I Need Help With This Question!
I Need To Draw A Plot Line

I Need Help With This Question!I Need To Draw A Plot Line

Answers

Answer 1

Answer:

A line plot graph will show the repetition or frequency of information or value in a number line.

This line plot graph can be used to compare numbers over a certain limit. It is a simple and quick way to order data.

Steps to draw plot graph:-

Write the number sequence in ascending order. Mark the distinct numbers in the sequence.Draw a line and mark points with that distinct numbers. Now look at the sequence and check with the diagram. When a number in the sequence matches the number in the diagram. Then mark a point above that line corresponding to that value.

Ascending order: [tex]1\frac{1}{2}, 2\frac{1}{2} ,2\frac{3}{4} ,3,3\frac{1}{2}, 3\frac{3}{4}.\\[/tex]

refer the diagram below for the answer.

I Need Help With This Question!I Need To Draw A Plot Line

Related Questions

HURRY
If you try to solve a linear system by the substitution method and get the result 0 = 8, what does this mean?

A. The system has one solution, (0, 8).
B.The system has one solution, (8, 0).
C.The system has no solutions.
D.the system has an infinite number of solutions.

Answers

Answer:

C

Step-by-step explanation:

0 = 8 is a false statement which means the system has no solutions

The 0 = 8 shows the system has no solutions.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

we have 0= 8.

First whenever we get 0 = 0 in this case the solution will infinite many solution.

and, if we get the quantities on both side are equal then it have unique solution.

Lastly, if we have non equal quantity on both side of equal like 0= 8 then it does not have any solution.

Hence, 0 = 8 shows the system has no solutions.

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how to solve math word problems​

Answers

Look for key terms in the word problem to figure out if it’s addition, multiplication, division, or subtraction and then use the numbers to figure it out

Answer:

You have to know how to interperet a problem

Step-by-step explanation:

god gave you a brain use it

which is the product of 7/9 and 6? answer it

Answers

Final answer:

The product of multiplying 7/9 and 6 is 42/9, which can also be expressed as the mixed number 4 and 2/3.

Explanation:

Finding the product of two numbers in mathematics is a fundamental concept which involves multiplying the numbers together.

In the specific case of multiplying a fraction by a whole number, like 7/9 and 6, the process is straightforward.

To calculate 7/9 multiplied by 6, you can think of the whole number 6 as a fraction with a denominator of 1, which would make the problem 7/9 x 6/1.

When multiplying fractions, you simply multiply the numerators together and then multiply the denominators together. In this instance, the multiplication would look like (7 x 6) for the numerator and (9 x 1) for the denominator.

That simplifies to 42 over 9, which can be further simplified or left as an improper fraction depending on the context of the problem or the instructor's directions.

In the case of 42/9, which is already simplified, we can conclude that the product of 7/9 and 6 is 42/9, or 4 and 2/3 when written as a mixed number.

tom and jerry have to stuff and seal 63 envelopes for a new marketing campaign. jerry can stuff and seal 15 envelopes in 2 minutes. tom can do 3 envelopes per minutes . how long would it take them if they work together ?

Answers

Answer:

5

Step-by-step explanation:

The time taken to stuff and seal 63 envelopes by both Tom and Jerry will be 6 minutes.

Given the Parameters :

Jerry's rate = 15/2 = 7.5 envelopes per minute Tom's rate = 3 envelopes per minute

Combined rate :

Jerry's rate + Tom's rate 7.5 + 3 = 10.5 envelopes per minute

Time taken if they work together :

Total number of envelopes = 63 Total time taken = total number envelopes ÷ combined rate Total time taken = (63 ÷ 10.5) = 6 minutes

Therefore, the time taken of they both worked together will be 6 minutes

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NEED HELP ASAP

Simplify each expression. The simplified expression should have no exponents. (I will give you the highest amount of points)



Sorry there is a few questions. I missed a day at school and need to catch up

Answers

9)

- 12xy/7x⁴ × 21x⁵y²/4y = - 9x²y²

10)

- 3x⁵/x¹³ × 2x¹⁰y/15y² = -2x²/5y

11)

4xy¹¹/x⁷y⁶ × 6x⁸y/8x³ = 3y⁶/x

12)

y¹⁰/2x³ × 20x¹⁴/xy⁶ = 10x¹⁰y⁴

13)

5x⁻²/3x × 2y³/x¹⁰ = 10y³/3x¹³

14)

(5xy/8x⁻¹y²)² × 26y³/5x²y⁵ =

= 25x⁴/64y² × 26/5x²y²

= 65x²/32y⁴

what equation is equivalent to y=2x+3 ?

