What is reasonable estimate for the problem

What Is Reasonable Estimate For The Problem

Answers

Answer 1

Answer:

-2

Step-by-step explanation:

this is i ready lol but basically the actual answer is -1.5 but if you round that you get -2

Answer 2

Answer:

-2

Step-by-step explanation:

3 3/4 times -2/5 = -1.5, which is closer to -2.


Related Questions

If I have 10
cups of cake batter to split amongst 18 cupcakes. How many cups of bafter will use for each cupcake?

Answers

⁵/₉ of bafter a cup would go per cupcake .

To determine how many cups of cake batter to use for each of the 18 cupcakes when you have 10 cups of batter, you need to divide the total amount of batter by the number of cupcakes.

Divide the total cups of batter (10 cups) by the number of cupcakes (18):

= 10 ÷ 18

≈ 10 / 18

Divide both sides by 2 to simplify and get:

= 5 / 9

A coffee business sells a pound of coffee for $ 9.75. Monthly expenses are $ 4,500 plus $ 4.25 for every pound of coffee sold. a. Write an IT function for total monthly income as a function of the number of pounds of coffee sold. b. Write a GT function for total monthly expenses as a function of the number of pounds of coffee sold. c. Write a function G for monthly profitability (profit) as a function of the number of pounds of coffee sold.

Answers

Answer:

a. IT = 9.75 * X

b. GT = 4500 + 4.25 * X

c. G = 9.75 * X - 4500 - 4.25 * X

Step-by-step explanation:

With the data of the statement we can get a function. Let X be the number of pounds sold.

to. Monthly income

IT = 9.75 * X

b. Monthly expenses

GT = 4500 + 4.25 * X

c. Monthly Earnings (Monthly Income - Monthly Expenses)

G = 9.75 * X - (4500 + 4.25 * X)

G = 9.75 * X - 4500 - 4.25 * X

a. The IT function should be = [tex]9.75 \times X[/tex]

b. The GT function is = [tex]4500 + 4.25 \times X[/tex]

c. The function G is = [tex]9.75 \times X - 4500 - 4.25 \times X[/tex]

Calculation of the functions:

here we assume X be the number of pounds sold.

Since A coffee business should sell the coffee for $ 9.75. Monthly expenses are $ 4,500 along with $ 4.25 for each pound of coffee.

So,

a. The IT function is [tex]9.75 \times X[/tex]

b.  The GT function should be [tex]4500 + 4.25 \times X[/tex]

c. The function G should be [tex]G = 9.75 \times X - (4500 + 4.25 \times X)[/tex]

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At 5 feet tall, Emily casts a shadow that is 8 feet long. She is standing near a tree that casts a shadow that is 28 feet long. How tall is the tree?

Answers

Answer:

The tree is 17.5 ft tall

Step-by-step explanation:

We can use proportions to solve this.

Notice that Emily (5 feet tall) and her shadow (8 feet long) constitute the two legs of a right angle triangle (see attached image).

The nearby tree  (unknown height H), will also cast a shadow (28 ft long) with the same inclination as Emily does due to the unique position of the sun relative to them.

Then we can use the proportion associated with the sides of similar triangles:

[tex]\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft}[/tex]

Then, we can solve for H in the equation:

[tex]\frac{5\,ft}{8\,ft} =\frac{H}{28\,ft} \\H=\frac{28*5}{8} \,ft\\H=17.5 \.ft[/tex]

Consider the square spinner shown and assume all sections are the same size.
17
3
11
N
An experiment consists of spinning the spinner one time.
a. How many possible outcomes are there in the experiment?
b. What are the possible outcomes of the experiment?
c. List the sample space for the experiment.
d. Calculate P(z).

Answers

Answer:

a. 4 possible outcomes.

b. Possible outcomes - the spinner will fall on a 17, 3, 11 or N.

c. {17, 3, 11, N}

d. P(z) = 1/4.

Step-by-step explanation:

The probability of a specific value on one spin  P(z) = 1/4.

a) There are four possible outcomes in the experiment.

b) The possible outcomes are 17, 3, 11, and N.

c) The sample space for the experiment is  {17, 2, 11, N}.

d) P(z) = 1/4.

What is sample space?

It is the total number of possible outcomes from a given set.

We have,

The square spinner has the following sections.

17, 3, 11, N.

Now,

a)

The number of possible outcomes.

