Is -3 a natural number a whole number a integer a rational number or irrational number

Answers

Answer 1

Answer:

-3 is a rational integer.

Step-by-step explanation:

An integer is a superset of the whole numbers that includes the negated values as well as 0.

A rational number is simply anything that can be expressed as a fraction.

-3 is by these definitions, a negated 3, and any non fractional number can be expressed as a fraction.

-3 is not a natural number, as that is the set of numbers {1, 2, 3, 4, 5, ... etc} and -3 is not a whole number, as that is the set of numbers {0, 1, 2, 3, 4, ... etc}.

And -3 is also not an irrational number since it can be expressed as a fraction.

Thus, -3 is a rational integer.

Cheers.


Related Questions

The coordinates of point 7 are given. The midpoint of ST is (5. - 8). Find the coordinates of point S.
9. T(10, 18)

Answers

Answer:

S(0, 2)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Step 1: Plug in known variables

5 = (10 + x)/2

-8 = (18 + y)/2

Step 2: Solve

10 = 10 + x

x = 0

-16 = 18 + y

y = 2

Step 3: Write coordinates

(0, 2)

If B is the midpoint of AC, solve for x, and find the lengths of AB, BC, and AC.

Please show all work and not just the answers.

Answers

Answer:

x=2

AB=8

BC=8

AC=16

Step-by-step explanation:

7x-6=12-2x

7x+2x=12+6

9x=18

x=2

AB=7x-6=7(2)-6=14-6=8

BC=12-2x-12-2(2)=12-4=9

AC=8+8=16

"one less than the product of a number and 3 is 5 more than the number itself"

Answers

Answer:

  the number is 3

Step-by-step explanation:

Perhaps you'd like to find the number.

If n represents the number, we can write the relationship as ...

  3n -1 = n +5

Adding 1-n to both sides gives ...

  2n = 6

  n = 3 . . . . divide by 2

The number is 3.

_____

Check

The product of the number and 3 is 9. One less is 8. That is 5 more than the number itself: 8 = 3 + 5.

Choose all the fractions that are equivalent to 1/2

Answers

Fractions equivalent to 1/2 are 2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18/ 10/20, 12/24, 14/28.

Just a couple of them above. Hope all of this helps you out

The fractions that are equivalent to 1/2 are:

2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20.

The fractions that are equivalent to 1/2 are:

1/2 (itself)

2/4

3/6

4/8

5/10

6/12

7/14

8/16

9/18

10/20

and so on.

These fractions are equivalent to 1/2 because they represent the same value when simplified.

When the numerator and denominator are divided by their greatest common divisor, they result in the simplified fraction of 1/2.

For example, if we simplify 2/4, we divide both the numerator and denominator by 2, resulting in 1/2

Similarly, if we simplify 6/12, we divide both the numerator and denominator by 6, again resulting in 1/2. This pattern holds for all the listed fractions.

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Angela tried to solve an equation step by step. \begin{aligned} \dfrac34+m&=\dfrac54\\\\ \dfrac34+m-\dfrac34&=\dfrac54+\dfrac34&\green{\text{Step } 1}\\\\ m&=2&\blue{\text{Step } 2} \end{aligned} 4 3 ​ +m 4 3 ​ +m− 4 3 ​ m ​ = 4 5 ​ = 4 5 ​ + 4 3 ​ =2 ​ Step 1 Step 2 ​ Find Angela's mistake.

Answers

Answer:

The mistake she made was ; She didn't change the sign when subtracting -3/4 from both sides

She wrote 5/4+3/4 instead of 5/4-3/4

Step-by-step explanation:

Correct solution:

[tex] \frac{3}{4} + m = \frac{5}{4} [/tex]

Subtract-3/4 from both sides

[tex] \frac{3}{4} - \frac{3}{4} + m = \frac{5}{4} - \frac{3}{4} [/tex]

Simplify

[tex]m = \frac{5}{4} - \frac{3}{4} \\ m = \frac{1}{2} [/tex]

The mistake Angela made was when she subtracted -3/4 from both sides, she didn't change the sign and She wrote 5/4 + 3/4 instead of 5/4-3/4.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have given the expression as

⇒ 3/4 + m = 5/4

The mistake Angela made was when she subtracted -3/4 from both sides, she didn't change the sign.

