looooooooooooooooootttttttsss offffffffffffffffffff pointtttttttttttttttttttssssssssssssssssssssssssss

Looooooooooooooooootttttttsss Offffffffffffffffffff Pointtttttttttttttttttttssssssssssssssssssssssssss

Answers

Answer 1

Line AD and line EG are parallel line, Transversal CH < ABC and EFH  are same side exterior angles

What are same side exterior angles?

The presence of two parallel lines and a transversal line leads to some important theorem used in geometry

Some of the theorems include

alternate interior anglesalternate exterior anglescorresponding angles same side exterior angles

The exterior angles refers to angles above line AD and below line EG, which are the parallel lines. These angles according to the figure are 4 and they include

< ABC< CBD< EFH< GFH

The exterior angles to the left of the transversal line forms a pair of same side exterior, similarly, to the right of the transversal line forms another pair of same side exterior angles.

The question is asking  of same side exterior angles to < ABC, which is to the left of the transversal line. The pair that are same side exterior angles to the left of the transversal line are

< ABC< EFH

Hence < EFH and < ABC are same side exterior angles

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Related Questions

Find the y intercept and slope of the linear equation

0 = 4.5 - 2y + 4.8x

Answers

Let’s rearrange it first
Add 2y to both sides
2y=4.8x + 4.5
Divide both sides by 2
Y=4.8x/2 + 4.5/2 = 2.4x + 2.25
This is how linear equations are set up: y=mc + b where m refers to the alive and b refers to the y intercept
Therefore, the slope is 2.4 and the y-intercept is 2.25

DC = 13.4 WHAT IS BD

Answers

Answer:

the answer is 6

Step-by-step explanation:

I hope I helped, if you have questions let me know. I'll try to answer.

Select the correct answer.
Given that a function, h, has a domain of -3 ≤ x ≤ 11 and a range of 1 ≤ h(x) ≤ 25 and that h(8) = 19 and h(-2) = 2, select the statement that could be true for h.
A.
h(2) = 16
B.
h(-3) = -1
C.
h(8) = 21
D.
h(13) = 18

Answers

Option A. The statement that can be said to be true for h is h(2) = 16

How to get the domain

If we look at the domain and range, we can rule out some straight away.

For h - 3 = -1

this is outside of the range of the such that -1 ∉ 1 ≤ hx ≤ 25

When h is 13 = 18

This is also outside of the domain such that 13 ∉ -3 ≤ x ≤ 11

When h is 8 = 21

there is going to be a contradiction with what the question has stated earlier. This is because we are told that h(8) = 19

Therefore on h(2) = 16

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Help Please! Will give brainlest!

Answers

Answer:

[tex] = \frac{10}{0.2} = \frac{100}{2} = 50 \\ = \frac{10}{0.02} = \frac{1000}{2} = 500 \\ = \frac{10}{0.002} = \frac{10000}{2} = 5000 \\ \\ [/tex]

hopefully that will help u

Jacob wants to prove that AFGH = A/KL using SAS.
He knows that FG = J and F = J. What additional
piece of information does he need?

Answers

The piece of information does he need is  ∠F ≅ ∠J.

What is triangle?

A triangle is a polygon with three sides having three vertices. The angle formed inside the triangle is equal to 180 degrees. It means that the sum of the interior angles of a triangle is equal to 180°. It is a polygon having the least number of sides.

Properties of triangle?

A triangle has three sides, three angles, and three vertices.The sum of all internal angles of a triangle is always equal to 180°. This is called the angle sum property of a triangle.The sum of the length of any two sides of a triangle is greater than the length of the third side.

Given,

ΔFGH = ΔJKL

By SAS property of triangle;

[tex]\bar{FH}[/tex] ≅ [tex]\bar{JL}[/tex],     FG ≅ JK

third property ,

                         ∠F = ∠J

By SAS property at least two side their ratio must be equal and one angle.

[tex]\frac{FG}{JK} = \frac{FH}{JL}[/tex]

∠F = ∠J

So, option A is correct.

