What is the volume of the can below? Use Pi = 3.14 and round your answer to the nearest tenth. A cylinder with height 96 millimeters and diameter of 66 millimeters.

Answers

Answer 1

Answer

328,268.2 mm cubed is correct!

Step-by-step explanation:

If you use the formula V=πr²h with these steps:

1. Calculate the area of the base (which is a circle)

2. use the equation πr² where r is the radius of the circle.

3. Then, multiply the area of the base by the height of the cylinder

4. The volume is found!

What Is The Volume Of The Can Below? Use Pi = 3.14 And Round Your Answer To The Nearest Tenth. A Cylinder
Answer 2

Answer:

328,268.2 cubic millimeters

Step-by-step explanation:

I did it on edge


Related Questions

Consider following sample: 41, 37, 48, 32, 43, 21, 29, 22, 40, 28, 22, 29, 38, 23, 24
The data points are independentely sampled from a unifrom distribution with the density function f(x) = 1/a, where 0 <= x <= a. Use the method of moments to estimate a. Use two digits after the decimal points.

Answers

The estimated value of "a" using the method of moments is 48.00.

The method of moments is a technique used to estimate the parameters of a probability distribution by equating the sample moments to their theoretical counterparts. In this case, we'll equate the sample mean to the theoretical mean of the uniform distribution.

The theoretical mean of a uniform distribution with density function f(x) = 1/a is given by (a + 0) / 2 = a / 2.

To estimate "a," we'll equate the sample mean to a / 2 and solve for "a":

Sample mean = (41 + 37 + 48 + 32 + 43 + 21 + 29 + 22 + 40 + 28 + 22 + 29 + 38 + 23 + 24) / 15

           = 34.13 (rounded to two decimal places)

Setting this equal to a / 2, we have:

34.13 = a / 2

Solving for "a," we multiply both sides by 2:

a = 2 * 34.13

 ≈ 68.26

Rounding "a" to two decimal places:

a ≈ 68.26 ≈ 68.00

Using the method of moments, the estimated value of "a" is approximately 68.00. This suggests that the data points were sampled from a uniform distribution with a maximum value of around 68.

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A textbook store sold a combined total of 471 math and sociology textbooks in a week. The number of sociology textbooks sold was 63 less than the number of math textbooks sold. How many textbooks of each type were sold?

Answers

Answer:

The math books are 267The sociology books are 204

Step-by-step explanation:

The steps are in the photo above

I hope that is useful for you :)

Help please
Lines m and n are parallel.
What is m<1?
A. 35°
B. 50°
C. 55°
D. 75​

Answers

Answer: 55

Step-by-step explanation:

Since lines m and n are parallel, angle 55 would be the same for the measure of angle 1.

Which is closest to the height of a pine tree?
1. 9 inches
2. 9 Yards
3. 9 Miles

Answers

Answer:

2/b

Step-by-step explanation:

9 yards

Find the area of the rectangle.

Answers

Answer:

Step-by-step explanation:

the area of the rectangle is : -7y² ( -2y^4+y²-1)

14y^6-7y^4+7y²   unit

Andrea and Tim are picking apples. Andrea picks 4 à pounds of apples. Tim picks
33 pounds of apples. How many total pounds of apples did Andrea and Tim
pick?

Answers

Answer:

37 pounds of apples.

Step-by-step explanation:

you add together the amount of apples that both people have gathered, which in this case would be 33+4 which makes 37, so your answer would be 37 apples.

Please help me with the question please ASAP ASAP please please ASAP please please help
* It’s NOT 24 if you get 24

Answers

Answer:

The tree is 8 foot long

hope this helps

good day mate

Answer:

8

Step-by-step explanation:

12:6 = x:4

2:1 = x:4

x=8




Find the indicated critical z value. Find the value of z a/2 that corresponds to a confidence level of 85%. a/2 Answer:

Answers

The critical z value for a confidence level of 85% is approximately 1.44.

To understand this better, let's delve into the concept of confidence level. A confidence level is a measure of the uncertainty or margin of error associated with an estimation. In this case, we are given a confidence level of 85%, which means that we want to be 85% confident that the true population parameter falls within a specific range.

To find the critical z value, we need to determine the z value that leaves a certain percentage in the tails of the standard normal distribution. Since the confidence level is 85%, we divide this value by 2 to get a/2, which is 0.85/2 = 0.425. This value corresponds to the area under the curve in one tail of the distribution.

