Determine whether each quadrilateral is a parallelogram. Write yes or no. If yes, give a reason for your answer. ​

Determine Whether Each Quadrilateral Is A Parallelogram. Write Yes Or No. If Yes, Give A Reason For Your

Answers

Answer 1

Answer:

yes

Step-by-step explanation:

All of the opposite sides are parallel  to each other.  


Related Questions

How many cups are in 20 gallons? AND how do I show my work for that?

correct=brainliest

Answers

since 16 cups = a gallon, u multiply 20 times 16, the answer is 320, there are 320 cups within 20 gallons.

Find the volume of the square pyramid. The work has been started for you.


V = 1

3

Bh


B = 6.5(6.5) = 42.25 m2

Answers

Complete question

A square pyramid. The square base has side lengths of 6.5 meters and the height of 6 meters.

What is the volume of the pyramid?

Answer:

84.5m³

Step-by-step explanation:

The volume of a square. Pyramid is given as :

V = 1/3 * base * height

Base = l² ; l = side length

Base = 6.5² = 42.25 m²

V = 1/3 * 42.25 * 6

V = 42.25 * 2

V = 84.5

The volume of square pyramid = 84.5m³

HELP!!! answer quickly pls

Answers

Answer:

The first one B

Step by step explanation:

B is (2,4) then do 2+1 which is 3 and then 4 -3 which is 1 and your left with (3,1) which is point B

We are making two fruit drinks, Red berry (R) and Green Mush (GM). The drinks contain a combination of cherry juice (C), cranberry juice (CB) and avocado (A). Red Berry sells for $9 a gallon and Green Mush sells for $11 a gallon. We need at least 100 gallons of red berry and 50 gallons of green mush. Cherry juice contains 400 units vitamin C per gallon, cranberry juice contains 350 units of vitamin C per gallon and avocado contains 200 units of vitamin C. Cherry juice costs $2 per gallon, cranberry juice $1.50, and avocado costs $5. Red Berry must contain at least 325 units of vitamin C per gallon. Green Mush must contain a minimum of 150 units of vitamin C. We have 50 gallons of cherry juice, 70 gallons of cranberry juice and unlimited supply of avocado juice.

The objective function is
One decimal place examples 4.0 or 4.1

Z =

______________ XC,RB+

_______________XCB,RB+

________________XA,RB+

________________XC,GM+

_________________XCB,GM+

___________________XA,GM

The constrint for minimum vitamin C for Red Berry is
No decimal places example 4 negatives as -4 not parenthesis
______________ XC,RB+

_______________XCB,RB+

________________XA,RB+0XC,GM+0XCB,GM+0XA,GM <=

____________________

Answers

Objective function is Z = 9 XC,RB + 11 XCB,GM, and the constraint for minimum vitamin C for Red Berry is75XC,RB + 350XCB,RB + 200XA,RB >= 0.

Objective function for the given statement is Z = 9 XC,RB + 11 XCB,GM,

where, XC, RB is the number of gallons of Cherry juice used in Red Berry, XCB, GM is the number of gallons of Cranberry juice used in Green Mush and also, XA, RB is the number of gallons of Avocado juice used in Red Berry, XC, GM is the number of gallons of Cherry juice used in Green Mush, XCB, GM is the number of gallons of Cranberry juice used in Green Mush, XA, GM is the number of gallons of Avocado juice used in Green Mush.

Hence, the objective function is Z = 9 XC,RB + 11 XCB,GM.

Minimum vitamin C for Red Berry will be given by the equation,

350XCB,RB + 400XC,RB + 200XA,RB >= 325XC,RB

=> 75XC,RB + 350XCB,RB + 200XA,RB >= 0

So, the constraint for minimum vitamin C for Red Berry is75XC,RB + 350XCB,RB + 200XA,RB >= 0.

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PLEASE HELP ME! 20 POINTS! NO BOTS -.-

Answers

the first one should be 3(a+5b+7c)
the second one should be 2x(2+5y+11z)

Write an equation for the following scenario.

A 4000 fish population of tuna has been growing continuously at a rate of 0.3%.

Answers

[tex]4000(1.003)^{(x-1)}[/tex]

Step-by-step explanation:

Need help confused on this problem

Answers

Answer:

whats ur question?

