Find the area of a 2.5-by-2.5 square by splitting it into unit squares.

Answers

Answer 1

The area of 2.5 by 2.5 square is given as follows:

6.25 square units.

How to obtain the area of a square?

The area of a square of side length s is given by the square of the side length, as follows:

A = s².

For this problem, we have 2.5 by 2.5 square, hence the side lengths are given as follows:

s = 2.5.

Then the area of 2.5 by 2.5 square is obtained applying the formula as follows:

A = 2.5²

A = 6.25 square units.

This means that the entire 2.5-by-2.5 square can be divided into 6.25 unit squares, in which each of them would have a side length of one unit.

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Related Questions

At rolling hills middle school the ratio of the total number of students to the number of students with pets is 3 to 1 if there are 243 students at the school how many students have pets

Answers

If there are 243 students at the school, then there are 81 students at Rolling Hills Middle School who have pets.

If the ratio of the total number of students to the number of students with pets at Rolling Hills Middle School is 3 to 1, this means that for every 3 students at the school, there is 1 student with a pet.

Let's represent the total number of students at the school as "3x" (since the ratio is 3 to 1, we can use any multiple of 3 as a placeholder for the total number of students), and the number of students with pets as "x". Therefore, we can write the following equation:

3x : x = 3 : 1

To solve for x, we can cross-multiply:

3x * 1 = x * 3

3x = 3x

We can see that the equation is true for any value of x, which means that there are many possible solutions. However, since we know that the total number of students at the school is 243, we can use this information to solve for x:

3x = 243

x = 81

Therefore, there are 81 students at Rolling Hills Middle School who have pets.

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the points on the graph show how much chee pays for different amounts of noodles, complete the statement about the graph

Answers

Using graphs,

The ordered pair, (6,15) represents here the cost of 6 pounds of noodles that is $15.

What are graphs?

A structured representation of the data is all that the graph is. It assists us in comprehending the info. Data are the numerical details gathered by observation. Data is a derivative of the Latin term datum, which means "something provided."

Data is continuously gathered through observation once a research question has been formulated. After that, it is arranged, condensed, and categorised before being graphically portrayed.

Here in the question,

As we can see that the graph is a relation between the number of noodles in pounds and the cost of noodles in dollars has been given and compared.

So, as per the question,

The ordered pair that represents here the cost of 6 pounds of noodles is (6,15).

As, from the graph:

When noodles in pounds is 6, cost in dollars is 15.

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The complete question is:

the points on the graph show how much chee pays for different amounts of noodles, complete the statement about the graph

Mary bought 8 blouses and 3 skirts for a total of $120.00. Kristy bought 5 blouses and 5 skirts at the same prices for a total of $112.50. What is the cost of each blouse and each skirt?

Answers

After solving the equations we know that the price of each blouse and each skirt is $25 and $30 respectively.

What are equations?

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.

As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

So, the cost of each blouse and skirt:

x be the price of one blouse and y is the price of one skirt.

For a total of $215, Carol purchased 3 skirts and 5 blouses.

5x + 3y = 215

For a total of $135, Ellen purchased 2 skirts and 3 blouses.

3x + 2y = 135

By resolving the equations in the system:

5x + 3y = 215

3x + 2y = 135

We will obtain:
x = $25

y = $30

Therefore, after solving the equations we know that the price of each blouse and each skirt is $25 and $30 respectively.

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Correct question:

Carol bought 5 blouses and 3 skirts for a total of $215. At the same time, her sister Ellen bought 3 blouses and 2 skirts for a total of $135. What was the price of each blouse and each skirt?

Solve the equation
1/4xln(16q^8)-ln3=ln24

Answers

We can claim that after answering the above question, the Therefore, the solution to the original equation is: [tex]q = 9^x\\[/tex]

What is equation?