Answers

Answer:

x+x +1+2= y

Step-by-step explanation:

Chas builds a circular pen for his dog. The radius
of the pen is 9 feet. How much fencing did Chas
use for the pen?
A 28.26 feet
C 63.585 feet
B 56.52 feet
D 254.34 feet
Do you need to
the circumfere
or the area of
circle?
Skye chose A as the correct answer. How did she get that answer?

Answers

Answer:

when ever they say fencing it is perimeter i will send rhe rest later

she did 2×pie (3.14 according to the question )×radius (9)

Answer:

The correct answer is 56.52 feet

Step-by-step explanation:

(I know the question is supposed to be about how skye got the answer but if you wanted to know the real answer im here for you).

What is the diameter of a cylinder that has a volume of 237 cubic units and a height of 3 units? Show your calculations.

Answers

Answer:

The Diameter  of the cylinder is  10.29 units

Step-by-step explanation:

Given:

Volume  of the Cylinder =  237 cubic units

Height of the Cylinder =  3 units

To Find :

Diameter = ?

Solution:

The Volume of the cylinder = [tex]\pi r^2 h[/tex]

where

r is the radius

h is the height

On substituting the values

[tex]237 = \pi (r)^2 (3)[/tex]

[tex]\frac{237}{ 3 \pi} = r^2[/tex]

[tex]\frac{79}{\pi} = r^2[/tex]

[tex]25.146 = r^2[/tex]

r = 5.014 units

Noe the diameter is  =  2r = 2( 5.014) =  10.29 units

2) Solve the System of Equations using Substitution. (5 points) -3x+2y=12 x=2y-8

Answers

Answer:

x= -2 and y= 3

Step-by-step explanation:

since x = 2y -8, substitute this in the first equation

Thus, -3(2y-8) + 2y =12

-6y+24+2y=12

-6y+2y=12-24

-4y=-12

y=3

put the value of y in the second equation,

x=2y-8

x=2(3)-8

x=6-8

x=-2

So, x=-2. y=3

Answer:

  (x, y) = (-2, 3)

Step-by-step explanation:

You want the solution to the system of equations ...

-3x +2y = 12x = 2y -8

Substitution

Using the second equation, we can add 8 to get an expression for 2y:

  x +8 = 2y

Substituting this into the first equation gives ...

  -3x +(x +8) = 12

  -2x = 4 . . . . . . . . . simplify, subtract 8

  x = -2 . . . . . . . . divide by -2

  -2 +8 = 2y . . . . substitute for x in the rearranged equation 2

  y = 6/2 = 3 . . . . . . simplify, divide by 2

The solution is (x, y) = (-2, 3).

Round to the place value of underlined digit
64,999

Answers

65,000 .............................

4. Calculate the distance Kris walks in 8 days
if she walks 7/8mile each day.​

Answers

Answer:

I have two ideas on how to solve the question for anyone that befit you you choose I hope it helps

but I prefer the second one.

Kris walks a total of 7 miles over the course of 8 days by multiplying the daily walking distance of 7/8 mile by 8 days.

To calculate the total distance Kris walks in 8 days, where she walks 7/8 mile each day, we need to perform a multiplication of the daily distance by the number of days.

The calculation will be:

7/8 mile/day * 8 days = 7 miles.

This is because each 7/8 gets multiplied by 8, effectively cancelling out the denominator of 8, resulting in 7 whole miles.

Therefore, Kris walks a total of 7 miles over the course of 8 days.

Use an equation to find the value of k
so that the line that passes through the given points has the given slope.

