i am number between 47 and 53 no two of my factors are the same number what number am i

Answers

Answer 1

A number between 47 and 53 such that the prime factors are not repeated is:

3*17 = 51

How to find the number?

Remember that any number can be written as a product of prime factors.

If we want to find a number between 47 and 53, such that there are no repeated factors, we just need to take different primes and multiply them.

For example:

2*3*5*7 = 210

There are no repeated factors, but the number is not in the desired range.

2*5*7 = 70

Still not in the range.

You can try some times until you get for example:

3*17 = 51

This a number in the desired range, such that their prime factors are not repeated.

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Related Questions

Need help please need to turn in before 12!!?!?! Anything will help?

Answers

904.32 is the volume.

Volume of sphere

= (4/3)πr³

= (4/3) × 3.14 × (6cm)³

= (4/3) × 3.14 × 6cm × 6cm × 6cm

= 4 × 3.14 × 2cm × 6cm × 6cm

= 904.32 cm³

Answer:

IT IS EASY FORMULAE OF SPHERE IS 4/3πr³ so,

Step-by-step explanation:

                                                    put the value,

                                              =   4/3 * 3.14 *  6³

                                              =  1.333 * 3.14 * 216

                                              =  4.18562 * 216

                                               =  904.09 cm³ ans

formulae of radius = d/2 = 12/2 = 6cmvalue of π(pi)  = 3.14

PQ || NM. What equation can you use to find the length of OQ?

Answers

On solving the provided question, we can say that - As a result, Orthocenter triangle is the answer to the given triangle issue (0, - 5 ).

What is triangle?

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.

determine LN's slope.

[tex]m = (y2 - y1)/ (x2- x1) = 1-5/8-0 = 2[/tex]

formula for altitude

[tex]y - 1 = 2(x - 3) (x - 3)\\y - 1 = 2x - 6\\[/tex]

y = 2x - 5

Altitude of N and LM

[tex]m = (y2 - y1)/ (x2- x1) = 1-5/3-0 ⇒ -3/4\\y - 1 = (x - 8) (x - 8)\\y - 1 = x - 6\\[/tex]

y = x - 5

[tex]8x - 20 = 3x - 20\\5x - 20 = - 20 \\5x = 0 = > x = 0\\[/tex]

y =0 - 5 = - 5

It is the orthocenter (0, - 5 )

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What is the value of c when -120 = -10c

Answers

Answer:

12

Step-by-step explanation:

-120 = -10c

12 = c

Answer:

c = 12

Step-by-step explanation:

The problem is multiplying a number, in this case c, by -10 to get -120. So, you would preform the opposite operation, which is division.

[tex]\frac{-120}{-10} =\frac{-10c}{-10}[/tex]

12 = c

Assuming a soap bubble is a perfect sphere, what is the diameter of a bubble containing 500 cm of air, to the nearest tenth of a centimeter?

Answers

Answer:

9.8 cm

Step-by-step explanation:

Volume of a sphere, V = 4/3 πr³

V = 500cm³

π = 3.14

500 = 4/3 * 3.14 * r³

500 * 3 = 4 * 3.14 * r³

1500 = 12.56r³

r³ = 1500 / 12.56

r³ = 119.42675

r = (119.42675)^1/3

r = 4.9245574

Diameter = 2r

Diameter = 2 * 4.9245574

Diameter = 9.849

= 9.8cm

Diana owns 82 acres of forest land in Oregon. She rents it to a timber grower for $ 232 per acre per year. Her property taxes are $ 39 per acre. How much profit does she make on the land each year?

Answers

Answer:

she makes 15826 $ each year

Is this correct? if not, tell me what is the correct answer

Answers

Answer:

I think this is right

Step-by-step explanation:

1.
(01.01 LC)
Subtract 28.9 − 9.25 =
19/65
(1 point)

2.
(01.01 C)
When adding 32.6 to a certain number, the sum is 36.14, as seen below. What number should go in the box to complete the addition problem?