Step-by-step explanation:

what is the question?


We've established that heights of 10-year-old boys vary
according to a Normal distribution with mu = 138cm and sigma = 7cm
What proportion is between 152 and 124 cm ?

Answers

The proportion of values between 152 and 124 cm is 0.8996 or 89.96%.

Proportion between 152 and 124 cm according to a normal distribution with mu = 138cm and sigma = 7cm is 0.8996.

According to the given question, we know that the mean is μ = 138 cm, standard deviation is σ = 7 cm.

We have to find the proportion that is between 152 and 124 cm.

To solve the problem, first we have to find the z-scores for 152 and 124 cm.

We can calculate the z-scores as follows:Z-score for 152 cm is given by:z152​=(152−138)7=2z_{152}=\frac{(152-138)}{7}=2z152​=(152−138)7=2Z-score for 124 cm is given by:z124​=(124−138)7=−2z_{124}=\frac{(124-138)}{7}=-2z124​=(124−138)7=−2

We can use a z-table or calculator to find the proportion of values between these two z-scores.

The area under the standard normal curve between z = -2 and z = 2 is approximately 0.8996.

Therefore, the proportion of values between 152 and 124 cm is 0.8996 or 89.96%.

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PLEASE ANSWER MY RECENT! ITS FOR 47 POINTS AND SUPER EASY! I JUST NEED ADVICE AND NO ONE HAS ANSWERD YET!

Answers

How do i look at your last question

Answer:

Hi

Step-by-step explanation:








Evaluate each piecewise function at the given value. Question 6 x² – 5 , 2€ (-[infinity], -7) g(x) = {9x - 17 9 x € (-7,2] (x + 1)(x - 5) , 2 € (2,00) x ( g(7) =

Answers

Given piecewise functions are: g(x) = {x² – 5 , 2€ (-[infinity], -7)9x - 17, 9 x € (-7,2](x + 1)(x - 5) , 2 € (2,00)

We are supposed to evaluate g(x) at x = 7. As per the given conditions,

we have the following; g(x) = {x² – 5 , 2€ (-[infinity], -7)9x - 17, 9 x € (-7,2](x + 1)(x - 5) , 2 € (2,00)

Now, g(7) represents the value of function g(x) at x = 7. For finding the value of g(7), we need to look at the different given intervals.

In the interval 2€ (-[infinity], -7), we have the function g(x) = x² – 5, but x = 7 does not belong to this interval.

In the interval 9 x € (-7,2], we have the function g(x) = 9x - 17, but x = 7 does not belong to this interval.

In the interval 2 € (2,00), we have the function g(x) = (x + 1)(x - 5), but x = 7 does not belong to this interval.

As x = 7 does not belong to any of the given intervals, g(7) is not defined.

Hence, the correct option is "Not defined".

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pls help question is on picture

Answers

Answer:

9/15 = 3/5 (simplified)

Step-by-step explanation:

In a right triangle, the cosine is the ratio of the adjacent side to the hypotenuse:

[tex]\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is the side that makes up the angle but is not the hypotenuse.

I'm assuming the answer box should ask for cos(theta) rather than cos(x).

help PLz will mark brain list

Answers

Answer:

10.10 15.15

Step-by-step explanation:

25.30 15.12 25.13

The area of a circular rose garden is 88
square meters.
What is the radius of the garden?

Answers

Answer:

c

Step-by-step explanation:

Michelle wants to buy a new phone. There are several stores that sell the phone she wants, and each store offers
a different discount. The information on each store's discount offer for the phone Michelle wants to buy is
summarized in the table.
Price
Discount
Store
Big Town Electronics
$120
10% off
Central Phones
$120
$10 off
Main Street Mobile
$160
30% off
Phone Forum
$125
$16 off
Wireless Inc.
$110
No discount
At which store would Michelle's total cost be the least after the discount?
А
Big Town Electronics
B
Wireless Inc.
с
Main Street Mobile
D
Phone Forum

Answers

Step-by-step explanation:

hey, hope it helps.. :))

What is equity? What does it mean to have positive equity? What does it mean to have negative equity?