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Solve for x if log(x - 1) + log(x + 1) = log21​

Answers

Answer: [tex]x=\pm \sqrt{22}[/tex]

Step-by-step explanation:

[tex]\log(x-1)+\log(x+1)=\log 21\\\\\log((x-1)(x+1))=\log 21\\\\\log(x^2-1)=\log 21\\\\x^2-1=21\\\\x^2=22\\\\x=\pm \sqrt{22}[/tex]

Answer:

sqrt(22) = [tex]\sqrt{22}[/tex]

Step-by-step explanation:

we can use the logarithm rule, "log x + log y = log(xy)" to solve this problem

log(x-1) + log(x+1) =  = [tex]log((x-1)(x+1))[/tex] = log(21)

this means that x^2 - 1 equals 21

xx-1 = 21

xx=22

x=sqrt(22)

PLEASE HELP ME ASAP!!!
The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.


2 0, 1, 4
3 1, 2, 6
4 1, 3, 7
5 1, 1
6 5
Key: 3|2 means 3.2


What is the mean, and what does it tell you in terms of the problem?

Answers

The mean of the data is 3.85 using the stem-and-leaf plot.

It means the average feet that the heavy ball was thrown is 3.85 feet, which is the typical number.

How to calculate the Mean of a Data?

To find the mean of a data set that is represented by a stem-and-leaf plot, first, list out all the data values that are represented on the stem-and-leaf plot, add all the values, and divide by the number of values that were represented on the stem-and-leaf plot.

Given the stem-and-leaf plot, using the key, the data points represented are:

2.0, 2.1, 2.4, 3.1, 3.2, 3.6, 4.1, 4.3, 4.7, 5.1, 5.1, 6.5

Mean = [2.0 + 2.1 + 2.4 + 3.1 + 3.2 + 3.6 + 4.1 + 4.3 + 4.7 + 5.1 + 5.1 + 6.5]/12

Mean = 46.2/12

Mean = 3.85 feet

The mean of 3.85 feet means that the average distance that the heavy ball was thrown in feet is 3.85.

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Solve the equation for y in terms of x
8x=1-3y
enclose numerator and denominators in parentheses

Answers

The value of y in the equation in term of x is y= (1-8x)/(3)

What are algebraic equations?

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. For example, 8x = 1-3y is an algebraic equation with two variables x and y with coefficient 8 and 3 respectively and 1 is the constant.

The value of y can there be solved by firstly making 3y the subject of formula

3y= 1-8x

dividing both sides by 3

3y/3= (1-8x)/3

therefore y= (1-8x)/(3)

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What is the x-intercept of the line with the equation 7x+4y=-28?

Answers

Answer x intercept is -4

Step by step

Substitute 0 for y and solve for x

7x + (4)(0) = -28

Divide both sides by 7 to solve for x

7/7 x = -28/7

x = -4
Answer: x=-4

Explanation: to find the X intercept you need to make y=0 which basically eliminates the 4y leaving you with 7x=-28 then you just divide both both sides by 7 which leaves you at x=-4

The population of a city can be modeled using the formula P=100,000e^(0.05t), where t is the number of years after 2012 and P is the city's population. Which of the following equations can be used to find the number of years after 2012 that the population will triple to 300,000?
Group of answer choices
t=3/(0.05e)
t=ln3/0.05
t=(ln200,000)/0.05
t=log3/0.05

Answers

The equation that can be used to find the number of years after 2012 that the population will triple to 300,000 is option B  t = ln(3) / 0.05

Given,

The population of a city can be modeled using the formula P=100,000e^(0.05t)

t is the number of years after 2012

P is the population of the city

We have to find the equation that can be used to find the number of years after 2012 that the population will triple to 300,000.

Here,

Substitute 300000 in for P and solve for t

300000=100000e^0.05t

Divide both sides by 100000:

We get,

3 = e^0.05t

Multiply both sides by the natural log (ln)

Then,

ln(3) = 0.05t

Now, divide 0.05 on both sides to get t by its self

t = ln(3) / 0.05

Therefore,

The equation that can be used to find the number of years after 2012 that the population will triple to 300,000 is option B  t = ln(3) / 0.05

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Identify the function shown in this graph. 3 17 3 2 12 1 1 2 3 4 5 A. y=-3x +3 B. y = -3x-3 PLEASE HELP ME ANSWER THIS I WILL GIVE 30 POINTS AND A BRAINLYEST​

Answers

Answer:

It's B. A good way to look at it is the last number. The last number is the y-intercept. Here the y-intercept is -3. That's how I would always figure it out.