= 17, 3, 11, N

= 4

b)

The possible outcomes are:

= 17, 3, 11, and N

c)

The sample space.

= {17, 3, 11, N}

d)

The probability of getting one specific outcome.

P(z) = 1/4

Thus,

The answers for a), b), c), and d) are given above.

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Solve: 3m - 2.4 = 6.6

Answers

Answer:

m=3

Step-by-step explanation:

i hope today brings you joy and happiness :)))

Answer:

The answer is 3

Step-by-step explanation:

This is how you solve it

3m-2.4=6.6

   +2.4 .  +2.4

3m=9

/3 .  /3

m=3

Solve the equation 3x = 2x + 5.

What can you do to isolate the variable on one side of the equation?


What is the solution?

Answers

Okay so first you would subtract 2x from both sides so it would isolate the variable. this would leave you with x=5 giving you your answer.

Answer:

x = 5

Step-by-step explanation:

To solve this equation for x, subtract 2x from both sides, obtaining:

x = 5.

Sarina has two pieces of square paper. Each piece of paper has a side length of 7 inches. Both pieces of paper are cut along a diagonal, and the resulting triangles are arranged to form a new square, as shown below. What is the area of the new square?

Answers

Answer: 49

Step-by-step explanation:

If iTs half of each square its the same

Keith's Catering charges a $100 setup fee and $25 per
person served. Zoey's Catering uses the table below to
calculate catering charges.
Number of
People Served
Total Cost
(y)
10
$325
20
$525
30
$725

Which Caterer charges the most per person, and how much more?

Answers

Xhdidhshsjjskskosodkbx

Answer:

Keith charges more per person

Step-by-step explanation:

10 = 325

20 = 525

30 = 725

Zoey's price goes up 200 for every 10 people making her setup fee 125 (325-200=125). 200 per 10 people is 20 per person

How is multiplying exponents (x² ⋅ x⁴) different from raising a power to a power ((x²)⁴)?

Answers

Answer:

When you are "multiplying" exponents, you're really just adding them together. So in the case of (x² ⋅ x⁴), you add the exponents:

2 + 4 = 6

[tex]x^{6}[/tex] would be the answer.

On the other hand, raising a power to a power, is actually multiplying them. So it would just be:

2 ⋅ 4 = 8

[tex]x^{8}[/tex] would be the answer.

The height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 10. What does t represent?

Answers

Answer:

t represents the number of seconds after the rocket is released

Answer:

A

Step-by-step explanation:

answer is the number of seconds after the rocket is released

which one of these numbers is not like the others?
21,15,6,16,27

Answers

Answer:

16

Step-by-step explanation:

It's hard to tell what the what the problem means by "not like the others", but here's a guess.

16 is a perfect square. 16 = 4^2

None of the other numbers are perfect squares.

Also, 16 is not divisible by 3. All other numbers are divisible by 3.


Haley scored 3, 13, 15, 16, and 19 on five homework assignments. Her scores were based on a perfect score of 20. Which measure would be the most accurate to use to measure Haley's overall grade?

A) mean
B) median
C) mode
D) range

Answers

a) mean, mean is the average of all the number. To get the the mean/overall you add the the number and divide by the amount of numbers.

Answer:

median

Step-by-step explanation:

what is a diagonal matrix

Answers

Answer:

, a diagonal matrix is a matrix in which the entries outside the main diagonal are all zero

Step-by-step explanation:

Find the rate of change of total​ revenue, cost, and profit with respect to time. Assume that​ R(x) and​ C(x) are in dollars.
R(x)= 2x, C(x)= 0.01x² + 0.4x + 30, when x=25 and dx/dt=7 units per day.
1. Find the rate of change of total revenue per day.
2. Find the rate of change of total cost per day.
3. Find the rate of change of total profit per day.

Answers

Answer:

1.- dR/dt   = 14 $/day

2.- dC/dt =  4.55 $/day

3.- dP/dt = 7,7 $/day

Step-by-step explanation:

By definition Profit is equal to Revenue minus total costs then.

