A stack of 200 file folders is 5. 125 inches tall. A. Elena guesses that each file folder is 0. 035 inches thick. Explain how you know that Elena’s answer is not correct

Answers

Answer 1

To know whether Elena is correct or not, you need to find out the height of each stack of file folder.

Assume that all 200 files have the same height.

Let the height of each file folder be m inches.

So, by unitary method the height of each file folder would be,

m = Total height of stack / Number of file folders

here, the total height of stack = 5.125 inches

And the number of file folders = 200

So, m = 5.125 / 200

m = 0.0256 inches

But Elena guesses that each file folder is 0. 035 inches thick.

This means, Elena is wrong as the answer Elena gave is too large than the actual answer.

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Related Questions

What is the hardest math in high school?

Answers

Geometry, most people find geometry the hardest because it builds upon algebra 1 with shapes and angles

What is the coefficient of y2 in 9xy2z?

Answers

The coefficient of y2 in 9xy2z is 9xy.

In mathematics, a coefficient is any integer or symbol that multiplies the variable of a single term or the terms of a polynomial to represent a constant value. It is typically a number, however, in other expressions, a letter might be used instead. In the formula: ax2 + bx + c, for instance, x is the variable and a and b are the coefficients.

A coefficient is what?

A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it. It is assumed that the variables with no associated number have a coefficient of 1.

coefficient of y 2  in 9x(y 2 )z is 9xy.

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What is the area of the shaded region? Use 3.14 for pi and round your answer to the
nearest tenth.
O
6 cm
10 cm
12.6 cm²
78.5 cm²
50.2 cm²
201.0 cm²

Answers

The area of the shaded region is, 201.0 cm².

What is circle?

A circle is a closed, two-dimensional figure in which all points in the plane are equally spaced apart from the center. The symmetry line of reflection is formed by each line that traverses the circle. Additionally, it is rotationally symmetric around the center for all angles.

In the given figure we have to find the area of the shaded region.

First to find the area of circle with radius 10cm.

Area of circle = [tex]= \pi r^2 = 3.14*(10)^2 = 3.14*100 = 314cm^2[/tex]

Now to find the area of circle with radius 6cm.

Area of circle = [tex]= \pi r^2 = 3.14*6^2=3.14*36 = 113.04 cm^2[/tex]

So, the area of the shaded region is,

[tex]314cm^2 - 113.04cm^2 = 200.96cm^2=201.0cm^2[/tex]

Hence, the area of the shaded region is, 201.0 cm².

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Emily is using glass to make a display case in the shape of a triangular prism the net of the display shown exactly how much glass is needed to make a display case

Answers

The net of the display consists of one rectangle and two right triangles.  168 ft² is needed to make a display case. Hence option D is the correct option.

What is surface area?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The surface area of the triangular prism is the display area of the glass.

The surface area of a triangular prism consists of one rectangle and two right triangles.

The length of the rectangle is (10ft + 6 ft + 8ft) = 24ft.

The width of the rectangle is 5 ft.

The area of a rectangle is the product of length and width.

The area of the rectangle is 24ft × 5ft = 120 square ft

The length of the base of the triangle is 8 ft and the height is 6ft

The area of the triangle is 1/2 × base × height = 1/2 × 8 × 6 = 24 square ft

The display area is 120 square ft + 2 ×24 square ft = 120 + 48 = 168 ft².

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What is the shape with 3 sides and 3 right angles?

Answers

There is no shape with exact 3 sides and 3 right angles.

The shape with three sides is a triangle. A triangle is a polygon with three edges and three vertices. It is a basic shape in geometry and can be classified into several types based on the length of its sides and the measure of its angles. Triangles can be classified as acute, right, or obtuse, depending on the measure of their angles.

A right triangle is a triangle with one right angle (90 degrees ). But there can not be a triangle with 2 or more right angle.

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Julia take a bead from the bag at random
c) how that the probability that thi bead i purple

Answers

The probability that the bead taken from the bag is purple or red is total is 0.75 or 3/4.

The total number of beads in the bag is 12.