9x^7/3x^2=3x^9 true or false

Answers

Answer:

False

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

given

[tex]\frac{9x^7}{3x^2}[/tex]

= [tex]\frac{9}{3}[/tex] × [tex]\frac{x^7}{x^2}[/tex]

= 3 × [tex]x^{(7-2)}[/tex]

= 3[tex]x^{5}[/tex]

I need answer asap thank you​

Answers

The measure of ∠QTS = 58°

Given; A triangle QPR

PQ = PR

this means that ∠ Q = ∠ R

and QR = QT this means ∠ R = ∠ T

And ST ║ QR

and QT is the transversal

From the above mentioned information we can conclude that

∠QTS = ∠TQR -------------- 1

Thus since ∠ Q = ∠ R  

by using angle sum property of triangle we can conclude that

∠ Q + ∠ R = 116  [ exterior angle sum property ]

2 ∠ Q = 116

∠ Q = 58°

this means ∠ TQR = 58°

And from 1 we know that this angle is equal to angle QTS

Thus ∠QTS = ∠TQR = 58°

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Which of the following examples would be continuous data?
How many people are late boarding an airplane?



The amount of diapers a newborn uses in a day.



The number of television shows on Netflix.



The volume of liquid in a pop can.

Answers

The example that would be continuous data is A. The volume of liquid in a pop can.

What is a continuous data?

Continuous data is data that has no fixed value. Continuous data includes height, weight, temperature, and length. Some continuous data, such as a baby's weight in its first year or the temperature in a room throughout the day, will change over time.

Discrete data is a type of numerical data that consists of whole, concrete numbers that have specific and fixed data values determined by counting. Continuous data consists of complex numbers and varying data values measured over a specific time period.

In this case, the volume of the liquid is s continuous data.

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Jasenio is shooting target practice with a bow and arrow. His target is a paper rabbit that runs along a track. The track is 50 meters away from Jasenio and he estimates that by the time the arrow reaches it, the paper rabbit will be at a point about 10 meters to the right of what would be directly in front of him. At what true bearing should Jasenio aim his bow and arrow?
a) 3.49°
b) 11.31°
c) 78.46°
d) 78.69°

Answers

The true bearing at which Jasenio should aim his bow and arrow is; b) 11.31°

How to apply Trigonometric Ratios?

We have different trigonometric ratios such as;

sin θ = opposite/hypotenuse

cos θ = adjacent/hypotenuse

tan θ = opposite/adjacent

We are told the track is 50 meters away from Jasenio and that by the time the arrow reaches it, the paper rabbit will be at a point about 10 meters to the right of what would be directly in front of him.

This means that there will be a right angle triangle formed with the height as 50 m and the base length as 10m. Thus, by trigonometric ratios, we have;

tan θ = 10/50

where θ is the true bearing angle. Thus;

tan θ = 0.2

θ = tan⁻¹0.2

θ = 11.31°

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Find two positive numbers whose difference is 20 and whose product is 429.

Answers

The work and steps are shown in the image.Can I get a Brainly pls

already answered 1 and 2. i think 3 is "definition of midpoint". is this correct? what are the other two? thank you​

Answers

1) Given
2) I think the statement is wrong
3) def. Of midpoint
4) Reflexive postulate
5) the statement is wrong

At the toaster company, the weekly cost to run the factory is $1400 and the cost of producing each toaster is an additional $4 per toaster. Find a function rule representing the weekly cost in dollars, f(x), of producing x toasters. ​

Answers

Answer:

I believe... f(x)=1400+4x

Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
g(x) = square root 49 - x squared

Answers

The critical number are 0, 7 , -7.

Given function:

g(x) = [tex]\sqrt{49-x^{2} }[/tex]

first derivative is,

= -x/([tex]\sqrt{49-x^{2} }[/tex] )

-x = 0 or x = 0

[tex]\sqrt{49-x^{2} }[/tex] = 0

49 - [tex]x^{2} =0[/tex]

49 = [tex]x^{2}[/tex]

x = 7 , -7.

Therefore the critical number are 0, 7 , -7.

