What is the approximate total volume of the silo? use 3.14 for π and round the answer to the nearest tenth of a cubic meter. 37.1 m3 71.9 m3 116.5 m3 130.8 m3

Answers

Answer 1

The total volume of silo is  = 116.5[tex]{~m}^{3}[/tex]

The correct option is C

What are the geometric figures?

Any arrangement of points, lines, or planes constitutes a geometric figure. Depending on their dimensions, geometric figures can be categorized as either a space figure, a plane figure, a line, a line segment, a ray, or a point.

Any object's surface area is the space that the object's surface takes up on a specific area or region. Volume, however, refers to how much room a thing has.

Given data:

Radius =4.4/2

                   =2.2

height of cylinder = 6.2

to find :

total volume of silo =  volume of cylinder + volume of hemisphere

                                  [tex]\begin{aligned}&=\pi r^{2} h+\frac{2}{3} \pi r^{3} \\&=\pi r^{2}\left(h+\frac{2}{3} r\right) \\&=\frac{22}{7} \times(2.2)^{2}\left[6.2+\frac{2 \times 2.2}{3}\right]\end{aligned}[/tex]

                                   = 116.5[tex]m^2[/tex]

The total volume of silo is = 116.5[tex]m^2[/tex]

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I understand that the question you are looking for is:

A grain silo is composed of a cylinder and a What is the approximate total volume of the silo? Use hemisphere. The diameter is 4.4 meters. The height of  3.41 for [tex]\pi[/tex] and round the answer to the nearest tenth of its cylindrical portion is  6.2 meters. a cubic meter.

a. 37.1[tex]m^2[/tex]

b. 71.9 [tex]m^2[/tex]

c.116.5 [tex]m^2[/tex]

d. 130.8[tex]m^2[/tex]

                   


Related Questions

Please help me on this one I got it wrong

Answers

Answer: E. 10,000,000 cubic millimeters

Step-by-step explanation: To find out any result from cubic centimeters to cubic millimeters, you multiply the cubic centimeters' value by 1000 to get the cubic millimeters' value.

10,000 * 1,000 = 10,000,000 cubic millimeters.

Hope this helped!

Step-by-step explanation:

The correct answer is E 10,000,00

The graph below shows the results of a survey of vacations. Which explanation below can be used to explain the point (1,1400)?

Answers

The person surveyed went to a major sporting event

The point (1,1400) means that the person spent 1 day on vacation and spent $1400. Since $1400 is above the average (the line), the person went on an expensive vacation. This can rule out staying home and going on a day trip. However, the person only spent 1 day on vacation, which rules out going on a cruise. The only answer left with is going to a major sporting event, an expensive, single day vacation.

What are the zeros of the polynomial function: f(x) = x^3 - x^2 – 6x ?

Answers

Answer:

x=0, x=3, x=-2

Step-by-step explanation:

factor the equation

x(x^2-x-6)

factor more

x(x-3)(x+2)

set it equal to 0

x(x-3)(x+2)=0

plug in numbers for x that would result in the answer being 0

0(0-3)(0+2)=0

3(3-3)(3+2)=0

-2(-2-3)(-2+2)=0

There are 12 marbles in a box. 8 are purple, and 4 are green. What is the probability of picking a purple marble and then a green marble, without replacing the first marble?​

Answers

Answer: 8/33

Step-by-step explanation:

So the probability of picking a purple marble is 8/12, after that there are 11 marbles left in the box

Now the probability of picking a green marble without placing the first marble back is 4/11

So the probability of doing both is 8/12 x 4/11 = 8/33

11 = 5 - b in verbal expression form

Answers

Answer: eleven equals five minus b

Step-by-step explanation:  11 = eleven. = equals equal. 5 = five.  - =  minus. b = b

full of sand, the wagon weighs 100 pounds. If the wagon weighs 80 ounces when its empty, how much do the bags of sand weigh?

Answers

given,

wagon weight with sand = 100 pounds

wangon weight = 80 ounces ÷ 16 = 5 pounds

sand weight = 100 - 5 = 95 pounds//

Find the area of the shaded region if the dimensions of the unshaded region are 12ft x 20ft . use 3.14 for π as necessary.

Answers

The area of the shaded region = 810.66 ft²

What is rectangle?