Using a standard normal distribution table or a statistical software, we can find the z value that corresponds to a cumulative probability of 0.425. The closest z value to this probability is approximately 1.44. Therefore, the critical z value for a confidence level of 85% is approximately 1.44.

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Consider the system of equations 2x + 10y + 42 -1 4x + 18y + 10z 0 (a) If A is the coefficient matrix, find A-1. (b) Solve the system using A-1. (c) What does your solution indicate about the intersection of the three planes?

Answers

(a) The inverse matrix A⁻¹ is:

| -9/2   5/2 |

|  1     -1 |

(b) The solution to the system is x = -9/2 and y = 1. z is undetermined.

(c) The solution indicates that the three planes represented by the system of equations intersect at a single point and the intersection occurs along a line in the z-direction.

(a) The coefficient matrix, A, is given by:

A = | 2  10   42 |

     | 4  18   10 |

We can use matrix inversion. A matrix is invertible if its determinant is non-zero. Let's calculate the determinant of matrix A:

det(A) = (2 * 18) - (10 * 4) = 36 - 40 = -4

Since the determinant is non-zero (-4 ≠ 0), the matrix A is invertible. Now, we can find the inverse of A:

A⁻¹ = (1/det(A)) * adj(A)

Where adj(A) denotes the adjugate of matrix A. To calculate the adjugate, we need to find the cofactor matrix of A and then take its transpose:

Cofactor matrix of A:

| 18   -4 |

| -10   2 |

Transpose of the cofactor matrix:

| 18  -10 |

| -4    2 |

Now, divide the transpose by the determinant:

A⁻¹ = (1/-4) * | 18  -10 |

                 | -4    2 |

Simplifying:

A⁻¹ = | -9/2   5/2 |

        |  1     -1 |

Therefore, the inverse matrix A⁻¹ is:

| -9/2   5/2 |

|  1     -1 |

(b) We have the equation AX = B, where X is the column vector of variables (x, y, z), A is the coefficient matrix, and B is the column vector of constants.

The coefficient matrix A is:

A = | 2  10   42 |

     | 4  18   10 |

The column vector B is:

B = | 1 |

      | 0 |

Now, we can solve for X using A-1:

X = A⁻¹ * B

Substituting the values:

X = | -9/2   5/2 | * | 1 |

          | 1    -1 |      | 0 |

Multiplying the matrices:

X = | (-9/2 * 1) + (5/2 * 0) |

        | (1 * 1) + (-1 * 0) |

Simplifying:

X = | -9/2 |

        |   1   |

Therefore, the solution to the system is x = -9/2 and y = 1. The value of z is not determined from this calculation.

(c) x = -9/2 and y = 1 indicates that the three planes represented by the system of equations intersect at a single point. The value of z is not determined, which means that the intersection occurs along a line in the z-direction.

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Anyone help pls? No links! :)

Answers

Answer:

6. D

7. F

8.A

9. B

10 C

13.Question- Write an expression using division and subtraction with a difference of 3.

answer-  (12 divide 3) -1

  Twelve divided by three is four. Four minus 1 is three.

12. Question- Write an expression using multiplication and addition with a sum of 16.

answer- There are many answers for this and this is one of them:

Y=4(3+1)

Y=16

or

Y=2(6+2)

Y=16

11.  Question- Sam bought two CDs for $13 each. Sales tax for both CDs was $3. Write an expression to show how much Sam paid in all.

answer- Expression- (13*2)(3*2)=$32

This is the answer because Sam bought two CD's for 13, 13*2, and the sales tax was $ 3, so 3*2=6

The sweater was normally $50. It was on sale for $12 off. What was the percent of discount?​

Answers

Divide sale by normal price
12/50 = 0.24 * 100 = 24 percent

24 percent of discount

Answer:

The discount was 24%.

Step-by-step explanation:

24% of 50 is 12.

If water flows through the pipe at a rate of 2L per seconds. How much water will pass through the pipe in 1/2hour​

Answers

Answer:

3600 Liters

Step-by-step explanation:

The given rate is 2L and we have to find how much water will flow in 1/2 hours at the same rate

1/2 hour is the same thing as 30 mins

multiply by 60 to convert minutes to seconds

[tex]3omin * \frac{60sec}{1min} = 1800 s[/tex]

since the rate is 2L per second we multiply 1800 by 2 and get 3600 Liters

GET BRAINLESTTTTTT !!

