Ryan measures a rectangle that is 9 feet long and 5 feet wide. Teo measures a rectangle that has an area of 36 square feet. Which rectangle has the greater area/ explain

Answers

Answer 1

Answer:

Teo's rectangle has the greater area.

Step-by-step explanation:

Since a rectangle has the same opposite sides of parallel sides, you need to add or multiply 9 times 9 or 9 + 9 and 5 times 5 or 5 + 5. 9 x 9 or 9 + 9 equals 18, and 5 + 5 or 5 x 5 equals 10. Then, 18 and 10 is to be added. 18 + 10 is 28. So, that means Teo's rectangle has the greater area because, 28 is less than 36.

Answer 2
Final answer:

To compare the areas of the rectangles, calculate the area of each rectangle. Ryan's rectangle has a greater area of 45 square feet compared to Teo's rectangle which has an area of 36 square feet.

Explanation:

To compare the areas of the two rectangles, we need to calculate the area of each rectangle. The area of a rectangle is found by multiplying its length by its width. For Ryan's rectangle, the length is 9 feet and the width is 5 feet, so the area is 9 feet × 5 feet = 45 square feet. For Teo's rectangle, we are given that the area is 36 square feet. Since 45 is greater than 36, Ryan's rectangle has the greater area.

Learn more about Comparing Areas of Rectangles here:

https://brainly.com/question/19298480

#SPJ2


Related Questions

Solve the equation:
x² – 2x² – 15x=0

Answers

Answer: x=0, x²=0

Step-by-step explanation:

Answer:

x=3 and x=5/2

Step-by-step explanation:

What’s the area of this?

Answers

Answer:

25.5

Step-by-step explanation:

[tex]A_{t} = \frac{1}{2} * (6 + 3) * (5 + 2) = 31.5\\\\A_{r} = 2 * 3 = 6\\\\A = A_{t} - A_{r} = 31.5 - 6 = 25.5[/tex]

Which cone has a volume of 24pie cm³? Need this done asap!​

Answers

Step-by-step explanation:

volume of a cone is given by

[tex] \frac{\pi {r}^{2}h }{3} [/tex]

1st cone,

B= 25π cm²

πr²=25π

r²=25

r=5

Here, volume = π(5)²×3.5/3

=29.1π cm³

2nd cone,

r=3cm

Here, volume = π(3)²×6.5/3

= 19.5π cm³

3rd cone,

r= 4cm

Volume = π(4)²×4.5/3

=24π cm³

4th cone,

B=4π cm²

r²=4

r=2

volume = π(2)²×7.5/3

= 10π cm³

So, the third cone has vol 24π cm³

Explain how the product 1\2 ×1\3 relates to the model

Answers

Final answer:

The product 1/2 x 1/3 equals 1/6, which can be visualized using a two-dimensional model where a rectangle is divided into halves and then thirds, resulting in 1/6 of the total area.

Explanation:

The product 1/2  times 1/3 can be understood through a two-dimensional model. If you take a rectangle and divide it into 2 equal parts, taking 1/2 of the whole, and then divide one of those halves into 3 equal parts, taking 1/3 of that half, you will have 1 out of the 6 equal parts of the original rectangle, which is 1/6, the product of 1/2 and 1/3.

To visualize this process, imagine a bar or a piece of chocolate that is first divided down the middle, and then one of those halves is divided into 3 equal pieces.

Taking one of these smaller pieces represents 1/6 of the original chocolate bar. In mathematical terms, when we multiply fractions, we multiply the numerators ( 1 times 1) to get the numerator of the product, and the denominators (2 times 3) to get the denominator of the product, yielding 1/6 as the answer. This demonstrates the first partial product principle, where in this case the third vector (1/3) is multiplied by the scalar product of 1/2.

$9.60 for 4 pounds i need help

Answers

hey bro, what do you mean by this question?

do you want to convert 9.60 dollars into pounds? if so then right now the exchange rate for dollars to pounds is 0.80. So you will do this (0.80)(9.60)=7.68

If you mean pounds like how much something weighs then all you need to do is just divide 9.60 by 4 = 2.4 which means $2.4 per pound.