Out of these, 3 are purple and the rest are red (12-2-1-3 = 6). So, the probability of drawing a purple bead is 3/12 and the probability of drawing a red bead is 6/12.

To find the probability of drawing either a purple or red bead, we add the individual probabilities together: (3/12) + (6/12) = 0.25 + 0.5 = 0.75. This means that there is a 75% chance that the bead taken from the bag will be purple or red.

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The complete question is -

Write down the letter of the event that is likely. bag contains 12 beads_ 2 of the beads are blue: of the beads are green: 3 of the beads are purple: The rest of the beads are red: Julia takes a bead from the bag at random c) Show the probability that this bead is purple Or red is Totulmen.

5-115. Let us consider the difference between t(n) = 2 · 3" and f(x) = 2. 3

a) Is f(x) = 2 · 3 a function? Is t(n) = 2 · 3" a function? Why or why not?

Answers

Both  f(x) = 2.3 and t(n) = 2.3" is not a function as they does not has any input variable.

f(x) = 2.3 is not a function because it's a constant value, it doesn't have any input x that could be used to produce a different output. It's just a number, and it's not a mathematical function.

t(n) = 2 · 3^n also doesn't represent a function because, again, it doesn't have any input n that could be used to produce a different output. It's also just a number, and it's not a mathematical function.

A mathematical function is a set of ordered pairs (input, output) such that for each input, there is only one output. A function must have at least one variable that can take different values and the output must depend on the input value. In other words, for each value of the independent variable, there is only one value of the dependent variable.

So, in the case of f(x) = 2.3 and t(n) = 2 · 3^n, there is no input variable that can produce different output, so they're not functions.

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How do you find the missing angle of a triangle with all sides?

Answers

The missing angle of a triangle where only the measure of all sides are given can be calculated by using the Cosine Law .

What is Law Of Cosine ?

The law of cosine is also known as Cosine Rule. This law is useful in finding  the missing information of  any triangle.

For example, if you know the lengths of three sides of a triangle , this rule helps to find the angle between the two sides of the triangle.

Let a , b and c be the sides of the triangle and let A , B and C be the angle corresponding to the respective sides .

Then by the Cosine Law the angles are represented as : [tex]CosA = \frac{b^{2} +c^{2} -a^{2} }{2bc}[/tex] ;

[tex]CosB = \frac{c^{2} +a^{2} -b^{2} }{2ac}[/tex] ; [tex]CosC = \frac{a^{2} +b^{2} -c^{2} }{2ab}[/tex] .

Therefore , The Law Of Cosines is used to find the missing angle .

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PLEASE HELP I WILL GAVE A BRAINLY Will you guys show me how to make a graph that shows the relationship between height and years. All the other info is filled out so please use that. Thank you for helping!!!

Answers

Answer:

Conclusion: Straight line upwards from point (0,3) to (3, 5.25)

Step-by-step explanation:

Your part (a) answer is absolutely correct.

Equation is y = 3/4x + 3

For part (b), you are correct to say that the y-intercept of the graph is 3. The implication is that the initial height of the tree is 3 feet tall. (When the tree just starts to grow at time = 0 years)

Your part (c) answer is absolutely correct as well.

For the graph part,

x = years (independent variable)

y = height (dependent variable)

From the equation you have constructed in part (a), the y-intercept of the graph is 3. Hence, a point (0, 3) can be first plotted in the graph.

Secondly, for part (c), you have also obtained the answer (3, 5.25). Plot that point on the graph as well.

Next, we can see that the graph in (a) is a linear graph in the form y = mx + c, where m is the gradient and c is the y-intercept.

Hence, you can easily draw a straight line upwards from (0,3) to (3,5.25) . It is expected as the gradient of the graph is 3/4, which is a positive number.

how would you read absolute value -5

Answers

Answer:

-5 = |5|

Step-by-step explanation:

Absolute value is the number of distance from zero. Therefore, it doesn't matter if the number is positive or negative in absolute value it is always positive.

h(x)=x 2 −1h, left parenthesis, x, right parenthesis, equals, x, squared, minus, 1 Over which interval does hhh have a negative average rate of change?