In mathematics, an equation is a statement that states the equality of two expressions. An equation consists of two sides separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" states that the sentence "2x Plus 3" equals the value "9". The goal of solving equations is to find the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complex, linear or nonlinear, and contain one or more parts. For example, in the equation "x2 + 2x - 3 = 0," the variable x is raised to the second power. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.

given equation:

[tex]1/4xln(16q^8) - ln3 = ln24\\1/4xln(16q^8) = ln(24 * 3)\\1/4xln(16q^8) = ln72\\ln(16q^8)^(1/4x) = ln72\\16q^8^(1/4x) = 72\\16q^8 = 72^(4x)\\ln(16q^8) = ln(72^(4x))\\[/tex]

[tex]ln(16) + ln(q^8) = 4x ln(72)\\ln(q^8) = 4x ln(72) - ln(16)\\ln(q^8) = ln(72^(4x)) - ln(16^1)\\ln(q^8) = ln((72^(4x))/16)\\q^8 = e^(ln((72^(4x))/16))\\q^8 = (72^(4x))/16\\q^8 = 9^(8x)\\q = 9^x\\[/tex]

Therefore, the solution to the original equation is:

[tex]q = 9^x\\[/tex]

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There are 14 muffins in a basket Tina put some on a plane now there are six in the basket. How many muffins does Tina put on the plate?




Answers

Answer:

Step-by-step explanation:

All you have to do is subtract 6 from 14. The answer is 8. If the question is something like this one, always take the remainder and subtract it from how many you had in the beginning to get the answer.

Good luck

Peyton

why does the gcf of the variables of a polynomial have the least exponent of any variable term in the polynomial brainly

Answers

The GCF (Greatest Common Factor) of the variables of a polynomial has the least exponent of any variable term in the polynomial because it represents the largest factor that is common to all the terms in the polynomial.

To understand this better, consider a polynomial like 6x²y³ + 9x³y². The GCF of this polynomial would be 3x²y², which is the largest factor that can divide both terms evenly.

Notice that the exponent of each variable in the GCF is the smallest exponent among the corresponding variable terms in the polynomial.

This is because any factor that is common to all terms in the polynomial must be able to divide each term without leaving a remainder. Therefore, the exponent of each variable in the GCF must be less than or equal to the exponent of that variable in every term of the polynomial.

In summary, the GCF of the variables of a polynomial has the least exponent of any variable term in the polynomial because it represents the largest factor that can divide all terms in the polynomial evenly, and therefore, it must have the smallest exponent of each variable among all terms in the polynomial.

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Are the ratios 4:3 and 5:4 equivalent?

Answers

Answer:

They're not promise

Step-by-step explanation:

I did it on the calculator

I hope this helps youuu

Have a good day <3

No they are not equivalent

Here are all the ratios that match 4:3
4 : 3
8 : 6
12 : 9
16 : 12
20 : 15
24 : 18
28 : 21
32 : 24
36 : 27
40 : 30
44 : 33
48 : 36
52 : 39
56 : 42
60 : 45
64 : 48
68 : 51
72 : 54
76 : 57
80 : 60
84 : 63
88 : 66
92 : 69
96 : 72
100 : 75
104 : 78
108 : 81
112 : 84
116 : 87
120 : 90
124 : 93
128 : 96
132 : 99
136 : 102
140 : 105
144 : 108
148 : 111
152 : 114
156 : 117
160 : 120
164 : 123
168 : 126
172 : 129
176 : 132
180 : 135
184 : 138
188 : 141
192 : 144
196 : 147
200 : 150
204 : 153
208 : 156
212 : 159
216 : 162
220 : 165
224 : 168
228 : 171
232 : 174
236 : 177
240 : 180
244 : 183
248 : 186
252 : 189
256 : 192
260 : 195
264 : 198
268 : 201
272 : 204
276 : 207
280 : 210
284 : 213
288 : 216
292 : 219
296 : 222
300 : 225
304 : 228
308 : 231
312 : 234
316 : 237
320 : 240
324 : 243
328 : 246
332 : 249
336 : 252
340 : 255
344 : 258
348 : 261
352 : 264
356 : 267
360 : 270
364 : 273
368 : 276
372 : 279
376 : 282
380 : 285
384 : 288
388 : 291
392 : 294
396 : 297
400 :300

Please help!!