2. The number of years that Elijah has been on the soccer team is 2 less than 5 times the number of years that Deaundre
has. In total, the boys have been on the soccer team for 10 years. How long has Elijah been on the soccer team?

Answers

The Elijah have been on the soccer team for 8 years.

Step-by-step explanation:

Let,

The number of years that Deaundre have been on the soccer team  "x".The number of years that Elijah have been on the soccer team = 2 less than 5 times the number of years that Deaundre.The number of years that Elijah have been on the soccer team = 5x - 2.

Given that,

The boys have been on the soccer team for 10 years.

Number of years of Deaundre + Number of years of Eliijah = 10 years.

x + (5x-2) = 10

Keep x terms on one side and constants on another side to solve for x value :

6x = 10+2

6x = 12

x = 12/6

x = 2

The Deaundre have been on the soccer team for 2 years.

Substitute x=2 in (5x-2) to find the number of years of Elijah,

5(2)-2 = 8 years.

Therefore, the Elijah have been on the soccer team for 8 years.

A triangular prism has a volume of 350 cubic meters. If the dimensions are tripled what is the volume of the new
prism?​

Answers

Answer:

9450 m³

Step-by-step explanation:

(S1/S2)³ = V1/V2

3³ = V1/350

New Volume = 27 × 350

= 9450 m³

What is the measurement of the unknown fourth interior angle of this quadrilateral? A) 80° B) 95° C) 100° D) 115°

Answers

Answer: The Answer is 100, sorry that you got it so late.

Step-by-step explanation:

What I did

1. Find the difference between the numbers

2. Look through answer choices

3. Because the difference of 80 and 75 was 5, 105 would be 100.

Sorry if this doesn't make sense.

a ladder 20 feet long leans against a building, forming an angle of 71° with the level ground. To the nearest foot, how high up the wall of the building does the ladder touch the building?

Answers

The wall is 18.79 feet high from the ground.

Data;

Length of ladder = 20ftangle of elevation = 71 degreeslength of the wall = ?

Trigonometric Ratio

To solve this problem, we need to use trigonometric ratio SOHCAHTOA in which we can find the missing side.

if we draw an illustration of this question, we would get

hypothenuse = 20ftangle = 71 degreesopposite = ?

Using the sine angle ratio,

[tex]sin\theta=\frac{opposite}{hypothenuse}\\sin71=\frac{x}{20}\\ x=20sin71\\x=18.79ft[/tex]

The wall is 18.79ft high

Learn more on trigonometric ratios here;

https://brainly.com/question/4326804

To calculate the height the ladder reaches on the wall, we use sine function and find it to be approximately 19 feet.

To find out how high up the wall the ladder touches the building when a 20-foot ladder forms an angle of 71° with the level ground, we can use trigonometry. Specifically, the sine function relates the opposite side to the hypotenuse in a right triangle. The ladder represents the hypotenuse, and the height reached on the wall is the opposite side.

Using the formula:

sin(angle) = opposite/hypotenuse

For this problem:
sin(71°) = height / 20 feet

Now we solve for height:
height = 20 feet × sin(71°)

We can calculate this using a calculator:
height ≈ 20 feet × 0.945
height ≈ 18.9 feet

To the nearest foot, the ladder reaches approximately 19 feet up the wall.

The prism is completely filled with 1750 cubes that have edge length of 15 ft.

What is the volume of the prism?

Answers

The volume of the prism = 14 ft³

Solution:

Number of cubes in the prism = 1750

Edge length of each cube (a) = [tex]\frac{1}{5}[/tex] ft

To find the volume of each cube:

Volume of each cube = a³

                                    [tex]$=\left(\frac{1}{5} \right)^3[/tex]

Volume of each cube [tex]$=\frac{1}{125} \ \text{ft}^3[/tex]

To find the volume of the prism:

Volume of the prism = Volume of each cube × Number of cubes

                                  [tex]$=\frac{1}{125} \ \text{ft}^3\times 1750[/tex]