We have

R(x) = 2*x

C(x) = 0,01*x²  + 0,4*x  + 30

Then Profit  P(x)  =  2*x  -  0,01*x²  - 0,4*x  - 30

P(x) = - 0.01*x²  +  1.6*x  - 30

1.- Find rate of change total revenue per day, when

x = 25  and dx/dt = 7 u/day

R(x) = 2*x

dR/dt   = 2*dx/dt      ⇒   dR/dt   = 2* 7

dR/dt   = 14 $/day

2.-

C(x) = 0,01*x²  + 0,4*x  + 30

dC/dt = 0,01*x* dx/dt  + 0,4*dx/dt

dC/dt = 0,01*25*7  +  0.4*7

dC/dt = 1.75 + 2.8

dC/dt =  4.55 $/day

3.-

P(x) = - 0.01*x²  +  1.6*x  - 30

dP/dt = - 2*0,01*x*dx/dt  + 1.6*dx/dt

dP/dt = - 2*0,01*25*7  + 1.6*7

dP/dt = - 3,5 + 11.2

dP/dt = 7,7 $/day

   

Answer:

The rate of change of total Revenue is $14 per day.The rate of change of total Cost is $4.55 per day.The rate of change of total Profit is $7.7 per day.

Step-by-step explanation:

Given information

[tex]R(x)=2x\\C(x)=0.01x^2+0.4x+30[/tex]

When,

[tex]x=25\\dx/dt=7[/tex] units per day

As we know that

Profit = Revenue - Cost

Then, the Profit,

[tex]P(x)=2x-0.01x^2+0.4x-30\\P(x)=-0.01x^2+1.6x-30[/tex]

Now, The total Revenue per day

[tex]R(x)=2*x[/tex]

By differentiating both side with respect to [tex]t[/tex]

[tex]\\dR/dt=2*dx/dt\\dR/dt=2*7\\dR/dt=14[/tex]

Hence the rate of change of total revenue is $14 per day.

Similarly,

The total cost per day

[tex]C(x)=0.01x^2+0.4x+30[/tex]

By differentiating both side with respect to [tex]t[/tex]

[tex]dC/dT=0.01*x*dx/dt+0.4*dx/dt\\dC/dt=0.01*25*7+0.4*7\\dC/dt=1.75+2.8\\dC/dt=4.55[/tex]

Hence the rate of change of total cost is $4.55 per day

And the total Profit per day

[tex]P(x)=-0.01x^2+1.6x-30\\[/tex]

By differentiating both side with respect to [tex]t[/tex]

[tex]dP/dt=2*(-0.01)*x*dx/dt+1.6*dx/dt\\dP/dt=-2*(-001)*25*7+1.6*7\\dP/dt=-3.5+11.2\\dP/dt=7.7[/tex]

Hence the rate of change of total Profit is $7.7 per day

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A car dealer raised the price of car form $10.500 to 11.000. what was the percent of change.

Answers

Answer:

4.5% (1dp)

Step-by-step explanation:

10500/11000x100=95.4545454545%

100-95.4545454545= 4.5454545455%

=4.5% (1dp)

I hope this helps!

Answer:

4.762%

Step-by-step explanation:

Change:

11,000 - 10,500 = 500

% change:

500/10500 × 100

100/21

4.761904762%

The cylinder above has a radius of 5 inches and a height of 12 inches. What is the surface of the cylinder above?

Answers

Answer:

I think its b

Step-by-step explanation:

A=2πrh+2πr2=2·π·5·12+2·π·52≈534

2/3 - 1/2 =? please answer quick

Answers

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} - \frac{1}{2} =\frac{2x2}{3x3} -\frac{1x3}{2x3} =\frac{4}{6} -\frac{3}{6} =\frac{4-3}{6} =\frac{1}{6}[/tex]

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}-\frac{1}{2}=\\ \\=\frac{2*2-1*3}{6}\\ \\=\frac{4-3}{6}\\ \\=\frac{1}{6}[/tex]

The mean clotting time of blood is 7.45 seconds with a standard deviation of 3.6 seconds. What is the probability that an​ individual's clotting time will be less than 6 seconds or greater than 11 ​seconds? Assume a normal distribution. The probability is nothing.

Answers

Final answer:

The probability that an individual's clotting time will be less than 6 seconds or greater than 11 seconds, under a normal distribution with a mean of 7.45 and a standard deviation of 3.6, is approximately 50.9%.

Explanation:

The subject in question pertains to the calculation of probabilities using the Normal Distribution. Given that the mean clotting time is 7.45 seconds with a standard deviation of 3.6 seconds, we need to find the probability that the clotting time will be either less than 6 seconds or more than 11 seconds.

First, we convert the clotting times to z-scores (the number of standard deviations away from the mean). The z-score for 6 seconds is (6-7.45)/3.6 = -0.40, and the z-score for 11 seconds is (11-7.45)/3.6 = 0.98. We can look these z-scores up in a Z-table to find the corresponding probabilities.

