Which of the following is the product of the rational expressions shown below?

Which Of The Following Is The Product Of The Rational Expressions Shown Below?

Answers

Answer 1

[tex]\frac{3x^{2} }{x^{2} +x-6}[/tex] is the product of the rational expressions.

What are rational expressions?

Two polynomials' ratio is shown through rational expressions. It denotes a polynomial in the denominator as well as the numerator. It is an algebraic expression that contains an unknown variable and is similar to a fraction in that it is a ratio.

We are given [tex]\frac{3x^{2} }{x^{2} +x-6}[/tex]

This means that the expression has to be multiplied by the number 1 for obtaining the product of the rational expression.

We know that when anything is multiplied by the number 1, we get the number itself.

Hence, [tex]\frac{3x^{2} }{x^{2} +x-6}[/tex] is the product of the rational expressions.

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Related Questions

To indirectly measure the distance across a river, Fatoumata stands on one side of the river and uses sight-lines to a landmark on the opposite bank. Fatoumata draws the diagram below to show the lengths and angles that she measured. Find PR, the distance across the river. Round your answer to the nearest foot.

Answers

The distance PR across the river is 177 feet

How to determine the distance PR

The complete question is added as an attachment

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

The equivalent ratio represented as

PR : 125 = PR + 170 : 245

Express the ratio as a fraction

So, we have the following representation

PR/125 = (PR + 170)/245

Cross multiply

This gives

245PR = 125PR + 21250

Evaluate the like terms

120PR = 21250

Divide both sides by 120

PR = 177

Hence, the distance is 177 feet

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DE is
midsegment of AABC. Find the value of x
B
X

Answers

The value of x in the triangle is 8 units.

How to find the mid segment of a triangle?

The midsegment of a triangle is a line connecting the midpoints between two sides of a triangle.

It is parallel to the third side and it is half the length of the third side.

Therefore, DE is the mid segment of the triangle ABC. The value of x can be found as follows:

Using the mid segment rule,

BE = EC

BD = DA

Therefore,

x = 8 units

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John is starting a roofing business. He will need to buy a truck and some supplies to get his business going. The truck costs $13000 used. He gets three jobs right away. And hires 2 workers to help him. The materials for all three jobs cost $3000 total. The jobs will each take a week not including Saturday and Sunday and he pays his workers $125 per day per worker. How much will he have to charge for each job in order to break even at the end of the third job?

Answers

As per the unitary method, the charge for each job in order to break even at the end of the third job is $3,000

In math the term unitary method is known as a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Here we have given that John is starting a roofing business. He will need to buy a truck and some supplies to get his business going.

And here we we have also known as the truck costs $13000 used.

The value of truck is 13000 and material for all 3 jobs is 3000

Here we have also know that each job takes 5 days for a total of 15 days

workers get paid 125 dollars a day.

As we all know that each worker gets 125 a day.

Then here we have also know that each job requires 5 days so he pays each worker 625 per job.

Then he has them work on 3 jobs, and then he pays each worker 1875 for all 3 jobs.

Where here he has 2 workers so he pays out 3750 in total to the workers for all 3 jobs.

Then the total cost is calculated as,

=> $13,000 for the truck

=> $3,000 for the material

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how to find the y intercept of a polynomial function

Answers

To find the y intercept of a polynomial function solve the function for the input value of zero.

We know that a polynomial function is a function that contains only positive integer exponents of a variable.  

The highest power of a polynomial function is the degree of polynomial function.

A polynomial is generally represented as P(x).

The domain of a polynomial function is entire real numbers (R).

We know that the y-intercept is the value of the function for which the function has an input value of zero.

To find the y intercept of a polynomial function P(x) we substitute x = 0 and solve the polynomial function.

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Write a function g that determine's the point's x-coordinate in terms t.
g(t)=

Answers

A function g that determine the point's x-coordinate in terms t.

g(t) = r .cos (2.t).

Now, According to the question:

The input variable and output variable are also called the domain and the range. The domain of a function is the set of all values that will work in the function, which are the inputs. The range of a function is the set of all possible outputs produced by the function. In the example above, the 3 would be part of the range and the 8 would be part of the domain.

Input data

A point started at the location (-4, 0)

and, moves CCW along a circle centered at (0, 0)

angular speed = 2 rad/s

Procedure

The value of x is equal to the cosine of the swept angle time radius.

We can calculate the swept angle as 2×t

g(t) = r .cos (2.t).

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The given question is incomplete.

