A perfect square number can never have the digit ….. at the units place.

a :1

b :9

c :8
please tell me the answer as soon as possible ​

Answers

Answer 1

Answer:

the answer is the last option, c :8.


Related Questions

I need help ASAP thank you

Answers

Answer:

Volume: 1080

Surface area: 654

Step-by-step explanation:

Part A:

How to solve surface Area: 2×(9×15 + 9×8 + 15×8)

How to solve volume: 9x15x8

Part B:

Surface Area

Part C:

Volume

Hope this helps

Does anybody know why these are wrong?

Answers

Answer:

They aren't wrong. The program is.

Step-by-step explanation:

The numbers you entered are the answers that matches the correct answers. It is a program error.

Estimate the area of the circle equal three decimal 14 round to the nearest hundredth if necessary9

Answers

Answer:

49π m² or 153.94 m²

Step-by-step explanation:

Area of a circle: A = πr²

We are given r as 7, so simply plug it in

A = π(7)^2

A = 49π m²

What is the probability that 4 randomly selected people all have different birthdays? Ignore leap years, and round your final answer to four decimal places.



0.9729



0.9918



0.9891



0.9836

Answers

Answer:

(D)0.9836

Step-by-step explanation:

There are 365 days in a year.

Since each person has a different birthday:

We can choose a birthday for the first person 365 out of 365 days.We can choose a birthday for the second person 364 out of 365 days.We can choose a birthday for the third person 363 out of 365 days.We can choose a birthday for the fourth person 362 out of 365 days.

Therefore,

P(4 randomly selected people all have different birthdays)

[tex]=\dfrac{365}{365} \times \dfrac{364}{365} \times \dfrac{363}{365} \times \dfrac{362}{365}\\\\=0.9836[/tex]

The National Association of Realtors estimates that 23% of all homes purchased in 2004 were consideredinvestment properties. If a sample of 800 homes sold in 2004 is obtained what is the probability that between175 and 200 homes are going to be used as investment property

Answers

Answer:

0.9099

Step-by-step explanation:

1) =

=

200

800

= .25

2) Identify = . = .23

3) Find the z-value.

=

(1−)

=

.25−.23

.23(1−.23)

800

= 1.34

4) The probability is 0.9099.

Dialiting a triangle changes the angles and side length of the triangle true or false

Answers

Answer:

  False

Step-by-step explanation:

Dilation changes the side lengths, but not the angles. The given statement is FALSE.

Consider the next 1000 98% CIs for μ that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the corresponding value of μ?

Answers

Answer:

980 intervals.

Step-by-step explanation:

For each interval, there are only two possible outcomes. Either it captures the population mean, or it does not. One interval is independent of other intervals. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

98% confidence interval

Has a 98% probability of capturing the population mean, so [tex]p = 0.98[/tex]

1000 intervals

This means that [tex]n = 1000[/tex]

How many of these 1000 intervals do you expect to capture the corresponding value of μ?

[tex]E(X) = np = 1000*0.98 = 980[/tex]

980 intervals.

What is the measure of the third angle in the similar triangles below?

25
65
85
115

Answers

Answer:

65

Step-by-step explanation:

We know that,

The Sum of all angles of the triangle is 180°.

As given in the question,

Triangle PQR is similar to Triangle WXY

Therefore ,

Let the third angle be 'x'.

35° + 80° + x = 180°

115 + x = 180°

x = 180° - 115°

x = 65°.

Hence, 65° is the appropriate answer to the question.

I hope my answer helped!!

There are 11 students in our Science class left to give their presentations. Today we will have time for 6 presentations. How many different ways can the teacher choose the presenters?

Answers

Answer:

He has  2,772 ways

Step-by-step explanation:

Hello,

the teacher has to choose 6 students and there are 11 students in total.

When he chooses the first student he has 11 choices

if he has to choose 1 students he has 11 ways to do it

then for the second one he has 11-1=10 choices

if he has to choose 2 students he has (11*10)/2 ways to do it (we do not count the duplicate - for instance if he chooses Steve and then Nils or Nils and then Steve this is only one group (Steve, Nils) we do not care of the order)

Then for the third student he has 10-1=9 choices

if he has to choose 3 students he has (11*10*9)/(2*3) ways to do it (we do not take into account the order of ppl in the group)

and so on and so forth

...

if he has to choose 6 students he has (11*10*9*8*7*6)/(2*3*4*5)

so he has  2,772 ways

Answer:

C. 462 is correct. I did the test.

Step-by-step explanation:

The next 3 options are:

A: x=1 or x= -3

A: x= -1 or x=3

B: Since the quadratic equation has two real solutions, the graph of the quadratic equation intercepts the x axis at (-1,0) and (3,0)

please please help. Thank you so much.