From the Z-table, we find that the probability of a z-score less than -0.40 is 0.345. The probability of a z-score less than 0.98 is about 0.836. Because we're asked to calculate the probability that the clotting time is either less than 6 seconds or greater than 11 seconds, we need to calculate the probabilities at the tails of the distribution. So we subtract the probability for 0.98 (0.836) from 1 to find the probability that clotting time is greater than 11 seconds, which is 0.164.

The probability of the clotting time being either less than 6 seconds or more than 11 seconds would be the sum of the two probabilities: 0.345 + 0.164 = 0.509 or 50.9%.

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The probability that an individual's blood clotting time is less than 6 seconds or greater than 11 seconds is approximately 0.5057, calculated using the Z-scores and the standard normal distribution.

The mean clotting time of blood is 7.45 seconds, with a standard deviation of 3.6 seconds. To find the probability that an individual's clotting time will be less than 6 seconds or greater than 11 seconds under normal distribution, we will use the Z-score formula:

Z = (X - mean) / standard deviation

For X = 6 seconds:For X = 11 seconds:

Using Z-tables or standard normal distribution calculators:

P(Z < -0.40) ≈ 0.3446P(Z > 0.99) ≈ 0.1611

Therefore, the total probability is:

P(X < 6 or X > 11) = P(Z < -0.40) + P(Z > 0.99) ≈ 0.3446 + 0.1611 = 0.5057

At a football game 100 students were surveyed about their food and drink purchases. Out of the 100 students surveyed, 70 bought a drink, 60 bought a food item, and 50 bought both a drink and a food item.


A student is chosen at random from the 70 students that bought a drink. What is the probability that the student also bought a food item?

Answers

Answer:

The probability is 5/7

Step-by-step explanation:

Please check the attached files for more explanation

A baker uses a coffee mug with a diameter of 8 cm8\text{ cm}8 cm8, start text, space, c, m, end text to cut out circular cookies from a big sheet of cookie dough. What is the area of each cookie?

Answers

Answer:

16 pi cm^2 or 50.27 cm^2

Step-by-step explanation:

In this question, we are told that by using a particular mug of coffee with a certain diameter, a baker was able to circular cookies from a big sheet of cookie dough so we need to know the area of each of the cookie.

Now this is pretty much straightforward. since we do know the diameter of the mug, finding the area of the cookie is simple!

How do we do this?

what to do simply is to apply the formula of a circle to find the area of a circle of diameter 8cm

mathematically, the area of a circle A = pi * r^2

Since we are given D in the question, we know quite well that we need r from the equation. Mathematically, d = 2r or more specifically r = d/2 = 8/2 = 4cm

now let’s find the area of a circle of radius 4cm

A = pi * 4^2 = 16 pi cm^2 or simply 50.27 cm^2

Find the discriminant
9x^2+14x+13=8x^2

Answers

Answer:

The discrimant of this equation is 144.

Step-by-step explanation:

First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :

9x² + 14x + 13 = 8x²

9x² + 14x + 13 - 8x² = 8x² - 8x²

x² + 14x + 13 = 0

It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :

x² + 14x + 13 = 0

D = b² - 4ac

= 14² - 4(1)(13)

= 196 - 52

= 144

Final answer:

The discriminant of the quadratic equation 9x²+14x+13=8x² is found by simplifying to x²+14x+13=0 and using the formula b² - 4ac, yielding a result of 144.

Explanation:

The student's question involves finding the discriminant of the quadratic equation 9x² + 14x + 13 = 8x². We simplify this equation by subtracting 8x² from both sides, resulting in x² + 14x + 13 = 0.

The discriminant of a quadratic equation ax² + bx + c = 0 is given by b² - 4ac. For this equation, a = 1, b = 14, and c = 13. Substituting these into the discriminant formula gives (14)² - 4(1)(13) = 196 - 52 = 144.

Since the discriminant is positive, there are two distinct real roots to the equation. This could be relevant if we were to graph the equation, indicating where it crosses the x-axis, or if further solving for x was required.

