Please help ASAP 15 points

Please Help ASAP 15 Points

Answers

Answer 1

Answer:

k= 35 degrees do the very bottom

Step-by-step explanation:

55 + 35 = 90

Answer 2
The answer is k=35 for sure

Related Questions

What is the absolute deviation of the data set 4, 4, 6, 6, 7, 8, 8, 8, 9, 10

Answers

Answer:

Mean absolute deviation = 1.6.

Step-by-step explanation:

The  mean  =  (4+4+ 6+ 6+ 7+ 8+ 8 + 8 +9+ 10) / 10

= 7.

List the differences from the mean:

4 - 7 = -3

-3

-1

-1

0

1

1

1

2

3

Sum of the absolute value of the difference

=  3 + 3 + 1 + 1 + 0 + 1 + 1 + 1 + 2 + 3

= 16.

So the Mean Absolute deviation = 16 / 10 = 1.6.

The base of a triangular prism has an area of 18 square inches . If the height of the prism is 4.5 inches then what is the volume for the prism?

Answers

Answer:

The volume for the triangular prism is 40.5 cubic inches.

Step-by-step explanation:

Given:

The base of a triangular prism has an area of 18 square inches .  

And the height is 4.5 inches.

Now, to get the triangular prism volume.

The base area = 18 square inches.

Height = 4.5 inches.

Now, to get the volume of prism we put formula:

[tex]Volume=\frac{1}{2} \times base\ area\times height\\\\Volume=\frac{1}{2} \times 18\times 4.5\\\\Volume=40.5\ cubic\ inches.[/tex]

Therefore, the volume for the triangular prism is 40.5 cubic inches.

The volume of the triangular prism is 81 cubic inches.

To calculate the volume of a triangular prism, you can use the formula:
Volume = Base Area * Height
Given:
- The base area of the triangular prism is 18 square inches.
- The height of the prism is 4.5 inches.
Plug these values into the formula:
Volume = 18 square inches * 4.5 inches
Multiply these values:
Volume = 81 cubic inches

So, the volume of the triangular prism is 81 cubic inches.

which of the following equations could be used to determine the value of X

Answers

Answer:

D

Step-by-step explanation:

If the original price is x and you deduct 3, you'l have x - 3.

If you buy 4 of them, you multiply that price by 4, giving you 4(x - 3).

Then, if that value is equal to 27, you get 4(x - 3) = 27

Answer:

D

Step-by-step explanation:

We can make each part of the problem into a expression, and combine them.

Part 1: A picture frame that normally costs $x is discounted by 3.

x-3

Part 2: I decided to purchase 4 of the discounted picture frames

4(x-3)

You are buying 4, and each costs x-3.

Part 3: The total cost of the four frames, excluding tax, is $27.

4(x-3)=27

If a rectangular prism has a length, width, and height of 3/8 centimeter, 5/8 centimeter, and 7/8 centimeter, respectively , then the volume of the prism is ____ cubic centimeter

Answers

Answer:

The volume of the prism is cubic [tex]\frac{105}{512}[/tex] centimeters.Step-by-step explanation:Given that a rectangular prism has the following dimensions:[tex]length, l=\frac{3}{8}cm \\\\width, w=\frac{5}{8}cm \\\\height, h=\frac{7}{8}[/tex]We know that a rectangular prism of length 'l', width 'w' and height 'h' is given by[tex]V=w*h *l.[/tex]Therefore, the volume of the given prism will be[tex]V\\\\=w*h*l\\\\=\frac{3}{8}*\frac{5}{8}*\frac{7}{8} \\\\=\frac{105}{512}cm^{3}.[/tex]Thus, the volume of the prism is [tex]\frac{105}{512}[/tex] cubic centimetres.

1)
The aquarium shown has a capacity of 16.8 gallons of water.

