A gas station is open 365 day a year, 24 hours a day. The store owner estimates that they served 40,000 cups of coffee last year. This quantity can also be expressed asfunctionsequation editorcups of coffee per hour (round to the nearest whole cup). This is a ? reasonable not reasonable estimate.

Answers

Answer 1

The quantity can also be expressed as a function equation in cups of coffee per hour is; f(x) = 5x

How to Solve function word problems?

We are told that a gas station is open for the 365 days of the year and 24 hours each day.

Thus,

Total number of hours in the year = 365 * 24 = 8760 hours

Now, the number of cups they served for the year = 40000 cups

Now, the rate of cups per hour = 40000/8760 = 4.566 ≈ 5 cups per hour

The quantity can also be expressed as a function equation in cups of coffee per hour; f(x) = 5x

where;

x is the number of hours

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Related Questions

Jack's Car Rental rents out cars, trucks, and SUVs to both individuals and to businesses. For the month of June, they rented out 29 cars, 9 trucks, and 16 SUVs to individuals. They also rented out 13 cars, 22 trucks, and 4 SUVs to businesses. Which of the following matrices could represent this information?

Answers

The matrix that represents this information is

| 29  9   16 |

| 13  22   4 |

How to determine which matrices can represent the information?

Matrices (singular matrix) are rectangular arrays or tables where numbers or elements are arranged in rows and columns

Given that:

For the month of June, they rented out 29 cars, 9 trucks, and 16 SUVs to individuals. They also rented out 13 cars, 22 trucks, and 4 SUVs

A defined above, matrices can be viewed as a table. Thus, we can write:

Cars    Trucks   SUVs

29          9           16

13          22           4

In matrice form:

| 29  9   16 |

| 13  22   4 |

Therefore, the matrix that represents this information is

| 29  9   16 |

| 13  22   4 |

Option D. is the answer

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please help solve! cannot find answer and i’m trying to work on math

Answers

Answer: 19/21>8/9

Step-by-step explanation:

common denominator is 63

19*3=57 so thats 57/63

8*7=56 so thats 56/63

what are all of the equivalent ratios to 4.5

Answers

Answer:

The two equivalent ratios of 4:5 are 8:10 and 12:15.

Step-by-step explanation:

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8 : 10 and 12 : 15.

Classify each pair of numbered angles.

Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.



[Linear pair ] [ vertical ] [ adjacent ] [none of these ]

Answers

Based on the image given above, the angles that are numbered can be classified as:

∠1 and ∠2: vertical angles

∠3 and ∠4: adjacent angles

What are Adjacent Angles?

Angles that share the same vertex and also the same side, are said to be angles that lie next to each other which are called adjacent angles.

For example, the angles in the image given that are numbered as 3 and 4, share the same vertex and a common side. Therefore, they are adjacent angles.

What are Vertical Angles?

If two angles are formed to lie directly opposite to each other when two lines intersect at a point, the angles share a common point but do not share a common side. These set of angles are called vertical angles.

For example, in the image given, angles 1 and 2 are vertical angles.

Therefore, the angles would be classified as:

Angles 1 and 2: vertical angles

Angles 3 and 4: adjacent angles

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Answer:

3 and 4 are adjacent angles, and 1 and 2 are vertical angles.

Step-by-step explanation:

vertical angles are across from each other while adjacent is next to each other. the other person's explanation is better than mine though. :')

(7x³ + x² + x) divided by (x² + 1)

Answers

Answer:

Q=7x+1, R=-6x-1

Step-by-step explanation:

 7x + 1

 ----‐----------------------------

 x² + 1 | 7x^3 + x^2 + x

 -) 7x^3 +7x

---‐---‐----------------------------

 x^2 -6x

 -) x^2 +1

 --------------------

 -6x-1

suppose a random variable has population standard deviation 29.5. what is the margin of error corresponding to the 95% confidence interval for a sample mean constructed from a sample of size 53?

Answers

The margin of error corresponding to the 95% confidence interval for a sample mean constructed from a sample of size 53 is 7.94.

Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.

MOE = z x (SD / √n)

where MOE = margin of error

z = found by using a z-score table

SD = sample standard deviation = 29.5

n = sample size = 53

At 95% confidence level, the area in each tail of the standard normal curve is 2.5, and the cumulative area up to the second tail is 97.5.

(100 - 95) / 2 = 2.5

100 - 2.5 = 97.5

Find 0.975 in the z-table to get the value of z.

At p = 0.975, z = 1.96

Plug in the values to the formula and solve for the margin of error.

MOE = z x (SD / √n)

MOE = 1.96 x (29.5/√53)

MOE = 7.94

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ANSWER PLEASE
This scatter plot shows the number of siblings 14 students have and each student's grade level.
scatter plot shows the scores of 11 students that took the college algebra final exam and the hours they studied.

Choose the conclusion that is best supported by the data shown in the scatter plot
As hours spent studying increases, grades on the college algebra final exam increase.
As hours spent studying increases, grades on the college algebra final exam increase.

As hours spent studying increases, grades on the college algebra final exam decrease.
As hours spent studying increases, grades on the college algebra final exam decrease.

As hours spent studying increases, grades on the college algebra final exam stay the same.
As hours spent studying increases, grades on the college algebra final exam stay the same.

There is no relationship between the grade on the college algebra final exam and hours spent studying.

Answers

Answer:As hours spent studying increases, grades on the college algebra final exam increase.

Step-by-step explanation:

Multiply the following 2 polynomials

(9 + 2x)(9 - 2x)

Answers

Start by multiplying
9x9=81
2x2=4
Answer 81-4x^2

The graph shows the relationship between temperature y (in degrees
Fahrenheit) and altitude x (in thousands feet).
a. Find and interpret the slope of
the graph.
b. Write an equation of the line.
c.Interpret the x-intercept of the graph

Answers

Answer:answer will be more exact than the point you found in the first part

Step-by-step explanation:temperature in degrees Fahrenheit,

degrees Celsius

20

40

60

80 100 120 140 160 180 200 220 240

degrees Fahrenheit

a. Mark the point on the graph that shows the temperature in Celsius when it is 60

degrees Fahrenheit

b. Mark the point on the graph that shows the temperature in Fahrenheit when it

is 60 degrees Celsius.

c. Water boils at 100 degrees Celsius. Use the graph to approximate the boiling

temperature in Fahrenheit, or to confirm it, if you knew what it is.

d. The equation that converts Celsius to Fahrenheit is C = (F - 32). Use it to

calculate the temperature in Celsius when it is 60 degrees Fahrenheit. (This

answer will be more exact than the point you found in the first part

i honestly don’t know how to do this and if anyone could help it would be appreciated

Answers

We are looking for a distance, and so we need to calculate the circumference first. The circumference is the distance around the circle.

Circumference formula:

C=2r

Input radius value:

C=2(5)

Simplify:

C=31.414

So, the circle is 31.414mm in length.

Now, we need to find a fraction of this length. Remember, an arc is a fraction of the circle. We know a circle is 360° and the given arc is 232.° So, we can are looking for 232/360 of the circle’s circumference.

Arc length=232/360•31.414

Arc length=20.244

The billed arc length is about 20.244mm.

All we did was take a fraction of the circumference. The fraction was found because we are given 232 degrees out of 360, and degrees form arcs.



Colleen took out a $48,000 student loan with a fixed interest rate to pay for college. Colleen did not make payments on her loan for a period of 7 years. After this time period interest had accrued, resulting in the loan balance increasing to $78,000. a. What is is the 7-year growth factor for the amount that Colleen owes on the loan? Preview b. What is the 7-year percent change for the amount that Colleen owes on the loan? % Preview c. What is is the 1-year growth factor for the amount that Colleen owes on the loan? Preview d. What is the 1-year percent change for the amount that Colleen owes on the loan? % Preview Submit

Answers

a)The 7-year growth factor for the amount on the loan is $4285.71 b)  7-year percentage change for the amount is 6.25% c) 1-year growth factor for the amount $612.244 and d) 1-year percent change for the amount is 0.894%.