PLEASE HELP ME !!!
the expression 49x² - 36 is equivalent to :
(A) (7x - 6 )²
(B) (7x - 6 ) ( 7x + 6)
(C) (24.5x - 18 )²
(D) (24.5x - 18) (24.5x + 18 )

Answers

Answer:

(B) (7x - 6 ) ( 7x + 6)

Step-by-step explanation:

49x^2 - 36

This is the difference of squares

(7x)^2 - 6^2

We can factor this as

(a^2 -b^2) =(a-b) (a+b)

(7x)^2 - 6^2 = (7x-6) (7x+6)

Answer:


(B) (7x-6)(7x+6)

The Martins plan for a garden is shown in the diagram. They need to figure out how much they will spend on topsoil for the garden. What is the area of the garden? The area of the garden is ft2. If topsoil costs $0.15 per square foot, how much will they spend to cover the area with topsoil? They will spend $.

Answers

answer 1 is : 144

Answer2:21.60

Answer:

144 and 21.60

Step-by-step explanation:

Finding the Area of a Regular Polygon
The apothem of a regular hexagon measures
8 cm.
Which are true of the regular hexagon? Check all that
apply.
The perimeter of the hexagon is 48 cm.
The measure of the angle formed by the radius and
the apothem is 30°.
The side length of the hexagon is about 4.6 cm.
In a regular hexagon, the radius and side length are
equal in length.
The area of the hexagon is about 221.7 square cm.
8 cm
Intro
Done

Answers

Answer:

B, D and E.

just trust me

The angle made by the apothem and the radius would be; 30 degrees. Then the correct option is B.

What is a polygon?

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The apothem of a regular hexagon = 8 cm.

Then the side length of the hexagon will be

[tex]\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm[/tex]

The perimeter of the hexagon;

Perimeter = 6 × 9.24 = 55.43 cm

The area of the hexagon;

Area = 0.5 × 8 × 9.24 = 36.95 cm².

The angle made by the apothem and the radius = 30 degrees.

More about the polygon link is given below.

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14 is what percent of 25?

Answers

Answer:

56%

Step-by-step explanation:

U reported me and the answer got deleted so

14:25*100 =

( 14*100):25 =

1400:25 = 56

here's your step by step explanation

and pls mark me brainliest

bye

Answer:

56%

Step-by-step explanation:

Is means equals and of means multiply.  Let P be the percent

14 = P * 25

Divide each side by 25

14/25 = 25P/25

.56 = P

Change to percent form

56% =P

a large data sample of heights of US women is normally distributed with a mean height of 64.2 inches and a standard deviation of 2.6 inches. What is the approximate probability that a randomly selected person in this sample is shorter than 61.6 inches? (I need this by Tuesday the 22nd)

Answers

Final answer:

To find the probability that a randomly selected person is shorter than 61.6 inches, calculate the z-score and use a standard normal distribution table or calculator to find the corresponding probability.

Explanation:

To find the approximate probability that a randomly selected person in the sample is shorter than 61.6 inches, we can use the standard normal distribution.

First, we need to calculate the z-score for 61.6 inches using the formula:
z = (x - mean) / standard deviation

z = (61.6 - 64.2) / 2.6 = -1.0

We can then use a standard normal distribution table or a calculator to find the area to the left of z = -1.0, which represents the probability that a randomly selected person is shorter than 61.6 inches. The probability is approximately 0.1587, or 15.87%.

Kyle drove his car 250 miles on 20 gallons of gas. How many miles per gallon did Kyle average?

Answers

Answer:

Step-by-step explanation:

250 divided by 20= 12.5

So 12.5 miles per gallon.

12.5. The answer ask for how many miles in 1 gallon. So, you do 250 divided by 20. 250 divided by 20 is 12.5, so he will drive 12.5 or 12 1/2 miles using each gallon of gas.

ANSWER : 12.5 or 12 1/2

Name 5 decimals whose sum is between 2 and 3.

Answers

Answer:

BET! 0.3 + 0.6 + 0.9 + 0.2 + 0.4 = 2.4

I hope this is what you mean I was kind of confused

Step-by-step explanation:

Pablo is training for a marathon. He ran 5 4/8 miles on Friday, 6 5/8 miles on Saturday, and 7 4/8 miles on Sunday. How many miles did he run on all three days?

Answers

Answer:

19 5/8 miles

Step-by-step explanation:

First you convert all fractions into improper fraction which are

5 4/8 = 44/8

7 4/8 = 60/8

6 5/8 = 53/8

Then add just the numerators together as the denominator stays the same which looks like 157/8

Then see how many times 157 goes into 8 which is 19 with 5 left over

So you rewrite the answer as 19 5/8 miles

Two parallel lines are crossed by a transversal.