Answers

Answer:

A: x= -1 or x=3

B: Since the quadratic equation has two real solutions, the graph of the quadratic equation intercepts the x axis at (-1,0) and (3,0)

Step-by-step explanation:

x^2 -2x -3 =0

Factor

(x-3 )(x+1) =0

Using the zero product property

x-3 =0   x+1 =0

x=3  x=-1

The zeros are

(3,0) (-1,0)

It intersects the x axis at (3,0) (-1,0)

A sequence is defined recursively using the formula . If the first term of the sequence is 120, what is f(5)? −15 −7.5 7.5 15

Answers

Answer:

C. 7.5

Step-by-step explanation:

I took the quiz on EDGE

If the first term of the sequence is 120, then f(5) will be 7.5

What is recursively sequence?In mathematics and theoretical computer science, a constant-recursive sequence is an infinite sequence of numbers satisfying a linear recurrence relation: each number in the sequence is equal to a fixed linear combination of one or more of its immediate predecessors. A recursive sequence is a sequence of numbers formed by using previous terms to find the next terms, such as the Fibonacci sequence.

How to solve this problem?

The steps are as follow:

From the given conditions We knew the sequence is defined by the formula f(n + 1) = - 0.5f(n) and we know f(1) = 120So f(1 + 1) = f(2) = - 0.5f(1) = - 0.5 * 120 = f(2) = - 60Then f(2+1) = f(3) = -0,5 f(2) = -0,5x-60 f(3)=30f(3 + 1) = f(4) = - 0.5f(3) = - 0.5 * 30 = f(4)= -15f(4 + 1) = f(5) = - 0.5f(4) = - 0.5x - 15 = f(5) = 7.5So, f(5) = 7.5

So if the first term of the sequence is 120, then f(5) will be 7.5

Learn more about recursively sequence here:

https://brainly.com/question/1275192

#SPJ2

100 pts A quality assurance check is 90% accurate for non-defective devices and 96% accurate for defective devices. Of the devices checked, 18% are defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.'

Answers

90% of 18% = .9*.18 = 0.162 = 16.2%

 

So 18 - 16.2 = 1.8 = 18% of them labeled as not defective  

are actually defective.

Please mark me brainliest!

Answer:

1.8%

Step-by-step explanation:

90% × 18% = 16.2%

18% - 16.2% = 1.8%

1.8% is the probability of an incorrect conclusion.

Preciso de ajudaa! Resolução também! - Considere as funções f e g tais que f(x)= x³+1 e g(x)= x-2 Determine: a)(fog)(0) b)(gof)(0) c)(fof)(1) d)(gog)(1)

Answers

Answer:

(fog)(x) means that we have the function f(x) evaluated in the function g(x), or f(g(x)).

So, if f(x) = x^3 + 1 and g(x) = x - 2.

we have:

a) (fog)(0) = f(g(0)) = (0 - 2)^3 + 1 = -8 + 1 = -7

b) (gof)(0) = g(f(0)) = (0^3 + 1) - 2 = -1

c)  (fof)(1) = f(f(1)) = (1^3 + 1)^3 + 1 = 2^3 + 1 = 8 + 1 = 9

d) (gog)(1) = g(g(1)) = (1 - 2) - 2 = -1 -2 = -3

Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios. 6 ounces of pistachios cost $7.50 StartFraction 7 dollars and 50 cents Over 6 ounces EndFraction = StartFraction dollar-sign question mark Over 1-ounce EndFraction Unit price = $0.80 per ounce What was his first error?
A. The price per ounce should have been $45.00 per ounce.
B. The price per ounce should have been $1.25 per ounce.
C. The final cost should have been $20.00.
D. The final cost should have been $16.80.

Answers

Answer:

The price per ounce should have been 1.25 per ounce

Step-by-step explanation:

The price per ounce should have been 1.25 per ounce

-google

(found it online)

XD - don't delete/report!

Brainleist!