                                  = 14 ft³

The volume of the prism = 14 ft³

Evaluate n/6 + 2 when n = 12

Answers

Answer:

[tex]\frac{(12)}{2} +2\\6+2=8\\8[/tex]

Hope this helped

Answer:

4

Step-by-step explanation:

 n/6 + 2 when n = 12

n/6 + 2

Replace n with 12

Therefore,

n/6 + 2 = 12/6 + 2

= 2+2

=4

I hope this was helpful, please rate as brainliest

what is y= -3/2x + 4 in standard form

Answers

Answer:

2y + 3x = 8

Step-by-step explanation:

Step 1:  Add 3/2x to both sides

y + 3/2x = -3/2x + 4 + 3/2x

y + 3/2x = 4

Step 2:  Multiply both sides by 2

(y + 3/2x)*2 = 4*2

2y + 3x = 8

Answer:  2y + 3x = 8

The total cost of a boat rental includes the price per hour plus the cost of one full tank of gas. The table below represents the boat rental fees.

No. Of Hours 2 4 6 8

Rental Fee $92$150$208 $266

What is the cost for a full tank of gas?

A. $58
B. $266
C. $34
D. $29

Answers

Answer:

C. $34

Step-by-step explanation:

$58 is added every 2 hours so you just subtract that from $92 since $92 is the price of 2 hours and a full tank of gas.

Eliza bought a meal that cost $12.00. She tipped the waiter 25%of that amount . How much was the tip ?

Answers

You want to find 25% of $12. 25% also equals 1/4. 1/4 of 12 (or 12 divided by 4) is $3.

The question is about calculating a tip which is 25% of a meal cost of $12.00. The tip is calculated by multiplying the total cost of the meal by the tip percentage, converted into decimal form. The answer is $3.00.

Percentage is a mathematical concept used to express a portion of a whole as a fraction of 100. It is a versatile tool in various fields, including finance, statistics, and everyday calculations. To calculate a percentage, you divide a part by the whole and then multiply by 100. Percentages are commonly used to represent proportions, express changes, and compare values, making them vital for analyzing data, understanding discounts, and determining growth rates. In essence, percentages simplify the representation of relative quantities and are fundamental in both practical and academic mathematics.

The subject of the question is Mathematics, specifically Percentage. The student is being asked to calculate 25% of $12.00, which is the cost of Eliza's meal. To calculate the tip, multiply the total meal cost by the percentage of the tip. Here's how we can do it:

Convert the percentage into a decimal: 25% is equal to 0.25 in decimal form.Multiply the total cost of the meal by the decimal: $12.00 * 0.25 = $3.00

So the tip Eliza left for the waiter was $3.00.

Learn more about Percentage here:

https://brainly.com/question/32197511

#SPJ2

what is the unit price of a 16-ounce box of cereal that sells for $2.48?

Answers

Answer:

0.155

Step-by-step explanation:

Answer:

$0.15 per ounce

Step-by-step explanation:

2.48/16 = 0.155

An engineer scale model shows a building that is 3 inches tall. If the scale is 1 inch = 600 feet, how tall is the actual building in feet ?

Answers

Answer:

1800ft tall

Step-by-step explanation:

Solve the system of linear equations using elimination. −2x − y = 3 −9x − y = 17
A) (2, 1) B) (2, −1) C) (−2, 1) D) (−2, −1)

Answers

Answer:

x = -2 , y = 1

Step-by-step explanation:

Solve the following system:

{-2 x - y = 3 | (equation 1)

-9 x - y = 17 | (equation 2)

Swap equation 1 with equation 2:

{-(9 x) - y = 17 | (equation 1)

-(2 x) - y = 3 | (equation 2)

Subtract 2/9 × (equation 1) from equation 2:

{-(9 x) - y = 17 | (equation 1)

0 x - (7 y)/9 = -7/9 | (equation 2)

Multiply equation 2 by -9/7:

{-(9 x) - y = 17 | (equation 1)

0 x+y = 1 | (equation 2)

Add equation 2 to equation 1:

{-(9 x)+0 y = 18 | (equation 1)

0 x+y = 1 | (equation 2)

Divide equation 1 by -9:

{x+0 y = -2 | (equation 1)

0 x+y = 1 | (equation 2)

Collect results:

Answer: {x = -2 , y = 1

Answer:

C) (−2, 1)

Step-by-step explanation:

About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?