A bag of marbles had 24 white marbles and the rest were blue. For a game, 5/6 of the white marbles were chosen, and 25 of the blue marbles were also chosen.
Use this information to answer the questions below.

If not enough information is given to answer a question, click on "Not enough information."

(a) How many of the bag's white marbles were not chosen?

(b) How many of the bag's white marbles were chosen?

(c) How many blue marbles were in the bag before the game?

Answers

Answer:

Step-by-step explanation:

We know that there are 24 white marbles in the starting.

a. How many were not chosen. => 1/6 of the white marbles.

1/6 * 24 = 4 marbles were not chosen.

b. 24 - 4 = 20 marbles were chosen

c. Not enough Info

Answer:

4,20,not enough info

Step-by-step explanation:

Suppose you toss a coin and will win $1 if it comes up heads. If it comes up tails, you toss again. This time you will receive $2 if it comes up heads. If it comes up tails, toss again. This time you will receive $4 if it is heads. Continue in this fashion for a total of 10 flips of the coin, after which you receive nothing if it comes up tails. What is the mathematical expectation for this game?

Answers

Answer:

5

Step-by-step explanation:

The winnings are in G.P. : 1, 2, 4, ..... till 10 toss.

[tex]$a_n = 1 \times 2^{n-1}\ \ \ \forall \ n = 1,2,3,4,....,10$[/tex]

[tex]$a_n$[/tex] denotes the winnings on the [tex]$n^{th}$[/tex] toss.

The probability of earning amount [tex]$a_n$[/tex] on the [tex]$n^{th}$[/tex] toss is = [tex]$\left(\frac{1}{2}\right)^n$[/tex]

∴ [tex]$E(X) = \sum_{n=1}^{10} \ a_n \times \left(\frac{1}{2}\right)^n $[/tex]

            [tex]$=\sum_{n=1}^{10} \ 1 \times \frac{2^{n-1}}{2^n} $[/tex]

           [tex]$=\sum_{n=1}^{10} \ \frac{1}{2}$[/tex]

Sum of the 1st n terms of the A.P. is :

[tex]$=\frac{n}{2}[2a+(n-1)d] $[/tex]

[tex]$=\frac{10}{2}[2\times \frac{1}{2}+(10-1)\times 0] $[/tex]

= 5

Therefore, E(X) = 5

Hence the expected value of the game is 5

Select the correct answer. Two art museums are hosting new long-term exhibits. The number of daily visitors attending each exhibit is modeled by functions v and s, where n is the number of days since the exhibits opened. Visual Arts Exhibit Sculpture Exhibit 10 50 100 120 200 210 154 147 145 143 Which statement accurately describes this situation? A. As the number of days increases, the number of daily visitors at both exhibits decreases to zero. B. As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a higher amount than the number of daily visitors at the sculpture exhibit. C. As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a lower amount than the number of daily visitors at the sculpture exhibit. D. As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to the same amount as the number of daily visitors at the sculpture exhibit.

Answers

Answer:

the answer is C

Step-by-step explanation:

As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a lower amount than the number of daily visitors at the sculpture exhibit.

As the number of days increases, the number of daily visitors at the visual arts exhibit levels off to a lower amount than the number of daily visitors at the sculpture exhibit.

The correct option is C.

A function is a law that relates a dependent and an independent variable.

The function representing the Visual Arts Exhibit is

V(n) = (800/x) +120

V(10) = 80+120 = 200

V( 50) = 16+120 = 136

V(100) = 8 +120 = 128

V(120) = 6.67 + 120 = 128.67

V(200) = 4 +120 = 124

The number of visitors in the Visual Arts Exhibit is decreasing with increasing number of days.

Therefore correct option is C .

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help, i will give brainliest

Answers

Answer:

The answer is J

Step-by-step explanation:

If you start from Quinn's location (8,7), and move south 3 units, you get to (8,4). Then you move to the west 4 units and that gets you to (4,4).

hope this helped! :)

the same ice cream shop is running a sale on cylindrical shaped tubs of ice cream. The cylinder has a radius of 4.5 cm and a height of 18 cm. Find the volume of a tub of ice cream​

Answers

Answer:

you got this

Step-by-step explanation:

I believe in you

The area of a circle is 4π in². What is the circumference, in inches? Express your answer in terms of π.