(−2,k), (2,0); m=−1
k=

Answers

[tex]\boxed{k=4}[/tex]

Explanation:

We know that the slope of a line is given by:

[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ Where: \\ \\ (x_{1},y_{1}) \ and \ (x_{2},y_{2}) \ are \ points \ that \ lie \ on \ the \ line \\ \\ \\ Here: \\ \\ (x_{1},y_{1})=(-2,k) \\ \\ (x_{2},y_{2})=(2,0) \\ \\ m=-1 \\ \\ \\ -1=\frac{0-k}{2-(-2)} \\ \\ -1=\frac{-k}{4} \\ \\ -k=4(-1) \\ \\ \boxed{k=4}[/tex]

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Tahmar knows the formula for simple interest is l=prt where I represent the simple interest on an amount of money p for t years at r rate she transforms the equation to isloate p : p using this formula what is the amount of money p that will generate $20 at a 5% interest rate over 5 years

Answers

Answer:

  $80

Step-by-step explanation:

The formula for p is ...

  p = I/(rt)

Filling in the given values, we get ...

  p = $20/(0.05·5) = $80

The amount that will generate the desired interest is $80.

Factor completely x3 + 7x2 − 2x − 14.
(x − 7)(x2 − 2)
(x + 7)(x2 + 2)
(x + 7)(x2 − 2)
(x − 7)(x2 + 2)

Answers

Answer:

(x + 7) (x^2 - 2)

When you multiply these two factors together, you should get the original polynomial as your answer.

Hope this helps :)

The factor of the provided polynomial after the factorization process are similar to option C,  (x+7)(x²-2)

How to find the factor of polynomial?

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

Find these factors by taking out the common factors.

The given polynomial equation in the problem is,

x³+7x²-2x -14

The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor x², which can divide each term of the first two terms of equation (x³, 7x²). Thus,

x²(x+7)-2x-14

Take out the highest common factor -2 from the second two terms as,

x²(x+7)-2(x+7)

Now take out the common group (x+7) as,

(x+7)(x²-2)

Hence, the factor of the provided polynomial after the factorization process are similar to option C, which is

(x+7) (x²-2)

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PLEASE ANSWER

What is the slope of the graph?

Answers

(4-(-1)) / ( 3 - 0) = 5/3

Answer:

The slope is 5/3

Step-by-step explanation:

In order to find the slope from a graph, you have to use the method called "rise over run". You do this by looking at the point (0,-1). and going up on the y axis and counting until its on the SAME y axis for the next point which is at (3,4). If you count from -1 to 4, you'll get 5, which is the rise number. Next you have to solve the "run" number. Now that we already have our rise number start from (0,4) and count how many ticks/counts it takes to move the x axis to the point (3,4). It takes 3 counts. Since it's called rise/run. You put 5 at the top, and 3 at the bottom.

[tex]\frac{5}{3}[/tex]

Hope this helps :)

Which are perfect cubes?

8
21
27
125
126
1,000
1,331
1,332



HELP ASAP ):

Answers

Answer:

8 ; 27 ; 125 ; 1000 ; 1331

Step-by-step explanation:

8 = 2³

27 = 3³

125 = 5³

1000 = 10³

1331 = 11³

Answer:

8, 27, 125, 1000, 1331.

Step-by-step explanation:

2^3 = 8

3^3 = 27

5^3 = 125

10^3 = 1000

11^3 = 1331

I need someone to explain this to me. I don’t understand it at all. :(

Answers

I don’t understand this either ask the teacher

The reading on a car speedometer has 1.6% maximum error the speed limit on the road is 65 miles per hour


A) the speedometer reads 64 miles per hour is it possible that the cat is going over the speed limit



B) the speedometer reads 64 miles per hour is the car definitely going over the speed limit

Answers

Answer:

For A) it is possible that the speed  the cat is going over the speed limit

For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.