1 in 8


1 in 12


1 in 18


1 in 80

Answers

Answer:

The correct answer is B. 1 in 12.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Percentage of the U.S. population that catches the flu each season = 8%

8% = 8/100

2. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?

Let's review together each of the possible answers given:

A. 1 in 8  = 1/2 = 0.125 = 12.5%, this is not the percentage given.

B. 1 in 12  = 1/12 = 0.083 = 8.3%, if we round to 8%, this is the percentage given.

C. 1 in 18  = 1/18 = 0.056 = 5.6%, this is not the percentage given.

D. 1 in 80 = 1/80 = 0.0125 = 1.25%, this is not the percentage given.

The correct answer is B. 1 in 12.

What is the slope of (3, 3) and (-6, -3)

Answers

Answer:

m=2/3

Step by Step Explanation:

x1,y1= 3,-6

x2,y2=3,-3

m={-3-3}           (Fraction Form)

    {-6-3}

Refine:

m={2}{3}

Answer:

Slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Step 1:  Identify x1, x2, y1, y2

Slope Formula:  [tex]\frac{y2-y1}{x2-x1}[/tex]

(x1, y1) -> (3, 3)

(x2, y2) -> (-6, -3)

Step 2:  Plug into the formula

Slope = [tex]\frac{-3 - 3}{-6 - 3}[/tex]

Slope = [tex]\frac{-6}{-9}[/tex]

The top negative sign and the bottom negative sign cancel to make a positive number.

Slope = [tex]\frac{-6}{-9}[/tex]

Slope = [tex]\frac{6}{9}[/tex]

The top and bottom can be simplified by a factor of 3.

Slope = [tex]\frac{6}{9}[/tex]

Slope = [tex]\frac{6/3}{9/3}[/tex]

Slope = [tex]\frac{2}{3}[/tex]

Answer:  Slope = [tex]\frac{2}{3}[/tex]

Point P is on segment AB such that AP:PB is 4:5. If A has coordinates (4,2), and B has coordinates (22,2), determine and state the coordinates of P.

Answers

The coordinates of P are (12, 2).

Solution:

Given data:

[tex](x_1, y_1)= A (4, 2)[/tex]  and [tex](x_2, y_2)=B(22, 2)[/tex]

P(x, y) is the point on the line segment AB.

AP : PB = m : n = 4 : 5.

That is m = 4 and n = 5.

Section formula:

[tex]$P(x, y)=\left(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n}\right)[/tex]

[tex]$P(x, y)=\left(\frac{4\times 22 + 5\times 4}{4+5}, \frac{4\times 2 + 5\times 2}{4+5}\right)[/tex]

[tex]$P(x, y)=\left(\frac{88 + 20}{9}, \frac{8+10}{9}\right)[/tex]

[tex]$P(x, y)=\left(\frac{108}{9}, \frac{18}{9}\right)[/tex]

P(x, y) = (12, 2)

Hence the coordinates of P are (12, 2).

What are period and amplitude for the function

PLEASE ANSWER BOTH QUESTIONS I WILL GIVE You the

Answers

Answer: Period: 4. Amplitude: 3

Step-by-step explanation: The period is how long it takes for one cycle of the function (one up and down). In this graph, one cycle ends at 4.

The amplitude is how far away the extremes of the graph are from the midline. This graph is a total of 6 units tall, making the amplitude 3. (I usually find total graph height and divide by 2.)

HELP PLEASE !!!!!!!!!!!!!!

Answers

This is the answer for your question above

3/4, find the surface area

Answers

Answer:

1,350 cm^2

Step-by-step explanation:

It's a cube so all faces/bases are the same.

15 × 15 = 225

225 × 6 = 1,350

ted, sam, and jack can do a piece of work in 15, 12 and 20 days respectively. they started the work together, but jack left after 2 days. in how many days will the remaining work be completed by ted and sam?