For the complete question, To see the attachment.

a square is cut out of a circle whose diameter is approximately feet. what is the approximate area (shaded region) of the remaining portion of the circle in square feet? ( where )

Answers

The approximate area (shaded region) of the remaining portion of the circle in square feet is 55.94 ft².

We know that,

the side of square=2*[r*√2/2]=r*√2 that is being taken out.

diameter = 14 ft and radius , r = 7 ft.

the side of square=7*√2=9.89 ft

[area of the remaining portion of the circle]=[ area of a circle]-[area of a square]

[area of a square] = (7√2)²=98 ft²

[ area of a circle] = π*r²= π x 7^2 = 153.94 ft²

therefore,

[area of the remaining portion of the circle]=153.94 - 98=55.94 ft²

the answer is 55.94 ft².

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Someone please help! I'm in Algebra 1 and this is supposed to be a puzzle.

a^x a^y = a^88 x and y differs by 32

Answers

The solution of the system is x = 60 and y = 28.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

Given:

An algebraic equation,

[tex]a^{x} a^{y} = a^{88}[/tex]

When the base value is the same, we can add the exponents.

x + y = 88

And x - y = 32

Now, we have the system of equations,

Adding both the equations,

2x = 120

x = 60

And y = 28.

Therefore, the values are x = 60 and y = 28.

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Please help me, I need the inequality only

Answers

The solution of the inequality is x < 60 and graph is shown in the image attached

How to solve and graph an inequality?

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g. 5 < 6, x ≥ 2, etc.

Let x represent the number of days.

Since 25 tables is being shipped daily and we want to find how many days will there be fewer than 1500 tables, we can write:

25x < 1500

x < 1500/25

x < 60

Note: fewer than means less than i.e. <

The graph is shown in the image attached

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A transformation is applied to a figure to create a new figure. Which transformation does not preserve congruence?

Answers

When a  transformation is applied to a figure to create a new figure then Dilation do not preserve congruence but do preserve orientations.

Rotations, reflections, translations, and dilation are only a few of the many transformations. Dilation do not preserve congruence but do preserve orientations. Rotations, reflections, and translations all preserve congruence and are referred to as isometries.

Maintaining congruence refers to a transformation where the side lengths and angle measurements of the Image and Pre-Image are the same.

An object's orientation refers to how its related parts are ordered. As long as the components of an item remain in the same sequence, rotation and translation retain orientation. Orientation is not maintained by reflection.

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This figure consists of two squares. The length of each side is a whole number of feet. The combined area of the squares is 100 feet. What is the perimeter of the entire figure in inches?

Answers

The perimeter of the entire figure is 40 inches

How to determine the perimeter of the figure

It is important to note that the formula for area of a figure is expressed as;

A = a²

Where;

A is the area of the squarea is the length of side of the squareThe total area is 100 feet

A + A = 100

a² = 100

Take the square root of both sides

a = √100

a = 10 inches

The formula for calculating the perimeter of a square is expressed as;

Perimeter = 4a

Substitute the value of a, we have;

Perimeter = 4(10)

expand the bracket

Perimeter = 40 Inches

Hence, the perimeter is 40 Inches

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Bobs gift shop sold a record number of cards for Mother’s Day. One salesman sold 36 cards, which was 4% of the cards sold for Mother’s Day. How many cards were sold for Mother’s Day

Answers

The number of cards were sold for mother's day is 900 cards.

How to calculate total number using percentage?

To calculate a total number using a percentage, first identify the percentage and the total number. Then divide the percentage by 100 to convert it to a decimal fraction. Finally, multiply the total number by the decimal fraction to calculate the total number.

For example, if the percentage is 10% and the total number is 200, first divide 10% by 100 to get 0.1. Then multiply 0.1 by 200 to get 20. The total number is 20.

In another example, if the percentage is 25% and the total number is 500, divide 25% by 100 to get 0.25. Then multiply 0.25 by 500 to get 125. The total number is 125.

It is important to remember that percentages are based on a whole, which is usually 100. Therefore, to use percentages to calculate a total number, it is necessary to first convert the percentage to a decimal fraction by dividing it by 100. Then, multiply the total number by the decimal fraction to calculate the total number.

36 cards is 4% of the total cards sold for Mother's Day.

Total number of cards = 36 / 4%

Total number of cards = 36 x 100/4

Total number of cards = 900 cards.

