Find the lateral area of this cone

Find The Lateral Area Of This Cone

Answers

Answer 1
The answer is 233.5in^2
Answer 2
233.5^2 is most definitely the answer.

Related Questions

Which data set could be represented by the box plot shown below?

Answers

Answer:

Step-by-step explanation:22

The answer is would be

22


The steepness or grade of a road is expressed as a percent. if a road rises 8 feet for every 64 horizontal feet. What is the slope of the road? what percent grade is this ?

Answers

Answer:

[tex]\frac{1}{8}[/tex] is the slope, and the percent grade of this is 12.5%.

Step-by-step explanation:

The slope of any linear equation is always rise over run.

Since we rise 8 feet for every 64 feet travelled horizontally, our fraction is

[tex]\frac{8}{64}[/tex] which simplifies to [tex]\frac{1}{8}[/tex], so  [tex]\frac{1}{8}[/tex] is the slope.

To find the percent grade, we find the decimal version of  [tex]\frac{1}{8}[/tex] and multiply by 100.

[tex]1\div8 = 0.125\\0.125\cdot100 = 12.5[/tex]

Hope this helped!

Answer:

Slope = 1/8

Grade = 12.5%

Step-by-step explanation:

Hey there!

Well if the rise/run is 8/64

then the slope is 8/64,

8/64

simplified

1/8 is the slope

The decimal grade is 1/8 as a percent so,

1 ÷ 8 = .125

Move the decimal place 2 times to the right,

12.5% is the decimal grade

Hope this helps :)

In 2021, Ryan Management collected rent revenue for 2022 tenant occupancy. For financial reporting, the rent is recorded as deferred revenue and then recognized as revenue in the period tenants occupy rental property. For tax reporting, the rent is taxed when collected in 2021. The deferred portion of the rent collected in 2021 was $66 million. Taxable income is $260 million in 2021. No temporary differences existed at the beginning of the year, and the tax rate is 25%. Prepare the appropriate journal entry to record income taxes in 2021. (If no entry is required for a transaction/event, select "No journal entry required" in the first account field. Enter your answers in millions rounded to 1 decimal place (i.e., 5,500,000 should be entered as 5.5).)

Answers

Answer:

Answer and Explanation:

The Journal entry is shown below:-

1. Income Tax Expense Dr, $336 million  

Deferred Tax Assets Dr, $29 million

($116 million  × 25%)

         To Income Tax Payable $365 million

($1,460 × 25%)

(Being income tax and deferred tax is recorded)

2. Income Tax Expense Dr, $400 million

         To Income Tax Payable  $340  million

($1,360 × 25%)

         To Deferred Tax Assets $60 million

(($354.0 million - $116 million)  × 25%)

(Being income tax and deferred tax is recorded)

Step-by-step explanation:

Bbvbjjjgggghvccxzsetuikookmb:335679

Which of the following is true? three and two fifths plus four and two sevenths equals seven and four twelves two and five eighths plus six and one sixth equals eight and six twenty fourths four and eight tenths plus five and two sixths equals ten and eight sixtieths six and seven twelves plus three and nineteen twenty fourths equals nine and nine twenty fourths

Answers

It equals ten and eight forge

Answer: The answer is c

Step-by-step explanation:

You invest $4,000 in a savings account. The account pays 3% annual interest. How
much money will be in the savings account after 9 years?
$5,124.33
$6,003.45
$4,938.29
$5,219.20

Answers

Answer:

$5219.20

Step-by-step explanation:

4000 × (1+(3 / 100))^9

5219.20







That’s what I got

Explain how I would rewrite 3^5 * 3^-4 as a base an exponent

Answers

Answer:

3^1 or 3

3^5 * 3^-4 are 3^5-4

so, 3^1!

Hope it helps!