Answers

Answer:

the answer was 24

Step-by-step explanation:

We can answer with fractions:

1/10 (Jack’s time) +x/15+x/12=1

Then we multiply everything by 15.

1 1/2+x+ 1 1/4x=15

Then we simplify:

2 1/4x=13 1/2

Then we divide both sides by 2 1/4x

x=6

1/10+2/5+1/2=1/10+4/10+5/10=1

So Ted and Sam will take 4 remaining days to finish the work. (6 total days including Jack minus the 2 days he spent working gets you 4 days with just Ted and Sam).

I hope this helps!

what fraction is equivalent to 3/4

Answers

Answer:

6/8

Step-by-step explanation:

3/4 = 6/8 = 9/12 and so on

Answer:

9/12

Step-by-step e

Is (1, 10) a solution to this system of equations?

y = 9x + 1
y = x + 9

Answers

Final answer:

The point (1, 10) satisfies both given equations when substituting x with 1 and y with 10, therefore it is a solution to the system of equations.

Explanation:

To determine if the point (1, 10) is a solution to the given system of equations, we must substitute x with 1 and y with 10 into each equation and see if the equations hold true.

For the first equation y = 9x + 1, substituting gives us:

10 = 9(1) + 1
10 = 9 + 1
10 = 10

This is true, so (1, 10) satisfies the first equation.

For the second equation y = x + 9, substituting gives us:

10 = 1 + 9
10 = 10

This is also true, so (1, 10) satisfies the second equation as well.

Since (1, 10) satisfies both equations, it is indeed a solution to the system of equations.

Let's determine if the point (1, 10) is a solution to the given system of equations by substituting the x and y values from the point into both equations.
The system of equations is:
1. \( y = 9x + 1 \)
2. \( y = x + 9 \)
We are given the point (1, 10), where x = 1 and y = 10.
We'll substitute these values into each equation to check for equality.
First, let's substitute x = 1 and y = 10 into the first equation:
\( y = 9x + 1 \) becomes \( 10 = 9(1) + 1 \), simplifying to \( 10 = 9 + 1 \), which further simplifies to \( 10 = 10 \).
The first equation is satisfied with x = 1 and y = 10.
Next, we'll substitute x = 1 and y = 10 into the second equation:
\( y = x + 9 \) becomes \( 10 = 1 + 9 \), simplifying to \( 10 = 10 \).
The second equation is also satisfied with x = 1 and y = 10.
Since the point (1, 10) satisfies both equations, we can conclude that (1, 10) is indeed a solution to the given system of equations.

I need help with problem 27

Answers

Answer:

0+7-4=3

Step-by-step explanation:

They started with none, hence the 0. "Gained" typically means addition, so you add seven. "Lost" is a signal word for subtraction, so subtract zero. It comes out to 4.

y=x^2-10x-2
Find the equation of the axis of symmetry

Answers

The axis of symmetry would be (5, -27). To find the axis you can use two equations but for this question I used -b/2a. In the equation, the a is 1 and the b is -10. So, you would substitute it in and get 10/2 which would give you x=5. Then, you would substitute it into the equation. Like this —> y=(5)^2-10(5)-2. You would end up with y=25-50-2. This would give you a y of -27 leaving you with the answer (5,-27).

Which of the following statements are true of the parabola shown?
1. It has a directrix of x = -4.
2. It opens to the left.
3. It has a vertex at the origin.
4. The axis of symmetry is the y-axis.
5. It has a focus at (4, 0).

Answers

True statements are:

It has a directrix of x = - 4.It has a focus at (4, 0).

Step-by-step explanation:

We have the following statements to check on whether it's right or wrong:

1. It has a directrix of x = -4:

According to figure , parabola directrix is at -4 i.e. at x = -4 , Therefore this statement is true!

2. It opens to the left:

In figure, Parabola opens to right not left , Therefore this statement is wrong!

3. It has a vertex at the origin:

Vertex of Parabola is at what points not shown in figure. Therefore this statement cannot be confirmed as true.