Step-by-step explanation:

Data provided in the question:

Maximum error  on a car speedometer = 1.6% = 0.016

Maximum Speed limit on the road = 65 miles per hour

Now,

The error will be ± 1.6%

Now,

When the speedometer reads 64 miles per hour

The possible speed of the car can be

64 miles per hour + Error

= 64 + [0.016 × 64]

= 64 + 1.024

= 65.024 miles per hour

or

The speed can be

64 miles per hour - Error

= 64 - [0.016 × 64]

= 64 - 1.024

= 62.976 miles per hour

Hence,

For A) it is possible that the speed  the cat is going over the speed limit

For B) The statement is false as if the error is negative, the speed of the car will be less than the speed limit.

Given that the Probability of a chance event is a number between zero and one that expresses the likelihood of the event occurring, choose all that are correct.

•0 indicates a certain event
•0.25 indicates an unlikely event
•0.75 indicates a likely event
•1 indicates an impossible event
•0.5 indicates equally likely to occur or not occur.
Please help if you can, thank you! ✨

Answers

Answer:

The correct statements are:

• Second statement: 0.25 indicates an unlikely event

• Third statement: 0.75 indicates a likely event

• Last statement: 0.5 indicates equally likely to occur or not occur.

Explanation:

Since the probability of a chance event is a number between 0 and 1 that expresses the likelihood of the event occurring, you can translate it into:

A zero probability (0) means that the event is impossible, it will never happen. For example, the probability that when you roll a 6-sided die (with numbers 1 to 6) you get an irrational number is 0, meaning that it will never occur.

A one probability (1) means that the event will occur with certainty. For instance, the changes to roll an even or odd number when you roll a 6-sided die is 100%

You migth split the likelihood in some notorius outcomes:

0: impossible (the event will never happen)Close to zero (about 0 - 0.3): unlikely (the chances are small)0.5: even (equal chances of happening and not happening)Close to 1 (about 0.7 - 1): likely (the changes are large)1: certain (it is 100% sure that the event will happen)

That means that:

first statement, 0 indicates a certain event, is incorrect.0.25 indicates an unlikely event (second statement is correct)0.75 indicates a likely event (third statement is correct)third statement is incorrect (1 does not indicate an impossible event, but a certain event)0.5 indicates equally likely to occur or not occur (fith statement is correct).

The correct statements are:

0.25 indicates an unlikely event0.75 indicates a likely event0.5 indicates equally likely to occur or not occur.

What are the correct statements?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

If probability is 0.5, there are equal chances that the event might occur or would not occur. If probability is less than 0,5, it is unlikely the even t would occur and if it is greater than 0.5, it is likely the event would occur.

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7. A person walks at a speed of 1.5 m/s for 35 seconds. How far has the person walked?

Answers

Answer:

52.5 meters

Step-by-step explanation:

1.5 times 35 would equal 52.5 meters.

Answer:

52.5 meters

Step-by-step explanation:

1.5 * 35

Is 65% greater than 5/8

Answers

Answer:

Yes it is. 65 as a decimal is .65, 5/8 is .625, so 65% is greater

Step-by-step explanation:

the answer to your question is yes

Help please (easy) *attachment below*

Answers

Answer:

x = 17.

Step-by-step explanation:

We know that the two angles are supplementary (equal 180) as they are found on a straight line. Therefore,

(5x - 18) + (4x + 45) = 180.

9x + 27 = 180.

9x = 153.

x = 17.

Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and observing the sample proportion of catfish. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.


The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.

We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river.

Answers

Answer: The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

Step-by-step explanation:

The standard deviation of the sampling distribution = [tex]\sqrt{\dfrac{p(1-p)}{n}}[/tex] , where p= population proportion and n = sample size.

Let p be the proportion of  fish in a river are catfish.

As per given , we have

p= 0.47

n= 25

The, the standard deviation of the sampling distribution will be [tex]\sqrt{\dfrac{0.47(1-0.47)}{25}}[/tex]

[tex]=\sqrt{0.009964}\approx0.0998[/tex]

The 10% condition : Sample sizes should be no more than 10% of the population.

But a river can have more than 250 fish [where 10% of 250 =25 (sample size)]

i.e. The 10% condition is met because it is very likely there are more than 250 fish in the river.

So the correct answer is "The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river."

Answer:

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 catfish in the river.

Step-by-step explanation:

I got it right on the quiz

Which facts could be applied to simplify this expression? Select three options.