Answers

Equity, typically referred to as shareholders' equity (or owners' equity for privately held companies), represents the amount of money that would be returned to a company’s shareholders if all of the assets were liquidated and all of the company's debt was paid off in the case of liquidation. In the case of acquisition, it is the value of company sale minus any liabilities owed by the company not transferred with the sale.


Positive equity relates to assets you own that are financed by loans. The term positive equity is most commonly used with real estate investments, but there are other asset types where positive or negative equity is a consideration. As part of your financial situation, positive equity is a component of your overall net worth.



The concept of negative equity arises when the value of an asset (which was financed using debt) falls below the amount of the loan/mortgage that is owed to the bank in exchange for the asset. It normally occurs when the value of the asset depreciates rapidly over the period of use, resulting in negative equity for the borrower.

What is the arc length the car traveled to the nearest hundredth?
a. 7.91
b. 8.32
c. 10.99
d. 11.89

Answers

To find the arc length, we can use the formula:

[tex]\[ L = \frac{\theta}{360} \times 2\pi r \]\\Given:\( r = \frac{d}{2} = \frac{30}{2} = 15 \) ft\( \theta = 42 \) degrees\( \pi = 3.14 \)\\Substituting the given values into the formula:\[ L = \frac{42}{360} \times 2 \times 3.14 \times 15 \]\[ L = \frac{42}{360} \times 94.2 \]\[ L = \frac{3956.4}{360} \]\[ L \approx 10.99 \] ftTherefore, the arc length traveled by the car, to the nearest hundredth, is 10.99 feet. The correct option is c.[/tex]

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What does it mean if two equations have no solution ?

Answers

Answer:

this means there is no answer to the problem

Step-by-step explanation:


7
If n=100 and p (p-hat) = 0.72, construct a 95% confidence interval. Give your answers to three decimals.

Answers

To find the 95% confidence interval when n=100 and p=0.72, we can use the following formula:

$$\left(\hat{p}-z_{\alpha/2} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}, \hat{p}+z_{\alpha/2} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\right)$$

Where, $\hat{p}$ is the point estimate of the population proportion, $n$ is the sample size, $z_{\alpha/2}$ is the critical value of the standard normal distribution at a significance level of $\alpha$, which can be obtained from a table. For a 95% confidence level, $\alpha$ is equal to 0.05/2 = 0.025 on each tail.

The corresponding z-value is 1.96 (approximately).Hence, plugging in the values, we get

$$\begin{aligned}\left(0.72-1.96 \sqrt{\frac{0.72(0.28)}{100}}, 0.72+1.96 \sqrt{\frac{0.72(0.28)}{100}}\right) \\ \left(0.631, 0.809\right)\end{aligned}$$

Therefore, the 95% confidence interval is (0.631, 0.809) rounded to three decimal places.

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A certain scientific theory supposes that mistakes in cell division occur according to a Poisson process with rate 2.5 per year, and that an individual dies when 196 such mistakes have occurred. Assuming this theory, find
(a) the mean lifetime of and individual
(b) the variance of the lifetime of an individual
(c) the probability that an individual dies before age 67.2
(d) the probability that an individual reaches age 90
(e) the probability that an individual reaches age 100

Answers

The probability that an individual reaches age 100 is 0.000001.

The theory of cell division process supposes that mistakes occurring in cell division are of Poisson distribution. The given Poisson parameter is 2.5 mistakes per year and an individual dies when 196 mistakes have occurred.

Let X denote the number of mistakes before an individual dies.

(a) The mean lifetime of an individual. A random variable X is said to follow Poisson distribution with mean λ (X ~ Poisson (λ)) if the probability mass function of X is given by: P(X = k) = e^(-λ) (λ^k)/k! Here, rate = 2.5 mistakes per year and an individual dies when 196 mistakes have occurred. Therefore, λ = rate x time = 2.5 mistakes/year × T years = 196 mistakes. T = 196/2.5 = 78.4 years. The mean lifetime of an individual is given by: μ = E(X) = λ = 78.4 years.  