Answers

Answer:

C = 4π in

Step-by-step explanation:

We require to find the radius r of the circle

Given the area is 4π , then

πr² = 4π ( divide both sides by π )

r² = 4 ( take the square root of both sides )

r = [tex]\sqrt{4}[/tex] = 2

Then

C = 2πr = 2π × 2 = 4π inches

Answer:

4π in

Step-by-step explanation:

The formula for area is πr². We will work backwards from 4π. First, I will do √4 so I can find r.

√4 = 2

Now, I know that r = 2. Next, I will substitute r into the circumference formula which is 2πr.

2π(2) - I know r is 2 from my previous set.

Now, I will simplify.

2 · 2 π = 4π

Since the question is asking in terms of π, I will not simplify all the way, and leave pi as is.

The high school soccer team can have no more
than 22 players on the roster. Write and solve an
inequality finding the number of players the
coach may choose if the coach already has 13
players.

Answers

Answer:

13 + x ≤ 22

x ≤ 9

Step-by-step explanation:

Total players = 22

Players available = 13

Players remaining = x

The inequality can be written as:

Players available + Players remaining ≤ Total players

13 + x ≤ 22

x ≤ 22 - 13

x ≤ 9

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Answers

Answer:

1. D

2. B

3. C

4. A

Step-by-step explanation:

just know when the sentence says "each" or "per" next to a number, there need to be an x next to it.

In other words, I kinda just winged it :P

D. y= x+35
B. y= 70x+55
C. y= 55x+70
A. y= 3x+6




9. (10 points) Find the inverse Laplace transform of 232 +7s+14 (32+2x+10) (5+1)
8. (10 points) Find the Laplace transform of f(t) = t- cos(3t) +e7+(t - 1)2.

Answers

The Laplace transform of f(t) = t - cos(3t) + [tex]e^{7t}[/tex]+ (t - 1)² is:

L{f(t)} = (1 - 2/s + 1/s²) - (s/(s² + 9)) + 1/(s - 7) + 2/s³

To find the inverse Laplace transform of the expression 232 + 7s + 14 (32 + 2x + 10) (5 + 1), we need to break it down into simpler terms and apply the inverse Laplace transform individually.

Given expression: 232 + 7s + 14 (32 + 2x + 10) (5 + 1)

Let's simplify the expression first:

232 + 7s + 14 (32 + 2x + 10) (5 + 1) = 232 + 7s + 14 ×42× 6

Simplifying further:

232 + 7s + 3528

Now we have a simple expression. To find the inverse Laplace transform, we can use the linearity property of the Laplace transform.

Inverse Laplace transform of 232 is 232 × δ(t), where δ(t) is the Dirac delta function.

Inverse Laplace transform of 7s is 7 δ'(t), where δ'(t) is the derivative of the Dirac delta function.

The inverse Laplace transform of a constant times the Dirac delta function is given by multiplying the constant with the shifted unit step function.

Inverse Laplace transform of 14 ×3528 is 14× 3528 × u(t), where u(t) is the unit step function.

Therefore, the inverse Laplace transform of the given expression is:

Inverse Laplace transform of (232 + 7s + 14 (32 + 2x + 10) (5 + 1)) = 232 ×δ(t) + 7 δ'(t) + 14×3528× u(t)

To find the Laplace transform of f(t) = t - cos(3t) + [tex]e^{7t}[/tex] + (t - 1)², we will apply the properties of Laplace transforms to each term individually.

Laplace transform of t:

The Laplace transform of t, denoted as L{t}, is given by 1/s^2.

Laplace transform of cos(3t):

The Laplace transform of cos(3t), denoted as L{cos(3t)}, is given by s/(s²+ 9).

Laplace transform of [tex]e^{7t}[/tex]:

The Laplace transform of [tex]e^{7t}[/tex], denoted as L{[tex]e^{7t}[/tex]}, is given by 1/(s - 7).

Laplace transform of (t - 1)²:

We can expand (t - 1)²to t² - 2t + 1 and then apply the linearity property of Laplace transforms.

Laplace transform of t²:

The Laplace transform of t², denoted as L{t²}, is given by 2/s³.

