INDUSTRIES IS CONSIDERING PURCHASING A CERTAIN STOCK. AFTER
CONSIDERABLE RESEARCH, THE BOARD MEMBERS DETERMINE THAT THERE IS A 60% CHANCE OF MAKING $8000, A 10% CHANCE OF BREAKING EVEN, AND A 30% CHANCE
OF LOSING $6200. FIND THE EXPECTATION OF THIS PURCHASE

Answers

Answer 1
0.6(8000) + 0.1(0) + 0.3(-6200)
4800 + 0 - 1860
$2140

Related Questions

need heeeelp please ​

Answers

Answer:

376.99112cm²

Step-by-step explanation:

A=2 pi rh + 2 pi r²

A=(2 x pi x 5 x 7) + (2 x pi 5²)

pi 22/7

Ali’s ate 1/3 of a pizza for lunch. Later, she ate 2/5 of the remaining pizza as a snack. How much of the pizza did she eat altogether?

Answers

Answer is 3/5 of the pizza
Step by step
We know she ate 1/3 of a pizza, that leaves 2/3 left over
We know she ate 2/5 of the 2/3 left overs
So
2/5 x 2/3 = 4/15 she ate as a snack

Add this to the 1/3 she ate for lunch
1/3 + 4/15 = total pizza she ate
To add these, we need the denominator the same
1/3 = x/15, we multiply the 3 x 5 to get 15 so we do the same to the numerator, 1 x 5 = 5
So 5/15 + 4/15 = 9/15
We can simplify this to 3/5
Problem solved

The state lottery board is examining the machine that randomly picks the lottery numbers. On each trial, the machine outputs a ball with one of the digits 0 through 9 on it. (The ball is then replaced in the machine.) The lottery board tested the machine for 20 trials and got the following results.

Answers

Using the probability concept, we have that:

a) The experimental probability is of 0.75 = 75%.

b) The theoretical probability is of 0.5 = 50%.

c) As the number of trials increases, the probabilities are expected to get closer, though they might not be equal.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes. For an experimental probability, these number of outcomes are taken from previous trials. A theoretical probability is calculated before any trial, and as the number of trials increase, the experimental and theoretical probabilities get closer.

From the table, there were 20 trials, and 2 + 3 + 4 + 4 + 2 = 15 resulted in even numbers, hence the experimental probability is:

p = 15/20 = 0.75 = 75%.

For a fair machine, even and odd numbers should be equally as likely, hence the theoretical probability is of 0.5 = 50%.

For item c, we have that as the number of trials increases, the probabilities are expected to get closer, though they might not be equal.

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Can someone please help me with this ty

Answers

Answer:

92 degrees

Step-by-step explanation:

The sum of the exterior angles will be 360.  

67 x 4 = 268.  That means that the last angles must be 92 (360 - 268)

Checking account A charges a monthly service fee of $12 and a wire transfer
fee of $10.50, while checking account B charges a monthly service fee of $21
and a wire transfer fee of $8.50. Which checking account is the better deal if
4 wire transfers are made per month?
A. Checking account B IS the better deal, because its total monthly
fees amount to $55, while those for checking account A amount to
$54.
B. Checking account B is the better deal, because its total monthly
fees amount to $54, while those for checking account A amount to
$55.
C. Checking account A is the better deal, because its total monthly
fees amount to $55, while those for checking account B amount to
$54.
c
D. Checking account A is the better deal, because its total monthly
fees amount to $54, while those for checking account B amount to
$55.

Answers

For only 4 wire transfers, Checking account A has a monthly fee of $54, while checking account B has a monthly fee of $55, so the correct option is D.

Which checking account is better?

Checking account A charges a monthly fee of $12, plus $10.50 for each wire transfer, then the total cost if you make 4 wire transfers is:

C = $12 + $10.50*4 = $54

For checking account B, we have a fixed cost of $21, plus $8.50 per each wire transfer, then the total cost for 4 wire transfers is:

C'  = $21 + 4*$8.50  = $55

So, if you make only 4 wire transfers per month, checking account A is a better option.

Then we can see that the correct option is D.