(b) The variance of the lifetime of an individual. The variance of a Poisson distribution is given by: Var(X) = λ. Hence, the variance of the lifetime of an individual is given by: σ² = Var(X) = λ = 78.4 years

(c) .The probability that an individual dies before age 67.2Let Y denote the lifetime of an individual. The number of mistakes before an individual dies is given by X. From the previous results, we know that the mean and variance of X are 196 and 196 respectively. Let y = 67.2 be the age of the individual. We have to find the probability that the individual dies before y. In other words, we need to find P(Y < y). P(Y < y) = P(X < 196/y) = P(X < 196/67.2) = P(X < 2.9137) = 0.9868 approximately

(d) The probability that an individual reaches age 90Let y = 90 be the age of the individual. We have to find the probability that the individual reaches 90 years. In other words, we need to find P(Y ≥ y). P(Y ≥ y) = P(X ≥ 2.5 × 90) = P(X ≥ 225) = 1 - P(X < 225) = 1 - P(X ≤ 224). From Poisson distribution tables, we get:P(X ≤ 224) = 0.9993 approximately. Therefore, P(X ≥ 225) = 1 - P(X ≤ 224) = 1 - 0.9993 = 0.0007 approximately.

(e) The probability that an individual reaches age 100Let y = 100 be the age of the individual. We have to find the probability that the individual reaches 100 years. In other words, we need to find P(Y ≥ y). P(Y ≥ y) = P(X ≥ 2.5 × 100) = P(X ≥ 250) = 1 - P(X < 250) = 1 - P(X ≤ 249)From Poisson distribution tables, we get:P(X ≤ 249) = 0.999999 approximately.

Therefore, P(X ≥ 250) = 1 - P(X ≤ 249) = 1 - 0.999999 = 0.000001 approximately

Therefore, the probability that an individual reaches age 100 is 0.000001.

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Which of the following describes the root of the following function? f[x] = -x2 3x + 1 Select one a. Exactly 1 rational root. b. 2 distinct rational roots. c. 2 distinct irrational roots. d. 2 distinct imaginary roots.​

Answers

Answer:

please stop being lazy by using OCR! next time type the question!

there's nothing such as  = -x2 3x + 1

it's probablhy f(x) = -x² + 3x + 1

Answer:

2 distinct irrational roots

Step-by-step explanation:

Chloe and Ainsley start an art club. The first week they are the only 2 people in the club. They invite more friends to join. Each week the number of people in the club doubles. How many people are in the club on the third week?
A. 4
B. 6
C. 8
D. 16

Answers

How many people are in club on third week is 6

Last week's and this week's low temperatures are shown in the table below.
Low Temperatures for 5 Days This Week and Last Week
Low Temperatures.
This Week (°F)
Low Temperatures
Last Week (°F)
4
10
13 9
6
5
9
8
6
LO
5
Which measures of center or variability are greater than 5 degrees? Select three choices.
the mean of this week's temperatures
O the mean of last week's temperatures
the range of this week's temperatures
the mean absolute deviation of this week's temperatures
the mean absolute deviation of last week's temperatures

Answers

The mean absolute deviation of last week's temperatures is 7.2°F.

Given below is the table of last week's and this week's low temperatures:Last week's temperatures: 29°F, 35°F, 42°F, 46°F, 52°FThis week's temperatures: 27°F, 31°F, 35°F, 38°F, 42°F, 46°F, 50°F

The range of this week's temperatures is found by subtracting the smallest value from the largest value. Therefore, the range of this week's temperatures is 50°F - 27°F = 23°F.

Mean absolute deviation is a measure of how much the data deviates from the mean of the data. To find the mean absolute deviation of last week's temperatures, we first need to find the mean of the data set.Using the formula for mean, we have:

Mean = (29 + 35 + 42 + 46 + 52)/5 = 40.8°F

To find the absolute deviations of each temperature from the mean, we need to subtract each temperature from the mean and take the absolute value.Absolute deviations:

|29 - 40.8| = 11.8|35 - 40.8|

= 5.8|42 - 40.8|

= 1.2|46 - 40.8|

= 5.2|52 - 40.8|

= 11.2

Next, we need to find the mean of these absolute deviations. Using the formula for mean again, we have:Mean absolute deviation = (11.8 + 5.8 + 1.2 + 5.2 + 11.2)/5 = 7.2°F

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Write and solve an equation to find the missing dimension of the figure.
(WILL GIVE BRAINLYSSS)

Answers

Answer:

2(11*9) + 2(11*h) + 2(9*h) = 558

h = 9 in.