a)We know very well that growth factor is ratio of difference of principal amount and loan amount to the time taken, or

Growth factor=(Final loan amount-Initial loan amount)/Total time

=>Growth factor=(78,000-48,000)/7

=>Growth factor=30,000/7=$4285.71

b)To find the percentage change in amount, we need to use initial loan amount and the difference between two amounts, or

 percentage change=((78000-48000)/48000)×100

=>percentage change=[(30000)/48000)]×100

=>percentage change=300/48=6.25%

c)Now, we have already find the growth factor for 7 years, we need to find growth rate in 1 year. So, we use unitary method to find it

=>In 7 years growth factor is=$4285.71

  ∴In 1 years growth factor is=$4285.71/7=$612.244

d)In 7 years percentage change for the given amount is =6.25%

∴In 1 year percentage change for the given amount=6.25/7=0.894%

Hence, answers are a)$4285.71 b)6.25% c)$612.244 d)0.894%

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Tyrone likes to snack on his big bag of candy. He takes 8 pieces of candy from the bag each time
he snacks. After he has snacked 18 times, there
are only 6 pieces of candy remaining in the bag.
The number c of pieces of candy remaining in the bag is a function of s the number of snacks
Tyrone eats.
Write the function's formula.
C =

Answers

Answer:

c = s - (8×18)

Step-by-step explanation:

S = 8×18+6 = 150

c = s - (8×18)

what is the coefficient of -2 and -3

Answers

Answer:

The coefficient of -2 and -3 is -6.

PLS HELP ASAP>>>>>>Write an equation in slope-intercept form for the line that passes through (3,1) and (1,2). Pls show work

Answers

The equation in slope-intercept form is found as; y = -x/2 + 5/2.

State the equation in slope-intercept form?When you understand the slope of a line to be investigated and the given point is also the y intercept, you can utilize the slope intercept formula, y = mx + b. (0, b). The y frequency of the y intercept position is denoted by the symbol b in the formula.

For the stated question.

Two point are-

(x1, y1) = (3,1)

(x2, y2) = (1,2)

Thus,

slope m = (y2 -y1)/(x2 - x1)

m = (2 - 1)/(1 - 3)

m = -1/2

Equation of line;

y - y1 = m(x - x1)

y - 1 = (-1/2)(x - 3)

y = -x/2 + 5/2

Thus, the equation in slope-intercept form is found as; y = -x/2 + 5/2.

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3. Select all that apply. Which of the following are equal to 600?
A. 400 increased by 50%
B. 500 increased by 25%
C. 300 increased by 75%
D. 800 decreased by 25%

Answers

The answer's are A and D!

Let me know if I'm right please!

An adult ticket to a museum costs $3 more than a children's ticket. When 200 adult tickets
is $2100. What is the cost of a
and 100 children's tickets are sold, the total revenue
children's ticket?

Answers

adult: $10.50
children: $7.50, the total revenue would be $750

i divided 2100 and 200 to get 10.5, and since the adult ticket is three dollars more than the children’s ticket, it would be 7.5. multiply that by 100, you’ll have 750. hope this helped!

A rectangle has a perimeter of 48 inches. If twice the length decreased by three is equal to three times the width, then find the length and width.

1. Write a system of equations that will solve the problem
2. Define your variables
3. Solve the problems SHOW YOUR WORK
4. Sketch a graph of your solution

Answers

1) The system of equations to solve the given problem are:

2l-3=3b

2(l+ b)=48

2) The variables l and w stands for length and width, respectively.

3) Length l=15 and Width w=9

4) The graph of the solution is shown below:

What is meant by perimeter?

A perimeter is a closed path that covers, surrounds, or outlines a two-dimensional shape or a one-dimensional length.

The perimeter calculation has various practical uses. A calculated perimeter is the length of fencing required to encircle a yard or garden. The circumference of a wheel/circle specifies how far it will roll in one revolution. Similarly, the amount of string coiled around a spool is proportional to the spool's perimeter; if the length of the string were precise, it would equal the perimeter.