The decimal 32.6 is added to an unknown whole number and 54 hundredths to equal 36.14.
(1 point)

36.14
3.
(01.02 LC)
Multiply 11.9 × 22.1. (1 point)

2.6299
2,629.9
262.99
26.299
4.
(01.03 LC)
What is the remainder when 16,055 is divided by 16? (Input numeric values only) (1 point)

10,03 and the remainder is 7
5.
(01.03 MC)
What is the quotient of 52.7 ÷ 4.25? (1 point)

1.24
12.4
13.28
132.8
6.
(01.05 MC)
Gracy has fraction 4 over 5 pound of bird seed. She needs fraction 3 over 10 pound to feed the birds daily. Which of the rectangle models below shows how many days' worth of seed Gracy has left? (1 point)

Rectangle model divided into five equal sections, four sections are labeled four-fifths and three sections are labeled three-tenths, equaling one and one-half days.
Rectangle model divided into ten equal sections, five sections are labeled four-fifths and three sections are labeled three-tenths, equaling one and two-thirds days.
Rectangle model divided into five equal sections, four sections are labeled four-fifths and two sections are labeled three-tenths, equaling two days.
Rectangle model divided into ten equal sections, eight sections are labeled four-fifths and three sections are labeled three-tenths, equaling two and two-thirds days.
7.
(01.06 HC)
Jessica used Fraction 2 over 3 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 3 over 4 yards of fabric, and why? (1 point)

Yes, because the quotient of Fraction 1 and 3 over 4 ÷ fraction 2 over 3 is 2 and 5 over 8
No, because the quotient of Fraction 2 over 3 ÷ Fraction 1 and 3 over 4 is 1 and 2 over 12
No, because the quotient of Fraction 1 and 3 over 4 ÷ fraction 2 over 3 is 1 and 2 over 12
Yes, because the quotient of Fraction 2 over 3 ÷ Fraction 1 and 3 over 4 is 2 and 5 over 8
8.
(01.07 MC)
A right rectangular prism has these dimensions:

Length − Fraction 1 and 1 over 4 units
Width − Fraction 5 over 8 unit
Height − Fraction 3 over 4 unit

How many unit cubes of side length Fraction 1 over 8 unit are required to pack the prism without any gap or overlap? (1 point)

60
75
150
300
9.
(02.01 MC)
A fish tank has black and white fish in the ratio of 2 to 6 as shown below:

2 black fish and 6 white fish are shown
Which is another ratio that can describe the black to white fish? (1 point)

1 to 5
5 to1
1 to 3
3 to 1
10.
(02.02 MC)
Tim mixed 2 parts vinegar and 5 parts water to make a cleaning liquid. How many parts of vinegar did Tim mix with each part of water? (1 point)

one over ten
one over five
two over seven
two over five
11.
(02.03 LC)
Victor made different flags that had the same ratio of the length to the width. The table below shows the length and width of the flags Victor made:

Length (centimeter)
Width (centimeter)
3
2
6
4
9
6
12
8
?
10


The missing value in the table is
centimeters. (1 point)

12.
(02.03 MC)
The ratio of the number of cookies to the number of candies in different gift boxes is 5:7. Which table best shows the number of cookies and candies in different gift boxes? (1 point)

Cookies
Candies
5
12
10
24
15
36
Cookies
Candies
2
7
10
35
12
42
Cookies
Candies
10
14
15
21
20
28
Cookies
Candies
11
13
14
16
18
20
13.
(02.03 MC)
A printer printed 68 letters in 4 seconds. If it prints letters at a constant speed, it can print
letters in 30 seconds. (1 point)

Answers

1= 19.65 I’m sorry I don’t really know the rest

Help I’ll give extra points

Answers

Answer:

51

Step-by-step explanation:

Hope this helps

180-90-39

what is the value of Y?​

Answers

Answer:

y = 3

Step-by-step explanation:

2y + 4 = 10

2y = 6

y = 3

sec 330 find the exact value in simplest form with a rational denominator

Answers

Answer:

[tex]\implies \sec 3 30^o = \dfrac{2}{\sqrt3}=\dfrac{2\sqrt{3}}{3}[/tex]

Step-by-step explanation:

Given :-

[tex]\sec 330^o [/tex]

And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,

[tex]\implies \sec (360^o-\theta)= \sec\theta [/tex]

Using this ,

[tex]\implies \sec (330^o) \\\\\rm\implies sec(360^o-30^o) \\\\\rm\implies \sec 30^o [/tex]

And the value of sec 30° is ,

[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}[/tex]

And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,

[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}=\boxed{\red{\dfrac{2\sqrt3}{3}}}[/tex]

Hence the required answer is 23/3.