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The Students Athletes Club has a monthly budget ofxdollars. Every month $500 is spent on transportation. One-fourth the remaining budget is spent on monthly activities. Which function can be used to find the amount in dollars spent on monthly activities?

Answers

The function to find the amount in dollars spent on monthly activities can be represented as: A(x) = (x - 500) * 1/4

Let x be the total monthly budget in dollars and A(x) be the function of x that determines the amount in dollars spent on monthly activities.

To find the value of A(x), we follow the steps:

First, we subtract the fixed monthly transportation cost of $500 from the total budget.

The remaining budget is then divided by 4 to find the amount spent on monthly activities.

Therefore, the function A(x) can be written as: A(x)= (x-500)/4

Thus, the function (x - 500) * 1/4 can be used to find the amount in dollars spent on monthly activities.

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solve the equation:(x+5)^4 = 81

Answers

Answer:4√81=±3

Step-by-step explanation:

If (x+5)^4 = 81,

then (x+5)^2 = ± sqrt(81), so

        (x+5)^2 = ±9

Focusing on (x+5)^2 = 9 for the two real roots, we have

 (x+5)^2 = 9

       x+5 = ± sqrt(9)

       x+5 = ± 3

       x+5 = 3 gives you x = -2

       x+5 = -3 gives you x = -8

There are two complex roots too, but I'm not sure if you're studying that too.   If so, then you'd solve (x+5)^2 = -9:

       x+5 = ± sqrt(-9)

       x+5 = ±3i

       x = 5 ± 3i as the two complex roots.

How do you eliminate the parameter to find a cartesian equation of the curve?

Answers

A horizontal parabola with a right-facing opening and a vertex at (1,1) is we have positive direction.

In order to make the coefficients of either the variable x or the variable y numerically equal, first multiply both of the following equations by any suitable non-zero constants.

Finding the single equation of a curve in standard form with only the variables xs and ys constitutes the cartesian equation of that curve. You must simultaneously solve the parametric equations in order to arrive to this equation.

X and Y both

are t-related functions.

We have t=y1 after solving y=t+1 to get t as a function of y.

Thus, given x=t2+1, we have x=(y1)2+1x1=(y1) by substituting t=(y1).

A horizontal parabola with a right-facing opening and a vertex at (1,1) is what we have positive direction.

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a coin with a head on one side and a tail on the other is tossed, followed by a six sided die with faces marked 1 through 6 being rolled. if each outcome is equally likely, what is the probability of each outcome?

can i please receive an explanation

Answers

you have 12 possible outcomes:
1 tails
1 heads
2 tails
2heads
3 tails
3 heads
4 tails
4 heads
5 tails
5 heads
6 tails
6 heads
each out come is equally likely, so each has a 1/12 probability (8.33333%)

Can y’all help me please on question 7-8 plssss I beg y’all homework’s due tommorow

Answers

The solution to the fractions are;

7. 5/6

8. 6/5

What is a fraction?

A fraction can be described as the part of a whole variable, number or element.

There are several types of fractions, which includes;

Proper fractionsMixed fractionsImproper fractionsSimple fractionsComplex fractions

From the information given, we have that;

1 1/3 × 5/12

convert to improper fraction

4/3 × 5/12

Multiply the values

5/6

(7/10 + 1/5) ÷ ( 6/4 - 3/4)

find the lowest common denominators

( 7 + 2 /10) ÷ (6 - 3 /4)

subtract or add the numerators

9/10 ÷ 3/4

take inverse of the divisor and multiply

9/10 × 4/3

6/5

Hence, the values are 5/6 and 6/5 respectively.

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What is the length of the unknown side on the following right triangle?

Answers

Answer: c=√202

Step-by-step explanation:

c = √(9² + 11²)

which also simplifies to 23.769729

I hope this helps!

Answer:

Step-by-step explanation:

A turtle traveled 1/10 miles in 1/2 hour. What was the turtles rate in miles per hour?

Answers

Answer: 0.2m/h

Step-by-step explanation: We can say when the turtle travels 1/10 of a mile in 1/2 of an hour, he's traveled 0.1 miles in 30 minutes.

If you're looking for the turtle's rate in miles per hour, just double both the time and the distance traveled.

You will end up with 0.2 miles per hour or 2/10 of a mile per hour.

It’s 1/5 miles because 1/10 miles/ 1/2 hr is equal to 1/5 miles in 1 hr

four players pick a real number from [0,1]. the players with the middle two numbers are paired together, while the players with the two extreme numbers are paired together. the pair with a lower sum has to each pay the difference to the pair with a higher sum. if you are allowed to choose your number (while everyone else draws uniformly at random), which number should you choose?