4. The axis of symmetry is the y-axis:

Axis of symmetry for above parabola is x-axis as it cuts parabola into two equal halves , y-axis doesn't do this ! Therefore this statement is wrong!

5. It has a focus at (4, 0):

Parabola focus is at [tex]F(4,0)[/tex] on x-axis . And so, Therefore this statement is true!

1. True it has a directrix of x = -4; 2. False it opens to the left; 3. False it has a vertex at the origin; 4. True the axis of symmetry is the y-axis; 5. True it has a focus at (4, 0).

In this parabola, the given statements can be evaluated as follows:

1. Directrix : The given directrix is x = -4. The directrix of a parabola is a vertical line that is equidistant from all points on the parabola. In this case, the directrix is to the left of the origin, so it's possible that the parabola opens to the right.

2. Direction of Opening : The parabola cannot open to the left because the given directrix is to the left of the origin. Parabolas open towards their focus or away from their directrix. Since the directrix is to the left, the parabola opens to the right.

3. Vertex : The vertex is the point where the parabola changes direction. The origin (0, 0) is not the vertex in this case, as the parabola opens to the right.

4. Axis of Symmetry: The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two equal halves. Since the parabola opens to the right, its axis of symmetry is the y-axis.

5. Focus : The focus is a point inside the parabola that is equidistant to the vertex and the directrix. The focus should indeed be to the right of the vertex, and at a distance of 4 units, based on the given directrix

x = -4.

Mathematically, the equation of a parabola that opens to the right, with its vertex at the origin, is of the form:

[tex]\[x^2 = 4py\][/tex]

Given that the directrix is x = -4, the distance from the origin to the directrix is 4 units. So, the equation becomes:

[tex]\[x^2 = 16y\][/tex]

The focus is at a distance of p units from the vertex, where [tex]\(p = 4\)[/tex], so the focus is at (4, 0).

In summary, the given parabola opens to the right, has a vertex at the origin, its axis of symmetry is the y-axis, and its focus is at (4, 0), with a directrix of x = -4.

To know more about Parabola here

https://brainly.com/question/32791362

#SPJ3


The graphed line can be expressed by which equation?y+2=23(x+2) y−2=34(x−1) y−1=−34(x−2) y−2=34(x−2)

Answers

For this case we have that by definition, the equation of a line in the point-slope form is given by:

[tex]y-y_ {0} = m (x-x_ {0})[/tex]

Where:

[tex](x_ {0}, y_ {0}):[/tex]It is a point through which the line passes

m: It is the slope of the line

According to the graph we have that the line goes through the following points:

[tex](x_ {1}, y_ {1}) :( 4,2)\\(x_ {2}, y_ {2}): (- 2, -2)[/tex]

We found the slope:

[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-2-2} {- 2-4} = \frac {-4} {- 6} = \frac {2} {3}[/tex]

We choose a point:

[tex](x_ {0}, y_ {0}): (-2, -2)[/tex]

The equation of the line is:

[tex]y - (- 2) = \frac {2} {3} (x - (- 2))\\y + 2 = \frac {2} {3} (x + 2)[/tex]

ANswer:

[tex]y + 2 = \frac {2} {3} (x + 2)[/tex]