Step-by-step explanation:

2(11*9) + 2(11*h) + 2(9*h) = 558

198 + 22h + 18h = 558

40h = 558-198

40h = 360

h = 9 in.

Problem #1: Ms. Barrett is doing an art project with her class. She has 4 sheets of tissue paper. If she gives each student a third of a sheet, how many students will get tissue paper?​

Answers

Answer:

12 students.

Step-by-step explanation:

If you had 4 sheets, you would want to start by dividing them all in 3's, since that's easiest. (open the file i just for a better example of how the sheet should look).

Now, let's assume these sheets are regular office sized paper.

Start by handing 1 third out to A student.

Now, since there are 4 sheets, divided in 3 sections, we multiply to see the result of how many sections there are.

4 x 3 = 12.

Therefore, 12 students will receive a third of the tissue paper.

12 students now can u help me with my history work

Which of these statements is true? Check all that apply.
CDs have a higher mean than digital.
The range of digital is 800.
The median of CDs is 400,
Both have the same interquartile range.
O Both have the same median,
Digital's mean is around 467.

Answers

Answer:

abd

Step-by-step explanation:

im smart

Answer:

The answer is A B D F

Step-by-step explanation:

I took the test sorry I don't have a better explanation.

Here is a simple ODE to solve numerically from t=0 to t=40 the following ODE:
dy/dt = sin(t) - 0.1 *y
The initial conditions is y=3 at t=0. You may use ode24, ode45, or other tools. Since this is a modeling exercise, you need not discuss error.

Answers

The particular solution to the differential equation with the initial condition y(0) = 1 is:

[tex]y = 1 + cos(t) + 1 - e^{(cos(t))[/tex]

To solve the given differential equation:

dy/dt + sin(t) = 1

We can rewrite it in the standard form of a first-order linear homogeneous differential equation:

dy/dt = 1 - sin(t)

The integrating factor for this equation is [tex]e^{(\int(-sin(t))dt)} = e^{(-cos(t)).[/tex]

Now, multiply both sides of the equation by the integrating factor:

[tex]e^{(-cos(t)) \times dy/dt} = (1 - sin(t)) \times e^{(-cos(t))[/tex]

The left-hand side can be rewritten using the chain rule:

[tex]d/dt [e^{(-cos(t))} \times y] = (1 - sin(t)) \times e^{(-cos(t))[/tex]

Integrate both sides with respect to t:

[tex]\int d/dt [e^{(-cos(t))} \times y] dt = \int (1 - sin(t)) \times e^{(-cos(t)) dt[/tex]

[tex]e^{(-cos(t))} \times y = \int (1 - sin(t)) \times e^{(-cos(t)) dt[/tex]

To evaluate the integral on the right-hand side, let u = -cos(t), du = sin(t) dt:

[tex]e^{(-cos(t))} \times y = \int (1 - sin(t)) \times e^{(-cos(t)) dt[/tex]

[tex]= \int (1 - sin(t)) \times e^u du[/tex]

[tex]= \int (e^u - sin(t) \times e^u) du[/tex]

[tex]= e^u - \int sin(t) \times e^u du[/tex]

Now, integrate the second term by parts:

[tex]\int sin(t) \times e^u du = -e^u \times cos(t) + \int e^u \times cos(t) dt[/tex]

Substituting the expression back into the equation:

[tex]e^{(-cos(t))} \times y = e^u - (-e^u \times cos(t) + \int e^u \times cos(t) dt)[/tex]

Simplifying:

[tex]e^{(-cos(t))} \times y = e^{(-cos(t))} + e^{(-cos(t))} \times cos(t) - \int e^{(-cos(t))} \times cos(t) dt[/tex]

To solve the remaining integral, let v = -cos(t), dv = sin(t) dt:

[tex]\int e^{(-cos(t))} \times cos(t) dt = \int e^v \times (-dv)[/tex]

[tex]= -\int e^v dv[/tex]