She wrote 5/4 + 3/4 instead of 5/4-3/4

Here is the correct work :

Subtract 3/4 from both sides from the equation,

⇒ 3/4 + m - 3/4 = 5/4 - 3/4

⇒ m = (5 - 3)/4

⇒ m = 2/4

⇒ m = 1/2

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given that the total surface area of a cuboid with a square base is 66cm^2 and the total length of the sides is 40c. Find the possible volume of the cuboid.

Answers

Answer:

660cm^3

Step-by-step explanation:

to find the volume of a square with surface area, you multiply the base by the height. So the base is 66 and the height is 10(because 40/4=10). Then 66x10=660. So 660cm^3 would be your answer. Hope that helps!

Answer:

36 cm³

≈ 35.85 cm³

Step-by-step explanation:

Given cuboid with:Total surface area = 66 cm²Total length of the sides = 40 cmTo find:Volume of cuboidSolution

Let side of the base be x and height be y

Then we have equatins for total surface area and total side length:

2*x² + 4*xy = 66 ⇒ x² + 2xy = 332*4x + 4y = 40 ⇒ 2x + y = 10 ⇒ y = 10 - 2x

Substituting y in the first equation:

x² + 2x(10 - 2x) = 33x² + 20x - 4x² = 33-3x² + 20x - 33 = 03x² - 20x + 33 = 0

Solving the quadratic equation we get roots of:

x₁ = 3 cmx₂ = 11/3 cm

For x = 3, the value of y:

y₁ = 10 - 2x = 10 - 6 = 4 cm

For x = 11/3, the value of y:

y₂ = 10 - 2x = 10 - 22/3 = 8/3 cm

Based on the found values we get 2 possible volumes:

V = base * height = x²yV₁ = 3²*4 = 36 cm³V₂ = (11/3)²*8/3 ≈ 35.85 cm³

4 Three collinear points on the coordinate plane are R(x, y), S(x + 8h, y + 8k), and
P(+ + 6h,y + 6K)
RP
Part A: Determine the value of
SP
RP
Part B: Determine the value of



Please show the step you took to find the answer

Answers

Answer:

RP/SP =3 , RP/RS = 3/4

Step-by-step explanation:

Here is the complete question

Three colinear points on the coordinate plane are R(x,y) S(x+8h, y+8k) and P(x+6h,y+6k) Determine value of RP/SP and RP/RS?

Solution

We first find the length of RS, SP and RP as follows

RS = S(x+8h, y+8k)  - R(x,y)

= √[((x + 8h) - x)² + ((y + 8k) - y)²]

= √[x - x + 8h)² + (y - y + 8k)²]

= √[(8h)² + (8k)²] = 8√(h² + k²)

SP = P(x + 6h,y + 6k) - S(x+8h, y+8k)  

= √[((x + 6h) - (x + 8h))² + ((y + 6h) - (y + 8k))²]

= √[x - x + 6h - 8h)² + (y - y + 6k - 8k)²]

= √[(-2h)² + (-2k)²] = 2√(h² + k²)

RP = P(x+6h, y+6k)  - R(x,y)

= √[((x + 6h) - x)² + ((y + 6k) - y)²]

= √[x - x + 6h)² + (y - y + 6k)²]

= √[(6h)² + (6k)²] = 6√(h² + k²)

So, RP/SP = 6√(h² + k²)/2√(h² + k²)

= 6/2

= 3

RP/RS = 6√(h² + k²)/8√(h² + k²)

= 6/8

= 3/4

The table lists the test scores William and Andre received on five math assessments. Which student had the higher median? By how much? A: Andre by 7 points B: William by 5 points C: William by 7 points D: Andre by 5 points

Answers

Answer: c

First you organize the numbers into order then you find the middle of both. The middle of Williams was 89. Then you do the same for Andres and you get 82. To get the difference of them both you have to subtract both of them to get 7 and that’s c.

if qr=8x+1 and qs=20x-26 than what is rs

Answers

Answer:

Step-by-step explanation:

20x - 26 = 8x + 1

12x - 26 = 1

12x = 27

x = 27/12 = 2 3/12 = 2 1/4 = 2.25

8(2.25) + 1 + 20(2.25) - 26

18 + 1 + 45 - 26

19 + 45 - 26

64 - 26 = 38 = rs

The value of rs is 38 for the given expression.