6. Solve to find the missing number.
3/12 ?/4
a) 1
b) 3
c) 9
(d) 8

Answers

Answer:

1 IS THE CORRECT ANSWER

Step-by-step explanation:

SOLVE..

3/12=?/4

or,(3×4)/12=?(cross muntiply )

or,1=?

therefore 1 is yhe reguired ans..

Write the expression d-7 / 2 in words

Answers

Answer:

The expression "d-7 / 2" can be written in words as

Step-by-step explanation:

The expression "d-7 / 2" can be written in words as "the quotient of d minus 7, divided by 2".

This is the operation of subtracting 7 from d and then dividing the result by 2.

What is the difference between a subset and a proper subset?

{5,8}
{2,5,8}

Is {5,8} a subset of {2,5,8}? please explain.

Answers

Answer:

A subset is when all of the elements in the subset are in the actual set. A proper subset is a subset which the actual set has at least on more element than the proper subset.

Step-by-step explanation:

For example, Set A, {1,2,3} is a subset of B {1,2,3}. But Set C, {1,2} is a proper subset of B. Set {5,8} is a subset of {2,5,8}.

Determine where the graph of the given function is concave upward and concave downward. Find the coordinates of all inflection points.
g(t) = t^2 - 27/t

Answers

The coordinates of the inflection points are (3, 0) and it concave upwards

How to determine the coordinates of the inflection points.

From the question, we have the following parameters that can be used in our computation:

g(t) = t^2 - 27/t

Express properly

So, we have

g(t) = t² - 27/t

Calculate the second derivative

So, we have

g''(t) = 2 - 54/t³

Set the differentiated equation to 0

2 - 54/t³ = 0

So, we have

2t³ = 54

Divide by 2

t³ = 27

Take the cube roots

t = 3

Substitute t = 3 in g(t) = t² - 27/t

g(3) = 3² - 27/3

g(3) = 0

This means that the inflection point occurs at t = 3 and the coordinates of the inflection point are (3, 0)

How to determine the point of concave upward and concave downward

Recall that

g''(t) = 2 - 54/t³

Next, we check if the second derivative exist at t = 0,

g''(0) = 2 - 54/0³

g(0) = undefined

The undefined value implies that the graph has a vertical inflection point at t = 0

And as such, the graph of the function is concave upward

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Please help me solve

Answers

Answer:

The number of shuttles completed successfully is recorded as the score of that runner. The score is recorded in Level. Shuttles format (e.g. 9.5). The maximum laps on the PACER test is 247, which former Central Middle School student Dennis Mejia achieved, the only person to ever reach such a level.

Step-by-step explanation:

An ice-hockey puck measures 3 inches from one side to the other straight across the middle. To the nearest tenth, what is the area of the flat upper surface?

Answers

Answer:

7.1 [tex]in^{2}[/tex]

Step-by-step explanation:

The surface of an ice-hockey puck is shaped as a circle. This means that the surface area of this circle is calculated by the following formula

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

If the measurement of one side to the other is 3 inches, this would be the diameter. The radius is half of the diameter, so in this scenario, it would be 1.5 inches. We can now plug this value into the formula and solve for the surface area.

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

A = [tex]\pi 1.5^{2}[/tex]

A = [tex]\pi * 2.25[/tex]

A = 7.068 or 7.1 [tex]in^{2}[/tex] (rounded to the nearest tenth)

PLEASE HELP ILL GIVE BRAINEST
if two ratios are equal they form a ____

Answers

Answer:

proportion

Step-by-step explanation:

A man can do 1/2 part of a work in 1 hour 50 minutes. How many
hours and minutes does he take to complete the whole work?​

Answers

Answer:

3 hours and 40 minutes.

Step-by-step explanation:

To make it easier, we can first convert 1 hour 50 minutes to all minutes. 1 hour is 60 minutes, so it would be 110 minutes.