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Hence, it is also called an equiangular quadrilateral. Since, the opposite sides are equal and parallel, in rectangle, therefore, it can also be termed as a parallelogram.

Area of Shaded region:

(12+2*7)*20 - 12*20 + 3.14*((12+2*7)/2)² =

14*20 + 530.66 =

810.66 ft²

Therefore, the area of the shaded region = 810.66 ft²

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An78swer:

Step-by-step explanation:

What is the solution to the equation
O x = -3
x = -3 and x=0
O x = 0 and x = 3
O x = 3
X+3
2 ?
2x²

Answers

The solution to the equation 1/x = x + 3/2x^2 is x  = 0 or x = 3

How to determine the solution to the equation?

The equation is given as:

1/x = x + 3/2x^2

Cross multiply in the above equation

2x^2 = x^2 + 3x

Evaluate the like terms

x^2 - 3x = 0

Factor out x

x(x - 3) = 0

Solve for x

x  = 0 or x = 3

Hence, the solution to the equation 1/x = x + 3/2x^2 is x  = 0 or x = 3

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Answer:

The Answer Is "x=3"

Step-by-step explanation:

I just did it

The graph of y=√x is shifted 2 units down and 3 units left. Which equation represents the new graph?
A. y=√x-2-3
B. y=√x+2-3
C. y=√x+2+3
D. y=√x+3+2

Answers

the equation that represents the new graph is:

g(x) = √(x - 3) - 2

Which equation represents the new graph?

Here we start with the function:

y = f(x) = √x

First, we shift it 2 units down, then the new equation will be:

g(x) = f(x) - 2

Now we apply a horizontal shift, this time we shift the graph 3 units to the left, then the new equation is:

g(x) = f(x - 3) - 2

Now we replace f(x) = √x to get:

g(x) = √(x - 3) - 2

That is the equation that represents the new graph.

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A school club has 5 members. From these 5 members, a 2-person team must be chosen to represent the club at a school carnival. How many different 2-person teams can be made from the 5 club members?

A 10 teams
B 15 teams
C 20 teams
D 25 teams

Answers

Answer:

20 teams can be made

Answer:

A.  10 teams

Step-by-step explanation:

a 2-person team is a combination of two elements out of 5.

Then

The number of possible teams is :

[tex]C^{2}_5 = \frac{5!}{2! \times (5-2)!} = \frac{5!}{2! \times 3!}=10[/tex]

50 points to whoever can answer!

Answers

Answer:

10724.29

Step-by-step explanation:

mean means average

so to find an average you add everything together then divide it by the amount of variables

m = (10150 + 10211 + 10424 + 10769 + 10884 + 11155 + 11477)/7

m = 75070/7

m = 10724.2857143

m = 10724.29

The point-slope form of the equation of the line that passes through (–9, –2) and (1, 3) is y – 3 = one-half EndFraction(x – 1). What is the slope-intercept form of the equation for this line?

y = y equals StartFraction one-half EndFraction x plus 2.x + 2
y = y equals StartFraction one-half EndFraction x minus 4.x – 4
y = y equals StartFraction one-half EndFraction x plus StartFraction 5 Over 2 EndFraction.x +
y = y equals StartFraction one-half EndFraction x minus StartFraction 7 Over 2 EndFraction.x –

Answers

The slope-intercept form of given equation is y = 1/2x + 5/2.

According to the statement

we have given that the equation y-3 = 1/2(x-1) and the passing points are (–9, –2) and (1, 3).

And we have to find the slope-intercept form of the equation

slope-intercept form is the equation of a straight line in the form y = mx + b where m is the slope of the line and b is its y-intercept.

So, According to this

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

convert this into y = mx +b form then

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

here m is 1/2 and b is -1/2.

Then

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

Add three on both sides then

y = 1/2x + 5/2

So, The slope-intercept form of given equation is y = 1/2x + 5/2.

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Answer:

its cccccccc

Step-by-step explanation:

What would be the coefficient of determination r2 if the total sum of squares (sst) is 90 and the sum of squares due to error (sse) is 0 (zero)?

Answers

The coefficient of determination is 1.

Given

Total Sum of squares (SST) = 90

Sum of squares due to error (SSE) = 0

We have to find coefficient of determination.