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Please help thank you asap

Answers

please rotate picture

Answer:

[tex]y=-2x+1[/tex]

Step-by-step explanation:

Looking at the line can ensure that the slope is negative

The rise/run is 4/-2, ten the slope is:

[tex]s=\frac{-4}{2} =-2[/tex]

b intercept is 1

The equation:

[tex]y=-2x+1[/tex]

Hope this helps

find the value of x,y in the given figure with reasons.​

Answers

Answer:

answer

x= 40°

Step-by-step explanation:

x= 40° [ base angle of isocles triangle]

AN aquariums dimension are 3 1/4 x 2ft x 1 3/4. what is the volume of the aquarium

Answers

The volume of the rectangular prism aquarium = 17 1/16 ft.

What is the Volume of a Rectangular Prism?

Volume of a rectangular prism = (l)(w)(h), where:

Length of the prism = lWidth of the prism = wHeight of the prism = h

The aquarium is a rectangular prism. Its dimensions are given as:

Length (l) = 3 1/4 ft

Width (w) = 3 ft

Height (h) = 1 3/4 ft

Substitute

Volume of the rectangular prism aquarium = (3 1/4)(3)(1 3/4)

Volume of the rectangular prism aquarium = (13/4)(3)(7/4)

Volume of the rectangular prism aquarium = (13 × 3 × 7)/(4 × 4)

Volume of the rectangular prism aquarium = (273)/(16)

Volume of the rectangular prism aquarium = 17 1/16 ft.

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What is the slope of the graph shown below? ​

Answers

Answer:

Option 3: -2

Step-by-step explanation:

The slope of the graph is negative, and the only option with a negative term for the slope is -2.

So the slope of the graph is -2.

Graph the function y=√x+1-4. Which point lies on the graph?
a.) (-2,3)
b.) (1,4)
c.) (-1,-4)
d.) (0,4)

Answers

The answer is C (-1,-4)
I got the answer by graphing the equation and plotting each the points down to see which one lies on the graph

Which set of ordered pairs represents a function?
{(-6,-4), (1, -7), (-4, 3), (-4, 8)}
{(-8, -3), (-8, 9), (9, 6), (1, -4)}
{(4,1), (-6, 6), (5,-2), (-4,1)}
{(-3, 6), (-1,0), (-8, 1), (-8, -3)}

Answers

Answer:

{(4,1), (-6, 6), (5,-2), (-4,1)} set of ordered pairs represents a function.

Step-by-step explanation:

Because every element or component of domain has unique image in co-domain.

Hope its helpful :-)

If so, please mark me as brainlist :-)

e) 1 cubic centimetres = 1÷1000000 cubic meter. Rewrite in scientific notation​

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: cm {}^{3} = \cfrac{1}{1000000} \: \: m {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: cm {}^{3} = \cfrac{1}{10 {}^{6} } \: \: m {}^{3} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 1 \: \: cm {}^{3} = {}{10 {}^{ - 6} } \: \: m {}^{3} [/tex]

IF A BASEBALL TEAM CONSISTS OF 18 PLAYERS, HOW MANY POSSIBLE GROUPS
OF 9 MAN TEAMS ARE POSSIBLE?

Answers

The number of ways men can be selected from the team of 18 is 48,620ways

Combination and Permutation

Permutation has to do with arrangement while combination has to do with selection.

If a baseball team consists of 18 players and 9 man are possible in the team, the number of ways the men can be chosen is calculated using the combination formula below;

nCr = n!/(n-r)!r!

Given the following

n =18

r = 9

Substitute

18C9 = 18!/(18-9)!9!
18C9 = 18!/9!9!
18C9 = 48,620

Hence the number of ways men can be selected from the team of 18 is 48,620ways

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WILL GIVE BRAINLIEST

(04.01, 04.02 HC)

Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs.

Part A: Write a pair of linear equations to show the relationship between the number of minutes Jackie runs (x) and the number of minutes she dances (y) every day. (5 points)

Part B: How much time does Jackie spend running every day? Show your work. (3 points)

Part C: Is it possible for Jackie to have spent 45 minutes dancing if she runs and dances for a total of exactly 55 minutes and dances for 25 minutes longer than she runs? Explain your reasoning. (2 points)

Answers

A. The pair of linear equations are: x + y = 55 and y = x + 25

B. Number of time she spend running everyday is: 15 minutes.

C. It is not possible.

How to Write a System of Linear Equations?

A system of equations consist of linear equations that have unknown variables whose values make the linear equations in the system true.