Answers

The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
Given expression,
h(x) = x² - 1

Since the above expression is of parabola, which has a decreasing curve from (-∞, o), simultaneously the function shows the negative rate of change until the function is decreasing, So the required interval for which the function shows the negative rate of change is (-∞, 0).

Thus, The required interval is (-∞, 0) for which the given function h(x) = x² - 1, has the negative rate of change.

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I need help with these questions can someone help please

Answers

Answer:you just have to find the slope

Step-by-step explanation:

so all you have to do is start by doing y=Mx+b. You start by placing down you b point on the y axis and then Do your Mx it should look something like this

pls pls HELP ASAP!!! ILL MARK BRAINIEST AND 50 POINTS!!!!
Identify or mark the missing side or angle that would make triangle ABC congruent to triangle PDF by ASA

Answers

Answer:

side BC and side DF

Step-by-step explanation:

side BC and side DF

2) You roll one die. What is the probability that you roll a 6?
A) 1/2
B) 1/4
C) 1/6
D) 2/6

Answers

there are 6 sides to a dice
there’s only one 6 on the dice
therefore, the answer is 1/6

Answer: c 1/6

Step-by-step explanation

Becouse it has six numbers so that means that 1 is a factor so taking in every other number the answer should be 1/6

What is the definition of a solution give 3 examples of a solution?

Answers

A homogenous mixture of two or more components is referred to as a solution.

Solution Examples: Brass is an illustration of a solid solution. Liquid solutions include aqueous hydrochloric acid as an illustration (HCl in water). Air is an illustration of a gaseous solution.

1)When we combine salt (often table salt) and water, we create salt water.

2)By combining sugar and water, sugar water is created.

3)Mouthwash is made up of various chemicals that have been dissolved in water.

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Find value of y

[tex] {y}^{2} - 58 = 25 \times 4 + 11[/tex]

Answers

Hello there!

Answer:

y = ± 13

Step-by-step explanation:

[tex]y {}^{2} - 58 = 25 \times 4 + 11 \\ y {}^{2} - 58 = 100 + 11 \\ y {}^{2} - 58 = 111 \\ y {}^{2} - 58 - 111 = 111 - 111 \\ y {}^{2} - 169 = 0 \\ (y + 13)(y - 13) = 0 \\ y = - 13 \: \: \: and \: \: \: y = 13[/tex]

Aisha has 50 chocolates she fills 3 boxes and has 2 left over How many chocolates does she have left? Write it as an equation

Answers

Aisha has 2 chocolates left. You can represent the problem as an equation as follows:

x = 3b + 2

Where x is the total number of chocolates, b is the number of boxes filled and 2 is the remaining chocolates left.

Since we know that Aisha has 50 chocolates, we can substitute this value for x in the equation:

50 = 3b + 2

Solving for b, we find that b = 16. So, Aisha filled 16 boxes and had 2 chocolates left over. The equation is true, and Aisha has 2 chocolates left.

It's worth noting that this is a simple algebraic equation, we can use the same equation to find the number of chocolates given the number of boxes and remaining chocolates, or to find the number of boxes given the number of chocolates and remaining chocolates or to find the remaining chocolates given the number of boxes and the number of chocolates.

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Find the area of the haded region. Give your anwer a a completely implified exact value in term of π (no approximation). Chapter Reference b A 1 cm 1 cm 3 cm C O B D P

Answers

The shaded region has a surface area of 7π.

What is area?

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. Draw a square on a sheet of paper using a pencil. It is a two-dimensional figure. The area of the form on the paper is referred to as its Area. Consider your square to be made up of smaller unit squares.

Here,

find the area of the circle with radius =3 cm,

then subtract the areas of the two circles with radius 1 cm

pir^2 = the area of a circle with radius = r

=pi(3)^2 -pi(1)^2 - pi(1)^2

= 9pi -pi-pi

= 9π-2π

= 7π

The area of shaded region is 7π.

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What is inverse property in math?