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The cost to rent a frozen yogurt machine is $150 per day plus $25 per hour of use.
Which inequality can be used to determine the maximum number of hours h the
frozen yogurt machine can be used if the rental cost for the day will not exceed $300?

Answers

The inequality that can be used to determine the maximum number of hours h the frozen yogurt machine can be used if the rental cost for the day will not exceed $300 is 150+25h ≤300.

According to the question,

We have the following information:

The cost to rent a frozen yogurt machine is $150 per day plus $25 per hour of use.

And h represents the number of hours.

So, we have the following expression to find the total cost:

150+25h

Now, it is given that the total rental cost should not exceed $300.

So, we have the following inequality:

150+25h ≤300

Hence, the correct option is C.

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calculate the distance between two points a(-9,-10) and b(0,-10)

Answers

Answer:

The distance between two points on a 2D coordinate plane can be found using the following distance formula. d = √ (x2 - x1)2 + (y2 - y1)2. where (x 1, y 1) and (x 2, y 2) are the coordinates

Step-by-step explanation:

Explain in detail the difference of a linear, quadratic, and geometric relationships between two variables.

Answers

The difference of a linear, quadratic reation.

What is quadratic equation?

it's a second-degree quadratic equation which is an algebraic equation in x. Ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term, is the quadratic equation in its standard form. A non-zero term (a 0) for the coefficient of x2 is a prerequisite for an equation to be a quadratic equation.

Trigonometric ratios describe these operations. The ide and trigonometric functions In the previous chapters, we discovered that the polynomial equation is the equation that results from equating a polynomial function to zero. A linear equation results from equating a function to zero if it is a linear polynomial. We get a quadratic equation if the function is a quadratic polynomial.

When we graph a linear equation, we get a straight line, however with a quadratic equation, we get a parabola.

Unlike the slope of a linear polynomial, the slope of a quadratic polynomial is constant.

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Question 8 (1 point)
The selling price of a widget is $15 and the fixed cost per month is $4,800. The variable cost per widget is $9. Calculate the
contribution margin rate.
0000
b
C
d
Question 8 of 20 | Page 8 of 20
40%
60%
30%
50%

Answers

The contribution margin rate is 40%.

What is contribution margin rate?

A company's contribution margin rate is the total revenue minus variable costs divided by the revenue.

First we need to determine the contribution margin in order to calculate the contribution margin rate. There are two approaches to determine the contribution margin.

Contribution Margin = Net Sales Revenue – Variable CostContribution Margin = Fixed Costs + Net Income

Contribution Margin = $15 - $9 = $6

The contribution margin is $6.

Now we will calculate the contribution margin rate using this formula,

Contribution Margin Rate = Contribution Margin [tex]/[/tex] Sales Revenue

Contribution Margin Rate = $6 / $15

                                             = 0.4 * 100

                                             = 40%.

Hence the contribution margin rate is 40%.

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Question
Estimate the mean of the number of points deducted from each student on an economics test given in the follow
grouped frequency table.
• Round the final answer to one decimal place.

Value Interval
0-3
4-7
8-11
Frequency
12
20
8

Answers

According to the following frequency table, the mean of the number points deducted from each student on an economics is 5.1

Frequency table:

Frequency table means the method of organizing raw data in a compact form by displaying a series of scores in ascending or descending order, together with their frequencies—the number of times each score occurs in the respective data set.

Given,

Here we need to determine the mean of the number of points deducted from each student on an economics test given in the follow grouped frequency table.

For the given table of data, the frequency table of the data is attached below.

In order to find the mean of the frequency table we have to use the following values,

The total frequency is 204

And the number of frequency is 40.

So, the mean is

=> 204/40

=> 5.1

Therefore, the mean of the data is 5.1

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HOME Realty claims that it can sell a detached, residential house faster than any other realty company. With the aim of examining HOME's claim, you sample 20 customers who sold a detached, residential house through HOME and record the selling times (in days) of the houses. Your data are summarized below:


Selling Time Frequency

0 10 3

10 20 4

20 30 6

30 40 4

40 50 3



Find the proportion of selling times in the sample that are less than 20 days claims that it can sell a detached, residential house faster than any other realty company.