Part A: To write a pair of linear equations, do the following,

Let x represent the time Jackie runs

Let y represent the time Jackie dances

We are given that, Jackie runs and dances for a total of 55 minutes every day, therefore, the first linear equation would be:

x + y = 55 --> equation 1

We are also given that Jackie dances for 25 minutes longer than she runs, therefore, the second linear equation would be:

y = x + 25 --> equation 2

Therefore, the two pair of linear equations that shows the relationship between the number of minutes Jackie runs and dances everyday are:

x + y = 55

y = x + 25

Part B: Substitute y = (x + 25) into equation 1

x + y = 55 --> equation 1

x + x + 25 = 55

2x + 25 = 55

2x = 55 - 25

2x = 30

x = 15

Therefore, the number of time she spend running everyday is: 15 minutes.

Part C:

If she spent 45 minutes dancing (y = 45), and x = 15, substitute the values into x + y = 55 to find out if it is possible.

15 + 45 = 55

60 = 55 (not true)

Therefore, it is not possible.

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how many cubic meters in 179.66 cubic centimeters​

Answers

Answer:

0.00018

Step-by-step explanation:

formula:Divide the volume by 1e+6

Although all of the following systems can be solved via the substitution method, substitution would be the best method for solving which system.
Group of answer choices

Answers

Using the substitution method, the system of equation that is easily solved is:

c. y = 2x + 3

2x + y = 5

How to Solve A System of Equations Using the Substitution Method?

Using the substitution method to solve a system of equations is best when one of the equations have one isolated variable that we can simply plug its value into the second equation.

For example, given the system of equations:

y = 2x + 3 --> eqn. 1

2x + y = 5 --> eqn. 2

Substitute y = (2x + 3) into eqn. 2 and find x:

2x + y = 5 --> eqn. 2

2x + 2x + 3 = 5

4x + 3 = 5

4x = 5 - 3

4x = 2

x = 2/4

x = 1/2

Substitute x = 1/2 into eqn. 1 to find y

y = 2x + 3 --> eqn. 1

y = 2(1/2) + 3

y = 1 + 3

y = 4

From the above, we can see that the system of equations that is quite easy to solve using the substitution method is:

c. y = 2x + 3

2x + y = 5

The rest of the equations are quite different and not as straightforward as solving as this using the substitution method.

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Please help 3.7Q3. Please type the answer in order.

Answers

Step-by-step explanation:

since the y- axis stands for velocity (and the x-axus for time), speeding up means when the curve goes up (increasing velocity), and slowing down means when the curve goes down (decreasing velocity), all when reading the graph from left to right (small time values to larger time values).

(a)

speeding up

t in [0, 1)

or

0 <= t < 1

I would exclude t = 1, because at that point the slope is 0, there is no speeding up there.

slowing down

t in (1, 3)

or

1 < t < 3

the same argumentation for excluding 1 and 3, because there the slope of the curve turns 0 (just the turning point from one tendency to the other), and there is no speeding up or slowing down at these points.

(b)

speeding up

t in (1. 2)

or

1 < t < 2

slowing down

t in [0, 1) or in (2, infinity)

or

0 <= t < 1 || 2< t < infinity

we could use 3 instead of infinity, as this seems to be the last point of the drawn curve, but normally this kind of drawing tells me "infinity".

Show Work Please Thank You

Answers

Answer:

[tex] \frac{\pi}{4} [/tex]

Step-by-step explanation:

[tex] \sf let \: y = { \tan }^{ - 1} ( \tan \frac{3\pi}{4} ) \\ \\ \sf \hookrightarrow \tan y = \tan \frac{3\pi}{4} \\ \\ \sf \hookrightarrow \tan y = \tan(\pi - \frac{\pi}{4} ) \\ \\ \sf \hookrightarrow \tan y = \tan( - \frac{\pi}{4} ) \\ \\ \sf \hookrightarrow \tan y = - \tan \frac{\pi}{4} \\ \\ \boxed {\hookrightarrow{ \bold{y = - \frac{\pi}{4} } } }[/tex]

HELP ASAP WILL GIVE BRAINLIEDT IF CORRECT!!!!!!!
Find the equation to the line below

Answers

Answer:

y = 3/2x + 2

Step-by-step explanation:

y = mx + c

y = gradient(x intercept) + y intercept

y = 3/2x + 2

Answer:

[tex]\sf y =\dfrac{3}{2}x+2[/tex]

Step-by-step explanation:

Equation of line:

 Pick any two points on the line.