How many quarts of water will the aquarium hold? (to a tenth of a quart)
A) 4.2 gallons
B) 33.6 quarts
C) 67.2 quarts
D) 134.4 quarts



2)
How many pints of water will the aquarium hold? (to a tenth of a pint)
A) 33.6 pints
B) 67.2 pints
C) 134.4 pints
D) 268.8 pints

Answers

Answer:

Both are C.

Step-by-step explanation:

16.8 gallons of water is equal to 67.2 quarts and 134.4 pints.

Final answer:

To convert gallons to quarts, multiply the number of gallons by 4, which gives us 67.2 quarts (Option C). To convert gallons to pints, multiply the number of gallons by 8, resulting in 134.4 pints (Option C).

Explanation:

The question pertains to converting units of volume from gallons to quarts and pints. Given that the aquarium has a capacity of 16.8 gallons and knowing that there are 4 quarts in a gallon, we multiply 16.8 by 4 to find the capacity in quarts:

16.8 gallons × 4 quarts/gallon = 67.2 quarts

Next, to find the number of pints, we consider that there are 8 pints in a gallon (since each quart is equivalent to 2 pints, and there are 4 quarts in a gallon). Thus, we multiply:

16.8 gallons × 8 pints/gallon = 134.4 pints

Find the square root(s) (I need a step by step answer)

Answers

Answer:

[tex]\frac{1}{\\3}[/tex]

Step-by-step explanation:

±[tex]\sqrt{ \frac{1}{9}[/tex]  = ± [tex]\frac{\sqrt{1}}{\sqrt{9}}[/tex]  = ± [tex]\frac{1}{3}[/tex]

there is a ± sign as both positive and negative numbers squared are positive, so the answer could be either

Two rectangular pyramids were joined at their bases to form the composite figure. One pyramid has 2 triangular sides with a base of 15 centimeters and height of 16.4 centimeters, and 2 triangular sides have a base of 10 centimeters and height of 17.3 centimeters. The other pyramid has 2 triangular sides with a base of 15 centimeters and height of 23.8 centimeters, and 2 triangular sides with a base of 10 centimeters and height of 24.4 centimeters. What is the surface area of the figure? 1,020 cm2 1,175 cm2 1,325 cm2 2,050 cm2

Answers

Answer:

A) 1020 cm²

Step-by-step explanation:

8 sides

2[(½×15×16.4) + (½×10×17.3) + (½×15÷23.8) + (½×10×24.2)]

2(510)

1020 cm²

Answer:

1020 cm²

Step-by-step explanation:

A = 2×15×16.4/2 + 2×10×17.3/2 + 2×15×23.8/2 + 2×10×24.4/2

= 15×16.4 + 10×17.3 + 15×23.8 + 10×24.4

= 246 + 173 + 357 + 244

= 1020 cm²

Write 9855 in expanded form

Answers

Answer:

9,000+800+50+5

Step-by-step explanation:

Step-by-step explanation:

nine thousand eight hundred fifty five

t

Write an equation in slope-intercept form of the line with the given parametric equations,
x = 8t+3
y= 9t+3

Answers

The equation in slope-intercept from is y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex].

Step-by-step explanation:

Given,

x = 8t+3

y= 9t+3

First, convert both the equations in terms of t for comparison.

x = 8t + 3

x - 3 = 8t

t = [tex]\frac{x-3}{8}[/tex]

Similarly,

y = 9t + 3

y - 3 = 9t

t = [tex]\frac{y-3}{9}[/tex]

Now, comparing both equations

[tex]\frac{x-3}{8}[/tex] =  [tex]\frac{y-3}{9}[/tex]

9x -27 = 8y -24

9x - 3 = 8y

or

y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex]

Hence, the equation in slope-intercept from is y = [tex]\frac{9}{8}x - \frac{3}{8}[/tex].

What is the slope of y = -4?

Answers

the equation describes a horizontal line with a y-intercept of -4. as the line is horizontal, the slope is 0.
Slope=0
Y-intercept=-4

Solve -2/3n<16 which of the following must be true about the inequality and the resulting graph? Select three options.
A. n < -24
B. n > -24
C. The circle is open
D. The circle is closed
E. The arrow points right.