Answers

If the four players choose their numbers independently and uniformly at random from [0,1], then the expected value of the sum of the two middle numbers is 1/2, and the expected value of the sum of the two extreme numbers is 1/2. Therefore, in order to minimize the expected

One of the most straightforward methods for gathering information from the entire population is random sampling. Every member of the subset has an equal chance of being chosen as part of the sampling process when using random sampling. For instance, if an organization employs 300 people overall, a sample group of 30 workers will be chosen to participate in the survey. In this instance, the population is the entire workforce of the organization, and the sample is 30 employees. Since all of the employees who were picked to participate in the survey were chosen at random, every worker has an equal chance of getting chosen.

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In a grade 7 class,There are 30 students in a class 18 of them own at least one pet.What percent of them have pets.Answer is 60 percent but how do i do the work.NEED URGENT RESPONSE

Answers

Answer: Use cross product property

Step-by-step explanation:

I solved it out for you below! I hope it helps! If you need a better explanation maybe ask your teacher? :)

the equation above can be used to model the population, in thousands, of a certain city t years after 2000. according to the model, the population is predicted to increase by 0.5% every n months. what is the value of n ?

Answers

The value of n=36 months.

It is given that the population is predicted to increase by 0.5%. To know the value after the increment, 215 has to be multiplied by (1 + 0.005) or 1.005.

In the equation P  =  215(1.005)t/3, the value of t/3 has to be equal to 1 for a 0.5% increase.

The population increases by 0.5 % every n month.

Initial Population = 215

Final Population:

=215+215*0.5/100

=215.1.074

=216.074

Substituting the value of, Initial and final Population

[tex]216.075=215*(1.005)^\frac{t}{3} \\\\(1.005)^\frac{t}{3} =\frac{216.075}{215}\\ \\(1.005)^\frac{t}{3}(1.005)^1\\\\\\frac{t}{3} =1[/tex]

t=3 years=>36 months.

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Which of the following is a statistical question that can result in numerical data?

A. How many miles do you ride your bike each week?
B. How many miles do the students in your class run each week?
C. Who is the dentist at Uptown Dentistry?
D. How many pets do your grandparents have?

Answers

The option that is a statistical question is how many miles do the students in your class run each week? (option b)

What is a statistical question?

A statistical question is a question that can be answered by collecting data that have varying values.

For example, the number of miles that the students in your class run each week is statistical question because each student would run. This is because data would be collected from more than one student and the students would have varying miles that they run.

The number of pets your grandparents have is not a statistical questions because they can only have a set number of pets.

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Answer:

B. How many miles do the students in your class run each 

Step-by-step explanation:

pls pls pls help the second photo is the answer choices given

Answers

Answer

see attached

Step-by-step explanation:

x-2y = 8 means x = 8+2y.  so when y =0, x = 8; when y=1, x =10. draw a line with these 2 points.

Same with x - 2y = 4 ==> x = 4+2y.  so when y=0, x = 4, when y=1, x=6, draw a line with these 2 points.

Dirt being hauled by two trucks to a construction site is modeled by the expression xS+yRS+R. Truck 1 can haul x cubic yards and truck 2 can haul y cubic yards. Truck 1 makes S trips to the construction site, while truck 2 makes R trips. Which TWO statements are correct?

Answers

S + R represents the total trips done by these trucks.

What is volume?

Volume is defined as the amount of space occupied by an object that is bound by a boundary. It must be noted that the volume is a mathematical term that is only applicable to 3D (three-dimensional) objects or spaces. As such, the units commonly used for volume are cubic units, that is, m3, cm3, in3, etc.

Two dump trucks hauling rock to a construction site is given by the expression. xS + yR

S +R

Truck 1 can haul x cubic yards

Truck 2 can haul y cubic yards.

Truck 1 makes P trips to the construction site, while truck 2 makes R trips.

Hence the trips made by truck 1 and truck 2 should be the addition of the trips made by the trucks individually.

So the total trips is represented by S + R

Therefore, S + R represents the total trips done by these trucks.

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How much material would be required to make one triangular sail for a sailboat if the base is 420 centimetres and the altitude is 653 centimetres?​

Answers

Answer:

Step-by-step explanation:

I don't know I'm just asking the question

A lighthouse 1 flaahes its light every 15 minutes. A lighthiuse 2 flaahes every 18 minutes. If the two lighthouse flaah togethwr at 1:00 A. M, what time they will next flash together​

Answers

The next time they will flash together will be at 4:00 AM.If they flash together at 1:00 AM.