The problem tells us that 1/2 of the work takes 110 minutes, and we need to find the amount of time it takes to complete the entire work.

1/2 is well, half of a whole. That means it is 50% done, and 50% takes 110 minutes to complete. The other 50% then, would ALSO take 110 minutes, as it is the same. Therefore, since there are two sets of 110 minutes, it would be 110*2, giving us 220 minutes, or 3 hours and 40 minutes.

Use the square root method to find the solutions to the quadratic equation 22
- 80.
Write your answers separated by a comma. Make sure to simplify.

Answers

Answer:

[tex]x = 2\sqrt{2}, -2\sqrt{2}[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 8 = 0[/tex]

Required

Solve

We have:

[tex]x^2 - 8 = 0[/tex]

Add 8 to both sides

[tex]x^2 = 8[/tex]

Take square roots of both sides

[tex]x = \±\sqrt{8}[/tex]

Expand

[tex]x = \±\sqrt{4*2}[/tex]

This gives:

[tex]x = \±2\sqrt{2}[/tex]

Split

[tex]x = 2\sqrt{2}, -2\sqrt{2}[/tex]

Jorge gives 3 chocolate bars to his friend. HE GIVES 1/12 OF CHOCOLATE BAR TO EACH FRIEND. HOW MANY FRIENDS DOES HE GIVE A PIECE OF CHOCOLATE TO

Answers

36 friends. One whole chocolate bar is equal to 12 of 1/12. 3 chocolate bars multiplied by 12 pieces per bar is equal to 36 friends. Hope this helps!

Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes. At this rate, how long would it take to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches?

Answers

Answer:

Step-by-step explanation:

To figure out how long it would take Fine Floors to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches, we first need to determine how many square yards of carpeting are needed for the room. We can start by converting the dimensions of the room from feet and inches to yards, since that's the unit of measurement we're working with.

To convert feet to yards, we divide by 3. For example, 11 feet is equal to 11/3 = 3.67 yards. To convert inches to yards, we divide by 36 (since there are 36 inches in a yard). For example, 9 inches is equal to 9/36 = 0.25 yards.

So the length of the room in yards is 3.67 + 0.25 = 3.92 yards, and the width of the room in yards is 13/3 + 4/36 = 4.33 + 0.11 = 4.44 yards.

To determine the total area of the room in square yards, we multiply the length and width: 3.92 * 4.44 = 17.38 square yards.

Now that we know how many square yards of carpeting are needed for the room, we can use that information to calculate how long it would take Fine Floors to install the carpeting. Since we know that Fine Floors can install 15 square yards of carpeting in 4 hours 30 minutes, we can use that as the ratio for our calculation.

To calculate how long it will take to install 17.38 square yards of carpeting, we use the proportion:

(15 sq. yards) / (4 hours 30 minutes) = (17.38 sq. yards) / (x hours)

Cross multiplying and solving for x, we find: x = (4 hours 30 minutes) * (17.38 sq. yards) / (15 sq. yards)

So it would take Fine Floors approximately 5 hours and 11 minutes to install carpeting in a room that measures 11 feet 9 inches by 13 feet 4 inches.

Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 30 mm and the height of the pyramid is 18 mm. To get the wax for the candle, Devin melts blocks of wax that are each 8 mm by 6 mm by 5 mm. How many of the wax cubes will Devin need in order to make the candle? Show all formulas and calculations used to arrive at your answer

Answers

9514 1404 393

Answer:

  23

Step-by-step explanation:

The volume of the square pyramid with base of side length s and height h is ...

  V = 1/3s²h

  V = 1/3(30 mm)²(18 mm) = 5400 mm³

The volume of a block of wax is ...

  V = LWH

  V = (8 mm)(6 mm)(5 mm) = 240 mm³

Then the number of blocks of wax required for a candle is ...

  (5400 mm³/candle)/(240 mm³/block) = 45/2 blocks/candle

The candle is equal to the volume of 22.5 blocks of wax. We presume Devin will want to melt whole blocks, so ...

Devin needs 23 blocks of wax to make the candle.

Geometry homework :/

Answers

The length of PZ is 7 units.

What is Centroid Property?