Answer:

1.25

Step-by-step explanation:

All applicants for admission to graduate study in business are given a standardized test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What fraction of applicants would you expect to have scores of 600 or above

Answers

Answer:

The probability that applicants would you expect to have scores of 600 or above = 0.0401 or 4%

Step-by-step explanation:

Explanation:-

Let "x" Scores are normally distributed

Given  mean of the Population = 460

standard deviation of the population = 80

Let X = 600

[tex]Z = \frac{x -mean}{S.D} = \frac{600-460}{80} =1.75[/tex]

The probability that applicants would you expect to have scores of 600 or above

P( X≥600) = P( Z≥ 1.75)

                = 1- P( Z≤1.75)

               = 1- ( 0.5 + A(1.75)

              =  1- 0.5 - A(1.75)

              = 0.5 - 0.4599 (from Normal table)

              = 0.0401

The probability that applicants would you expect to have scores of 600 or above = 0.0401 or 4%

                         

Which of the following are equations for the line shown below? Check all that apply.


A. Y= x-2
B. Y-1=(x-3)
C. Y=x-2
D. Y+4=(x+2)

Answers

Answer: D. [tex]y+4=(x+2)[/tex]

Step-by-step explanation: Once you subtract [tex]4[/tex] from both sides, in order to solve for y (as the equation needs to be in the slope-intercept form, otherwise known as [tex]y=mx+b[/tex]), you end up with [tex]y=x-2[/tex], which is the right answer. It is the correct answer because the y-intecept shown in the equation matches what is on the graph, in addition to the fact that the slope is just [tex]x[/tex].

Consider the following sets of sample data: A: 431, 447, 306, 413, 315, 432, 312, 387, 295, 327, 323, 296, 441, 312 B: $1.35, $1.82, $1.82, $2.72, $1.07, $1.86, $2.71, $2.61, $1.13, $1.20, $1.41 Step 1 of 2 : For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.

Answers

Answer:

Dataset A

We have the following results:

[tex] \bar X_A = 359.786[/tex]

[tex]s_A= 60.904[/tex]

[tex] CV_A = \frac{60.904}{359.786}= 0.169 \approx 0.2[/tex]

Dataset B

We have the following results:

[tex] \bar X_B = 1.791[/tex]

[tex]s_B= 0.635[/tex]

[tex] CV_B = \frac{0.635}{1.791}= 0.355 \approx 0.4[/tex]

Step-by-step explanation:

For this case we have the following info given:

A: 431, 447, 306, 413, 315, 432, 312, 387, 295, 327, 323, 296, 441, 312

B: $1.35, $1.82, $1.82, $2.72, $1.07, $1.86, $2.71, $2.61, $1.13, $1.20, $1.41

We need to remember that the coeffcient of variation is given by this formula:

[tex] CV= \frac{s}{\bar X}[/tex]

Where the sample mean is given by:

[tex] \bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

And the sample deviation given by:

[tex]s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

Dataset A

We have the following results:

[tex] \bar X_A = 359.786[/tex]

[tex]s_A= 60.904[/tex]

[tex] CV_A = \frac{60.904}{359.786}= 0.169 \approx 0.2[/tex]

Dataset B

We have the following results:

[tex] \bar X_B = 1.791[/tex]

[tex]s_B= 0.635[/tex]

[tex] CV_B = \frac{0.635}{1.791}= 0.355 \approx 0.4[/tex]

write (n^3)^2 without exponets

Answers

Step-by-step explanation:

[tex]( {n}^{3} )^{2} = {n}^{6} = n \times n \times n \times n \times n \times n [/tex]

Answer:

n x n x n x n x n x n

Step-by-step explanation:

(n^3)^2 = n^6 = n x n x n x n x n x n

A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road

Answers

Complete question:

A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.

Answer:

The red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

Given

Police car is 50 feet side off the road

Red car is 130 feet up the road

Distance between them is decreasing at the rate of 75 feet per sec

Let x be how far the police is off the road.

Let y be how far the red car is up the road.  

Let h be the distance between the police and the red car.

This forms a right triangle so we can use the Pythagorean theorem, to solve for h

h² = x² + y²

h² = 50² + 130²

h² = 19400

h = √19400

h = 139.284 ft

Again;

Let dx/dt be how fast the police is traveling toward the road.

Let dy/dt  be how fast the red car is traveling along the road.