Answer:

3^1

Step-by-step explanation:

Since the bases are the same and we are multiplying we can add the exponents

a^b * a^c = a^(b+c)

3^5 * 3^-4

3^ (5+-4)

3^1

can somewon help me plx

Answers

Answer:

[tex]\boxed{392in^2}[/tex]

Step-by-step explanation:

Hey there!

Well to find SA we need to find the area of the rectangles.

So lets do the top rectangle,

6*6 = 36

Now lets do the the left rectangle,

10*6 = 60

Now lets do the far right one,

6*4 = 24

Now lets do the second highest rectangle,

4*6 = 24

Now lets do the rectangle facing the right side,

6*6 = 36

Now we can do the bottom rectangle,

6*10 = 60

Now lets do the 2 facing front and back,

6*10 = 60

4*4 = 16

60+16 = 76

76*2 = 152

Now we can add everything,

152 + 60 + 36 + 24 + 24 + 60 + 36

= 392 in^2

Hope this helps :)

The answer is 392in. Squared

Math Question (10 Points):

Answers

The correct answer is A

Answer:

Step-by-step explanation:

We need the two numbers to tell us where the point is on the coordinate plane. The first number tells us where it is on the x-axis, and the second number tells us where it is on the y-axis. The very middle of the coordinate plane is the point (0, 0)

Based on this the answer is horizontol plane and x coordinate

Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction Which equation is correct and can be used to solve for the value of z? StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (76 degrees) Over z EndFraction StartFraction sine (51 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (51 degrees) Over z EndFraction StartFraction sine (76 degrees) Over 2.6 EndFraction = StartFraction sine (53 degrees) Over z EndFraction

Answers

Answer:

[tex]\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]

Step-by-step explanation:

The sine rule states that for a triangle angles ∠A, ∠B, ∠C and the sides opposite to the respective angles are a, b and c. This formula holds:

[tex]\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}[/tex]

From the diagram attached given that ∠Y = 51° and the side opposite to ∠Y is 2.6, ∠Z = 76° and the side opposite ∠Z is z. Using sine rule to find z this formula is used:

[tex]\frac{sin(Y)}{y} =\frac{sin(Z)}{z} \\\frac{sin(51)}{2.6}=\frac{sin(76)}{z}[/tex]

Answer:

A

Step-by-step explanation:

Edg 2020

Given the following three points, find by hand the quadratic function they represent.
(0,6), (2,16), (3, 33)
(1 point)
f(x) = 4x2 – 3x + 6
f(x) = -4x2 – 3x + 6
Of(x) = -4x2 + 21x + 6
Of(x) = 4x2 + 3x + 6

Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
O f(x) = -3x2 + 4x - 1
O f(x) = -2x2 + 5x - 1
Of(x) = -5x2 + 8x - 1
O f(x) = -3x2 + 10x - 1


Find the equation of a parabola that has a vertex
(3,5) and passes through the point
(1,13). (1 point)
Oy=2(x – 3)' + 5
Oy= -2(x – 3)' + 5
Oy= -3(x – 3)' +5
Oy= 2(x + 3)" - 5

Determine if the following set of ordered pairs represents a quadratic function. Explain.
(5, 7), (7, 11), (9, 14), (11, 18)
(1 point)
The y-values go up by the square of the x-value (22 = 4). Therefore, the ordered pairs represent a quadratic equation.
The y-values go up by the square of the x-value (22 = 4). Therefore, the ordered pairs do not represent a quadratic equation.
Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.
Since the differences between the x-values is 2 and the differences between the y-values is 4, that means that the differences between the differences
of the y-values are all zero. Therefore, the ordered pairs represent a quadratic equation.

Determine if the following table represents a quadratic function. Explain.
х
1
2
3
4.
5
y 13 22 37 58 85
(1 point)
O The differences between the differences of the y-values is a constant 6, so the ordered pairs do not represent a quadratic equation.
The differences between the y-values is a constant 9, so the ordered pairs represent a quadratic equation.
The differences between the differences of the y-values is a constant 6, so the ordered pairs represelo a quadratic equation.
The differences between the y-values is a constant 9, so the ordered pairs do not represent a quadratic equation.

i’m in a rush :( pls help

Answers

Answer:

A B A C C are the correct answers~_~

Step-by-step explanation:

A B A C C are the answers :)

Can someone help me with this? Does it mean cup or is it a typo? Also I need help with the answer.