The correlation of determination is the ratio of the explained variation to the total variation.

The coefficient of determination is used to analyze how differences in one variable can be explained by a difference in a second variable.

The coefficient of determination is also called r-squared or r-square.

Its the percentage of variation in the y-variable(response) that can be explained by the least squares regression line of y on x.

Coefficient of determination can be found with the following formula:

Formula of coefficient of determination :

[tex]R^{2} = 1 - \frac{SSE}{SST}[/tex]

= 1 - [tex]\frac{0}{90}[/tex]

= 1 - 0

= 1

[tex]R^{2}[/tex] = 1

Therefore,

The coefficient of determination is 1.

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The height of the pyramid in the diagram is three times the radius of the cone. The base area of the pyramid is the same as the base area of the
cone. What is the expression for the volume of the pyramid in terms of the radius of the cone?
OA V=²²
OB. V-2²
V=
OC V=2²2²
OD. V-²³
OE V-3²³
base area = B
base area B

Answers

The expression for the volume of the pyramid in terms of the radius of the cone is  [tex]V=\pi r^{3}[/tex].

What is the pyramid?A pyramid is a structure that substantially resembles a pyramid in the geometric sense when its exterior surfaces are triangular and converge to a single step at the summit. A pyramid foundation might be triangular, quadrilateral, or any other type of polygon. A pyramid therefore has a minimum of three exterior triangular surfaces.The numerous forms of pyramids are categorized based on the base's shape. Let's now go over each sort of pyramid shape individually.It is thought that one of many ramp possibilities was made to drag the stones to the top as they were built higher after being transported across the desert.

The expression for the volume of the pyramid in terms of the radius of the cone:

B= base area of the cone.

[tex]V=\pi r^{2}[/tex]

The volume of the Pyramid,

[tex]V=\frac{1}{3} *B*height[/tex]

[tex]$\Rightarrow V=\frac{1}{3} \times \pi r^{2} \times 3 \gamma$[/tex]

[tex]V=\pi r^{3}[/tex]

The expression for the volume of the pyramid in terms of the radius of the cone is [tex]V=\pi r^{3}[/tex]

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g(a) = 4a + 5
f(a) = a² + 2a
Find: g(f(a))

Answers

Step-by-step explanation:

g(f(a))=4(a²+2a) + 5

= 4a²+8a+5

quien me hace una canción de ley de los cosenos de C por favor le doy 100 estrellas y corona​

Answers

Answer:

Step-by-step explanation: all oof it equals to = 2c c2 = b1

the probability that a boy will get scholarship is 0.75 and that a girl will get is 0.72 what is the probability that al least one of them will get scholarship is ?

Answers

The probability that at least one of them will get scholarship is 0.93

How to determine the probability

The given parameters are:

P(Boy) = 0.75

P(Girl) = 0.72

The probability that at least one of them will get scholarship is calculated using

P = P(Boy only) or P(Girl only) or P(Both)

This is then calculated as:

P = 0.75 * (1 - 0.72) + 0.72 * (1 - 0.75) + 0.72 * 0.75

Evaluate the products

P = 0.21 + 0.18 + 0.54

Evaluate the sum

P = 0.93

Hence, the probability that at least one of them will get scholarship is 0.93

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Select all the types of quadrilaterals that describe DEFG.
A parallelogram D trapezoid
B rhombus E rectangle
C square

_________ DEFG maps out Xavier’s running route. If he does one complete loop, how far does he
run? (Each unit represents 1 mile) Round answer to the nearest whole mile. Show work below.

Answers

The quadrilaterals that describe DEFG include parallelogram, rhombus, and square

What is a quadrilateral?

It should be noted that a quadrilateral simply means a close shape and a polygon that has four sides.

In this case, the quadrilaterals that describe DEFG include parallelogram, rhombus, and square. In a parallelogram, it should be noted that the sides are parallel to each other.

Therefore, the quadrilaterals that describe DEFG include parallelogram, rhombus, and square.

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WILL VOTE BRAINLIEST TO THE FIRST CORRECT ANSWER

Answers

Answer:

D

Step-by-step explanation:

The D answer choice is the correct functions needed to create the pictured graph, I have pictured these functions in a graphing calculator below

help please and show work 30 points

Answers

Answer:

The pair of shoes equal 18.