Let dh/dt be how fast the distance between the police and the car is decreasing.

Recall that, h² = x² + y² (now differentiate with respect to time, t)

2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)

divide through by 2

h(dh/dt) = x(dx/dt) + y(dy/dt)

since the police car is not, dx/dt = 0

and dy/dt is the how fast is the red car actually traveling along the road

139.284(75) = 50(0) + 130(dy/dt)

10446.3 = 0 + 130(dy/dt)

dy/dt = 10446.3 / 130

dy/dt = 80.356 ft/s

Therefore, the red car is traveling along the road at 80.356 ft/s

Help meeeee and thank u so much god bless u haha

Answers

Answer:

[See Below]

Step-by-step explanation:

For Point Slope Form:

Point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

'm' is the slope

(x1, y1) is a coordinate point.

Slope:

Slope is rise over run. [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-1,5) and (3,-3).

[tex]\frac{-3-5}{3-(-1)}=\frac{-8}{4}= -2[/tex]

The slope of the line is -2.

I will use (-1,5) as the point:

[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-5=-2(x+1)}[/tex]

For Slope Intercept:

Slope intercept is: [tex]y=mx+b[/tex]

'm' - Slope

'b' - y-intercept

We can use the point slope equation to convert it into slope intercept form:

[tex]y-5=-2(x+1)\\\\y-5=-2x-2\\\\y-5+5=-2x-2+5\\\\\boxed{y=-2x+3}[/tex]

For Standard Form:

Standard form is [tex]Ax+By=C[/tex]

Using out slope intercept form equation:

[tex]y=-2x+3\\\\y+2x=-2x+2x+3\\\\1y+2x=3\\\\\boxed{2x+1y=3}[/tex]

-12.48 -(-2.99)-5.62

Answers

Answer:

[tex]-15.11[/tex]

Step-by-step explanation:

[tex]-12.48-(-2.99)-5.62=\\-12.48+2.99-5.62=\\-9.49-5.62=\\-15.11[/tex]

Answer:

-15.11

Step-by-step explanation:

-12.48+2.99-5.62=

-9.49 - 5.62= - (9.49+5.62)=-15.11


As an estimation we are told £3 is €4.
Convert €48 to pounds.

Answers

Answer: £36

Step-by-step explanation:

4 Euros = £3

48 Euros (4x12) = £36 (3x12)

Answer:

£ 36.00

Step-by-step explanation:

£ 3 = € 4

Divide both sides by 4.

£ 3/4 = € 1

1 euro is 3/4 pound.

48 × 3/4 = 36

£ 36 = € 48

48 pounds is 36 euros.

What is the answer?

Answers

Answer:

C. 2.75P

Step-by-step explanation:

The original value was P.

It increased by 275%. That means it increased by 275% of P.

275% of P = 2.75P

The increase in value is 2.75P.

Now we add the increase to the original value of P to find today's value.

2.75P + P = 3.75P

Answer: C. 2.75P

Which of the following statements are equivalent to the statement "Every integer has an additive inverse" NOTE: (The additive inverse of a number x is the number that, when added to x, yields zero. Example: the additive inverse of 5 is -5, since 5+-5 = 0) Integers are{ ... -3, -2,-1,0, 1, 2, 3, ...} All integers have additive inverses. A. There exists a number x such that x is the additive inverse of all integers.B. All integers have additive inverses.C. If x is an integer, then x has an additive inverse.D. Given an integer x, there exists a y such that y is the additive inverse of x.E. If x has an additive inverse, then x is an integer.

Answers

Answer:

B, C and D

Step-by-step explanation:

Given:

Statement: "Every integer has an additive inverse"

To find: statement that is equivalent to the given statement

Solution:

For any integer x, if [tex]x+y=0[/tex] then y is the additive inverse of x.

Here, 0 is the additive identity.

Statements ''All integers have additive inverses '', '' If x is an integer, then x has an additive inverse'' and  ''Given an integer x, there exists a y such that y is the additive inverse of x'' are equivalent to the given statement "Every integer has an additive inverse".