Answers

Answer:

n > -24  The circle is open. The arrow points right.

Step-by-step explanation:

To solve for n, divide both sides by -2/3.

When you divide an inequality by a negative number, reverse the inequality.

Here < becomes >.

Dividing by a fraction is done by multiplying by its reciprocal.

16 ÷ -2/3 becomes 16 × -3/2.   That's -24.

The open circle means not equal to.

n is all the numbers greater than -24, so the arrow points right.

Answer: b d e

Step-by-step explanation:

You go to the store to buy shoes and realize they are marked at 30% off. If the original price
of the shoes is $55, what will the discounted price be?

A. $38.50
B. $53.35
c. $25.00

Answers

Answer:

A

Step-by-step explanation:

70% of 55 is 38.5

or u could do 30% of 55 = 16.5

55 - 16.5 = 38.5

Answer:

Step-by-step explanation:

Discount = 30% of 55

[tex]=\frac{30}{100}*55\\\\=0.3*55\\\\=16.5\\\\[/tex]

= $ 16.50

Price after discount = 55 - 16.50 = $38.50

Which statements are true regarding the area of circles and sectors? Check all that apply.
The area of a circle depends on the length of the radius.
The area of a sector depends on the ratio of the central angle to the entire circle.
The area of a sector depends on pi.
The area of the entire circle can be used to find the area of a sector.
The area of a sector can be used to find the area of a circle.

Answers

Answer:

A, B, D, E

Step-by-step explanation:

Got it right on edge

The area of a circle depends on the length of the radius.

What is a circle?

A circle is the locus of a point such that its distance from a fixed point known as center is always constant.

Area of a circle = π * radius²

Area of a sector = (central angle / 360) * π * radius²

Hence:

The area of a circle depends on the length of the radius.The area of a sector depends on the ratio of the central angle to the entire circle.The area of the entire circle can be used to find the area of a sector.The area of a sector can be used to find the area of a circle.

Find out more on circle at: https://brainly.com/question/24375372

Martin's class needs to raise $1,250 for a river rafting trip. To find how much money each of class members must raise, Martin divides 1,250 by 25. His steps are shown 1.250 25 Step 1: (1,000 + 200 +50) = 25 Step 2: (1,000 - 25) + (200 - 25) + (50 25) Step 3: 400 + 8 + 2 Step 4: 482 In which step did Martin make his first mistake! F Step 1 G Step 2 H Step 3 J Step 4

Answers

Answer:

F) Step 1

Step-by-step explanation:

1,000+200+50=1,250, not 25

Final answer:

Martin made his first mistake in Step 2.

Explanation:

Martin made his first mistake in Step 2.

In Step 2, Martin subtracted 25 from both 1,000 and 200, correctly. However, for the third number, 50 / 25 is actually 2, not 25. Therefore, the correct calculation should be (50 / 25) instead of (50 - 25).

So, the correct calculation in Step 2 should be (1,000 - 25) + (200 - 25) + (50 / 25) = 975 + 175 + 2 = 1,152.

Learn more about Division here:

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Your answer is incorrect.
The diameter, D, of a sphere is 16.8 cm. Calculate the sphere's volume, V.
Use the value 3.14 for , and round your answer to the nearest tenth. (Do not round any intermediate computations.)
V=
?

Answers

Answer:

Using the formula of 4/3pir^3, the answer is

Step-by-step explanation:

1) Divide the diameter by 2

2) Plug into your formula

3) cube root it

4) multiple 4

5) Divide the answer by 3

6) use a calculator to multiple the answer with pi

How many unique triangles can be drawn with side lengths 8 in., 12 in., and 24 in.? Explain.

Answers

Answer:

2

Step-by-step explanation:

To figure this out, you must use the triangle inequality theorem. It says that the sum of 2 sides of the triangle should be more than the third side. If you add 8 and 12, you get less than 24 but if you add 12 and 24 or 8 and 24, you will get more. So, there are only 2 triangles! I hope this helps!