The mayoral election results for the town of Gainesville are shown in the table below.
Election Results for Jainsville
30 and Under
31-40
41-50
51-60
61-70
71 and Over
New
Conservative Democratic Liberal
3,112
1,213
1,991
2,313
1,101
1,233
1,445
422
874
423
899
75
343
623
713
1,134
1,221
2,346
Voters were able to vote for one of three candidates, each represented by one of the three
parties shown in the table. Each voter was given a six-digit identification number. What is the
probability that if an identification number is randomly chosen, a 50-year-old or older voter from
the winning party will be chosen from the pool of voters? Round your answer to the nearest
hundredth of a percent.

Answers

The probability of randomly chosen, a 50-year-old or older voter from the winning party is 45.84%

The probability of randomly chosen, a 50-year-old or older voter

Given the table of values

From the table of values, we have the winning party to be

New Democratic

From the column of New Democratic, we have

Total = 9422

50-year-old or older voter = 4319

So, the required probability is

Probbaility = 4319/9422

Evaluate

Probbaility = 0.45839524517

This gives

Probbaility = 45.839524517%

Approximate

Probbaility = 45.84%

Hence, the probability is 45.84%

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Solve for x. Round to the nearest tenth of a degree, if necessary.


please help me I will give brainliest to whoever helps me

Answers

Answer: x= 71

Step-by-step explanation:

Since each triangle has a sun of all the angles to equal 180, we can figure what is X.

how many ways can rudy choose 5 pizza toppings from a menu of 20 toppings if each topping can only be chosen once?

Answers

20x19x18x17x16
Each time she can choose one less type of toppings.

For what values of x and y is PQRS a parallelogram?

P x+9 Q x+7 R 2x-1 S y

Answers

The values for the variables x and y in the parallelogram are equal to 10 and 17 respectively.

How to evaluate for the variables x and y in the parallelogram

The parallelogram OPSR have two pairs of parallel sides hence OP = RS and PS = OR.

We shall evaluate for variables x and y as follows:

2x - 1 = x + 9

2x - x = 9 + 1 {collect like terms}

x = 10

y = x + 7

y = 10 + 7 {substituting 10 for x}

y = 17

Therefore, the values for the variable x and y in the parallelogram are equal to 10 and 17 respectively.

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Please help and please hurry

Answers

The answer is 59

6^2 + 23 = 59

how many distinct sequences of letters can you make if each sequence is ten letters long and contains the subsequence die.

Answers

The number of distinct sequences of letters is 8 × 26⁷.

How many distinct sequences of letters can you make if each sequence is ten letters long and contains the subsequence die?

We have to find the number of distinct sequences of letters that can be made. Here, the word 'die' can occur in any position of the ten-letter sequence. Therefore, we have to find the number of distinct sequences of seven letters that can be formed, which are not related to the word 'die'. The number of distinct sequences of seven letters that can be formed with no restrictions is:

26 × 26 × 26 × 26 × 26 × 26 × 26 = 26⁷

The word 'die' has three letters, and it can be placed in any of the eight positions of the seven-letter sequence (that is not related to the word 'die'). We have a total of 8 possibilities to choose where to put the word 'die'.Thus, the number of distinct sequences of letters is:

8 × 26⁷ (or) 703, 483, 260, 800.

The number of distinct sequences of letters is 8 × 26⁷.

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i need help ASAP
Calculate the amount of interest on $2,000.00 for 4 years, compounding daily at 2.25 % APR.

From the Monthly Interest Table use $1.094171 in interest for each $1.00 invested



A $2,088.34

B $2188.34

C $2,288.34

D $2,388.34

Answers

Answer:

Step-by-step explanation:

First, we need to calculate the annual interest rate from the given APR.

APR = 2.25%

Daily interest rate = 2.25% / 365 = 0.00616438

Now, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal (initial amount)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = time in years

In this case, P = $2,000, r = 0.00616438, n = 365 (daily compounding), and t = 4.

A = 2000(1 + 0.00616438/365)^(365*4)

A = 2000(1.00616438)^1460

A = $2,388.34 (rounded to the nearest cent)

Therefore, the answer is option D) $2,388.34.

what moves beyond excel graphs and charts into sophisticated analysis techniques such as controls, instruments, maps, time-series graphs, and more?