Answers

Answer:

The inverse property definition states when added together with its additive inverse, the sum of the two numbers will be zero. When a number is multiplied by its multiplicative inverse, the product will be one

Step-by-step explanation:

Dylan invested some money in his bank.
He agreed a simple interest rate of 3% per annum fo a period of 2 years.
At the end of the 2-year period the value of his investment increased by £72

Work out the value of Dylan's initial investment

Answers

The amount invested by Dylan will be £1200.

What is simple interest?

Simple interest is the amount of borrowing-related interest that is calculated using only the original principal and a constant interest rate.

Given that Dylan invested some money in his bank. He agreed on a simple interest rate of 3% per annum for a period of 2 years. At the end of the 2-year period, the value of his investment increased by £72.

The amount of money invested will be calculated as,

SI = ( P x R x T ) / 100

72 = ( P x 3 x 2 ) / 100

7200 = 6P

P = 7200 / 6

P = £1200

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How do you graph exponential functions and logarithms?

Answers

Graphing exponential functions and logarithms involves understanding the key characteristics of these functions and how they are represented on a graph.

Asymptotes: The graph of an exponential function does not have any asymptotes.

Domain and range: The domain and range of an exponential function are all real numbers.

Increasing or decreasing: An exponential function is always increasing.

Shape: The graph of an exponential function is concave up.

y-intercept: The y-intercept is (0,1)

x-intercept: The x-intercept does not exist.

To graph an exponential function, you can start by plotting the y-intercept (0,1) on the graph. Then, you can use the information about the shape of the graph (concave up) and the increasing nature of the function to determine the general shape of the graph.

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If you could buy 500 individual nerd candies for $5 or 186 g of individual nerd candies for $5, which would be the better deal

Answers

The better deal would be 500 individual nerds candy for $5.

One of the four basic mathematical operations, along with addition, subtraction, and multiplication, is division. The equal partition of bigger groupings into smaller parts is referred to as division.

The order of work assigned to and completed by the team of employees in order to optimize efficiency is known as the division of labor.

The splitting down of a job into multiple separate parts that make up the total is referred to as the division of labor. 500 individual nerds candy for $5 is preferable since you will have more candy and it will last longer.

Thus, The better deal would be 500 individual nerds' candy for $5 since you will have more candy and it will last longer.

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Translate each sentence into an equation!!!

1)Seven more than six times a number is 17.
2)Four less than five times a number is 11.
3)Six times the quantity, x-2, is 24.
4)Three less than six times a number is five more than twice the number.
5)Two more than the product of -3 and a number is 11.

Answers

Answers:

1.  6x + 7 = 17

2.  5x - 4 = 11

3.  6(x - 2) = 24

4.  6x - 3 = 2x + 5

5.  (-3x) + 2 = 11

Step-by-step explanation:

Since your only translating the sentence and not actually solving, we don't need to determine a specific number.  So in that case, whenever the question says "a number," use a variable such as x.  

1.  Seven more would mean +7, so your adding 7 to x.  X is multiplied by 6, so your answer is 6x + 7 = 17.  

2.  X is being multiplied by 5, and 4 less means -4 so you get 5x - 4 = 11

3.  X-2 is being multiplied by 6, so indicate that in parenthesis.  You should then get 6(x - 2) = 24

4.  This one is a little different, since it doesn't equal a direct number.  X is being multiplied by 6, and 3 is getting subtracted from it so the first part is 6x - 3 and it equals X multiplied by 2 plus 5.  Put it all together and you get 6x - 3 = 2x + 5

5.  The word product means multiplication so you know that -3 is being multiplied with X.  Again, indicate this in parenthesis.  You should get (-3x) + 2 = 11

I hope this helps you!  Have a good day/night!  :)

Answers:
1. 6x + 7 = 17
2. 5x -4=11
3. 6(x-2) = 24
4. 6x-3= 2x+ 5
5. (-3x) + 2 = 11

An employee records the number of minutes it takes each team to complete the escape room
this week. The dot plot shows the data.
How many teams completed the escape room
this week?
teams

Escape Room
40 41 42 43 44
45 46
45 46 47
Time to Complete (min)
47 48 49 50

Answers

To begin, our game organizer will introduce participants to the escape game instructions and backstory. Teams will have 60 minutes to complete their chosen quest

What is escape room?