1) The system of equations to solve the given problem are:

2l-3=3b

2(l+ b)=48

2) Here the variables are l, w

The variables l and w stands for length and width, respectively.

3) Given, perimeter of the triangle=48 inches

2l-3=3b

l=(3(b+1))/2

So, 2(l+ b)=48

3b+3+2b=48

5b=45

b=9

l=(3(10))/2

l=15

Therefore, length l=15 and width w=9

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Which graph represents function?

Answers

(My butt cheeks). Aka 3rd graph

Can someone help me figure this out, i’ve been stuck on this question for an hour.

Answers

According to the given statement the function representing the points relation is f(x) = 32(3x - 1)

What are the different kinds of functions?

An statement, rule, or law in mathematics that establishes the link between an independent variable and a predictor variables (the dependent variable). Equations may be found all around arithmetic, and they are essential for building physical connections in the sciences. A mappings between A and B will only be a function if every member in set A only has end and only 1 photo in set B. Where A & B even be two separate sets.

Briefing:

Depicts a few points within the graph of the linear function f given a table.

x = -2, 1, 5, 10

f(x) = -224, 64, 448, 928

From option first,

f(x) = 32(3x - 1)

Put x = -2

= 32(-2x3-1)

= 32x(-7) = -224

Consequently, f(x) = 32 is the function used to express the points connection (3x - 1)

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if the mean of 5 values equals 64, then what is the ∑x?

Answers

If the mean of the five values is equals to 64 then the sum of x values i.e., ∑x is 320.

Arithmetic mean:

Arithmetic mean is simply called mean or average. To calculate the arithmetic mean of a set of values, we need to add all the values and then divide the sum by the number of values in the set.

X-bar = ( a + a + -----+ a )/n

Here, there are n items in the set, and each item is represented by one of the a's.

We have given that,

Mean of 5 values , X-bar = 64 , n = 5

we have to calculate the sum of x i.e ∑x

Using Arithmetic mean formula,

sum of x , ∑x = X-bar × n , where x is five values

so, ∑x = 64 × 5 = 320

Hence, the sum of x values is 320.

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PLEASE HELP ME WITH THIS PROBLEM!!!!!!

Answers

Answer:

720

Step-by-step explanation:

100/5 = 20, so 20 tires made in 1 hour and 20 x 36 would be 720 so answer is 720

While playing a game with her friends, Ellen scores 12 points less than twice the lowest score. She scored 98. What was the lowest score in the game?

Answers

if she scores 98 and the lowest is 12 down the lowest is 86

the length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes what is the probability that a student will take no more than 40 minutes to complete fie examination? select one: a. 0.10 b. 0.00 c. 0.15 d. 0.05

Answers

The probability that a student will take no more than 40 minutes to complete tee examination is 0.00.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given:

The length of time it takes students to complete a statistics examination is uniformly distributed and varies between 40 and 60 minutes.

We have to find the probability that a student will take no more than 40 minutes to complete the examination.

As the time required to complete the statistics examination is uniformly distributed and varies between 40 and 60 minutes so no any student will take less than 40 minutes to complete the examination.

P(X ≤ 40) = 0   where 40 ≤ x ≤ 60

Hence, the probability that a student will take no more than 40 minutes to complete tee examination is 0.00.

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Write the equation of the given line in slope-intercept form.

Answers

Answer:

SO... y=3x+0b

Or... y = -3x+0b

Step-by-step explanation:

Consider the equation xy = 0 In this equation, variables are multiplied and the result is Can the equation be true neither variable is equal to ? Can the equation be true only one variable is equal to 0If so, which one needs to be equal to Can the equation be true if both variables are equal to ? What process could you use to solve equations of the form (x + a)(x + b) = 0 In this case there are only two factors (values being multiplied ) that are being set equal to How would you solve the equation if there were more than two factors ? Explain

Answers

Answer: 1+1

Step-by-step explanation:

I not giving

Be sure to show your work where possible-failure to show work will result in
deduction in grade
We know that modern medicine is rich with biology, chemistry and countless other
branches of science. While mathematics does not make a lot of headlines for changing
the way we think about our health and well-being, there are many ways in which
mathematics is informing and improving the way scientists and doctors approach the
world of medicine.
Consider the following data for a group of 2000 women. Of these women, 16 are known
to have breast cancer. All 2000 undergo the same test to determine whether or not they
have breast cancer, and 154 test positive. 14 of the 16 that have breast cancer test
positive and 140 of those that do not have breast cancer test positive.
1. Based on the data presented above, do you think the test for breast cancer is
effective at identifying women who have breast cancer?

Answers

The test for breast cancer is not effective at identifying women who have breast cancer.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

It is given that, out of 2000 women, 16 are known to have breast cancer.

But, through the test, the women who do not have breast cancer are also testing positive and the women who have breast cancer are also testing negative.

So, the test for breast cancer is not effective at identifying women who have breast cancer.

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how many ways can the letters of the word dancer be arranged in a row if d and a must remain together (in order) as a unit?

Answers

The number of ways the letters of the word DANCER can be arranged if D and A remain together is 120 ways .

In the question ,

it is given that the word is DANGER ,

the number of letters in the given word is = 6

it is given that the letters D and A are together ,

that means they are a single unit ,

So , the number of letters become = 5 letters

and  5 letters can be arranged in 5! ways ,

which can be simplified  as

5! [tex]=[/tex] 5 * 4 * 3 * 2 * 1 [tex]=[/tex] 120 ways

Therefore , the number of ways of arrangement is 120 ways .

The given question is incomplete , the complete question is

How many ways can the letters of the word DANCER be arranged in a row if D and A must remain together (in order) as a unit ?

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catalina multiplied 842 and 3 and got 3326.how did she check to see if her answer is reasonable?

Answers

Answer: Take 3326 and divide by 3

Step-by-step explanation: This will check to see if her answer is correct or not. If 3326 is divided by 3 and gets 842 then her answer is correct!

If you can please give me a Brainliest, I only need 2 more to become an Ace, thank you!

Answer:

3326 ÷ 3 = 1108.666667

Step-by-step explanation:Question: 842 x 3 = 3326?

Check:

Take the answer 3326, and divide it by 3, and we should get 842:

3326 ÷ 3 = 1108.666667

It does not equal 842.

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

Fifteen percent of cellphone users use their cell phones to access the Internet. In a random sample of 10 cell phone users, what is the probability that:

Exactly 2 have used their phones to access the Internet?

More than 2 have used their phones to access the Internet?

At least 8 have used their phones to access the Internet?

No more than 5 have used their phones to access the Internet?

Between 1 and 3 people, exclusive, have used their phones to access the Internet?

Answers

1) Probability that Exactly 2 have used their phones to access the Internet is; P(X = 2) = 0.2759

2) Probability that more than 2 have used their phones to access the Internet is; P(X > 2) = 0.1798

3) Probability that at least 8 have used their phones to access the Internet is; P(X ≥ 8) = 0.00001

4) Probability that no more than 5 have used their phones to access the Internet is; P(X ≤ 5) = 0.99862

How to solve binomial probability distribution?

The binomial probability is defined as the probability of exactly x successes on n repeated trials, with p probability.

The formula for binomial probability distribution is;

P(X = x) = nCx * p^(x) * (1 - p)^(n - x)

Where;

P(X = x) = binomial probability

x = number of times for a specific outcome within n trials

nCx = number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trials

1) We are given;

p = 15% = 0.15

n = 10

Thus;

P(X = 2) = 10C2 * 0.15^(2) * (1 - 0.15)^(10 - 2)

P(X = 2) = 0.2759

2) Probability that more than 2 have used their phones to access the Internet is;

P(X > 2) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)

Using binomial probability calculator, we have;

P(X > 2) = 0.1798

3) Probability that at least 8 have used their phones to access the Internet is;

P(X ≥ 8) = P(X = 8) + P(X = 9) + P(X = 10)

Using binomial probability calculator, we have;

P(X ≥ 8) = 0.00001

4) Probability that no more than 5 have used their phones to access the Internet is;

P(X ≤ 5) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X ≤ 5) = 0.99862

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The perimeter of a triangle is 204 feet. The longest side of the triangle is 39 feet shorter than twice the shortest side. The sum of the lengths of the two shorter sides is 46 feet more than the length of the longest side. Find the lengths of the sides of the triangle.