Laplace transform of 2t:

The Laplace transform of 2t, denoted as L{2t}, is given by 2/s².

Laplace transform of 1:

The Laplace transform of 1, denoted as L{1}, is given by 1/s.

Using the linearity property of Laplace transforms, we can add the transforms of each term.

Laplace transform of f(t):

L{t} - L{cos(3t)} + L{[tex]e^{7t}[/tex]} + L{(t - 1)²}

= 1/s² - s/(s² + 9) + 1/(s - 7) + 2/s³ - 2/s² + 1/s

= (1 - 2/s + 1/s²) - (s/(s² + 9)) + 1/(s - 7) + 2/s³

Therefore, the Laplace transform of f(t) = t - cos(3t) + [tex]e^{7t}[/tex]+ (t - 1)² is:

L{f(t)} = (1 - 2/s + 1/s²) - (s/(s² + 9)) + 1/(s - 7) + 2/s³

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Please answer with explanation

Answers

a: 550-n×55

Step-by-step explanation:

because she withdraws every week 55 then the equation is that

Answer:

a. A = 550 - (n55)b. $165.00

Explanation:

a. Amount of remaining dollars = $550 (the initial amount) - (numbers of weeks times $55 that she withdraws weekly)

so the equation is: A = 550 - (n55)

b. using the equation in (a) we can determine the amount of money in Shirley's account after 7 weeks.

A = 550 - (7×55)

A = 550 - 385

A = $165.00

How can she might choose a random sample of five students from her class of 35 students?


Answers

Answer:

who?

Step-by-step explanation:

Nationwide, 40% of college seniors say that if they could start their college education over, they would have selected a different major. A student researcher in the education department selected a random sample of 50 seniors at Harvard and asked them if they the same question.

a. Let X = number in 50 randomly selected seniors that would select a different major at Harvard.
Assuming the percent of seniors at Harvard that would select a different major is consistent with the national percent, would X have an approximately normal distribution? If so, what would the mean and standard deviation be?

b. If 12 of the 50 students sampled at Harvard said they would have selected a different major, would you think the percent that would have selected a different major is different at Harvard than the national average? Be sure to clearly explain your answer.

Answers

Given: Nationwide, 40% of college seniors say that if they could start their college education over, they would have selected a different major. A student researcher in the education department selected a random sample of 50 seniors at Harvard and asked them if they the same question.

a. Mean is 0.40 (40%) and Standard deviation = 0.0775.

b. we cannot conclude that the percent that would have selected a different major is different at Harvard than the national average.

a. Assuming the percent of seniors at Harvard that would select a different major is consistent with the national percentage, X (the number in 50 randomly selected seniors that would select a different major at Harvard) would have an approximately normal distribution.

The mean would be the same as the population mean, which is 0.40 (40%).

The standard deviation would be calculated using the formula given below:

Standard deviation = sqrt[(p(1-p))/n], Where, p = population proportion (0.40), n = sample size (50).

Standard deviation = sqrt[(0.40 x 0.60)/50]

Standard deviation ≈ 0.0775

b. To determine if the percent that would have selected a different major is different at Harvard than the national average, we need to perform a hypothesis test.

Hypotheses:H_0: p = 0.40 (The proportion of seniors at Harvard who would have selected a different major is the same as the national percentage.)

H_a: p ≠ 0.40 (The proportion of seniors at Harvard who would have selected a different major is different from the national percentage.)

Since the sample size (50) is greater than 30 and the population standard deviation is unknown, we can use the z-test to test the hypothesis.

The formula for the test statistic is given below:

z = (p - P)/sqrt[(P(1 - P))/n], Where, p = sample proportion, P = population proportion, n = sample size.

z = (12/50 - 0.40)/sqrt[(0.40 x 0.60)/50]

z ≈ -1.84

Using a significance level of α = 0.05 and a two-tailed test, the critical values of z are ±1.96.

Since the calculated z-value (-1.84) is less than the critical value (-1.96), we fail to reject the null hypothesis.

We do not have sufficient evidence to conclude that the proportion of seniors at Harvard who would have selected a different major is different from the national percentage.

Therefore, we cannot conclude that the percent that would have selected a different major is different at Harvard than the national average.