An escape room, also known as an escape game, puzzle room, exit game, or riddle room is a game in which a team of players discover clues, solve puzzles, and accomplish tasks in one or more rooms in order to accomplish a specific goal in a limited amount of time. The goal is often to escape from the site of the game.

Once you’re ready to start the game, your team will watch a mission video. This video explains the world your team is now a part of, what you’re trying to accomplish, and why you only have 60 minutes to do so!Some missions are about escaping the room, like in a prison break room. Other missions might not be centered around escaping, but instead, you might be completing a heist or launching a martian spaceship.Here’s an example of the type of mission video that plays at the beginning of a game. This one is from The Escape Game’s The Heist!

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Answer:21 teams

Step-by-step explanation:because if you cont the black dots and read the question that would be the answer

An experiment was conducted by a group of students. There were 8 times recorded. The distance traveled was 30 meters. The times were 7.48, 7.45, 7.90, 7.37, 7.25, 7.40, 7.55, and 7.60. What was the average time

Answers

The average time is 7.5.  The average is calculated by dividing the total number of values in a given set by the sum of all the values in that set.

How to calculate average ?

An average is a single number chosen to represent a group of numbers; it is often the sum of the numbers divided by the number of numbers in the group. Average The arithmetic mean is calculated by adding a set of numbers, dividing by their count, and then taking the result.

If every number in a list is the same number, then that number also serves as the average for the list. Every one of the diverse varieties of average shares this characteristic.

An average of the values in a sample of data can be used to define a mean. In other words, the arithmetic mean is another name for an average. A mean is a term used to describe the average.

Average = Sum /  Count

Sum = 7.48 + 7.45 + 7.90 + 7.37 + 7.25 + 7.40 + 7.55 + 7.60

= 60 / 8

= 7.5

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What is the 3 example of quadratic equation?

Answers

The three examples of quadratic equations are x(x - 2) = 4, x(2x + 3) = 12 and 3x(x + 8) = -2

The term quadratic equation also known as quadratic expression referred as an equation containing one term in which the unknown is squared and no term in which it is raised to a power higher than 2.

Here the examples of quadratic equations in other forms is written as follows:

=> x(x - 2) = 4

Here we have to multiply and then moving the 4, then we get the quadratic expression as,

=> x² - 2x - 4 = 0

Another example like the following,

=> x(2x + 3) = 12

Here we have to multiplying and moving the 12, then we get the resulting expression as,

=> 2x² - 3x - 12 = 0

Final example for quadratic expression is written as

=> 3x(x + 8) = -2

When we multiplying and moving the -2, then we get the simplified form as

=> 3x² + 24x + 2 = 0

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Please help quickly this is for a big test.
ES=____ units.
Round your answer to the nearest tenth.

Answers

That would be [tex] \sqrt{113} [/tex]

four-part spinner is spun once. spinner with four parts labeled Q, R, S, and T List the sample space for the experiment. S = {Q, R, R, T} S = {Q, R, S, T} S = {R, A, T} S = {S, Q, Q}​

Answers

The list of the sample space is s = {Q, R, S, T}. Option B is the correct option.

What is the sample space?

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.

The random experiment's sample spaces are written in curly brackets, "{ } ".

Given that a spinner wheel has four parts. It is labeled with the names Q, R, S, and T.

The elements of sample space are Q, R, S, and T.

The sample space is a set, thus write the elements in curly brackets.

The sample space is s = {Q, R, S, T}.

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Torrin rode his bike to school at 13. 5 km/h. He returned home using the same route at 10. 5 km/h. Torrin took a total of 36 min to ride to school and back. Express your answer to the nearest hundredth. A) how many minutes did torrin take to ride to school? B)how far is it from Torrins house to school?

Answers

To ride a bike to school Torrin takes 15.75 min to ride to school and 3.54 km is the distance from his house to school.