The boat equals 3

The chair equals 4

Step-by-step explanation:

Let x = shoes

You found the palm trees!

So the top picture would be

18 + x = 2x  Subtract x from both sides

18 = x  We found the value of the shoes.

Let's go so the last picture.  We now know the shoes.

Let x = the boat now

18 = 6x  Divide both sides by 6

x = 3  We found the value of the boat.

Finally, let's look at the second picture.

Let x = the chair now

3 + x = 7  Subtract 3 from both sides

x = 4  We found the value of the chair.

In a certain company, there were five candidates running for President. After the vots were tallied, it turned out that Victor, like in the election, finished in thir place, and david beat him. Greg said that he didn't come in first, but he also didn't come in last. Mac in an interview, said that in this election he wasn't able to win, but at least he was one place hight than his old rival Bill. What place did each candidate come in?

Answers

Considering the situation described, the classification of the elections is given as follows, according to their order of finish:

David, Greg, Victor, Mac, Bill.

How to find the classification of the elections?

We take the situation that is described, and build the classification from it. The classification has the following format:

P1 - P2 - P3 - P4 - P5

With P1 being the first placed candidate, P2 being the second placed candidate, and so on until P5 which is the fifth placed candidate.

From the text given in this problem, we have that:

Victor finished in third place, and David beat him, hence P3 = Victor, David = P1 or P2.Greg didn't come in first nor in last, hence, considering that Victor is P3, Greg = P2 or P4.Mac didn't win, but he finished higher than Bill, hence, considering that Mac didn't win and that Victor is P3, Mac = P4, Bill = P5.From the bullet points above, we can conclude that David = P1, Greg = P2.

Hence the classification of the election is given by:

David, Greg, Victor, Mac, Bill.

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Which of these tables represents a function?

Answers

Answer:

A. W

Step-by-step explanation:

Because their is a rhythm and pattern

The answer is W because with a function, you can’t have the same input going to a different output (like in the x y and z tables) but you can have a different input going to the same output.

42. There are eight squares on each side of a chessboard. How many squares are on a chessboard? Write an expression in exponent form then evaluate.​

Answers

Answer:

Number of the squares on chessboard = 64

Exponent form = [tex]8^{2}[/tex]

Step-by-step explanation:

8 x 8 = 64

exponent form of  of the chessboard

= [tex]8^{2}[/tex]

Suppose a group of 12 students consists of five freshmen and seven sophomores. how many six-student teams can be chosen that consist of three freshmen and three sophomores?

Answers

The number of six-student teams possible where a team consists of three freshmen and three sophomores, from a group of 12 students consisting of five freshmen and seven sophomores using combinations is computed to be 350.

The combination is a process of calculating the number of ways of selecting a smaller set, from a larger set, when the order of selection is irrelevant.

In selecting x number of items, from n number of items, when the order of selection is irrelevant, we use the combination, to calculate the number of possible ways as follows:

nCx = n!/{(x!)((n - x)!)}.

In the question, we are asked for the number of six-student teams possible where a team consists of three freshmen and three sophomores, from a group of 12 students consisting of five freshmen and seven sophomores.

The number of ways of selecting 3 freshmen from 5, using a combination is:

5C3 = 5!/{(3!)((5 - 3)!} = 120/{6*2} = 120/12 = 10.

The number of ways of selecting 3 sophomores from 7, using a combination is:

7C3 = 7!/{(3!)((7 - 3)!} = 5040/{6*24} = 5040/144 = 35.

The total number of teams possible is the product of each.

Thus, the total number of teams  possible is 5C3 * 7C3 = 10*35 = 350.

Thus, the number of six-student teams possible where a team consists of three freshmen and three sophomores, from a group of 12 students consisting of five freshmen and seven sophomores using combinations is computed to be 350.

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PLS HELP ASAP
Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base 25\text{ m}25 m25, start text, space, m, end text and height 30\text{ m}30 m30, start text, space, m, end text.

Answers

Answer:

  see attached

Step-by-step explanation:

Each grid square represents 5 m, so the distances shown on the grid will be scaled appropriately.

Scale drawing

The 25 m base dimension will be represented by (25 m)/(5 m/square) = 5 squares.