Function- f(x)=-x^2+4x+6
What is the positive difference between the maximums of functions g and f?

Answers

Answer:

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

we have

using a graphing tool

see the attached figure

For x < -1.405 and x > 6.405 the quadratic function begin to exceed the linear function

so

At the positive integer value of x=7 the quadratic function begin to exceed the linear function

Step-by-step explanation:

The positive difference between the maximums of functions g and f is 2

What is the positive difference between the maximums of functions g and f?

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

f(x) = -x² + 4x + 6

So, the x of the vertex is

x = -4/2 * -1

x = 2

So, the maximum is

Max = -2² + 4(2) + 6

Max = 10

From the graoh, we have

Max = 12

So, we have

Difference = 12 - 10

Difference = 2

Hence, the positive difference is 2

Read more about vertex at

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Bella pushes a box to her right. In which direction does the box need to move for Bella to have done work n on it

Answers

Answer:

left

Step-by-step explanation:

if she pushes it right then she would have to push it left back to her to work on it

It needs to move to the left

What is the solution to the system of equations 2x + 3y = 40 and y = x + 10?
x = 2; y = 12

x = 4; y = 14

x = 12; y = 2

x = 14; y = 4

Answers

Answer:

x=2, y=12

STEP BY STEP-

Replace the Y in 2x+3y=40 for X+10, because y=x+10. You now have 2x+3(x+10)=40. Now multiply the X and the 10 by 3, so you have 2x+3x+30=40. Combine like terms to get 5x+30=40. Subtract the 30 on both sides so you get 5x=10. Divide by 5 and that gives you the solution for X (2). Then, plug 2 in for X in the equation y=x+10. You now have Y=2+10. Combine like terms and you get 12, so Y=12.

Sorry that I'm so bad at explaining things

Final answer:

Substitute y = x + 10 into 2x + 3y = 40, simplify to 5x = 10, solve for x, then substitute x into the second equation to find y. The solution is x = 2 and y = 12.

Explanation:

The solution to the system of equations 2x + 3y = 40 and y = x + 10 can be found by substituting the second equation into the first. This is a common method for solving systems of linear equations, which involves elimination and substitution. We substitute y from the second equation into the first to get 2x + 3(x + 10) = 40, which simplifies to 2x + 3x + 30 = 40. After combining like terms, we have 5x = 10, which gives us x = 2. We then substitute x back into the second equation to find y. If x = 2, then y = 2 + 10, which means y = 12.

The restaurant bill was $28 after tax. If you wanted to leave a 8% tip, how much should you leave total?

Answers

I think the top choice would be the correct answer.

____ numbers are useful in solving math problems with money​

Answers

Answer:

Step-by-step explanation:

Decimal numbers

Answer:

Real

Step-by-step explanation:

what is -26.1235+8.75(-48.375)​

Answers

Answer:

449.40475

Step-by-step explanation:

This is actually quite simple.

all you have to do is follow order of operations-pemdas!

Answer:

The answer is -449.40475.

plz help Which statements are true about the circle shown below? Select three options.

A circle with diameter 8 centimeters.
The diameter is 8 cm and the radius is 16 cm.
The circumference of the circle in terms of Pi is 8 pi.
If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.
The circumference of the circle rounded to the nearest whole number is 20 cm.
If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm.

Answers

Answer:

The circumference of the circle in terms of π is 8π.

If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.

If π is approximated to 3.14, the circumference of the circle is 25.12 cm.

Step-by-step explanation:

The circumference of the circle = 2*π*r

r = radius

r = d/2

r= 8cm/2 = 4cm

π = 3.14

The circumference of the circle = 2π(4)= 8π , so we have:

The circumference of the circle in terms of π is 8π.