According to the given information we are trying to find the smallest time interval at which both the lighthouses will flash together.The first lighthouse flashes every 15 minutes, and the second lighthouse flashes every 18 minutes.

To find the LCM of 15 and 18, we can list out the multiples of each number and find the smallest multiple that is common to both.
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, ...
Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, ...

As we can see, the smallest multiple that is common to both lists is 90. This means that the two lighthouses will flash together every 90 minutes.Since they both flash at 1:00 AM, we can add 90 minutes to 1:00 AM to find the next time they will flash together:
1:00 AM + 90 minutes = 4:00 AM

So, the next time they will flash together will be at 4:00 AM.

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2. Your boss has decided to make room for new models of digital cameras by discounting old models. In order to sell them quickly, she wants to sell them at the store’s original cost before markup. She asks you to change the price tags and make signs with the percent of discount. Knowing that the stores’ percent of markup on digital cameras in 40%, and the original price of a camera is $175.50. What was the store's original cost on this camera?

Answers

Knowing that digital camera merchants typically mark up their products by 40%, even when a camera's actual cost is $175.50 The price of one rupee is $438.75.

What does cost price mean in math?

Your boss has chosen to give old models of digital cameras a discount in order to make place for new ones. She wants to offer them for sale at the store's original price, without a markup, in order to move them quickly. You are requested by her to alter the price tags and create signage indicating the percentage of the reduction. A digital camera costs $175.50 at the manufacturer's suggested retail price, with shops adding 40% to that figure.

cost = ($175.50 / 40 ) × 100 = $438.75

In mathematics, the cost price formula, often known as C.P., is used to determine an object's exact price.The price that a buyer pays for a good, service, or commodity, according to the definition of C. P.In the estimation of profit and loss calculations for a specific purchase, it is frequently utilized.

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Solve for x and the missing angles in the diagram below: x = The missing angles are °, ° and °.

Answers

The measure of {x} equals to 8 and ∠WYZ is 32°.

What is a radian?

The radian is the unit of angle in the International System of Units and is the standard unit of angular measure used in many areas of mathematics

Given is the figure as shown in the image.

It is given that ∠XYZ = 106°. We can write -

∠XYZ = ∠XYW + ∠WYZ

106 = 70 + 5x - 4

5x + 66 = 106

5x = 40

x = 8

∠WYZ = 5x - 8 = 5 x 8 - 8 = 32°.

Therefore, the measure of {x} equals to 8 and ∠WYZ is 32°.

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There are 24 baseball cards In 4 packs complete the table to find the rate that gives the number of cards in 2 packs. Write this rate in three different ways.

Answers

2 packs include 12 baseball cards, and there are 6 baseball cards per pack.

What is ratio?

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

given, There are 24 baseball cards In 4 packs complete the table to find the rate that gives the number of cards in 2 packs.

Since

There are baseball cards in 4 packs = 24

Thus,

Baseball cards in 1 pack = 24 / 4

Baseball cards in a pack = 6

Baseball cards in 2 packs = 12

therefore, there are 12 baseball cards in 2 packs also the rate of baseball cards per pack is 6.

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Complete question:

A cylindrical candle is sold in a gift box

that is a square-based prism. What is

the volume of empty space in the box?

Radius 8 cm

Height 16 cm

Answers

The volume of empty space in the box will be 220cm³

The diameter of the candle is equal to the width of the box (the length of the side of the square base of the box), and the height of the box is equal to the height of the candle, assuming that the candle fits tightly inside the box without wasting any room.

You may compute the prism's volume by multiplying it by the square base's area (height).

The area of the circular base can be used to compute the volume of the candle's cylinder (height).

The square box base's side measures 8 cm long, hence its area is equal to that measurement= 8cm²=64cm²

The candle's diameter is two times its radius, hence the radius is 8cm/2=4cm

area of the circular base thus Equals (A = π r²).