The 30 m height dimension will be represented by (30 m)/(5 m/square) = 6 squares.

The attached drawing shows the triangle with base 25 m and height 30 m on a 5 m grid.

please help with algebra 2 question! arithmetic sequence

erica is playing a card game with her friend marquis. her points are shown in the following table:

round 1: 30 pts
round 2: 42 pts
round 3: 58.8 pts

marquis’s points in each round are represented by the following sequence:
50, 75, 112.5,…

in the table below, determine whether each row applies to eeica’s points or marquis’s points. select erica, marquis, or neither option.

(answers attached in pic) pls help!

Answers

Answer:

neitherMarquisEricaMarquis

Step-by-step explanation:

The matching of exponential functions to table values involves matching both initial values and rate of growth. The value of a geometric series can be calculated from its formula, or can be shown by a calculator or spreadsheet.

Function determination

The starting values of the two sequences are different, as are all of the starting values of the answer choices. Matching starting values is sufficient to identify which sum goes with which player.

The series ...

  [tex]\displaystyle S=\sum_{k=1}^n{AB^{k-1}}[/tex]

gives the sum of a geometric sequence with first term A and common ratio B.

The first term of Erica's series is A=30. The ratio is B=42/30 = 1.4.

The first term of Marquis's series is 50. The ratio is B=75/50 = 1.5.

Using these values in the series formula, the total score after n rounds will be ...

  [tex]\displaystyle \text{Erica:}\quad \sum_{k=1}^n{30(1.4)^{k-1}}\qquad\text{matches Row 3}\\\\\text{Marquis:}\quad \sum_{k=1}^n{50(1.5)^{k-1}}\qquad\text{matches Row 2}[/tex]

Total score

The explicit expression for these sums is ...

  [tex]S=A\dfrac{B^n-1}{B-1}[/tex]

Then the total scores after 6 rounds are ...

  Erica: 30(1.4^6 -1)/0.4 = 489.7152

  Marquis: 50(1.5^6 -1)/0.5 = 1039.0625 . . . . . matches row 4

Table

Then the required table gets filled in ...

neitherMarquisEricaMarquis

__

Additional comment

The values in the attached table are total scores after each round. One must subtract the previous round's total to find the points scored in a given round.

The purpose of showing totals is to permit matching the value seen in Row 4 of the table.

The point -2,5 is reflected across the y-axis. Which of these is the ordered pair of the image?
A) (-2,5)
B) (2,5)
C) (-2,-5)
D) (2, -5)

Answers

Answer:

B) (2,5)

Step-by-step explanation:

the right answer would be B

A football is kicked toward the goal. the height of the ball is modeled by the function h(t) = −16t2 64t, where t equals the time in seconds and h(t) represents the height of the ball at time t seconds. what is the axis of symmetry, and how does it relate to the time the ball is in the air? t = 2; it takes the ball 2 seconds to reach the maximum height and 2 more seconds to fall back to the ground. t = 2; it takes the ball 2 seconds to reach the maximum height and 4 more seconds to fall back to the ground. t = 4; it takes the ball 4 seconds to reach the maximum height and 4 more seconds to fall back to the ground. t = 4; it takes the ball 4 seconds to reach the maximum height and 8 more seconds to fall back to the ground.

Answers

The function [tex]H(t) = -16t^2 + 64t[/tex] exists in a parabola.

The axis of symmetry of a parabola exists at the midpoint between the two real roots.

The roots exist the solutions of H(t) = 0

To estimate the roots equation exists [tex]-16t^2 + 64t = 0[/tex]

Factor t(-16t + 64) = 0

t = 0 and -16t + 64 =0

-16t + 64 = 0

t = 64 / 16 = 4

t = 4

Then the two roots are t = 0 and t = 4, and the axis of symmetry exists

t = (0+4)/2 = 4/2 = 2

How to estimate the axis of symmetry?

The axis of symmetry exists at t = 2.

It represents the time at which the ball is at the higher point, the maximum height.

You can find the maximum height replacing t = 2 in the function H(t)

[tex]H(t) = -16(2^2) + 64(2)[/tex]

= 64 feet.

And you can also deduce that the second part of the flight will take 2 seconds, for a total flight time of 4 seconds.