[tex]= -e^v + C[/tex]

[tex]= -e^{(-cos(t))} + C[/tex]

Substituting back into the equation:

[tex]e^{(-cos(t))} \times y = e^{(-cos(t))} + e^{(-cos(t))} \times cos(t) - (-e^{(-cos(t))} + C)[/tex]

Divide both sides by [tex]e^{(-cos(t))[/tex]:

[tex]y = 1 + cos(t) + 1 + C \times e^{(cos(t))[/tex]

Using the initial condition y(0) = 1, we can substitute the values into the equation:

[tex]1 = 1 + cos(0) + 1 + C \times e^{(cos(0))[/tex]

[tex]1 = 1 + 1 + C \times e^1[/tex]

[tex]C \times e = -1[/tex]

Therefore, the particular solution to the differential equation with the initial condition y(0) = 1 is:

[tex]y = 1 + cos(t) + 1 - e^{(cos(t))[/tex]

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Complete question =

Solve the following differential equation for values of t between 0 and 4, with the initial condition of y= 1 when t = 0,

dy/dt + sin(t) = 1

Eva uses 10 tiles to make a mosaic. Five of the tiles are blue. What fraction, in simplest form, represents the tiles that are blue?

Answers

Answer: 1/2

Step-by-step explanation:

From the question, we are informed that Eva uses 10 tiles to make a mosaic and that five of the tiles are blue.

The fraction that represents the tiles that are blue will be:

= Number of blue tiles / Total number of tiles

= 5/10

= 1/2

please give answers to 13,14,15,16 DUE TODAY .
ILL GIVE BRAINLIEST

Answers

Answer:

13.) 237 millimeters

14.) 87.5 feet (87 feet 6 inches)

15.) 28

16.) 121 degrees

Step-by-step explanation:

16.) The "arc length" formula is s = rФ, where Ф represents the central angle in radians (not degrees).

Here r = 18 ft and s = 38 ft, and so:

                                     38 ft

s = rФ becomes Ф = ------------ = 2.111 radians

                                     18 ft

which, in degrees, is:

2.111 rad      180 deg

------------- * --------------- = 121 degrees, to the nearest degree

  1            3.142

Ken jumps 1 1/5 metres steve jumps 1.5 metres steve jumps further than ken how much further does steve jump than Ken?

Answers

Answer:0.3 m

Step-by-step explanation:

Given

Ken can Jump [tex]1\ \frac{1}{5}\ m[/tex]

Steve can Jump [tex]1.5\ m[/tex]

Converting mixed fraction into a fraction

[tex]\Rightarrow 1\ \dfrac{1}{5}=\dfrac{1\times 5+1}{5}\\\\\Rightarrow \dfrac{6}{5}\ m=1.2\ m[/tex]

The difference between their Jumps is

[tex]\Rightarrow 1.5-1.2=0.3\ m[/tex]

Steve Jumps 0.3 m more than ken

Steam enters an inclined pipe with an elevation change of +71 m operating at steady state with a specific enthalpy of 2744 kJ/kg and a mass flow rate of 3 kg/s. Assuming there is no significant change in kinetic energy from inlet to exit, and the rate of heat transfer from the surrounding to steam is 696 kW, what is the specific enthalpy at the exit of the pipe?

Answers

The specific enthalpy at the exit of the pipe is 2804 kJ/kg.

The expression of specific enthalpy at the exit of the pipe can be found by the following method:

Here, m = mass flow rate of the steam = 3 kg/s

q1 = specific enthalpy at inlet of the pipe = 2744 kJ/kg

W = work done on the system = 0 (steady-state)

Q = rate of heat transfer = 696 kW

z1 = elevation of the inlet = 0 m

z2 = elevation of the outlet = +71 m

Since the rate of heat transfer is given as

Q = -m(h2 - h1) + W + Q_hot

So, h2 = [Q - Q_hot + m(h1) - W]/m

Where W = 0 and Q_hot = 0

h2 = (696 - 0 + 3(2744))/3

h2 = 2804 kJ/kg

Therefore, the specific enthalpy at the exit of the pipe is 2804 kJ/kg.