Let  v₁ = 13.5 km/h the speed to school

v₂ = 10.5 km the speed returning home

t = the time of the ride to school in minutes

36 - t = the time of the ride from school in minutes

Since, distance = speed × time

⇒v₁ × t/60 = v₂ × (36 - t)/60

⇒13.5 × t/60 = 10.5 × (36 - t)/60

⇒t = 15.75 min

Now, the distance = v₁ × t/60 = 13.5 × 15.75/60 = 3.54 km.

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[need some help! will give brainlist!]

Write the terms in standard form. Then state the degree of the polynomial and the leading coefficient (LC).

Answers

It can be written in standard form as [tex]5x^2-2+3[/tex] and the degree of polynomial is 2 with leading coefficient as 2.5.

How do you format a standard form of writing?

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is fairly simple (x and y). When attempting to solve systems of two linear equations, this form is also very helpful.

What are some terms examples?

The values on which mathematical operations take place in an algebraic expression are known as terms in mathematics. Let's explain with the help of a term example. This algebraic expression has terms 8x and 9, respectively.

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How much do you know about WW II, Hitler & what he did to races he did not respect (like the Jews)? Jeannine is studying cultures and their respective attitude toward proxemics. What is she most likely to discover?Question 5 options:which cultures prefer having people stand close to one anotherwhich cultures prefer to keep business interactions more formalwhich cultures prefer to make eye contact when conversingwhich cultures prefer all scheduled events to begin and end on time Ram Roys firm has developed the following supply, demand, cost, and inventory data. Allocate production capac- ity to meet demand at a minimum cost using the transportation method. What is the cost? Assume that the initial inventory has no holding cost in the first period and backorders are not permitted.Supply Available:Period Regular time Overtime Subcontract Demand forecast 1 30 10 5 402 35 12 5 503 30 10 5 40Initial inventory 20 UnitsRegular time cost per unit $100Overtime cost per unit $150Subcontract cost per unit $200Carrying cost per unit per month $4 How did the emergence of Nation-States and Nationalism in the mid-19th century play a role in Western Imperialism Marc favorite ride at Busch Gardens is the Flying Umbrella, which is lifted by a hydraulic jack. The operator activates the ride by applying a force of 72N to a 30cm2 cylindrical piston, which holds the 20,000N ride off the ground. What is the area of the piston that holds the ride? A nurse is teaching a patient who has taken glucocorticoids for over a year about glucocorticoid withdrawal. Which statement by the patient indicates a need for further teaching?a."I should reduce the dose by half each day until I stop taking the drug."b."I will need to have cortisol levels monitored during the withdrawal process."c."The withdrawal schedule may take several months."d."If I have surgery, I may need to take the drug for a while, even after I have stopped." Chee and her children went into a grocery store and she bought $12 worth of bananas and mangos. Each banana costs $0.50 and each mango costs $2. She bought twice as many bananas as mangos. Graphically solve a system of equations in order to determine the number of bananas, x,x, and the number of mangos, y,y, that Chee bought. What do all Louis XIVs efforts to strengthen absolutism have in common? Describe how the United States government is spatially organized and how power is distributed among its units Someone pls help!!Construct a circle through pointsX, Y, and Z. How should the sperm motility be categorized in this microscopic field of a semen sample viewed at 400X magnification Is a sovereign group independent? The Greek term for the "carrier of the action" in a tragedy isA. antagonist.B. protagonist.C. catharsis.D. hamartia. Why do we hyperlink information in a personal research? Why is it important? What are the hereditary diseases? Find the area of the largest rectangle that can be inscribed in the ellipse x2 / a2 + y2 / b2 = 1. Is an irony on the discrepancy between the expected result and actual result? What theme is emphasized in this excerpt from Ode on a Grecian Urn? My new year's resolution using mathematics word essay 200 words What does the term McCarthyism mean?A. Serving a term in the Senate without being elected B. Accusing people of supporting Fascism C. AllowingCommunism to influence the government D. Accusing people of disloyalty without proof