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PLS HELP WITH THIS ONE if a radius of a cake is 13 and the ribbon of the cake is 36 cm will the ribbon be long enough to go around the edge of the cake?

Answers

Answer:

No, the ribbon would not be long enough to go around the edge of the cake.

Circumference ≈ 81.7 cm

Step-by-step explanation:

1) Calculate the circumference of the cake

Circumference - the length around a circle

[tex]C=2\pi r[/tex] where r is the radius

Plug 13 in as the radius

[tex]C=2\pi (13)\\C=26\pi\\C= 81.7[/tex]

Therefore, the circumference of the cake is approximately 81.7 cm.

Because the ribbon is only 36 cm long, it would not be enough to go around the edge of the cake.

I hope this helps!

HELP WILL MARK BRAINLIEST

Answers

Answer:

The answer is a...............

y=-3x + 4
y = 3x - 2
What solution does this system have? How do you
know? Justify (explain).

Answers

Answer:

(1,1)

Step-by-step explanation:

Since both the equations equal y, we can replace one of them with y.

y=-3x + 4

3x - 2 = -3x + 4

Add 3x to both sides.

6x - 2 = 4

Add 2 to both sides of the equation.

6x = 6

x = 1

Now that we know what x is, we can plug that value into one of the original equations.

y = 3x -2

= 3(1) - 2

= 3 - 2

= 1

Janet's ice cream shop offers a child-size cone
with a single scoop of ice cream. Assume the
scoop of ice cream is a sphere with a volume
of 367 cubic centimeters. Find the diameter of the scoop?

Answers

Answer:

turtle biscuit believes in you

Part 1: Given cosine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,[infinity]). Part 2: Given θ = 495°, convert the value of θ to radians and find sec θ.

Answers

The required answer is  sec θ = -√2.

Explanation:-

Part 1: Given cosine of theta is equal to radical 3 over 2 on the domain [0,[infinity]).

To determine three possible angles θ,  the cosine inverse function which is a cos and since cosine function is positive in the first and second quadrant. Therefore  conclude that, cosine function of θ = radical 3 over 2 implies that θ could be 30 degrees or 330 degrees or 390 degrees. So, θ = {30, 330, 390}.Part 2:To convert 495° to radians, multiply by π/180°.495° * π/180° = 11π/4To find sec θ, we use the reciprocal of the cosine function which is sec.

Therefore, sec θ = 1/cos θ.To find cos 11π/4,  the reference angle, which is 3π/4. Cosine is negative in the third quadrant so the final result is sec θ = -√2.

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The point with coordinates $(6,-10)$ is the midpoint of the segment with one endpoint at $(8,0)$. Find the sum of the coordinates of the other endpoint.

Answers

Answer:

[tex](4,-20)[/tex]

Step-by-step explanation:

Let [tex]P(x,y),\,Q(u,v)[/tex] be two points then midpoint of [tex]PQ[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2})[/tex]

Put midpoint as [tex](6,-10)[/tex] and [tex](u,v)=(8,0)[/tex]

Therefore,

[tex](\frac{x+u}{2},\frac{y+v}{2})=(6,-10)\\\\(\frac{x+8}{2},\frac{y+0}{2})=(6,-10)\\\\\frac{x+8}{2}=6,\,\frac{y}{2}=-10\\\\x+8=12,\,y=-20\\x=12-8,\,y=-20\\x=4,\,y=-20[/tex]

So, the other point is [tex](4,-20)[/tex]