Answers

Answer:

Yes it really does mean cup.

Step-by-step explanation:

This can only contian 1 jar

12.5 cups are equal to 100 ounces

if there are 100 oz in that little jar then only 1 large jar can be filled by a lttile jar.

Yes ^^ they are correct I’ve answered this before

The sum of 6 even integers is 130 what is the 2nd number in the sequence

Answers

Answer:

The 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

Step-by-step explanation:

Let the six even numbers be 2x,2x+2,2x+4,2x+6,2x+8,2x+10

We are given that The sum of 6 even integers is 130.

So,2x+2x+2+2x+4+2x+6+2x+8+2x+10=130

12x+30=130

12x=100

[tex]x=\frac{100}{12}[/tex]

So,the 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

2 (100/12) + 2
______________

What does y equal -3=15+4y

Answers

Answer:

-3 = 15+4y

4y = 12

y = 3.......

y=-5 the answer is that

Solve the simultaneous equations. You must show all your working to find x and y. 1/2x -3y = 9 5x y + y = 28

Answers

Answer:

[tex]\huge\boxed{x = 6 , y = -2}[/tex]

Step-by-step explanation:

[tex]\sf \frac{1}{2} x - 3y = 9-----------(1)\\5x + y = 28 ----------(2)[/tex]

Taking equation (1)

[tex]\sf \frac{1}{2} x -3 y=9[/tex]

Multiplying both sides by 2

[tex]\sf x-6y = 18[/tex]

Adding 6y to both sides

[tex]\sf x = 18+6y[/tex]

Putting this in (2)

5(18+6y) + y = 28

5(18+6y) + y = 28

90 + 30y+y = 28

31y+90-28 = 0

31 y + 62 = 0

31y = -62

Dividing both sides by 31

y = -2

Now,

x = 18 + 6y

x = 18+6(-2)

x = 18-12

x = 6

1/2x - 3y = 9 (1)
5x + y = 28 (2)

(1) x 2
x - 6y = 18

(2) x 6
30x + 6y = 168
—————

x - 6y = 18 (3)
30x + 6y = 168 (4)

(3) + (4)
31x = 186
x = 6

sub x into (2)
30 + y = 28
y = -2
—————

x = 6
y = -2

Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles.


A) reflect triangle a across the y-axis and then translate triangle a 5 units down.  B) reflect triangle A across the x-axis and then reflect triangle a across the y-axis.  
C) translate triangle a 4 units down and then rotate triangle A 180° counterclockwise about the origin. 
D) reflect triangle a across the x-axis and then rotate triangle A 90° counterclockwise about the origin

Answers

Honestly I’m not for sure but I’m think it’s either a or b

The triangle is shifted 4 units downwards and then is rotated about the origin.

What is image rotation?A rotation is a type of transformation which is a turn.A figure can be turned clockwise or counterclockwise on the coordinate plane.In both transformations the size 3 shape of the figure stays exactly the same.

Given are triangles A and B.

Transformation 1 : The triangle is shifted 4 units downwards.

Transformation 2 : The figure is rotated about the origin.

Therefore, the triangle is shifted 4 units downwards and then is rotated about the origin.

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Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options. The vertex form of the function is f(x) = (x – 2)2 + 2. The vertex of the function is (–3, –13). The axis of symmetry for the function is x = 3. The graph increases over the interval (–3, infinity). The function does not cross the x-axis.

Answers

Answer:

  B, D

Step-by-step explanation:

If you're going to make claims about the graph, it is helpful to see a graph (attached).

A) The vertex form of the function is f(x) = (x +3)^2 -13, not the one shown.