Using pi = 22/7, we have:

The circumference of the circle = 2* 22/7 * 4 = 8* 22/7 = 25.14 cm, so we have:

If π is approximated to 22/7, the circumference of the circle is approximately 25.14 cm.

Using pi = 3.14, we have:

The circumference of the circle = 2* 3.14 * 4 = 8* 3.14 = 25.12 cm, so we have:

If π is approximated to 3.14, the circumference of the circle is 25.12 cm.

Here we want to see which statement is correct about a circle with a diameter of 8cm.

The correct options are

"The circumference of the circle in terms of Pi is 8 pi.""If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.""If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm."

Things that we must know about circles:

We know that for a circle of diameter D:

The radius is half the diameter, so R = D/2The circumference is pi times the diameter, so C = pi*DThe area is pi times the radius squared: A = pi*R^2

So our circle of diameter of 8cm has:

Radius R = 8cm/2 = 4cmCircumference C = pi*8cm = 3.14*8cm = 25.12cmArea A = pi*(4cm)^2 = pi*16cm^2

And if pi = 22/7, the circumference is:

C = (22/7)*8cm = 25.14cm

Then the correct statements are:

"The circumference of the circle in terms of Pi is 8 pi.""If Pi is approximated to StartFraction 22 over 7 EndFraction, the circumference of the circle is approximately 25.14 cm.""If Pi is approximated to 3.14, the circumference of the circle is 25.12 cm."

If you want to learn more about circles, you can read:

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Trevor took big steps to find the length of the shadow of the big pine tree infront of the school

Answers

Trevor a very smart guy than

The big pine tree is approximately 64 feet tall, based on Trevor's estimates of its shadow and the building's shadow.

To find the height of the big pine tree, we can use proportions based on the relationship between the lengths of the shadows and the heights of the objects.

Let's denote:

[tex]- \( S_t \)[/tex] as the length of the shadow of the tree,

[tex]- \( H_t \)[/tex] as the height of the tree,

[tex]- \( S_b \)[/tex] as the length of the shadow of the building, and

[tex]- \( H_b \)[/tex] as the height of the building.

From Trevor's estimates:

[tex]- \( S_t = 48 \)[/tex] feet,

[tex]- \( S_b = 18 \)[/tex] feet, and

[tex]- \( H_b = 24 \)[/tex] feet.

We can set up a proportion to solve for [tex]\( H_t \):[/tex]

[tex]\[ \frac{H_t}{S_t} = \frac{H_b}{S_b} \][/tex]

Substituting the given values:

[tex]\[ \frac{H_t}{48} = \frac{24}{18} \][/tex]

Cross-multiplying:

[tex]\[ 18 \times H_t = 24 \times 48 \][/tex]

[tex]\[ 18H_t = 1152 \][/tex]

[tex]\[ H_t = \frac{1152}{18} \][/tex]

[tex]\[ H_t = 64 \][/tex]

Therefore, the big pine tree is approximately 64 feet tall.

The complete question is:

EVALUATE Trevor took big steps to find the length of the shadow of the big pine tree in front of the school. He estimated that the shadow was 16 yards long, or about 48 feet. He also stepped off the shadow cast by the two-story school building and estimated that its shadow was 18 feet long. Trevor thinks the building is 24 feet tall. About how many feet tall is the big pine tree?

If AB = 9, RS = 3, and SC = 5, find BC.
A) 5
B) 10
C) 13.5
D) 15

Answers

Answer:

D

Step-by-step explanation:

Δ ABC and Δ RSC are similar triangles, thus the ratio of corresponding sides are equal, that is

[tex]\frac{BC}{SC}[/tex] = [tex]\frac{AB}{RS}[/tex], substitute values

[tex]\frac{BC}{5}[/tex] = [tex]\frac{9}{3}[/tex] = 3 ( multiply both sides by 5 )

BC = 5 × 3 = 15 → D

Answer:

BC=15, so D

Step-by-step explanation:

First, let's annotate. on line AB, write 9. RS, 3. SC, 5. These are the measurements of lines, not angles. We're trying to find the length of BC, the whole bottom side. Also, all of the little squares represent 90° angles, which means the triangles are also rational.