What is a balancing equation?

"A balanced equation is an equation where both sides are equal to the same amount. The answer to the expression on the left side of the equals sign (=) should be equal to the value on the right side of the equals sign".

For the given situation,

The two equations are

qr=8x+1  and

qs=20x-26

On equating these two equations,

[tex]8x+1=20x-26[/tex]

⇒ [tex]12x=27[/tex]

⇒ [tex]x = 2.25[/tex]

To find rs, we need to add both equations.

[tex]rs=8x+1+20x-26[/tex]

⇒ [tex]rs=8(2.25)+1+20(2.25)-26[/tex]

⇒ [tex]rs=38[/tex]

Hence we can conclude that the value of rs is 38.

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Three times the sum of 7 and a number is 24

Answers

Answer:

The number is:

1

Step-by-step explanation:

3(7+a) = 24

3*7 + 3*a = 24

21 + 3a = 24

3a = 24 - 21

3a = 3

a = 3/3

a = 1

A man runs 30 meters in one direction, then 25 meters in another direction. how may meters did the man travel in total?

Answers

Answer:

55

Step-by-step explanation:

He ran 30 meters in one direction and 25 meters in another.

Therefore, the total distance that he ran is 30 + 25 which is equal to 55 meters.

5x-6y=17 whats the value of y?

Answers

Answer:

see below

Step-by-step explanation:

5x - 6y = 17

5x - 17 - 6y = 0

5x - 17 = 6y

y = [tex]\frac{5x - 17}{6}[/tex]

Answer:

Hey there!

Original Equation: 5x-6y=17

Subtract 5x: -6y=17-5x

Multiply by -1: 6y=5x-17

Divide by 6: y= [tex]\frac{5x-17}{6}[/tex].

Let me know if this helps :)

Answer fast please
8.
What is the 9th term in the quadratic sequence
shown below?
2, 5, 10, 17, 26, ...
A. 97
B. 82
C. 71
D. 65

Answers

it is b. 82! because it keeps going up by 2’s so 26+11 is 37. 37 +13 is 50. 50+ 15 is 82. please tell me if i’m correct

Given that R is between S and T, find the measure of TS RS=6 TR=4.5 TS=?

Answers

Answer:

[tex]\huge\boxed{TS = 10.5}[/tex]

Step-by-step explanation:

Given that:

R is a point lying on line TS

So,

TS = TR + RS

Where TR = 4.5 and RS = 6

=> TS = 4.5 + 6

=> TS = 10.5

Choose the correct order and evaluate the expression: (28÷4)×5−6+42

Answers

(28/4)*5-6+42

35-6+42

77-6

71

final answer is 71

first bracket one should be done then multily than addition and subraction.like this you get correct answer.

The order u should follow is
BDMAS
B is for “bracket “
D is for “division”
M is for “multiplication “
A is for “addition”
S is for “subtraction”
So start with the bracket
28/4=7
And so on

Which are the two most important reasons for continuing education in the healthcare fields?
A. Rapidly increasing medical costs and a competitive job market
B. Technological advancement in new discoveries in health care
C. Job satisfaction in an unstable economy
D. Government requirements and rapid Computerization

Answers

Answer:

B. Technological advancement in new discoveries in health care

Hope this helps :)

Answer:

B

Step-by-step explanation:

ed2020

Can someone please help?

Answers

Answer:

Explanation: The sum of the lengths of any two sides of a triangle must exceed the length of the third side; therefore, 5+7 > x, which cannot happen if x = 13.