According to the centroid theorem, the triangle's centroid is located 2/3 of the way between the vertex and the side midpoints.

Given:

As, Centroid is the point where all median of a Triangle intersect.

Here, we have centroid 'P'.

Now, using the property of Centroid that the Centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.

So, SP = 1/3 SZ => SZ = 3SP

and, PZ = 2/3 SZ => SZ = 3/2 PZ

Then, 3SP = 3/2 PZ

3(3.5) = 3/2 PZ

10.5 x 2 = 3 PZ

21 = 3PZ

PZ = 7 units

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In a certain chemical, the ratio of zinc to copper is 3 to 14. A jar of the chemical contains 686 grams of copper. How many grams of zinc does it contain?

Answers

Answer:

Ratios and fractions are connected. A ratio of 3 to 14 is the same thing as 3/14. Multiply 686 by 3/14. You will get 147. That is your amount of zinc. If we simplify 147/686, or 147:686, we get 3:14 confirming our answer.

Answer:

147 grams of zinc

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

Let the amount of zinc be x. Then we have equal ratios:

3/14 = x/686

Solve it for x:

x = 686*3/14x = 147

Help
F

Fmfnddjdhhdhd

Answers

Answer:

B) 1

Step-by-step explanation:

65 (1) +1 = 66

80 (1) = 80

66 + 80 = 146

The circumference of a circle is 22 meters. What is the approximate
diameter of the circle?
A 7 meters
B 11 meters
C. 19 meters
D. 69 meters

Answers

The Diameter of the circle =7m

A rectangle off the length (x+2) cm and breadth (x)cm has an area of 15cm².find the va of x hence the perimeter of the rectangle.​

Answers

Answer:

The area of a rectangle is given by the formula:

area = length * breadth

In this case, the length of the rectangle is (x+2) cm and the breadth is (x) cm, so the area is:

area = (x+2) cm * (x) cm

= x^2 + 2x cm^2

We know that the area of the rectangle is 15 cm^2, so we can set up the following equation:

x^2 + 2x cm^2 = 15 cm^2

We can solve for x by using the quadratic formula:

x = (-2 +/- sqrt(4 - 41(-15))) / (2*1)

= (-2 +/- sqrt(64)) / 2

= (-2 +/- 8) / 2

= (-4, 2)

We have two solutions for x, so we need to consider both of them to find the dimensions of the rectangle.

If x=-4, then the length of the rectangle is (x+2) cm = (-4+2) cm = (-2) cm and the breadth is (x) cm = (-4) cm. Since the length and breadth of a rectangle must both be positive, this solution is not valid.

If x=2, then the length of the rectangle is (x+2) cm = (2+2) cm = 4 cm and the breadth is (x) cm = 2 cm. These dimensions give us a valid rectangle with an area of 15 cm^2.

The perimeter of the rectangle is the sum of all four sides, so the perimeter is 2 cm + 2 cm + 4 cm + 4 cm = 12 cm.

Therefore, the value of x that gives us a rectangle with an area of 15 cm^2 and a perimeter of 12 cm is x=2.

help yall please!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

Well it would be funchen because as you see it just makes sence

Answer:

not a function

Step-by-step explanation:

In a function, an input gives only one output. As you can see from the graph, the input which is 4 produces 3 different outputs which are 2, 3 and 4, thus it cannot be a function.

A women went to Shopping.First she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining. Now she has 10$ left. How much money did she spent?

Answers

The amount of money that was spent is $120.

How to illustrate the fraction?

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.

In this case, the women went to Shopping and first she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining.

The fraction of money left will be:

= 1 - 4/5 - (2/3 × 1/5)

= 1 - 4/5 - 2/15

= 1/15

Since she had $10 left the original amount will be:

= $10 ÷ 1/15

= $10 × 15

= $150

The amount spent will be:

= 4/5 × $150

= $120

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La cena de Aubrey cuesta $85. Ella deja 30% de propina por el exelente servicio ¿Cuánto dejó Aubrey de propina?