(Negative 5 x minus 3 y) minus (negative x minus 3 z)
To subtract like terms, subtract the coefficients, not the variables.
Like terms are terms that contain the same variable, raised to the same power.
The simplified expression is Negative 6 x minus 3 y + 3 z.
The simplified expression is Negative 4 x minus 3 y + 3 z.
Negative (negative x) is equivalent to Negative x, so Negative 5 x minus x = negative 6 x.

Answers

Answer:

A, B, and D

Step-by-step explanation:

To subtract like terms, you're supposed to subtract the coefficients, so Option 1 is correct. The statement like terms are terms that contain the same variable, raised to the same power, is true, so Option 2 is correct. The simplified expression is -4 - 3y + 3z, so Option 3 is wrong and Option 4 is correct. Option 5, -(-x) = -x is wrong, so Option 5 is not correct. Therefore, the answers are Options 1, 2, and 4 (or A, B, and D).

Hope this helps! I got it right on Edgen.

Answer:

a b d

Step-by-step explanation:

Translate to an algebraic expression the sum of a and 8

Answers

Answer:

umm give me more examples

Step-by-step explanation:

Answer:

x=8+a

Step-by-step explanation:

sum of a and 8

x=a+8

when they say the sum of you add an equal sign

and when they said of a and 8 it means that whatever the sum is its equal to a+8

since the sum wasn't mentioned the sum will be known as a variable

lets put x as the variable

Tanya needs to earn another $100 to buy a new cell phone . She works 5 days this week. How much money will she have to earn each day in order to be able to buy the phone?​

Answers

100$/5 days
100 divided by 5 is equal to 20
She’ll need to earn at least 20$ per day.

Simplify the expression 3^-8 × 3^4.

Answers

Answer:

Step-by-step explanation:

3^-8 × 3^4

Following the indices rule

a^y × a^z = a^(y+z)

:- = 3^(-8+4)

= 3^-4

= 1/3⁴

= 1/81

in equilateral ABC what does y equal

Answers

I believe the answer is d

Answer:

y = 75°, and I'm pretty sure this sheet is incorrect

Step-by-step explanation:

The interior angles of a triangle always add up to 180, and in an equilateral triangle, all 3 angles are congruent. (180/3 = 60)

[tex]m\angle A= 60\textdegree= 6x[/tex]

Therefore, [tex]x=10\textdegree[/tex]

[tex]\triangle DAE[/tex] is an isosceles triangle, as [tex]\angle B[/tex] [tex]\cong[/tex] [tex]\angle C[/tex], the sides opposite to them are also congruent; [tex]\overline{\rm AE}\cong\overline{\rm AD}[/tex] and in turn, [tex]m\angle ADE \cong m\angle AED: m\angle ADE = m\angle AED = y[/tex]

If [tex]m\angle DAE = 3x = 30\textdegree[/tex], then [tex]y = (180-30)/2 =150 /2 = 75\textdegree[/tex]

You were looking at a map with a scale 1inch =40 miles if two towns are separated on the map by 6 inches what is the actual distance between them

Answers

Answer:

240 miles

Step-by-step explanation:

Final answer:

The actual distance between two towns, which are separated by 6 inches on a map with a scale of 1 inch to 40 miles, is 240 miles.

Explanation:

The subject of this question is Mathematics, specifically focusing on understanding how map scales work. In this case, the map scale is 1 inch equals 40 miles. This means, for every inch on the map, it represents 40 miles in actual distance.

To find out the real distance between two towns that are separated by 6 inches on the map, you multiply the map scale distance (40 miles) by the number of inches (6).

Which is, 6 inches x 40 miles = 240 miles.

So, the actual distance between the two towns is 240 miles.

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What conjecture can you make about the number of regions created by n unique diameters ?

Answers

Answer:

2n

Step-by-step explanation:

Look at the photo below for the details.

:)

Diameter of circle is known as greatest chord of the circle.

Number of regions created by n unique diameter is 2n.

Diameter of circle is two times of its radius.

By 1 diameter, two region is created in circle

By 2 diameter, 4 region is created in circle.