Answers

Answer:

Data Visualization Tools

Step-by-step explanation:

the adaptive-response-rate single exponential smoothing model is best applied to time series data that are multiple choice non stationary. stationary and non seasonal. seasonal. stationary and seasonal. seasonal and nonstationary.

Answers

The adaptive-response-rate single exponential smoothing model is best applied to time series data that are non stationary and seasonal which means option D is the right answer.

The adaptive response rate single exponential smoothing model is used to demonstrate the changes in the forecasting data and the fluctuation in data values with respect to time which are smoothened by a coefficient. The larger the coefficient, the greater the smoothing effect.

This kind of model is ineffective for stationary time series as it takes into account the smoothing of the information. Adaptive smoothing is computationally difficult. Exponential smoothing produces accurate forecasts. The forecast shows projected demand and actual demand.

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Solve the system of equations.

–6x + y = –21

2x − 1
3
y = 7

What is the solution to the system of equations?
(3, 3)
(2, –9)
infinitely many solutions
no solutions

Answers

The closest option is (A) (3,3), which is the correct solution to the system of equations.

Equations

To find the solution to the system of equations, we need to substitute the value of y in the first equation with the value given in the second equation:

-6x + y = -21 ...(1)

2x - 1/3 y = 7 ...(2)

Substituting y=7 in the first equation, we get:

-6x + 7 = -21

Simplifying the above equation:

-6x = -28

Dividing both sides by -6, we get:

x = 28/6 = 14/3

Substituting x=14/3 and y=7 in the second equation, we get:

2(14/3) - 1/3(7) = 7

Simplifying the above equation, we get:

28/3 - 7/3 = 7

21/3 = 7

Therefore, the solution to the system of equations is (14/3, 7).

Hence, the answer is not in the given options, but the closest option is (A) (3,3), which is not the correct solution to the system of equations.

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Determine a series of transformations that would map Figure D onto Figure E.

Answers

Figure E is a rotated and reflected version of Figure D that has been shifted to the right and up as a result of this transformation sequence.

What is a transformation sequence called?

The sequence transformation (which may be dependent on n). This is known as a linear sequence transformation. Nonlinear sequence transformations are nonlinear sequence transformations.

We can use the following transformations to map Figure D onto Figure E:

Figure D should be translated 4 units to the right and 1 unit up.

Figure D should be rotated 90 degrees clockwise around the origin.

Cross the y-axis with the resulting figure.

This transformation sequence results in Figure E, which is a rotated and reflected version of Figure D that has been shifted to the right and up.

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what is an equivalent expression to 4x(2x-3)-5(3x-4)

Answers

Answer:4x + 3x + 2x - 4 - 3

Step-by-step explanation:Hope this helps

Rewrite the following equation in slope-intercept form. Y + 5 = 1 7 ( x + 7 )

Answers

Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

solve for x, using a tangent and secant line

Answers

Check the picture below.

[tex]x^2=(8+2)(2)\implies x^2=20\implies x=\sqrt{20}\implies x\approx 4.5[/tex]

The value of x is 4.5 rounded to the nearest tenth.

What is Tangent and Secant of a Circle?

Tangent of a circle is defined as the line which passes through exactly one point on the circle.

Secant of a circle is the line which passes through two points on the circle.

Secant-Tangent Rule states that if a tangent and a secant are drawn to a circle from the same point outside the circle, then the square of the length of the tangent segment is equal to the product of the lengths of secant and the segment of secant outside the circle.

Using the theorem, we can say here that,

(8 + 2) 2 = x²

x² = 10 × 2

x² = 20

x = √20

x = 4.472 ≈ 4.5

Hence the value of x is 4.5.

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Write the equation of the parabola which has its vertex at (0, 5) and passes through the point (1, 0)

Answers

y = -5x² + 5 is the equation of the parabola which has its vertex at (0, 5) and passes through the point (1, 0)

We know that the vertex of the parabola is (0, 5), which means that the equation for the parabola has the form:

y = a(x - 0)² + 5

where 'a' is a constant that determines the shape of the parabola. Since the parabola passes through the point (1, 0), we can substitute these values into the equation and solve for 'a':

0 = a(1 - 0)² + 5

0 = a + 5

a = -5

Therefore, the equation of the parabola is: y = -5x² + 5

This equation represents a parabola that opens downwards (since the coefficient of x² is negative), has a vertex at (0, 5), and passes through the point (1, 0).