Answers

Answer:

$25.50

Step-by-step explanation:

85 X 0.3 (30%)=25.5

$25.50

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Think of another topic in science that would lend itself to creating a word web. What is the main topic and list six subtopics you would include under it. You could use a whole subject area like chemistry or the desert. Pick a topic you know something about. Help me with this please Goodwill generated internally should be:__________ a. capitalized in the year it occurs. b. represents the purchase price of a business that is about to be sold. c. is the difference between the fair value of the net tangible and identifiable intangible assets and the purchase price of the acquired business. d. is the only account in the financial statements that is based on fair value, all other accounts are recorded at an amount other than their fair value. How to simplify an equation? 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Hinton15 After the movie was over it suddenly came to us that Cherry and Marcia didn't have a way to get home. Two-Bit gallantly offered to walk them homethe west side of town was only about twenty miles awaybut they wanted to call their parents and have them come and get them. Two-Bit finally talked them into letting us drive them home in his car. I think they were still half-scared of us. They were getting over it, though, as we walked to Two-Bits house to pick up the car. It seemed funny to me that Socsif these girls were any examplewere just like us. They liked the Beatles and thought Elvis Presley was out, and we thought the Beatles were rank and that Elvis was tuff, but that seemed the only difference to me. Of course greasy girls would have acted a lot tougher, but there was a basic sameness. I thought maybe it was money that separated us.16 No, Cherry said slowly when I said this. Its not just money. Part of it is, but not all. You Greasers have a different set of values. Youre more emotional. Were sophisticatedcool to the point of not feeling anything. Nothing is real with us. You know, sometimes Ill catch myself talking to a girl-friend, and I realize I dont mean half of what Im saying. I dont really think a beer blast on the river bottom is super-cool, but Ill rave about one to a girl-friend just to be saying something. She smiled at me. I never told anyone that. I think you're the first person I've ever really gotten through to.Based on the narrators observations of Cherry and Marcia in paragraph 15, the reader can conclude that Answer choices for the above questionA. Socs do not trust the Greasers.B. Socs are comfortable with the Greasers.C. Socs are eager to get along with the Greasers.D. Socs do not want to owe the Greasers any favors.Based on the narrators observations of the Socs and Greasers in paragraph 15 and 16, the reader can conclude that from his point of viewAnswer choices for the above questionA. Greasers have more money than Socs.B. Greaser girls are much tougher than Soc girls.C. the Greasers and the Socs are basically the same.D. the Greasers and the Socs are driven by emotions.Which detail best shows that Cherrys point of view comes from feeling pressure to fit in with the Socs?Answer choices for the above questionA. You Greasers have a different set of values.B. Were sophisticatedcool to the point of not feeling anything.C. You know, sometimes Ill catch myself talking to a girl-friend, and I realize I dont mean half of what Im saying.D. I never told anyone that. I think you're the first person I've ever really gotten through to. What do you think is the difference between a play and a drama 2 What is the term used to describe the author of a play 3 What is a tragic play? A company manufactures industrial laminates (thin nylon-based sheets) of thickness 0.016 in., with a tolerance of 0.004 in.0.016 in.(a) Find an inequality involving absolute values that describes the range of possible thickness for the laminate. (Use h forthe thickness.)(b) Solve the inequality that you found in part (a). (Enter your answer using interval notation.) 4. Which of the following statements about the Late Pleistocene Paleo-Indians in Pennsylvania is true?O Paleo-Indians lived on boats in the middle of Pennsylvania's rivers but moved often depending on the amount of fish they could catch.Paleo-Indians did not set up permanent camps because they had to travel in order to survive.Paleo-Indians set up permanent camps in caves so that they could hide from the many animals in the area.Because of the intense cold, Paleo-Indians had to be around one big fire at all times. The Paleo-Indians formed communities around this giant blaze. Explain why the energy available at the top layer of the pyramid is a small percentage of the energy present at the bottom of the pyramid: * Economic value added is also referred to as ______. Multiple choice question. Opportunity cost of capital residual income net income rate of return explain how the author uncovers Allan life The dedication of citizens to the common welfare of their community or country, even at the cost of his or her individual interests. Both citizens and leaders are willing to set aside what they want for the common good. Clouds are formed whensunlight causes water droplets to evaporate.liquid water condenses on grass and windows.raindrops freeze into tiny pellets and fall to Earth.water vapor in the air condenses to form liquid water or ice.