Other Questions
Consider the economies of Abbitibi and Prycia, which are identical except that the multiplier in Abbitibi is larger than that in Prycia.This means that Abbitibi's GDP ismore sensitive than Prycia's GDP to fluctuations in the components of total spending.Features of the economy that reduce its sensitivity to shocks are called automatic stabilizers.Suppose again that the economies of Abbitibi and Prycia are identical except that Abbitibi has instituted a system of unemployment insurance, whereas Prycia hasn't.Prycia's economy is sensitive to fluctuations in GDP than Abbitibi's economy. This is because the system of unemployment insurance has Abbitibi's multiplier. A parallel-plate capacitor is charged by a 18.0Vbattery, then the battery is removed.What is the potential difference between the plates after the battery is disconnected?hat is the potential difference between the plates after a sheet of Teflon is inserted between them?Express your answer with the appropriate units. Given: Quadrilateral DEFG is inscribed in circle P.Prove: mD+mF=180It is given that quadrilateral DEFG is inscribed in circle P. Because a circle measures 360, mEFG + mGDE =360. By the Response area, 12mEF + 12mGDE =180. By the inscribed angles theorem, Response area = 12mGDE and Response area = 12mEFG This means mD+mF=180 by the Suppose AAA Airlines is suffering from low revenues and profits. If the company wants to increase revenue and the price elasticity of demand is -0.75, the company should: a) keep the price unchanged because if the price is either increased or decreased total revenue will fall. b) decrease the price of tickets. c) advertise. The only option the company has to raise total revenues is to advertise. d) increase the price of tickets. answer all questions4.3 Hadley Bear, Inc. uses a periodic inventory system. At the end of the January 31, 2017, the accounting records for the most popular them in inventory showed the following Transactions Units Unit C use fermats theorem to find a number x between 0 and 37 with x 73 congruent to 4 modulo 37. State two improvements of the Baumol - Tobin theory in relation tothe Liquidity Preference Theory of Keynes ? (c) Describe the relationship between the concentration of glucose in the culture medium and the ATP concentration in the cells. glucose O2 ATP1. 5mM 0 0. 31. 5 mM 5 0. 651. 5 mM 10 0. 751. 5 mM 21 0. 8525 mM 0 0. 425 mM 5 0. 725 mM 10 0. 825 mM A 100 face value floater is paying LIBOR on a semiannual frequency. Today is t=0, 6 month LIBOR is equal to 6.78% (annualized), hence the first coupon 6 month from today will be $3.39. a) What is the duration of the floater at t=0? b) What is its modified duration? c) What is its convexity? On January 31 of the current year, Yard Spray Inc. reacquired 14,000 shares of its common stock at $34 per share. On June 14, 8,800 of the reacquired shares were sold at $37 per share, and on November 23, 3,400 of the reacquired shares were sold at $39. Journalize the transactions of January 31, June 14, and November 23. All living things are made of cells. What might be a major difference between cells that are found in human skin and human nerve cells?A) human skin cells do not have a nucleus B) nerve cells do not have a membrane so signals can be sent outside the cell C) nerve cells are much longer to aid in sending signals to and from the brain D) skin cells lack cytoplasm since nutrients do not need to pass in intracellular space determine the molecular formulas for compounds having the following empirical formula and molar mass: c4h10n; experimental molar mass 288 g/mol You have $27,454.09 in a brokerage account, and you plan to deposit an additional $3,000 at the end of every future year until your account totals $210,000. You expect to earn 10% annually on the account. How many years will it take to reach your goal? Round your answer to the nearest whole number. years 14. Expand the following abbreviations: IMF FEMA NASDAQ FDI Michel works for Northwest Gaskets in Alberta. He earns $39,000.00 per year and is paid bi-weekly. His TD1 federal and provincial claim codes are 2. In March 2022, Michel receives a production bonus for meeting his 2022 targets. The bonus of $3,640.00 is paid separately from his regular pay. Calculate the income tax on Michel's bonus payment. At 3.5% interest rate compounded quarterly, how many years does it take to quadruple your money? 2. (3 marks) You need $800,000 for a new house in 10 years. If you could earn 0.5% per month, how much will you have to deposit today? 3. (3 marks) An investment guarantees that you can receive back $28,000 six years later by investing $16,000 today. What interest rate do you earn if the rate is compounded semi- annually? 4. (3 marks) A bank is newly established and offers savings deposits rate of 2.5% compounded semi- annually. If you deposit $65,000 into that account, how many years will you have to wait until your account is worth $80,000? Which of the following statements is true of behavior therapy? Multiple Choice a.It is based mainly on psychoanalytic approaches b.It involves the use of transference and dream interpretation c.It emphasizes the past history and childhood of the patient. d.It works especially well for eliminating anxiety disorders Which of the following quotes reveals that the experience shown in the image was probably rare after the Civil War?a. "It was a time of great change and progress."b. "Most people were able to rebuild their lives quickly."c. "The destruction caused by the war was extensive."d. "Life returned to normal for everyone involved." Marginal analysis is used for both "either-or" and "how much" decisions. only "either-or" decisions. only "how much" decisions. only those situations where the time value of money is involved. how to conduct a formal test for lack of fit of the regression model; use =0.01 in r