starts running at the same time as Akira

Bob and Akira pass each other for the first time after 26 seconds

It takes him 95 seconds to run one complete lap

In 26 seconds he covers 26/95 laps

In this time Bob must have covered 69/95 laps

An inverse relationship

c/95 = 69/95

c = (69/95) x 95

c = 69

Therefore, time taken for Bob take to run one lap of the track is 69 seconds.

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Given AB, find C which is 1/3 of the distance from A to B. A(1,2) ​B(-5,8)

Answers

Answer: (2,0)

Step-by-step explanation:

Other Questions
which graph represents the peicewise function ? the global distribution of terrestrial ecosystems is primarily controlled by two factors, and . (choose 2 from below) professional management is less of a concern with exchange-traded funds because exchange-traded funds invest in: (fill in the blank) For members of what the diffusion of innovation theory calls the early majority, the recommended strategy for promoting a new technology is to _____. y= 5x the table for it 3F furniture dealer has always sold its merchandise through 4 company-operatedstores. Last year sales were birr 1million and net profit was 8% of sales. Fixedcosts were birr 170,000. As a result of shifting population and increasedcompetition, the four locations have become less desirable. 3F is consideringeliminating its retail stores in favor of door-to-door selling. It is estimated thatsales would increase by 25% and net profit by birr 30,000. Fixed costs wouldincrease by birr 30,000 because operations would be moved to a low-rentwarehouse. Requireda) What was the break-even point under the old situation?b) What will be the break-even point under the proposed situation?c) What birr sales volume must be obtained under the proposed plan to make asmuch profit as last year? A company that wants to use scenes from the pixar movie soul in its advertising campaign would have to have a __________ with the pixar company to use the movie. what provision has been made by the constituiton of nepal regarding judiciary? helppp meee! read the excerpt from pericless funeral oration by thucydides. and, just as our political life is free and open, so is our day-to-day life in our relations with each other. we do not get into a state with our next-door neighbour if he enjoys himself in his own way, nor do we give him the kind of black looks which, though they do no real harm, still do hurt peoples feelings. what is the main point of this excerpt? it is important to pay attention to others feelings. the people are accepting of those who think differently. personal relationships are more important than political ones. community members often have different opinions. exit3 of 5. the basic speed law means that you may never drive faster than it is safe for the current conditions. t/f sydney worked as an urban planner before switching to city court clerk. what most likely remained the same despite the job change? The circumference of a circle is 22pi cm. What is the area, in square centimeters? martha, a widow, now smiles slightly when she thinks about her deceased husband. where would martha be considered in the grief work model? Nuclear decay occurs according to first-order kinetics. A nuclide decays in 3. 40 days from 45. 0 g to 12. 1 g. What is the rate constant for the nuclide?. the Ka of a monoprotic weak acid is 0.00247. what is the percent ionization of a 0.157 m solution of this acid? What literary device is breathing jake has saved $30 per week to buy a new blu-ray player. he compares two different models: a panaview that is priced at $130 and a zony model that is priced at $140. jake decides to purchase the zony blu-ray player for $140. identify what role money plays in each of the following parts of the story. hint: select each role only once. role of money medium of exchange unit of account store of value jake saved $30 per week. jake pays $140 for the blu-ray player. jake can easily determine that the panaview model has a lower price than the zony model. grade it now save Spencer Enterprises is attempting to choose among a series of new investment alternatives. The potential investment alternatives, the net present value of the future stream of returns, the capital requirements, and the available capital funds over the next three years are summarized as follows. Capital Requirements ($) ) Alternative Number Alternative Net Present Value ($) Year 1 Year 2 Year 3 1 Limited warehouse expansion 4,500 3,000 1,000 4,000 2 Extensive warehouse expansion 5,500 2,500 3,500 3,500 3 Test market new product 11,000 6,000 4,000 5,000 4 Advertising campaign 4,500 2,000 1,500 1,800 5 Basic research 7,500 5,000 1,000 4,000 6 Purchase new equipment 2,500 1,000 500 900 Capital funds available 10,500 7,000 8,750 (a) Develop an integer programming model for maximizing the net present value in $). Let x = 1 if investment alternative i is selected for 1 = 1, 2, 3, 4, 5, 6. 16.) O otherwise Max 4500x, + 5500x7 + 11000x.: + 4500x4 + 7500x3 + 2500x6 s.t. Year 1 3000x4 + 2500x2 + 6000x3 +2000x4 + 5000x5 + 1000x6 < 10500 Year 2 1000x, + 3500x, + 4000x3 + 1500x4 + 1000x5 + 500x6 S 7000 Year 3 1000x, + 3500x, +5000x3 + 1800x4 + 1000x + 900x48750 According to this model, what is the maximum net present value in $)? $ 24300 X (b) Assume that only one of the warehouse expansion projects can be implemented. Modify your model from part (a). In addition to the constraints from part (a), what additional constraint should be added to the integer programming model? *1 + x2 a garden hose with a small puncture is stretched horizontally along the ground. the hose is attached to an open water faucet at one end and a closed nozzle at the other end. as you might suspect, water pressure builds up and water squirts vertically out of the puncture to a height of 0.37 m. determine the pressure inside the hose. (enter your answer to the nearest 1000 pa.) consider the equilibrium system described by the chemical reaction below. if 0.1908 moles of co, 0.0908 moles of h, 0.0092 moles of co, and 0.0092 moles of ho are present in a 2.00 l reaction vessel at equilibrium at 300 k, what is the value of kc of the reaction at this temperature? co(g) h(g) co(g) ho(g)