The point (-7,1) when reflected across the origin maps onto

Answers

Answer:

(7,-1)

Step-by-step explanation:

common rule for reflections across the origin; im guessing you meant a reflection across the line y=x since it goes through the origin too.

for this make sure to add this transformation:

(x,y) --> (-x,-y)

Paolo is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and slice of costs $2.00.Let E be the amount in dollars that Paolo spends on salad and pizza. If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation _____.Now rearrange the equation you wrote above so that P is written in terms of E and S. The quantity of pizza he buys can be represented by the equation _____.Suppose Paolo has $40.00 to spend on salad and pizza; that is E = $40.00Complete the following table with values of S or P that make the equation true.To complete the first row, determine the number of pizza slices Paolo can purchase with $40.00, when the number of salad bowls he purchases is 0.Budget (Dollars) Salad (Bowls) Pizza (Slice)40.00 0 _____40.00 4 _____40.00 _____ 0

Answers

Answer:

E=5S+2PP=0.5(E-5S)

[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|[/tex]

Step-by-step explanation:

Cost of a bowl of salad = $5.00

Cost of a slice of pizza = $2.00

If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:

E=5S+2P

Next, we make P the subject of the equation above.

2P=E-5S

[tex]P=\dfrac{E-5S}{2} \\P=0.5(E-5S)[/tex]

Therefore, The quantity of pizza he buys can be represented by the equation:

P=0.5(E-5S)

When E=$40, we are required to complete the table below.

[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|[/tex]

When S=0, E=$40

From P=0.5(E-5S)

P=0.5(40-5(0))=20

When S=4, E=$40

P=0.5(40-5(4))

=0.5(40-20)

=0.5*20

=10

When P=0, E=$40

P=0.5(E-5S)

0=0.5(40-5S)

40-5S=0

5S=40

S=8

Therefore, the completed table is:

[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|[/tex]

Three hunters X, Y and Z aim at a bird on top of a tree. Their individual probabilities of killing the bird are 3/5, 2/3 and 5/6 respectively.
Find the probability that

i. Only X and Y kill the bird

ii. Only two of them kill the bird

iii. Only Z kill the bird

iv. Only one of them kill the bird

v. None of them kill the bird

vi. All of them kill the bird​

Answers

Answer:

i. Only X and Y kill the bird = 2/5

ii. Only two of them kill the bird= 0.11

iii. Only Z kill the bird= 5/6

iv. Only one of them kill the bird= 1/3

v. None of them kill the bird= 0

vi. All of them kill the bird​= 1

Step-by-step explanation:

Probability of x= 3/5

Probability of y = 2/3

Probability of z = 5/6

i. Only X and Y kill the bird

= 3/5 * 2/3

= 2/5

ii. Only two of them kill the bird

=Either x and y or x and z or y and z

= 2/5 or 1/2 or 5/9

= 0.111

iii. Only Z kill the bird

= 5/6

iv. Only one of them kill the bird

= 3/5 or 2/3 or 5/6

= 1/3

v. None of them kill the bird

0

vi. All of them kill the bird​

1

What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?

Answers

Answer:

Step-by-step explanation:

Answer:

its b on edge

Step-by-step explanation:

What is the solution for this inequality? 5x ≤ 45
A. x ≥ -9
B. x ≤ 9
C. x ≤ -9
D. x ≥ 9

Answers

Answer:

[tex]x\le \:9[/tex]

Step-by-step explanation:

[tex]5x\le 45[/tex]

[tex]\frac{5x}{5}\le \frac{45}{5}[/tex]

[tex]x\le \:9[/tex]

Answer:

B

Step-by-step explanation:

We divide the entire inequality by 5 to get rid of the coefficient of x. The ≤ stays the same so we get x ≤ 9.

The diameter of a sphere is 4 centimeters, which represents the volume of the sphere?

Answers

Answer:

10 2/3π or 33.51

Step-by-step explanation:

the volume of a sphere is 4/3πr^3

if the sphere has a diameter of 4 the radius is half the diameter so it would be 2. 2^3 = 8 now multiply 8 by 4/3 to get 10 2/3. now multiply by pi to get 10 2/3 π or 33.5103 which rounds to 33.51

Answer:

32π/3 cubic cm

Step-by-step explanation:

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Which change to The Metamorphosis would best provide more informationabout the family's thoughts and feelings?A. Tell the story from the point of view of Gregor's parents or GreteB. Allow Gregor the ability to speak to the family so they couldunderstand himC. Set the story in modern times so that Gregor could get some helpD. Have Gregor change back into a human at the end of the story A charged particle moves from point A to point B in an external electric field, and in the process its kinetic energy decreases fro, 87.6 J at A to 57.3 J at B. The electric potential at A is -48.0 V, and the electric potential at B is 18.0 V. What is the charge of the particle, including sign A developer is creating an application to track engines and their parts an individual part can be used in different types of engines. What data model should be used to track the data and to prevent orphan records? What is the nth term rule of the quadratic sequence below -4,1,12,29,52,81,116 infIdentify flexor digitorum profundus in the right upper limb and the ulnar vein that is immediately superficial to it on its medial surface. What is the correct order of veins that blood flows through to reach the heart from the right flexor digitorum profundus and the right ulnar vein What is vasoconstriction in biology? Write 260 the expression as an exponent with the base of: 8 A man withdrew some money from the bank. He gave 1/2 of it to his sons and 1/3 to his daughter. If he had $500.00 left, how much did he take from the bank? Write the equation of the function y=6/x translated 5 units to the left and 4 units up Which of the following was a condition of the treaty of NanjingA. Chinas government was forced to extend its role over British subjectsB. Foreign trading with China became greatly limitedC. China had to replace the opium that was destroyed during the warD. China was forced to give up the island of Hong Kong to great Britain if z (3,-1) is the midpoint of line segment of coordinate x (5,2) and y (a,b) then find the value of a and b. I need it fast if u tell fast I'll mark ur Brainliest. It's a deal To live a good life and be the sort of people we ought to be, we need to develop a virtuous character that Eastern University had the following transactions at the beginning of its academic year: Student tuition and fees were billed in the amount of $7,150,000. Of that amount $4,620,000 was collected in cash. Pell Grants in the amount of $2,012,000 were received by the university. The Pell Grants were applied to student accounts. Student scholarships, for which no services were required, amounted to $570,000. These were applied to student tuition bills at the beginning of each semester. Required: Prepare journal entries to record the above transactions assuming: a. Eastern University is a public university. b. Eastern University is a private university. In the early 1600s, what role didJohn Smith play in the Jamestownsettlement in Virginia.A. He was the settlement's blacksmith.B. He represented the settlement in England.C. He was the settlement's leader. If a translation maps point (3, 2) to (5.3); or T:(3, 2) - (5, 3), indicate the image for (2, 4). Air is used as the working fluid in a simple ideal Brayton cycle that has a pressure ratio of 12, a compressor inlet temperature of 300 K, and a turbine inlet temperature of 1000 K. The properties of air at room temperature are cp = 1.005 kJ/kgK and k = 1.4. Determine the required mass flow rate of air for a net power output of 70 MW, assuming both the compressor and the turbine have an isentropic efficiency of: a. 100 percent b. 85 percent. An economy consists of three workers: Kevin, Rajiv, and Yakov. Each works 10 hours a day and can produce two services: mowing lawns and washing cars. In an hour, Kevin can either mow 2 lawns or wash 1 car; Rajiv can either mow 1 lawn or wash 1 car; and Yakov can either mow 1 lawn or wash 2 cars.For each of the scenarios listed below, determine how many lawns will be mowed and how many cars will be washed per day and enter these values into the corresponding row?a. All three spend all their time mowing lawns. (A) b. All three spend all their time washing cars. (B) c. All three spend half their time on each activity. (C) d. Kevin spends half his time on each activity, while Rajiv only washes cars and Yakov only mows lawns. (D) Can someone explain to me? i don't understand it On January 1, 2018, the Prepaid Insurance account of Dogwood, Inc. had a beginning balance of $ 1,800. Three months of insurance premiums remain in this beginning balance. On February 21, 2018, the company paid an annual insurance premium in the amount of $ 4,100 for the period beginning March 1. On February 28, 2018, the balance in Prepaid Insurance is $ 1,200.A. TrueB. False 50 C of negative charge is placed on an insulating pith ball and lowered into a insulating plastic container, suspended from an insulating thread attached to the lid of the box. After the box is entirely sealed, the electric flux through the sides of the box is:_______ a. 5. 65 Times 10^6 N m^2/C. b. 5. 65 Times 10^5 N m^5/C. c. -5. 65 Times 10^6 N m^2/C. d. 50 x 10^-6 N m^2/C. e. -5.65 Times 10^5 N m^2/C. f. Can't tell unless the dimensions of the box are given.