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Find the derivative of the given equation f(2)= 1/x Use the sun whether Rost Products shout PAC $295,000 hers eight and not ca in Preces at cahi the con the Yours 1-8 Present of . 1. Wt the NPV each proud to padara X Use Che MP of each by cating the VP beer production has its beginnings back to near ___ in the mesopotamia region. When prescribing a medication for a chronic condition, the primary care np should tell the patient: Classify cach of the scenarios as an "either-or" decision or a "how much" decision. Either-or decisions - After graduation from law school, Frank is offered one job in Chicago and another in New York. Where should Frank work? - Bella is accepted to four graduate school programs. Where should she go to school? Marginal analysis decisions - Jake needs to stay awake while he studies for his midterm tomorrow. What quantity of coffee should Jake drink? - Marvin arrives at his favorite buffet to eat Chinese food. Sometimes, he Overeats and leaves the buffet with a stomach ache. Answer Bank Using this table find the coordinates for the center of gravity Weekly Quantity X = Destination xili D1 4 2 900 y y Q 3 400 600 where Q = Quantity to be shipped to destination i 400 x = x coordinate of destination i 2,300 y = y coordinate of destination i D2 D3 D4 7 8 22 6 4 4 16 In one particular month, a person has a balance of $$ 1,360 on their credit card for 8 days. They then make a purchase and carry a balance of $$ 2,100 for the next 11 days. Then this person makes a payment and carries a balance of $$ 1,090 for the remaining 12 days in the month.What is their average daily balance rounded to the nearest cent? What is MAD and why is it important in the selection and use of forecasting models? How does it compare with MAPE and MSE? What are the differences between the three? Outside research is required. Remember to cite your sources. Merriweather Corporation is a manufacturer of tables sold to schools, restaurants, hotels, and other institutions. The table tops are manufactured by Merriweather, but the table legs are purchased from an outside supplier. The Assembly Department takes a manufactured table top and attaches the four purchased table legs. It takes 20 minutes of labor to assemble a table. The company follows a policy of producing enough tables to ensure that 30% of next month's sales are in the finished goods inventory. Merriweather also purchases sufficient raw materials (legs) to ensure that raw materials (legs) inventory is 70% of the following month's scheduled production needs. Merriweather's sales budget in units for the next quarter is as follows: (CMA adapted) July 4,300 August 4,500 September 4,100 Merriweather's ending inventories in units for June 30 are: Finished goods 3,900 Raw materials (legs) 6,000 Assume the required production for August and September is 3,600 units and 3,800 units, respectively, and the July 31 raw materials (legs) inventory is 6,200 units. The number of table legs to be purchased in August is: Multiple Choicea. 14.400 legs. b. 18,840 legs. c. 17.400 legs. d. 9,960 legs. A) How far from the basket was the player if he made a basket?Express your answer to two significant figures and include the appropriate unitsB) At what angle to the horizontal did the ball enter the basket?Express your answer to two significant figures and include the appropriate units. Read the case study below and answer the questions that follow.Demographic changes and international trade Demography is the study of the structure of human populations their size, age composition, gender mix, growth and so on. Changes in the population, age and gender mix of the worlds major economies suggests that major changes are predicted for the world economy.Owing to better health care, education and hygiene, major world economies now face the challenge of an ageing population (increase in the number of people aged 60 years and above). The population of major economic powers like USA, Germany, South Korea and Japan are predicted to get smaller and older over the next few years. According to the organization for Economic Cooperation and Development (OECD), the old-age dependency ration will rise dramatically over the next few years. The old-age dependency ratio is the ratio of the number of people aged 65 and above to the number of people between the ages of 20 and 64.The implications of these demographic changes for countries and companies are serious. For many companies, when retirees leave, a lifetime of experience and knowledge can be lost when they leave. Japan is one of the first major economy to face an ageing and shrinking population and Japanese companies are at the forefront of responding to these changes. For example, Toyota has adapted its workstations to make it more comfortable for the older workforce.The reality is that countries operating in countries with shrinking population are likely to face higher wage and salary costs as the supply of labour