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Can you help me with this

Answers

Answer:c

Step-by-step explanation:

Answer: C

Step-by-step explanation:

a horizontal curve is to be designed with a 2000 feet radius. the curve has a tangent length of 400 feet and its pi is located at station 103 00. determine the stationing of the pt.

Answers

A horizontal curve is to be designed with a 2000 feet radius. The curve has a tangent length of 400 feet and its pi is located at station 103+00. Determine the stationing of the PT.

A horizontal curve is a curve that is used to provide a transition between two tangent sections of a roadway. To connect two tangent road sections, horizontal curves are used. Horizontal curves are defined by a radius and a degree of curvature. The curve's radius is given as 2000 feet. The tangent length is 400 feet.

The pi is located at station 103+00.

To determine the stationing of the PT, we must first understand what the "pi" means. PC or point of curvature, PT or point of tangency, and PI or point of intersection are the three primary geometric features of a horizontal curve. The point of intersection (PI) is the point at which the back tangent and forward tangent of the curve meet. It is an important point since it signifies the location of the true beginning and end of the curve. To calculate the PT station, we must first determine the length of the curve's arc. The formula for determining the length of the arc is as follows:

L = 2πR (D/360)Where:

L = length of the arc in feet.

R = the radius of the curve in feet.

D = the degree of curvature in degrees.

PI (103+00) indicates that the beginning of the curve is located 103 chains (a chain is equal to 100 feet) away from the road's reference point. This indicates that the beginning of the curve is located 10300 feet from the road's reference point. Now we need to calculate the degree of curvature

:Degree of curvature = 5729.58 / R= 5729.58 / 2000= 2.8648 degrees. Therefore, the arc length is:

L = 2πR (D/360)= 2π2000 (2.8648/360)= 301.6 feet.

The length of the curve's chord is equal to the length of the tangent, which is 400 feet. As a result, the length of the curve's long chord is: Long chord length = 2R sin (D/2)= 2 * 2000 * sin(2.8648/2)= 152.2 feet To determine the stationing of the PT, we can use the following formula: PT stationing = PI stationing + Length of curve's long chord= 10300 + 152.2= 10452.2Therefore, the stationing of the PT is 10452+2.

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Pls help answer with good detailed explanation

Answers

C is correct 2 divided by 9 is .2222222

if 10 friends are going to occupy 10 seats in shuttle on the way to the airport, how many different ways can they arrange themselves in the shuttle? provide your answer below:

Answers

If 10 friends are going to occupy 10 seats in a shuttle on the way to the airport, then they can arrange themselves in the shuttle in 10! or 3,628,800 ways.

Step-by-step explanation: There are 10 friends and 10 seats to be occupied in a shuttle.

Therefore, the number of ways to arrange the 10 friends in 10 seats is given by 10! (10 factorial), which is calculated as follows: 10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1= 3,628,800

Therefore, 10 friends can arrange themselves in the shuttle in 3,628,800 ways.

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carlos and juan take 5 hours to do a job. carlos alone takes 8 hours to do the same job. how long would it take juan to do the same job alone?

Answers

13.33 hrs long would it take juan to do the same job alone.

Here, we have,

given that,

carlos and juan take 5 hours to do a job.

carlos alone takes 8 hours to do the same job.

let, x hr long would it take juan to do the same job alone.

now, we have,

1 hr work of carlos = 1/8

1 hr work of juan = 1/x

1 hr work of both = 1/8 + 1/x = (x+8)/8x

we have,

So they together can do this job in = 5 hours

so, ATQ, we get,

(x+8)/8x = 1/5

or, (5x+40) = 8x

or, 3x = 40

or. x = 13.33

Hence, 13.33 hrs long would it take juan to do the same job alone.

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2x + y = -7
3x = 6 + 4y
x = ?
y = ?

Answers

2x + y = -7

y= -7-2x

put this value in 2nd equation

3x=6+4(-7-2x)

3x=6-28-8x

11x= -22

x= -2

y= -7-2(-2)

y= -7+4

y= -3

If you add two positive numbers together, which of the following is true about the result?