By 3 diameter , 6 region is created in circle.

Therefore, by n unique diameters, 2n regions is created in circle.

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Rosa enlarged an image on the copy machine. The actual measurement was 3.6 inches by 6 inches. The enlarged version is 6 inches by another measurement. What is the length of the new image? The computer store pays its employees $150 per day plus a commission of 15% of their sales. Teagan wants to make at least $450 today. Which equation will help Teagan determine how much he has to sell today? A.0.15x + 150 450 B.150 0.15x 450 C.450 0.15x 150 D.0.15x 450 15 Which leadership style focuses on limiting supervision and promoting individualistic decision making? What is 35 divided by 3.14 Distinguish between regional and contact metamorphism. a. Contact metamorphism occurs when chemically active fluids flow through a large region of preexisting rock; regional metamorphism occurs when large quantities of rock are subjected to high heat and pressure during mountain building. b. Regional metamorphism occurs when magma intrudes existing rock and heats it enough to cause metamorphic changes; contact metamorphism occurs when large quantities of rock are subjected to high heat and pressure during mountain building. c. Contact metamorphism occurs when magma intrudes existing rock and heats it enough to cause metamorphic changes; regional metamorphism occurs when large quantities of rock are subjected to high heat and pressure during mountain building. d. Regional metamorphism and contact metamorphism both occur when quantities of rock are subjected to high heat and pressure during mountain building, but regional metamorphism affects over a greater area. e. Regional metamorphism occurs when chemically active fluids flow through a large region of preexisting rock; contact metamorphism occurs when magma intrudes existing rock and heats it enough to cause metamorphic changes. Suppose Janet earns $700 per week working as a jewelry appraiser for Classy's Jewelry Store. She uses $10 to buy a box of aspirin at Pillmart Pharmacy. Pillmart Pharmacy pays Felix $450 per week to work the cash register. Felix uses $100 to purchase a necklace from Classy's Jewelry Store. Identify whether each of the following events in this scenario occurs in the factor market or the product market. a. Felix earns $450 per week working for Pillmart Pharmacy. b. Janet earns $875 per week working for Classy's Jewelry Store. c. Felix spends $325 to purchase necklace from Classy's Jewelry Store. What role does sports specialization play in theincreasing number of overuse injuries sustained byyoung athletes?Sports specialization is one of the effects of theincreaseSports specialization has not affected thenumber of overuse injuries.Sports specialization is a strategy used toreverse the increase.Sports specialization is a major cause of theincrease. The benefits of trade extend beyond simple exchange. For example, trade allows us to take advantage of _____, the reduction in costs that arise when goods are mass-produced. Why was Wegeners idea of ""continental displacement"" not widely accepted at first? What did it lack? Ammonia at 70 F with a quality of 50% and a total mass of 4.5 lbm is in a rigid tank with an outlet valve at the bottom. How much liquid mass can be removed through the valve, assuming the temperature stays constant a 8.0 * 104 kg spaceship is at rest in deep space. it's thrusters provide a force of 1200 kn. the spaceship fires its thrusters for 20 s, then coasts for 12 km. how long does it take the spaceship to coast this distance? A skilled nursingfacility chain is considering building a new facility on a piece of property that it currently owns. The property was purchased five years ago for $250,000 and could be sold now at a current market value of $100,000. When estimating the cash flows for the new facility, what amount should be included to recognize the opportunity cost of using the land for the proposed project?a. $0 (the land is a sunk cost)b. -$150,000c. $250,000d. $100,000e. -$100,000 A ball is moving across a level platform 1.6m above the floor. After rolling off the ball hits the floor 20 from the base of the platform. What is the velocity of the ball as it left the platform? Remember that the platform is level and that the ball is moving horizontally when it leaves the platform. An empty beaker weighs 32.4257 grams. A 10 ml pipet sample of an unknown liquid istransferred to the beaker. The beaker weighs 40.1825 grams when weighed with the liquid init. Calculate the density of the unknown liquid. John would like to save $1,500,000 by the time he retires in 30 years and believes he can earn an annual return of 8%. How much does he need to invest each year to achieve his goal? 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