Answers

The triangle has lengths of 59 feet, 66 feet, and 79 feet.

How to calculate for the sides of the triangle.

Let us represent the length of the shortest side of the triangle with x feet, and that of the other shorter side with y feet

The longest side will be (2x - 39) feet

The length of the other shorter side will give us the equation;

y + x = 2x - 39 + 46

so that by subtracting x from both sides, we have

y = 2x - x + 46 - 39

y = (x + 7) feet

From the question,

x + x + 7 + 2x - 39 = 204 feet {which is the perimeter of the triangle}

4x - 32 = 204 {collect like terms}

4x = 203 + 32

4x = 236

x = 236/4

x = 59 feet

Therefore, as the length of the shortest side of the triangle is 48 feet,

the other shorter side is;

y = 59 + 7

y = 66 feet

and the longest side is;

2(59) - 39

118 - 39

79 feet.

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What did merrick garland, the attorney general, do last friday in two criminal investigations involving donald trump?. professor adachi is giving a lecture on the qualities that promote resilience. which statement are they least likely to make? Which is the correct use of the followingparticiple phrase:singing loudlyA. Singing loudly, a delicate, glass cup was shattered.B. Singing loudly, a glass cup broke.C. Singing loudly, she shattered a delicate glass cup. with what compound will nh3 experience only ion-dipole intermolecular forces? group of answer choices ocl2 licl ch3i c3h7oh sih4 the distance between the eyepiece and the objective lens in a certain compound microscope is 20.0 cm. the focal length of the objective is 0.500 cm, and that of the eyepiece is 1.70 cm. find the overall magnification of the microscope. or a monopoly, the marginal revenues per unit fall ___ the price per unit when the price ___, the monopoly gives up some revenue or units it could have sold at higher prices Which of the following particles compose the mass number of an atom? Select all that applyprotonneutronsisotopeselectrons what is the distance in mm between these minima if the diffraction pattern falls on a screen 1.2 m from the slit? At breakfat diner a cup of coffee cot$2. 75 and a muffin i $3. 25. What i the ale tax on the two item if the rate i 7. 5%? How does energy move in the food web picture?a-from zoo plankton to squidb-from elephant seal to squidc-from cod to phytoplankton a client with a history of peptic ulcer disease is diagnosed with rheumatoid arthritis. what medication will the nurse anticipate will be prescribed to produce an anti-inflammatory effect and protect the stomach lining? which maternal factor contributes to an infant having macrosomia, hypoglycemia, and hyperbilirubinemia? Why did Mama smash a cherished and expensive set of china?Life no longer had meaning with her husband gone.She did not want to allow the dealer to take advantage of her.She was frustrated that her husband was arrested. the nurse is caring for a client who is taking tetracycline for rocky mountain spotted fever. the nurse notices that the client has developed painful mouth ulcers. the nurse knows that the client has developed what adverse reaction to the medication? Use a Riemann sum with 4 rectangles of equal width to approximate the area between y=3x^(2)+1 and the x-axis on the interval -1,5. Use the left -hand endpoint of each subinterval. A researcher is attempting to determine which ethnic group is more likely to go to the movies at a movie theatre. The dependent variable is metric. Which of the following tests is most appropriate?analysis of variance chandni owns a frozen yogurt shop. due to fluctuations in seasonal demand, her business has struggled. if chandni fails to repay her bank loan, what will the lending institution do to recover its loss? what is not one of the five romance languages? Calculate the standard reaction entropy for the decomposition of 1 mol calcite to carbon dioxide gas and solid calcium oxide at 25c. Determine the range of the following graph