Option A

Other Questions
The rate of SN2 reaction of the type Nu- RX -> R-Nu X- can be increased Select one: a. using a solvent of high polarity b. using tertiary substrate c. using weak nucleophile d. using higher concentration of the nucleophile A type of long-range radio transmits data across the Atlantic Ocean. The number of errors in the transmission during any given amount of time approximately follows a Poisson distribution. The mean number of errors is 2 per hour. (a) What is the probability of having at least 3 A solution contains 10. mmol of H3PO4 and 5.0 mmol of NaH2PO4. How many milliliters of 0.10 M NaOH must be added to reach the second equivalence point of the titration of the H3PO4 with NaOH Scientific investigation of the exact effects of environmental steroids on humans is extremely difficult since there are multiple sources of hormones in the environment. Avalid study would require a control group that has not been exposed to the chemicals being studied. Since everyone has had some exposure to environmental hormones, no control group is available to use as a reference Another way to assess the environmental hazard due to storoid hormones is to analyze the amount of residual hormones present following commercial water treatment by water treatment plants Which situation would make researchers suspect that there was an excess of steroid hormones in the environment? 1. An increase in bone fractures in seniors in the area 2. Premature puberty in girls in the area 3. An increase in mutation role in amphibians in the area 4. An increase in foot fungal infections Cher is giving $330 to her grandchildren. She has 10 grandchildrenand each grandchild is going to receive the same amount of money.How much will Cher give to each grandchild? what is the decimal of 3 and 2 thirds A pistoncylinder device initially contains 2 L of air at 100 kPa and 25C. Air is now compressed to a final state of 600 kPa and 150C. The useful work input is 1.2 kJ. Assuming the surroundings are at 100 kPa and 25C, determine (a) the exergy of the air at the initial and the final states, (b) the minimum work that must be supplied to accomplish this compression process, and (c) the second-law efficiency of this process. Louise sold 414 soft pretzels. If she sold them in groups of 18 soft pretzels, how many groups did she sell? Rannilt was euphoric after learning that she had been accepted by the medical school of her choice. After a few weeks, however, she is only mildly happy when she thinks about her admission to medical school. The fact that she is surprised by the change in her feelings can best be explained in terms of In which two ways can a wiki benefit the employees of a business? A case competitions database:You work for a firm that has decided to sponsor case competitions between teams of college business students, and you were put in charge of creating a database to keep the corresponding data. The firm plans to hold about dozens of different regional competitions at various dates that will take place at different branches around the country. For each competition, you need to store a name, date, and the name of the branch where it is going to take place. For each college that has agreed to participate in the competition, you need to store the college name, a contact phone number, and a contact address. Each college can participate in only one competition, and the database should know which competition each college is participating in. On the other hand, each college is allowed to send more than one team to its competition. Each team gives itself a name and a color, and consists of several students of the same college; for each student, you want to store a first name, last name, date of birth, major, and expected graduation date. Question: How many tables do you need what is the habitat of a hummingbird clearwing moth 7. When a snake moves to a sunny place to keep warm, the snake is responding to what kind of stimulus?learnedinnateexternalInternal The expected rate of return for a stock whose next dividend is "DIV1", that has a required rate of return "r" and expects to grow its future dividends at a rate of "g" is ________. r = g r = DIV1/P0 r = DIV1 + P0/g r = (DIV1/P0) + g Find the slope of the line that passes through (-99, -25) and (-98, -62).Simplify your answer and write it as a proper fraction, improper fraction, or integer. Will was asked to speak to his class on the history of the Prussian empire without having any prior knowledge about the topic. Which of the following methods will likely help him most in overcoming his feelings of apprehension?a. carefully prepare & practice frequently b. think positively & visualize the outcome c. practice frequently & breathe deeply d. breathe deeply & carefully prepare Factor the GCF: 12x2y + 6x2y3 9xy? (4 points)3x^2y(4x2 + 2xy - 3)3xy(4x + 2xy - 3y^2)3xy(4x^2 + 2xy 3y^2)3x^2y(4x^3y 2x^2y^2 - 3xy^3) The error in the length of a part (absolute value of the difference between the actual length and the target length), in mm, is a random variable with probability density function 120x2-x 0 x 1 f(x) = 0 otherwise a. What is the probability that the error is less than 0.2 mm? b. Find the mean error. c. Find the variance of the error. d. Find the cumulative distribution function of the error. e.The specification for the error is 0 to 0.8 mm, What is the probability that the specification is met? one parent is homozygous cleft chin and the other is heterozygous. MAKE A PUNNET SQUARE to show the propability in their offspring will be heterozygous for a cleft chin. A heavy turntable, used for rotating large objects, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.876 rad/s2.(a)What is the moment of inertia of the wheel (in kg m2)?_____ kg m2(b)What is the mass (in kg) of the wheel?_________ kg(c)The wheel starts from rest and the tangential force remains constant over a time period of 6.00 s. What is the angular speed (in rad/s) of the wheel at the end of this time period?________ rad/s