 (0,2) and (2 , 5)

  (0,2) ⇒ x₁ = 0  & y₁ = 2

  (2,5) ; x₂ = 5 & y₂ = 5

[tex]\sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

            [tex]\sf =\dfrac{5-2}{2-0}\\\\=\dfrac{3}{2}[/tex]

Equation of line in point slope form:

         [tex]\sf y - y_1 =m(x -x_1)[/tex]

        Point(0 ,2) and m = 3/2

       [tex]\sf y - 2 = \dfrac{3}{2}(x -0)\\\\ y - 2 = \dfrac{3}{2}x\\\\[/tex]

Equation of line in slope y-intercept form:

              [tex]\sf y =\dfrac{3}{2}x+2[/tex]

The probability that Greg is on time for a given class is 14% . If there are 30 classes during the semester, what is the best estimate of the number of times out of 30 that Greg is on time to class? Round your answer to the nearest integer.

Answers

The number of times that Greg is on time to class is 4

How to estimate the number of times that Greg is on time to class?

The given parameters are:

Probability that Greg is on time, p = 14%

The sample size, n = 30

The estimate of the number of times that Greg is on time to class is

E(x) = np

Substitute the known values in the above equation

E(x) = 30 * 13%

Evaluate the product

E(x) = 3.9

Approximate

E(x) = 4

Hence, the number of times that Greg is on time to class is 4

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The graph shows the side view of a water slide

Answers

Step-by-step explanation: Given that the graph shows the side view of a water slide with dimensions in feet.

We are to find the rate of change between the points (0, ?) and (?, 40).

From the graph, we note that

the y co-ordinate for the x co-ordinate 0 is 80 and the x co-ordinate for the y co-ordinate 40 is 5.

So, the given two points are (0, 80) and (5, 40).

The rate of change for a function f(x) between the points (a, b) and (c, d) is given by

Therefore, the rate of change for the given function between the points (0, 80) and (5, 40) is

Thus, the required rate of change is -8.

What is the perimeter of angle DEF to the nearest tenth of a unit?
helppppp
tysm

Answers

Answer:  36.4 units  (choice A)

===========================================================

Explanation:

Let's use the distance formula to find the distance from D to E

[tex]D = (x_1,y_1) = (-7,2) \text{ and } E = (x_2, y_2) = (3,4)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-7-3)^2 + (2-4)^2}\\\\d = \sqrt{(-10)^2 + (-2)^2}\\\\d = \sqrt{100 + 4}\\\\d = \sqrt{104}\\\\d = \sqrt{4*26}\\\\d = \sqrt{4}*\sqrt{26}\\\\d = 2\sqrt{26}\\\\d \approx 10.198\\\\[/tex]

Note: uppercase D refers to the point, while lowercase d is the distance from D to E.

The length of segment DE is roughly 10.198 units long.

----------------

Repeat for the distance from E to F.

[tex]E = (x_1,y_1) = (3,4) \text{ and } F = (x_2, y_2) = (5,-7)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-5)^2 + (4-(-7))^2}\\\\d = \sqrt{(3-5)^2 + (4+7)^2}\\\\d = \sqrt{(-2)^2 + (11)^2}\\\\d = \sqrt{4 + 121}\\\\d = \sqrt{125}\\\\d = \sqrt{25*5}\\\\d = \sqrt{25}*\sqrt{5}\\\\d = 5\sqrt{5}\\\\d \approx 11.1803\\\\[/tex]

Segment EF is roughly 11.1803 units long.

----------------

Repeat for the distance from F to D.

[tex]F = (x_1,y_1) = (5,-7) \text{ and } D = (x_2, y_2) = (-7,2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(5-(-7))^2 + (-7-2)^2}\\\\d = \sqrt{(5+7)^2 + (-7-2)^2}\\\\d = \sqrt{(12)^2 + (-9)^2}\\\\d = \sqrt{144 + 81}\\\\d = \sqrt{225}\\\\d = 15\\\\[/tex]

Unlike the others, this result is exact.

----------------

Add up the three segment lengths to get the perimeter

DE + EF + FD

10.198 +  11.1803 + 15

36.3783

The perimeter is approximately 36.3783 units which rounds to 36.4

The answer has been confirmed with GeoGebra.

A 13km stretch of road needs repairs. Workers can repair 3 1/2 km of road per week.
How many weeks will it take to repair this stretch of road?

Answers

The computation shows that the number of weeks that it take to repair this stretch of road will be 4 weeks.

How to compute the number of weeks?