B) The vertex is (-3, -13). True

C) The axis of symmetry is x = -3, not the one given.

D) The graph increases for x > -3. True

E) The function crosses the x-axis at about x=-6.6 and x=0.6.

A function assigns the values. The statements that are true about the given function are B and D.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Here, we have,

To know the correct statements about the graph of the function f(x)=6x-4+x², we need to plot the graph, as shown below.

A.) The vertex form of the function is f(x)=(x-2)²+2.

To know if the vertex form of the function is f(x)=(x-2)²+2, solve the equation and check if it is of the form f(x)=6x-4+x².

Since the two functions are not equal this is not the vertex form of the function is f(x)=6x-4+x².

B.) The vertex of the function is (-3, -13).

As can be seen in the image below, the vertex of the function lies at (-3,-13.) Therefore, the statement is true.

C.) The axis of symmetry for the function is x = 3.

As the vertex is at -3, therefore, the function symmetry will be about x=-3.

Hence, the given statement is false.

D.) The graph increases over the interval (-3).

The given statement is true since the graph will be showing a positive slope in the interval (-3, +∞).

E.) The function does not cross the x-axis.

It can be observed that the function intersects the x-axis exactly at two points, therefore, the given statement is false.

Learn more about Function:

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A $20,000 business computer depreciates at a rate of 15% per year. Which of the following equations would model the value of the computer?

Answers

Answer:

[tex]f(t)=20000(0.85)^t[/tex]

Step-by-step explanation:

So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:

[tex]f(t)=P(r)^t[/tex]

Where P is the initial value, r is the rate of decay, and t is the time in years.

Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.

Therefore, the equation that models the value of the computer is:

[tex]f(t)=20000(0.85)^t[/tex]

ANSWER(20000)........

Find the mean of the data in the pictograph below.

Answers

Answer:

10.5

Step-by-step explanation:

Answer: 10.5


Explanation: just use a mean calculator lol

The vertex formation of a parabola is x = 8(y- 1)2-76.
What is the standard form of the equation?

Answers

Answer:

[tex]\boxed{x=8y^2-16y-68}[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex]x=8(y- 1)^2-76\\\\x=8(y^2-2y+1)-76\\\\x=8y^2-16y+8-76\\\\\boxed{x=8y^2-16y-68}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

The answer to this question is x = 8y^2 - 16y -68

The US Department of Health and Human Services wants to know whether the healthcare system is achieving its goals in Virginia. Much information about

healthcare comes from patient records, but that source doesn't allow us to compare people who use health services with those who don't. Therefore, the US

Department of Health and Human Services conducted the Virginia Health Survey, which was used to interview a random sample of 65,439 people who live in

the state of Virginia.

Part A: What is the population for this sample survey? What is the sample? (4 points)

Part B: The survey found that 71% of males and 88% of females in the sample had visited a general practitioner at least once during the past year. Do you

think these estimates are close to the truth about the entire population? Explain. (6 points)

Answers

Answer:

Part A: All the residents of the state of Virginia make up the population, while the sample is the number of those interviewed–65,439 people.

Part B: No

Step-by-step explanation:

Part A: In statistical analysis, the population refers to the study area of the research; and in this case– the state of Virginia. While the sample represents a considerable representation of the population in the survey.

Part B: No because we are told The US Department of Health and Human Services used a random sample, not a non-random sampling technique; which implies that the feedback was random and may not likely be close to the truth about the entire population.



Write the equation in terms of a rotated x'y'-system using the angle of rotation. Write the equation involving x' and y' in standard form.