Answers

The proportion of selling times is 0.35

From the question, we have

Selling Time___ Frequency

0 10____________3

10 20__________ 4

20 30__________ 6

30 40__________ 4

40 50__________ 3

Proportion of selling times in sample above that are less than 20 days :

total frequency = (3 + 4 + 6 + 4 + 3) = 20

Selling time which is less Than 20 days :

(0 - 10) = 3

(10 - 20) = 4

Total = (3 + 4) = 7

Proportion = selling time less Than 20 days / total frequency

= 7 / 20

= 0.35

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts, Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

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The cost to attend a public university in a recent year is $16,241. The circle graph to
the right shows the percentage of that cost for tuition/fees, room, board, and
computer costs. Determine the cost, in dollars, for each category.
The cost of tuition and fees is $.
(Round to the nearest cent as needed.)
The cost of room is $.
(Round to the nearest cent as needed.)
The cost of board is $.
(Round to the nearest cent as needed.)
The computer costs are $
(Round to the nearest cent as needed.)
Cost to Attend a Public University
Tuition/Fees 36.9%
Room 31.5%
Board 24.9%
Computer costs 6.7%

Answers

Answer:

Tuition and Fees = $5,992.93

Room = $5,115.92

Board = $4,044.01

Computer Costs = $1,088.15

At a fast food restaurant, customers are asked if they want to "round up" their bill to the next highest dollar and
donate the additional money to charity. The cashier is instructed to tell the customer that their bill is X dollars and Y
cents. Assume that the values of Y are equally likely to be any value from 0 to 99 cents and that customers are equally
likely to "round up" regardless of the amount of their bill. The density curve below models Y, the donation amount.
(a) What is the shape of the distribution of donations?
Amount of donation (cents)
(b) What proportion of donations are at least 75 cents?

Answers

(a) The shape of the distribution of donations is rectangular.

(b) The proportion of donations are at least 75 cents id 0.24

(a)The density curve is rectangular in shape.

This indicates that donations are distributed uniformly.

(b) From the question, we have

The probability of donations at least 75 cents as follows:

[tex]P(X\geq 75) =\int\limits^a_b {\frac{1}{99-0} } \, dx \\[/tex]

Substituting the limits,  we get

[tex]P(X\geq 75) =\frac{99-75}{99} \\=\frac{24}{99} \\=0.24[/tex]

Probability:

Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

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How do I factor 250n2 + 20n8?

Answers

Step-by-step explanation:

[tex]250n^2+20n^8[/tex]

common factor is [tex]10n^2[/tex]:

[tex]10n^2(25 +2n^6)[/tex]

rearrange:

[tex]10n^2(2n^6+25)[/tex]

How do you solve -110 + 96

Answers

Answer: -14

Step-by-step explanation:

−110+96

Add −110 and 96 to get −14.

−14

Answer: -14

Step-by-step explanation:

In this case, it's best you bring out the negative

- (110 - 96)

- (14)

= -14

Considering the following statements, what is X → Z? X → Y: If the sum of the interior angles of a shape is 180°, then it's a triangle. Y → Z: If a shape is a triangle, then it has three sides. Question 4 options: A) X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides. B) X → Z: If a shape has three sides, then it's a triangle. C) X → Z: If a shape has three sides, then the sum of the interior angles of the shape is 180°. D) X → Z: If the sum of the interior angles of a shape isn't 180°, then it doesn't have three sides.

Answers

The correct statement that is a combination of both conditional statements is;  X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.

How to interpret conditional statements?

A triangle is defined as a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees.

We are given the conditional statements as;

X → Y: If the sum of the interior angles of a shape is 180°, then it's a triangle.

Y → Z: If a shape is a triangle, then it has three sides.

Now, transitive property states that “if two quantities are equal to a third quantity, then we can say that all the quantities are equal to each other”.

Thus, applying transitive property to our given statements we can say that;  X → Z: If the sum of the interior angles of a shape is 180°, then it has three sides.