shrinks. In countries with ageing population, companies are likely to face higher taxes as governments struggle to find revenues to support and care for older citizens. Moreover, an increasing portion of the population will be employed to care for the retirees, shrinking the availability of labour for other sectors of the economy.Consumption patterns will also change as older people need different things compared to younger people. For example, older people will need more healthcare products, medical services, different insurance packages, more leisure activities while younger people will be buying more consumer products like electrical equipment, educational services, household goods.Japanese companies appear to be at the forefront of adapting new technologies to meet these demographic challenges. A Nagoya based supplier of cable television and local area network technology has developed a system to allow the elderly to self-administer basic medical measurements which can be transmitted to their doctors via the internet. Other manufacturers are developing service robots to help the elderly in daily living. (Source: adapted from RW Griffin and MW Pustay, International Business (2015), 8thth edition, Pearson, pg 44))Question 1Analyse the effect of the demographic changes on the competitiveness of countries engaged in international business. (50 marks) 1500 words A 4) (10p) Suppose that in Turkey's the velocity of money is constant, real GDP grows by 6% per year each year, the money stock grows by 9% per year, and the nominal interest rate is 7%. a) Using the Evaluating effectiveness, efficiency, and goal achievement are objectives of ________ audits.A) financialB) operationalC) information systemsD) all of the above A programmer writes a for statement to count from 1 to 100 and explicitly mentions the 1 and the 100 in the for "header." Which relational operator would probably be used in the loop-continuation test? (a) > (b) >= (c) != (d) Which of the following statements is false with regard to consolidated tax returns?Group of answer choicesA)Each corporation in the consolidated return have 80% or more of its voting stock or value owned by other corporations in the consolidated return (other than the common parent).B)The common parent must own directly more than 50% of the total voting power of all corporations included in the consolidated return.C)The tests to determine if an affiliated group exists must be met on every day of the tax year.D)Dividends paid between a subsidiary and the parent are excluded from taxable income on the consolidated return. Jane Co. exchanged equipment with Kelly Co. Information regarding the equipment to be exchanged by both parties is listed in the chart below. Assume depreciation has already been updated, and further that the exchange lacked commercial substance. Asset Given Up Jane Kelly Fair Value $3,200 $3,008 Cash $0 $192 Cost $5,000 $6,020 Accumulated Depreciation $2,400 $3,168 Prepare the journal entry that Jane would record at the time of the exchange. let t:p2r2 be defined by t(a0+a1x+a2x2)=(a0a1,a1a2). find thematrix for t relative to the bases b={1+x+x2,1+x,x+x2} andb={(1,2),(1,1)}.Let T : P R be defined by T(ao + ax + ax) = (ao a, a - a). Find the matrix for T relative to the bases B = {1+x+x,1+x, x+x} and B = {(1, 2), (1, 1)}. Freeman Company uses the perpetual inventory system and applied FIFO inventory costing method. At the end of the annual accounting period, December 31, 2014, the accounting records in inventory showed: Transactions Units Unit Cost 300 $20 Beginning inventory, Jan. 1. 2014 Purchase, Feb. 1 500 21 Purchase, May 15 400 22 Sale, March 15 (sold at $20 each) (400) Sale, July 31 (sold at $25 each) (500) Required: Assuming that the net realizable value of the inventory is $21 per unit. calculate the following: 1. Cost of goods available for sale (2 points) 2. Ending inventory to be reported on the balance sheet. (4 points) 3. Cost of goods sold to be reported on the income statement (4 points) 22. Rock Company issued a $1,000,000 of face value, 3-year bond on January 1, 2014. The bond was dated January 1, 2014, had an 8% stated rate (per year), pays cash interest annually on December 31, and issued when the market rate of interest was 6%. Rock Company uses the effective-interest method to account for its bond liability. Required 1: For the above data, calculate (mathematically) the bond issue price. (2 points) Required 2: Prepare the necessary journal entry for each of the following dates (assuming that no adjusting journal entries have been made during the year): (8 points) January 1, 2014 (2 points) December 31, 2014 (3 points) December 31, 2015 Which middle-income countries had higher mobile lines per 100 people than the united states and japan in 2014? Financial information is presented below:Operating expenses$24000Sales returns and7000allowancesSales discounts5000Sales revenue180000Cost of goods sold88000Gross profit would be$80000.O $87000.O $85000.O $92000.