19x2 + 241/3 xy - 5y2 - 527 = 0; 0 = 30°

Answers

Answer:

The answer is "[tex]\bold{\frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1}[/tex]"

Step-by-step explanation:

In the given question there is some mistyping error if the given value is this. so, its solution can be defined as follows:

[tex]19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\ \theta = 30^{\circ}[/tex]

Formula:

[tex]\bold{x=x'\cos \theta -y' \sin \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \cos 30- y' \sin 30\\\\ =x' \frac{\sqrt{3}}{2}- y' \frac{1}{2}\\\\ =\frac{1}{2}(x' \sqrt{3}- y')....(a)\\\\[/tex]          

[tex]\bold{y=x'\sin \theta +y' \cos \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \sin 30+y' \cos 30\\\\ =x' \frac{1}{2}+y' \frac{\sqrt{3}}{2}\\\\ =\frac{1}{2}(x'+ y'\sqrt{3})....(b)\\\\[/tex]          

put the equation (a) and equation (b) value in equation 1:

equation:

[tex]\to 19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\[/tex]

[tex]\to 19(\frac{1}{2}(x'\sqrt{3}- y'))^2+24\sqrt{3}(\frac{1}{2}(x'\sqrt{3}- y))( \frac{1}{2}(x'+y'\sqrt{3}))- 5(\frac{1}{2}(x'+y'\sqrt{3}))^2-527= 0\\[/tex]

[tex]\to \frac{19}{4}(3x^{'}^2+ y^{'}^{2}-2\sqrt{3}x' y')+6\sqrt{3}(\sqrt{3}x^{'}^{2}+2x'y'-\sqrt{3}y^{'}^2)-\frac{5}{4}(x^{'}^2+ 3y^{'}^{2}-2\sqrt{3}x' y')-527=0[/tex]

[tex]\to \frac{57}{4}x^{'}^2+\frac{19}{4}y^{'}^2-\frac{19 \sqrt{3}}{2}x^{'}^2y^{'}^2+18x^{'}^2+12\sqrt{3}x^{'}^2y^{'}^2-18y^{'}^2-\frac{5}{4}x^{'}^2-\frac{15}{4}y^{'}^2-\frac{5\sqrt{3}}{2}x^{'}^2y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2=527\\\\\to \frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1\\\\[/tex]

Answer:The answer is The answer is ""

Step-by-step explanation:

Find the value of y and x.

Answers

Answer:

x = 130°y = 65°

Step-by-step explanation:

All inscribed angles intercepting the same arc have the same measure.

If you slide the vertex of angle y clockwise around the circle until it coincides with the vertex of the angle marked 65°, you see that those two inscribed angles (y and 65°) intercept the same arc, so have the same measure:

  y = 65°.

The measure of an inscribed angle is half the measure of the intercepted arc, so the arc marked x is double the angle 65°.

  x = 130°.

The answer for this is y= 65 degrees and x= 130 degrees

Someone pls help me i forgot how to do this . Thank you sm !!

Answers

Answer:

1.x=-5 2.t=1/2 3.x=20

Step-by-step explanation:

all simple algebra first and second is simple subtraction

the third involves division as  well

Answer:

Here are the answers:

1) -5

2) 1/2

3) 20

Hope I helped)))

Pls mark brainliest

A fish fank was 3/4 full, and then 1/3 of the water leaked out,
5) How full was the fish tank after the water leaked out?
6) If there was 20 gallons of water left in the fish tank after the water leaked out,
how many gallons of water does the fish tank hold when it is full?

Answers

Answer:

5) It was 5/12 of the way full

6) It holds 48 gallons.

Step-by-step explanation:

For #5, you can simply find the lowest common denominator, which was 12, so you would multiply 3/4 by 3/3 and 1/3 by 4/4, giving you 9/12 and 4/12. Next you would subtract 4 from 9 and get the answer 5/12.

For #6 you can set up the problem as a ratio, 5/12 and 20/x, and then cross multiply, getting the equation 5x = 240. Then divide by 5 and you get the answer 48.

Hope this helps!!

Answer:

5/12 When the water leaked out.

48 Gallons when full.

Hope this Helps!

Which data set could be represented by the box plot shown below?