What is the value of d?


d = 55

d = 75

d = 125

d = 155

Answers

Answer:

Incomplete question check attachment for diagram

Step-by-step explanation:

Two parallel lines, cross by a transversal

The angle between one of the line and the transfer is 125° and this angle is opposite to angle d, so it is vertical opposite angle

Vertically Opposite Angles are the angles opposite each other when two lines cross, so it was the transversal line that cross the parallel lines

and we know that, vertical opposite angle is equal.

Then, d = 125°

Answer:

(C) d=125

Step-by-step explanation:

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If the store sells fencing in 4-yard packages, how many packages do Troy and his mom need? What does a a isolate variable mean? Use the passage below to answer all parts of the question that follows.The generous heart of the Emperor is temperamentally inclined towards the well-being of all classes of people friend and foe; relatives and strangers are all equal in his farsighted view. This equal consideration for all is the best method for the physicians of bodies, and should be highly appropriate for the physician of the soul as well. Why should this beneficence then not be the distinctive feature of His Excellency, the chief physician of the chronic ailments of the human soul? He has noticed the increasing conflict between the different sects of Muslims on the one hand and the Jews and the Hindus on the otherthe sagacious mind of His Excellency then decided to arrange the translations of the sacred books of all the communities in the empire, so that with the blessing of the most revered and perfect soul of the age, they both refrain from indulging in hostility and disputes.Abul Fazl ibn Mubarak, grand vizier to the Mughal emperor Akbar, introduction to a Persian translation of the Mahabharata, a Hindu sacred text, sixteenth century Indiaa) Describe ONE way in which Akbars actions in sponsoring the translations discussed in the passage are similar to actions taken by rulers of other empires during the period 14501750.b) Explain ONE reason that Abul Fazls introduction may NOT be a completely objective and historically accurate source for the motivations behind Akbars policies.c) Identify ONE other outcome of the interactions between Islam and South Asian religions in the period 14501750. What were Victorian christmases like ? Which statement identifies a characteristic of the parliamentary system of government?Group of answer choicesA. Power is shared between the national and local governments.B. The nations chief executive is a member of the national legislature.C. The nations chief executive is chosen by voters in a national election.D. The executive and legislative branches of the national government serve to check each other.need this answer ASAP pleaseeeee What is the answer to 3x - 18? The current student population of the Brentwood student center is 2000 the enrollment at the center increases at a rate of 4% each year to the nearest whole number what will the student population be close to in three years The manufacturing overhead budget at Foshay Corporation is based on budgeted direct labor-hours. The direct labor budget indicates that 7,200 direct labor-hours will be required in May. The variable overhead rate is $8.90 per direct labor-hour. The company's budgeted fixed manufacturing overhead is $134,640 per month, which includes depreciation of $24,880. All other fixed manufacturing overhead costs represent current cash flows. The company recomputes its predetermined overhead rate every month. The predetermined overhead rate for May should be: Which of the following systems has potential energy only?Select one:a car screeching to a haltan airplane flying abovea stone falling off a cliffa bird sitting on a branch The intensity I of light varies inversely as the square of the distance D from the source. If the intensity of illumination on a screen 56 ft from a light is 2.7 foot-candles, find the intensity on a screen 70 ft from the light. As the car moves from point A , to point B, and finally to point C, the total energy of the carA. decreases from point A to point B, then increases from point B to point CB. increases from point A to point B, then decreases from point B to point CC. stays the same, but is converted between potential and kinetic energyD. is lost between points B and C A psychology professor wants to know whether verbal ability is related to memory quality in current first-year students at her small college. Participants in the study (first-year students at her college) complete an online memory task. The students are first shown a list of 60 words. Next they are shown a list that includes five new words that are conceptually similar to words on the original list. Then they are asked to identify the words on the second list that appeared on the original list. She uses the percentage of new but conceptually similar words that were mistakenly thought to be on the original list as her measure of memory quality. She also asks the students to report several characteristics such as their age, gender, and verbal SAT score. If a sample gas is collected over water. The atmospheric pressure is 778 mm and the temperature is 30C. If the vapor pressure of water at 30 C is 31.8 mm, what is the pressure of the gas? If a calcium carbonate supplement is ordered at a dose of 600 mg daily, and the available form is 400 mg tablets, how many tablets do you give? Write the equation of a line that is parallel to y=9 and that passes through the point (3,-8). Please help this is due soon