=πx4²

=16π²

Since the height of the candle and of the box is 16cm, the difference in volume is 1024-256π

=220cm³

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How does the Congress of Vienna respond to news ofNapoleon's return, and where does he attacktheir armies? you drop a rock into a deep well. you can't see the rock's impact at the bottom, but you hear it after 6 seconds. the depth of the well is 285.9 feet. ignore air resistance. the time that passes after you drop the rock has two components: the time it takes the rock to reach the bottom of the well, and the time that it takes the sound of the impact to travel back to you. assume the speed of sound is 1100 feet per second. note: after seconds the rock has reached a depth of feet where Write an equivalent expression to 9 1/2k - (7 + 31/4k) without parentheses. Then, combine like terms How would you make a formula Links to an external site. = SUM (C2: C40) would get caught in the column, but would it change the line reference when dragging it?Group of answer choices= SUM (C2: C40)= SUM ($ C $ 2: $ C $ 40)= SUM ($ C2: $ C40)= SUM (C $ 2: C $ 40) 43% of all statistics classes require a statistical calculator and 27% require the use of a computer that has statistical software. Of the classes that require a statistical calculator, 17% also require the use of a computer. If a statistics course is selected at random find: (round to 4 decimal places where possible) you have 0.5 l of air at 203 k in an expandable container at constant pressure. you heat the container to 273 k.what is the volume of air? Gaseous ammonia chemically reacts with oxygen gas to produce nitrogen monoxide gas and water vapor. Calculate the moles of oxygen needed to produce 1.6 mol of nitrogen monoxide. Be sure your answer has a unit symbol, if necessary, and round it to the correct number of significant digits. Find median for average life of a particular brand of a T.V sets from the following datalife in years : 0-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40No. of sets : 2 16 26 39 43 21 8 4 Write the equation of the line that passes through the points ( 3 , 8 ) (3,8) and ( 6 , 4 ) (6,4). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line You are designing a music-sharing application in Azure.You need to recommend an application design that meets the following requirements:The application must support more than 10,000 users from many countries.The application must notify users when new music is uploaded to Azure.Users must be able to decide when they want to access new music.What should you recommend using to route the required information for new music?Select only one answer.Azure Event GridAzure Event HubsAzure MonitorAzure Queue Storage drew, 72, is a widower with a gross estate worth $975,000. he is in the highest current marginal income tax bracket. drew would like to make a sizable charitable contribution to the american diabetes association, and would like the charitable contribution to provide him with a fixed income for the rest of his life. which one of the following charitable transfers is most appropriate for drew to use to best achieve his estate planning objective? a) a charitable lead trust, since it provides drew with a fixed income stream b) a charitable remainder annuity trust, since it provides the desired income to drew c) a charitable remainder unitrust, since it provides drew with a charitable contribution deduction d) a charitable outright gift, since it reduces drew's income tax liability substantially The populations of Siberian tigers and narwhals since 199019901990 are represented by the following tables Which factor limited the economic opportunities of emancipated African Americans?A. Their high wage demandsB. a shortage of factory jobsC. the widespread refusal to remain in farm jobsD. a lack of education the word decagon contains the root dec. what does the root dec mean? quzilet which one of the following statements is true? group of answer choices information is raw, unorganized facts. information is data that has been organized and arranged in a manner that is useful in making decisions. data is organized so it shows patterns which can be used to make decisions. data is information that has been processed. You are developing an application that will use a message-based delivery system. The solution must be able to store over 90-GB of data and provide an audit trail of all messages.Which messaging solution should you use?Select only one answer.Azure Queue StorageAzure Service Bus queuesAzure Service Bus topicsAzure Functions Drag each label to the correct location. A high school history class is writing essays about the American Civil War. like all historians they will be influenced by their personal ideologies, and need to be aware of that influence. read a brief description of the class members below, and determine which individual will be influenced by his or her economic, political, or social ideology personal taxes joe and jane keller are a married couple who file a joint income tax return, where the tax rates are based on the tax tables presented in the chapter. assume that their taxable income this year was $165,000. 2. what is their federal tax liability? b. what is their marginal tax rate? c. what is their average tax rate? Adam plans to choose a video game from a section of the store where everything is 75% off. He writes the expression d - 0.75 d to find the sale price of the game if the original price is d dollars. Rena correctly writes another expression, 0.25 d, that will also find the sale price of the game if the original price is d dollars. Drag each description to explain each part of both expressions. suppose a 3000 cm3 container holds 7.0 g of nitrogen gas at a pressure of 200 kpa . the gas can be heated at constant pressure if a piston moves outward to let the gas expand as it's heated. alternatively, the gas can be heated at constant volume if the piston is locked in place to prevent expansion. how does the heat required for one of these processes compare to the heat required for the other process? how much heat is required to double the volume and temperature at constant pressure?