Answers

Answer:

16

Step-by-step explanation:

The correct answer is 16

Dennis uses a soft-sided foot locker to store his sports equipment in his bedroom. The foot locker is 38 inches long and 12 inches wide and has a volume of
7,752 cubic inches. What is the height (in inches) of the foot locker?

A. 204

B. 17

Answers

Answer:

So.. I believe the answer is 17

Step-by-step explanation:

In order to get your answer, you would first multiply 38*12 which is 456

Then you would get that number (456) and divide it by 7,752

So 7,752/456 is 17

The answer to this is B

- The water rate for Columbus Ohio
is $1.98 per 750 gallons of water.
What is the water bill for a resident
who used 27,000 gallons?

Answers

Divide total amount used by the amount in the rate:

27,000 / 750 = 36

Multiply that number by the rate:

36 x 1.98 = 71.28

The bill is $71.28

The answer would be $71.28 :)

Find x: 50*5x=5000

A) 25
B) 20
C) 50
D) 75

Answers

Answer:

[tex]\huge\boxed{B) x = 20}[/tex]

Step-by-step explanation:

50 * 5x = 5000

Dividing both sides by 50

=> 5x = 5000/50

=> 5x = 100

Dividing both sides by 5

=> x = 20

Answer:

the answer is B

Step-by-step explanation:

X: (x)50=20

A pet store specializes in exotic fish. The graph shows a proportional relationship between the number of fish and the number of fish tanks at
the store.
y
65
52
39
Fish
Fish
26
13
0
5
6
Fish Tanks

Answers

35m is the answer to the problom        

Answer:

the correct answer is 13

Step-by-step explanation:

i got it correct on the test, hope this helps:)) !

the graph of y=f(x) is shown below. find all the values of x where f(x)=1

Answers

positive 3 is the correct answer

When you substitute the value of x = 3, you get f(x) = 1.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is Parabola?

A parabola is a U-shaped curve this is drawn for a quadratic function,

f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.

parabola, open curve, a conic segment produced via the intersection of a proper circular cone and a plane parallel to an element of the cone.

Here the given graph of y = f(x) is shown.

When you substitute the value of x = 3, you get f(x) = 1.