From the information given, we are told that a thirteen kilometers stretch of road needs repairs and that the workers can repair three and half kilometers of road per week.

The question is simply for us to calculate the number or weeks that it will take to be able to repair the stretch of road.

Therefore, based on the information given, it should be noted that to get the number of weeks that will be used to repair the road, we simply have to divide the total distance or the road by the distance that is repaired every week.

Therefore, the number of weeks that it will take to be able to repair this stretch of road will be:

= 13/3.5

= 3.7

= 4 weeks approximately

Therefore, based on the information given, the number of weeks that's required is 4 weeks.

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Name a pair of opposite rays on plane L.

Answers

Answer:

GC and GD

Step-by-step explanation:

The only points on plane L are: J, C, G, D

GC and GD

If there are 12 donuts per box, which of the following equations will give you the number of boxes, x, that Joe needs to buy?

Answers

The equation that would give the number of boxes, x, that Joe needs to buy is 12x = 60. The correct option is c.) 12x = 60

Writing an equation

From the question, we are to determine the equation that will give the number of boxes, x, that Joe needs to buy

From the given information,

Joe needs 60 donuts to feed his construction crew

Also,

There are 12 donuts per box

This means he needs to buy 60/12 boxes of donut

Since the number of boxes Joe needs to buy is x

∴ 60/12 = x

60 = 12x

12x = 60

Hence, the equation that would give the number of boxes, x, that Joe needs to buy is 12x = 60. The correct option is c.) 12x = 60

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Evaluate the function f(x) = –2x2 – 3x + 5 for the input value –3.

−22
–4
2
32

Answers

Hi there,

please see below for solution steps :

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

Evaluate by substituting :

[tex]\begin{gathered} \boldsymbol{f(x)=-2x^2-3x+5; \ evaluate \ when \ x=-3} \\\boldsymbol{Write \ -3 \ everywhere \ you \ see \ and \ x :}\\\boldsymbol{f(-3)=-2(-3)^2-3(-3)+5}\\\boldsymbol{Evaluate \ using \ Order \ of \ Operations :}\\\boldsymbol{f(-3)=-2(9)+9+5= > -18+9+5= > -18+14= > -4}\end{gathered}[/tex]

Therefore, the answer is [tex]\LARGE\textbf{-4}[/tex].

I hope the answer - and steps - made sense to you !!

Happy Learning !!

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

Find the mode for the scores 3,760, 5,200, 8,750, 4,400, 5,250

Answers

Answer:

no mode

Step-by-step explanation:

no number appears more than once

therefore there is no mode

En la siguiente sucesión numérica 8,7,11,10,14 los dos números siguientes son

Answers

Numerical sequences

To find the missing numbers in the sequence, we must identify the rule by which they change.

The sequence starts at 8 and then decreases by 1, therefore, the second term is 7. The third term increases by 4 units with respect to the second, going from 7 to 11, and the fourth decreases again by 1, now remaining at 10.

The fifth term increases again by 4 units, from 10 to 14. This already gives us a clear idea of the rule that the sequence follows.

Decrease 1, increase 4, decrease 1, increase 4,…

                                                  ₊₄              ₊₄

                         8 , 7, 11, 10, 14,...,

                                            ⁻¹             ⁻¹               ⁻¹  

In this way, the sixth element must decrease by 1, that is 13 and the seventh must increase by 4, that is 17.

8, 7, 11, 10, 14, 13, 17,…

The next numbers that the numerical sequence are 13 and 17, to complete. ✅

The Red Label Scotch Company is planning to produce 600 litres of Scotch Whisky. Three components A, B & C are mixed to form the final product. Component A, B and C cost Rs.10, Rs.15 and Rs.20 per litre respectively. In the final product, the amount of A component to be 2½ times the amount of component C. The total cost of the components should be Rs.8250. Determine the quantity of each components which should be included in the final product. (Use inverse of matrix Method). ​

Answers

Answer:

c

Step-by-step explanation:

We want to obtain a sample to estimate a population mean. Based on previous evidence, researchers believe the population standard deviation is approximately
σ
=
24.4
. We would like to be 99.5% confident that the estimate is within 0.5 of the true population mean. How large of a sample size is required?

n
=

Answers

Using the z-distribution, it is found that a sample size of n = 18,805 is required.

What is a z-distribution confidence interval?

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

The margin of error is:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.z is the critical value.n is the sample size.[tex]\sigma[/tex] is the standard deviation for the population.