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(a) pressure increases with height in the stratosphere on the four giant planets. (b) temperature decreases with height in the troposphere on the four giant planets. (c) pressure decreases with height in the troposphere on the four giant planets. (d) temperature increases with height in the stratosphere on the four giant planets. During a fire emergency, what is the very first action you should take according to the race/racer/racee fire protocol?. Select the correct answer.What is the domain of function f? 19.in the context of molecular genetics, how does one reconcile the terms overlapping genes and nonoverlapping code? please help me with thisthank youwrite your interpretation of the editorial cartoon below. write your answers in 3-5 sentences. -2/9 x -1/9 x (expanding expressions) kenny, inc., is looking at setting up a new manufacturing plant in south park. the company bought some land six years ago for $5.3 million in anticipation of using it as a warehouse and distribution site, but the company has since decided to rent facilities elsewhere. the land would net $7.4 million if it were sold today. the company now wants to build its new manufacturing plant on this land; the plant will cost $26.5 million to build, and the site requires $1.32 million for an access road to a major highway. what is the proper cash flow amount to use as the initial investment in fixed assets when evaluating this project? why? profit margin for an investment center measures: multiple choice investment center income earned per dollar of sales. how efficiently an investment center generates sales from its invested assets. investment center income compared to target investment center income. departmental contribution to overhead. investment center income generated from its invested assets. a patient admitted to the intensive care unit after an abdominal aortic aneurysm resection has a pulmonary artery catheter with readings of pulmonary artery diastolic pressure (padp): 14; pulmonary artery wedge pressure (pawp): 18; and central venous pressure (cvp), 17. the patient's heart rate is 110 beats/minute and iv fluid running at 150 ml/hr. which health care provider orders would the nurse anticipate receiving? what role can be played by a highly competent national subsidiary located in a strategically critical market? What sentence represents this equation?8=17-28 is the same as 17 decreased by a number08 is the same as a number decreased by 17.O A number is the same as the difference of 17 and 8O 17 decreased by 8 is the same as a number. read each statement and determine if it is true or false. a. a monopolistic competitor, much like a firm in perfect competition, sells its product at a point where the price is equal to the marginal cost. true false Simplify completely. 3x+18 divided 18 seven new employees, two of whom are married to each other, are to be assigned seven desks that are lined up in a row. if the assignment of employees to desks is made randomly, what is the probability that the married couple will have adjacent desks? (round your answer to the nearest tenth of a percent.) the probability that the couple has adjacent desks is %. what is the probability that the married couple will have nonadjacent desks? (round your answer to the nearest tenth of a percent.) the probability that the couple has nonadjacent desks is How do you calculate this? Daniela needs to rent a car while on vacation. The rental company charges $19.95, plus 18 cents for each mile driven. If Daniela only has $50 to spend on the car rental, what is the maximum number of miles she can drive?Daniela can drive a maximum ofgoing over $50. Round your answer to the nearest mile.miles without the cost of the rental after collecting the historical data from a process of filling coca-cola bottles, it was found that the variance in the filling process is constant. however, clogs in the machine often affect the average volume. the historical standard deviation is 5 ml. in filling 250 ml bottles, a sample of 20 bottles found an average of volume of 246 ml. create a 95% confidence interval for the average volume of coca-cola in a bottle. can you conclude from your results that the manufacturer needs to adjust the equipment to meet the standard? Alan has 229 songs on a playlist. He's categorized them in the following manner: 11 rock, 21 Latin American, 46 gospel, 30 country, 39 rap, 25 classical, and 57 pop. If Alan begins listening to his playlist on shuffle, what is the probability that the first song played is a rock song? Read Shakespeare's "Sonnet 100.Where art thou, Muse, that thou forget'st so longTo speak of that which gives thee all thy might?Spend'st thou thy fury on some worthless song,Darkening thy power to lend base subjects light?Return, forgetful Muse, and straight redeemIn gentle numbers time so idly spent;Sing to the ear that doth thy lays esteemAnd gives thy pen both skill and argument.Rise, resty Muse, my love's sweet face survey,If Time have any wrinkle graven there;If any, be a satire to decay,And make Time's spoils despised every where.Give my love fame faster than Time wastes life;So thou prevent'st his scythe and crooked knife.What is the central idea of the third quatrain?If you see my love aging, work against it.Do not be lazy; we are all running out of time.Make fun of time, and turn people against it.Write something to ridicule my loves wrinkles. 3x 5 or -3/5x-3>7 solve the compound inequality