Hence, you can get f(x) = 1 by substituting the value of x = 3

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Other Questions
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions,Online Content: Site 1What are some ways the King's portrait was used? what is oral history? For a monopolist that is maximizing profits Question 2 options: A) marginal revenue exceeds price. B) price equals average total cost. C) price exceeds marginal cost. D) price equals marginal revenue. c) If the ice block (no penguins) is pressed down even with the surface and then released, it will bounce up and down, until friction causes it to settle back to the equilibrium position. Ignoring friction, what maximum height will it reach above the surface The following information is available for Sheridan Company: Sales $670000 Total fixed expenses $150000 Cost of goods sold 470000 Total variable expenses 420000 A CVP income statement would report:_______a. Gross profit of $160,000 b. contribution margin of $400,000 c. gross profit of $190,000 d. contribution margin of $190,000 Predictive analytics is used for all of the following except: a. establishing consumer credit scores. b. forecasting driver safety. c. identifying the most profitable customers. d. anticipating customer response to price changes. e. determining the best routes for product delivery. . A jumbo jet has a mass of 100,000 kg. The thrust of each of its four engines is 50,000 N. What is the jet's acceleration in meters per second squared right before taking off? Neglect air resistance and friction. methyl phenolphthalein and litmus A gas mixture contains 3.50 moles of helium, 5.00 moles of krypton and 7.60 moles of neon. A) What is the mole fraction for each gas Discuss the validity of the following statement. If the statement is always true, explain why. If not, give a counterexample. If the odds for E equal the odds against E', then P(E)P(F)=P(EF) A typical ten-pound car wheel has a moment of inertia of about 0.35kg *m2. The wheel rotates about the axle at a constant angular speed making 70.0 full revolutions in a time interval of 4.00 seconds. What is the rotational kinetic energy K of the rotating wheel? Express answer in Joules Read the following letter carefully before you choose your answer. The following is a letter written by an already established Voltaire to a young and newly published author, M. Helvetius, in 1739. (1) My dear friendthe friend of Truth and the Musesyour Epistle is full of bold reasoning in advance of your age, and still more in advance of those craven writers who rhyme for the book-sellers and restrict themselves within the compass of a royal censor, who is either jealous of them, or more cowardly than they are themselves. (2) What are they but miserable birds, with their wings close clipped, who, longing to soar, are for ever falling back to earth, breaking their legs! You have a fearless genius, and your work sparkles with imagination. I much prefer your generous faults to the mediocre prettinesses with which we are cloyed. If you will allow me to tell you where I think you can improve yourself in your art, I should say: Beware, lest in attempting the grand, you overshoot the mark and fall into the grandiose: only employ true similes: and be sure always to use exactly the right word. (3) Shall I give you an infallible little rule for verse? Here it is. When a thought is just and noble, something still remains to be done with it: see if the way you have expressed it in verse would be effective in prose: and if your verse, without the swing of the rhyme, seems to you to have a word too manyif there is the least defect in the constructionif a conjunction is forgottenif, in brief, the right word is not used, or not used in the right place, you must then conclude that the jewel of your thought is not well set. Be quite sure that lines which have any one of these faults will never be learnt by heart, and never re-read: and the only good verses are those which one rereads and remembers, in spite of oneself. There are many of this kind in your "Epistle"lines which no one else in this generation can write at your age such as were written fifty years ago. (4) Do not be afraid, then, to bring your talents to a Parnassus1; they will undoubtedly redound to your credit because you never neglect your duties; for them: they are themselves very pleasant duties. Surely, those your position demand of you must be very uncongenial to such a nature as yours. They are as much routine as looking after a house, or the housebook of one's steward. Why should you be deprived of liberty of thought because you happen to be a farmer-general2? Atticus was a farmer-general, the old Romans were farmers-general, and they thoughtas Romans. Go ahead, Atticus. 1A sacred mountain in Greece, known as the home of the Muses of Greek poetry 2A privileged member of French society who collected taxes on behalf of the king Paragraph 2 could be used to support which of the following claims about the writer's tone? His tone when discussing Helvetius's work is obsequious and flattering. His tone when discussing Helvetius's work is patronizing and demeaning. His tone when discussing the works of others is critical and analytical. His tone when discussing the works of others is deferential and complimentary. Disney established the _______ Film Distribution Company in 1953 to control distribution of its films, an action that became crucial to Disney's efforts to take control over every aspect of the entertainment process, from production to consumption. Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Career Connection: Shin-fong How does Shin-fong keep track of his finances? Sally's house is located at (5, 1) and her school is located at (9, 7). Her best friend Molly lives at the midpoint of Sally's house and school. What coordinate represents Molly's house? A. (2, 3) B. (2, 3) C. (3, 2) D. (3, 2) "It can be difficult to understand the nature of competition between firms in a market which is driven by change factors like technology, and capital driven mergers. Because of this the Federal Trade Commission has begun to look less at market share and more at the data on actual ______________________________. The Government Accounting Office (GAO) announces deep cuts to social security, Medicare, and welfare programs. Which determinant of aggregate demand causes the change Question 1 : Mercury Technical Solutions has been using SSL in a business-to-business environment for a number of years. Despite the fact that there have been no compromises in security, the new IT manager wants to use stronger security than SSL can offer. Which of the following protocols is similar to SSL but offers the ability to use additional security protocols? This task contains the radio buttons and checkboxes for options. The shortcut keys to perform this task are A to H and alt+1 to alt+9. Three friends are at a carnival. Beth goes on 2 rides for $5.00. Zane goes on 5 rides for $12How much does it cost Tina to go on 9 rides?.50. "cleared the air" is what figure of speech