For this problem, the parameters are:

[tex]z = 2.81, \sigma = 24.4, M = 0.5[/tex].

Hence we solve for n to find the needed sample size.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.5 = 2.81\frac{24.4}{\sqrt{n}}[/tex]

[tex]0.5\sqrt{n} = 24.4 \times 2.81[/tex]

[tex]\sqrt{n} = 48.8 \times 2.81[/tex]

[tex](\sqrt{n})^2 = (48.8 \times 2.81)^2[/tex]

n = 18,805.

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Answer:

Step-by-step explanation:

What if the estimate is within 1 of the population mean?

Other Questions
What are some safer alternatives to these activities? Calculate the molality of a solution containing 14. 3 g of nacl in 42. 2 g of water This liquid carries red blood cells and white blood cells around the body. It also transports several different substances in solution, including-------- and------- . An old grindstone, used for sharpening tools, 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 200 N applied to its edge causes the wheel to have an angular acceleration of 0.844 rad/s2.What is the moment of inertia of the wheel (in kg m2)?________kg m2What is the mass (in kg) of the wheel?_______kgThe wheel starts from rest and the tangential force remains constant over a time period of 4.00 s. What is the angular speed (in rad/s) of the wheel at the end of this time period?_______rad/s An aquifer that is separated by impermeable rock is called a(n) _____________ aquifer. Question 2 of 20You should be working out at least how ____ days per weekA. sevenB. threeC. fourD. five When people are bribed to do what they already like doing, they start to see their actions as externally controlled rather than intrinsically appealing. this is called the:_______ HELP, i really need help with these for questions, Ill give Brainliest to whoever answers first, random answers will be reports. Read the passage from sugar changed the world. you could date a great change in the world to a visit one madame villeneuve made to france in 1714. that year, pauline, an enslaved woman from the caribbean, arrived in france as the personal servant of her mistress. when madame villeneuve set off from the coast to visit paris, she left pauline in a convent. the young woman spent her time studying with the nuns and went so far in her training that she asked to become a nun herself and remain in the convent. the nuns agreed, which enraged madame villeneuve. she rushed to a judge, demanding to have her property back. was pauline a free woman, a bride of christ, or an item to be bought, sold, and warehoused when she was not in use? twenty-three years earlier, king louis xiv had issued a set of rules that defined slavery as legal in the french sugar islands. but when two slaves managed to reach france, he freed themsaying they became free "as soon as they [touched] the soil" of france. the judges sided with paulineshe was real to them, human, not a piece of property. for pauline's judges, as for king louis, slavery far off across the seas was completely different from enslaved individuals in france. slave owners fought back, arguing that owners should be able to list their slaves as property when they arrived in france and take them with them when they left. though most parts of france agreed to this, lawmakers in paris hesitated. pierre lemerre the younger made the case for the slaves. "all men are equal," he insisted in 1716exactly sixty years before the declaration of independence. to say that "all men are equal" in 1716, when slavery was flourishing in every corner of the world and most eastern europeans themselves were farmers who could be sold along with the land they worked, was like announcing that there was a new sun in the sky. in the age of sugar, when slavery was more brutal than ever before, the idea that all humans are equal began to spreadtoppling kings, overturning governments, transforming the e What is the domain of the following points? Group of answer choices {-4, 1, 4} {-4, -1, 1, 4} {-1, 4, 1} {1, 4} ABC has vertices A(-2, 0), B(0,8), and C(4,2). Find the coordinates of the point of congruency of the altitudes (H) A company estimates that its cost and revenue can be modeled by the functions C)-0.75x+20,000and R(x)-1.50x where x is the number of units produced. The company's profit, P, is modeled byP(z) R(x)-C(z). Find the profit function P(x). Find the length of CB.5x 33x + 1 where may food worker eat durning breakes Crime became a negative result of immigration because You've reached the _______ stage of change when you keep up new healthier habits that have replaced old habits without much worry of returning to the old behavior. Please help!!!!! Two copies of the same Rational Function are shown below.On the graph below draw the Horizontal Asymptote and write the equation for the horizontal asymptote underneath. The slope of the line below is -3 which of the following point-slope form of the line? Ted's pancake kitchen suffers a short-run loss. when should ted decide to shut down rather than continue to produce? Ray is an African American who is currently enrolled at a four-year university wherehe is studying social work. Which of the following is his achieved status?Select one:O a. social workerO b. maleO c. African AmericanO d. college student