Lengths 3 and 9 are rational. 1:3. Since they're rational, the triangles are a set of dilations. Because of this, ALL the sides of the triangles are rational. If all the sides are rational by 1:3, which they are, then we can just multiply SC by 3. By doing this, we get the length of BC. Thus, the length of BC is 15.

I REALLY hope this helps. If not, I encourage you to watch videos on dilations/rational triangles.

solve for x. log 10x=5.7

Answers

Answer:

0.57

Step-by-step explanation:

10x0.57=5.7

What is happening from ABCDE to A’B’C’D’E’?
2. Find 2 different ways
to get from the
pre image to the image

Answers

Answer: 1. it is being rotated by -180 degrees.

2. two different ways to get from a pre image to a image is to dilate and rotate it.

Step-by-step explanation:

The sequence of transformations is

A reflection across the x-axis followed by the y-axis and vice versaA 180 degrees rotation

How to determine the sequence of transformations

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

ABCDE and A'B'C'D'E

Also, we can see that

The point in different directions, share the same center and are in adjacent quadrants

So, a possible transformation is

A reflection across the x-axis followed by the y-axis and vice versa

Another possible transformation is

A 180 degrees rotation

Read more about transformation at

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Lily provider a loan of $2500 to David that had an annual interest rate of 4.6%. Find the balance after 5 years if itcompounded yearly

Answers

Answer:

The balanced amount is $3130.25.

Step-by-step explanation:

Given : Lily provider a loan of $2500 to David that had an annual interest rate of 4.6%.

To find : The balance after 5 years if it compounded yearly ?

Solution :

Using compound interest formula,

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where, P=$2500 is the principal

r=4.6%=0.046 is the interest rate

t=5 years

Substitute the values,

[tex]A=2500(1+\frac{0.046}{1})^{5\times 1}[/tex]

[tex]A=2500(1.046)^{5}[/tex]

[tex]A=2500\times 1.2521[/tex]

[tex]A=3130.25[/tex]

Therefore, the balanced amount is $3130.25.

A rectangle has a height of 5 and a width of 4x2 – 2x – 6.

Express the area of the entire rectangle

Expression should be expanded.

Answers

Answer:

The area of the rectangle is given by the expression "20x² - 10x - 30".

Step-by-step explanation:

The area of a rectangle is given by the product of it's dimensions. This is shown in the formula bellow:

area = width*height

In this case the width is an expression, so we need to multiply the numeric part of each mnemonic

area = 5*(4x² - 2x - 6)

area = 20x² - 10x - 30

The area of the rectangle is given by the expression "20x² - 10x - 30".

Robin can bake 140 cupcakes in 5 hours.
a. At this rate, how many cupcakes does she
bake per hour? (Per means one, which is a
clue that you need to find the unit rate.)​

Answers

Answer:

28.

Step-by-step explanation:

28 x 5 = 140

140 divided by 28 = 5.

5 hours.. 140 cupcakes. You divide the amount by the hours, showing you that 28 cupcakes per hour is the answer.

Answer: Per hour, Robin makes 28 cupcakes.

Step-by-step explanation:

To find the unit rate, you are essentially finding one of something. In this case you were finding out how many cupcakes you could make in ONE hour. To do this, you had to look at the information you already had. You knew that 140 cupcakes were made in 5 hours. So the fraction is 140/5. If you divide the bottom and top by five, your new equation would be 28/1.