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Answer:

answer is a

Step-by-step explanation:

it takes 2 seconds for the ball to reach maximum height and 2 seconds to fall on the ground.


t = 2; it takes the ball 2 seconds to reach the maximum height and 2 more seconds to fall back to the ground

Took the FLVS test!

Quadilateral ABCD is similar to quadilateral EFGD. Which angle of quadilateral ABCD corresponds to F

Answers

Answer:

< B.

Step-by-step explanation:

B  corresponds to F.

Use interval notation to express the set of real numbers x that satisfies the inequality (x+2)(x-5) < 0.

Answers

The interval notation to express the set of real numbers x that satisfies the given inequality is -2<x<5. You also can represent it as (-2,5)

Inequality

It is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).

The solutions for inequalities can be given by: a graph in a number line or numbers.

For solving this exercise, it is necessary to find a number solution for the given inequality.

First, you should find the critical points of the inequality.

x+2=0

x = -2

and

x-5=0

x=5

Write, the intervals in between critical points. Therefore, -2<x<5.

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Why should outside analysts and investors consider how effectively management has managed the company's tax exposures? Solve: 25x2 30 = 0 round the answer to the nearest hundredth. x = 1.10 and x = 1.10 x = 26.15 and x = 1.15 x = 0 x = 0.83 and x = 0.83 Terry and bryce both live in the same chicago neighborhood, play basketball, and are from italian american families. knowing that terry and bryce share similar fields of experience, you can infer that:_______. Which of the following has the greatestmass?pls look at options One serving of chicken has 148 grams of protein, which is 80% of the recommended daily amount. a man uses a 900 watt electric iron to press his clothes for an average of 4 hours a week for five weeks if the cost of an electric energy is 3 Kobo per unit calculate the cost of electric energy for pressing Advertising, personal selling, sales promotion, public relations, and direct marketing are marketing communications alternatives that collectively make up a marketing organizations:_______. 17 + x =31 i need help Consider the line 4x + 2y = 8.What is the slope of a line perpendicular to this line? Ethan bought 3 pints of raspberries for $5 per pint and x pints of blueberries for $3 per pint. The average15 + 3x3+x15+ 3x dollars per pint. If the equation y ==is graphed in the3+xcost of all the berries he bought wasxy-plane, what quantity will be represented by the y-intercept of the graph?O The total cost, in dollars, of all the raspberries Ethan boughtO The average cost, in dollars per pint, of all the raspberries Ethan boughtO The total cost, in dollars, of all the blueberries Ethan boughtO The average cost, in dollars per pint, of all the blueberries Ethan bought How did the christian church become a major force in europe north america and asia? Recessions in the united states occur with regular, predictable frequency; hence the term "business cycle. " true or false?. Throughout the 1980s and early 1990s, "the household responsibility system? What is one likely explanation for the fact that the 2001 tax cuts favored the wealthiest americans? FREE BRAINLIEST IF YOU ANSWER CORRECTLY & FIRST!!!! ASAP PLEASE!!!Find the surface area of the prism based on the net provided.(Image is attached!!!) -------------------------------------------------------Says the correct answer FIRST = Brainliest, Thanks, 5 stars, and praise.Correct answer = Thanks, 5 stars, and praise.Incorrect answer = 2 stars (Nothing personal).Odd answers like GPUOLFYG or answers that don't make sense = 1 star and report.Links = 1 star and report. culturevaluescultural universalscultural relativismsubculturesocietylanguagePlease select the word from the list that best fits the definitionThe belief that cultures should be judged by their own standards rather than by applying the standards of another culture. what is digestive system? If 2. 0 x 1023 argon {ar) atoms strike 4. 0 cm2 of wall per second at a 90 angle to the wall when moving with a speed of 45,000 cm s-1, what pressure {in atm) do they exert on the wall? Select the correct answer.what did president eisenhower warn Americans of in his farewell address?O A. The perils associated with the policy of containment.O B. The risks of becoming involved in foreign conflictsO C. The hazards of creating additional nuclear weapons O D. The dangers of the military-industrial complex A projectile is fired into the air at a 35o angle to the horizontal and an initial velocity of 120 m/s. what are the x and y components of the velocity vector?