Answers

Answer:

If you add two positive numbers together you will get a positive.

Step-by-step explanation:

in a survey, 69% of americans said they own an answering machine. if 15 americans are selected at random, find the probability that exactly 7 own an answering machine. round your answer to three decimal places.

Answers

Rounding to three decimal places, the probability that exactly 7 Americans out of a sample of 15 own an answering machine is approximately 0.170.

To find the probability that exactly 7 of the 15 Americans selected at random own an answering machine, we can use the binomial distribution formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

where P(X = k) is the probability of getting exactly k successes, n is the sample size, p is the probability of success, and (n choose k) is the binomial coefficient which represents the number of ways to choose k successes out of n trials.

In this case, n = 15, p = 0.69 (the proportion of Americans who own an answering machine), and k = 7. Thus, the probability of getting exactly 7 Americans who own an answering machine out of a sample of 15 is:

P(X = 7) = (15 choose 7) * 0.69^7 * (1 - 0.69)^(15 - 7)

Using a calculator or statistical software, we can evaluate this expression to find:

P(X = 7) ≈ 0.170

This means that if we were to repeat this survey many times with samples of size 15, we would expect approximately 17% of the samples to have exactly 7 Americans who own an answering machine.

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According to Will Rogers, how did people buyin the "old days?" What changed? Help Pleasem-6=50i need to find the value of mplease urgent A particle of mass 1. 2 kg is moving with speed of 8 ms inn a straight line on a horizontal table. A resistance force is app. Lied to the particle in the direction of the motion. The magnitude of the force is proportional to the square of the speed, ao that F=0,3v^2 according to consensus research, in which direction do pain signals travel to contribute to the experience of pain? a chemist determined by measurements that moles of magnesium participated in a chemical reaction. calculate the mass of magnesium that participated in the chemical reaction. which statement best describes the reason for the use of trench warfare in world war i? responses soldiers dug into the ground to protect themselves from machine gun and mortar fire. soldiers dug into the ground to protect themselves from machine gun and mortar fire. soldiers dug into the ground to protect themselves from the weather. soldiers dug into the ground to protect themselves from the weather. the soldiers needed a large enough space in which to bury all of their dead comrades. the soldiers needed a large enough space in which to bury all of their dead comrades. the soldiers wanted a clear line from which to launch their offensives. the soldiers wanted a clear line from which to launch their offensives. the rotational speed of a flywheel increases by 40%. by what percent does its rotational kinetic energy increase? explain your answer. originally from jamaica in the west indies, which harlem renaissance writer lived mainly in the new york neighborhood of greenwich village? the nurse is conducting an assessment on a newborn and witnesses a startled response with the extension of the arms and legs. the nurse should document this as which response? dean and emma are nonidentical twins separated at birth and brought up in different households. their iq scores are most likely a load of 12 kg stretches a spring to a total length of 15 cm, and a load of 30 kg stretches it to a length of 18 cm. find the natural (unstretched) length of the spring. what do we call the system of human communication based on a set of symbols and signs with learned and shared meanings? a 170-hz sound travels through pure helium. the wavelength of the sound is measured to be 5.92 m. what is the speed of sound in helium? alexis puts dimes and quarters aside for the parking meter. she has a total of 20 coins and they are worth $3.80. how many quarters does alexis have? Which of the following equation will produce the graph shown below three students were applying to the same graduate school. they came from schools with different grading systems. which student had the best gpa when compared to his or her school? Find the volume of a right circular cone that has a height of 20 ft and a base with a radius of 18 ft. Round your answer to the nearest tenth of a cubic foot a mixture of three gases has a total pressure of 1,380 mmhg at 298 k. the mixture is analyzed and is found to contain 1.27 mol co2, 3.04 mol co, and 1.50 mol ar. what is the partial pressure of ar? multiple choice 0.258 atm 301 mmhg 356 mmhg 5,345 mmhg 8,020 mmhg What is the objective of the study?A to disprove people's beliefs about lyingB to find out why people lieC to prove a widely-held hypothesisD) to prove whether lying leads to criminality suppose you have an atwood machine with two different masses m and m. what are the external forces acting on this system?