(Vote me brainliest answer please)

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Check all that apply.A-Scientists observe the behavior of a cloned animal.B-Scientists discover how to create organs with stem cells,C-Scientists report a new therapy used to treat heart disease.D-Scientists examine the contribution of wind erosion to landslides.E-Scientists explain the benefits of oil drilling over wind technologies Ventaz corp manufactures small windows for back yard sheds. historically, its demand has ranged from 30 to 50 windows per day with an average of 42. alex is the one production worker and he works eight hours a day, five days a week. each order is one window and each window takes 5 minutes. alex plans to add doors to its product line and anticipates that they will average 4 doors per day. each door takes 540 minutes to install. what is the average waiting time, in minutes, if alex continues to be the only worker? If 5^3b-1 = 5^b-3 what is the value of b? 7.37 For the net cash flow series, (a) determine the number of possible i* values using the two sign tests, (b) find the EROR using the MIRR method with an investment rate of 20% per year and a borrowing rate of 10% per year, and (c) use the MIRR function to find the EROR. Which of the following BEST states a theme of the soliloquy in hamlet? Determine if each of the following sets is a subspace of n, for an appropriate value of n. Type "yes" or "no" for each answer. Let W1 be the set of all polynomials of the form p(t)=at2, where a is in . Let W2 be the set of all polynomials of the form p(t)=t2+a, where a is in . Let W3 be the set of all polynomials of the form p(t)=at2+at, where a is in . Which detail from "Echo and Narcissus" is a part of Narcissus's backstory? As the year went by, the mountains were once again covered with the pale green leaves of spring. Although his good looks still charmed both fairies and mortals alike, his heart was given to no one. Hours later, his stomach began to grumble, and Narcissus remembered that he had not eaten lunch. The only sound was the hum of crickets and bees and the occasional tweets of birds overhead. what dose a thermostat do when it gets to hot and what dose it do when it gets too cold You have a summer job working at a company developing systems to safely lower large loads down ramps. Your team is investigating a magnetic system by modeling it in the laboratory. The safety system is a conducting bar that slides on two parallel conducting rails that run down the ramp. The bar is perpendicular to the rails and is in contact with them. At the bottom of the ramp, the two rails are connected together. The bar slides down the rails through a vertical uniform magnetic field. The magnetic field is supposed to cause the bar to slide down the ramp at a constant velocity even when friction between the bar and the rails is negligible. Before setting up the laboratory model, your task is to calculate the constant velocity of the bar sliding down the ramp on rails in a vertical magnetic field as a function of the mass of the bar, the strength of the magnetic field, the angle of the ramp from the horizontal, the length of the bar which is the same as the distance between the tracks, and the resistance of the bar. Assume that all of the other conductors in the system have a much smaller resistance than the bar. If the force due to the changing flux exactly cancells out the net force due to the combination of gravity and normal force, then the bare will cease to accelerate and instead move at a constant velocity. Please solve for this velocity algebraically. How did the factory system impact the nation's economy? (North/South) 2. Why did workers form trade unions? Using the diagram to the right, match each letterlabel to the correct term in the drop-down menus. Suppose the price level reflects the number of dollars needed to buy a basket of goods containing one cup of tea, one biscuit, and one magazine. In year one, the basket costs $10.00. In year two, the price of the same basket is $9.00. From year one to year two, there is at an annual rate of . In year one, $50.00 will buy baskets, and in year two, $50.00 will buy baskets. This example illustrates that, as the price level falls, the value of money . How Many Household Cats Hunt Birds? "Domestic cats kill many more wild birds in the United States than scientists thought," states a recent article.1 Researchers used a sample of households in the US with cats to estimate that of household cats in the US hunt outdoors. 1Milius, S., "Cats kill more than one billion birds each year," Science News, 183(4),February 23, 2013, revised March 8, 2014. Data approximated from information give in the article. An equimolar mixture of acetone and ethanol is fed to an evacuated vessel and allowedto come to equilibrium at 65C and 1.00 atm absolute. State a quick way to show thatthe system has two phases. Estimate (i) the molar compositions of each phase, (ii) thepercentage of the total moles in the vessel that are in the vapor phase, and (iii) thepercentage of the vessel volume occupied by the vapor phase. Amy printed a square picture that was 225% the size of the original picture. The length of the side of her original picture was 4 inches. Choose True or False for each statement.