In the following problems, suppose J is between H and K.
• Use Segment Addition Postulate to solve for x.
• Then find the length of each segment.

11. HJ=6x-5
JK=4x-6
KH=129

12. HJ=4x-15
JK=5x-6
KH=15

Please show all work and not just answers.

Answers

Answer:

  11. HJ = 79; JK = 50

  12. HJ = 1; JK = 14

Step-by-step explanation:

The segment addition postulate tells you the total length is the sum of the segment lengths.

__

11. HJ + JK + HK

  (6x -5) +(4x -6) = 129

  10x = 140 . . . . add 11

  x = 14 . . . . . . . divide by 10

  6x -5 = 6(14) -5 = 79 = HJ

  4x -6 = 4(14) -6 = 50 = JK

__

12. HJ + JK = HK

  (4x -15) +(5x -6) = 15

  9x = 36 . . . . . add 21

  x = 4 . . . . . . . .divide by 9

  4(4) -15 = 1 = HJ

  5(4) -6 = 14 = JK

A vertex can represent
a person, object, location, or number
a variable or a pathway
a point, and nothing more

Answers

A point, and nothing more

If m angle ABD=79 degrees , what are m angle ABC and m angle DBC​

Answers

Answer:

m<ABC = 45

m<DBC = 34°

Step-by-step explanation:

Given:

m<ABD = 79°

m<ABC = (8x - 3)°

m<DBC = (5x + 4)°

Step 1: Generate an equation to find the value of x

m<ABC + m<DBC = m<ABD (angle addition postulate)

(8x - 3) + (5x + 4) = 79

Solve for x

8x - 3 + 5x + 4 = 79

13x + 1 = 79

Subtract 1 from both sides

13x + 1 - 1 = 79 - 1

13x = 78

Divide both sides by 13

x = 6

Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle

m<ABC = (8x - 3)°

m<ABC = 8(6) - 3 = 48 - 3 = 45°

m<DBC = (5x + 4)°

m<DBC = 5(6) + 4 = 30 + 4 = 34°

-8 - x = x - 4x
what is x?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = 4}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 8 - x = x - 4x}[/tex]

Collect like terms

⇒[tex] \sf{ - 8 - x = - 3x}[/tex]

Move 3x to left hand side and change it's sign

Similarly, move 8 to right hand side and change it's sign

⇒[tex] \sf{ - x + 3x = 8}[/tex]

Collect like terms

⇒[tex] \sf{2x = 8}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2x}{2} = \frac{8}{2} }[/tex]

Calculate

⇒[tex] \sf{x = 4}[/tex]

Hope I helped!

Best regards!!

Which of the following expressions has more than one term? (1 point)
O dz
O 4
Ot-t
O 18

Answers

'dz' because d and z are different values.

Answer:

t-t

Step-by-step explanation:

Please I don’t understand this thank you

Answers

Answer:

55°

Step-by-step explanation:

What we have are vertical angles. Vertical angles are angles directly opposite to one another.

Importantly, the measures of vertical angles are equivalent. Thus, set the expressions to each other and solve for x:

[tex]3x+34=7x+6[/tex]

Subtract 3x from both sides:

[tex]34=4x+6[/tex]

Subtract 6 from both sides:

[tex]28=4x[/tex]

Divide everything by 4:

[tex]7=x[/tex]

Flip:

[tex]x=7[/tex]

Now, substitute this back into either of the equations since we know they are the same:

[tex]3x+34\\=3(7)+34[/tex]

Multiply:

[tex]=21+34[/tex]

Add:

[tex]=55[/tex]

So, the angle is 55°

All of the following expressions are equal except ____.
1/4^3
4^2/4^5
4^4/4^2
4^-3

Answers

1/4^3= 0.015625

4^2/4^5= 0.015625

4^4/4^2= 16

4^-3= 0.015625

therefore the third one is the one that u are looking for

4^4/4^2= 16

All of the expressions are equal except the third expression i.e., 4^4 / 4^2.

Some expressions are given in the question.

We have to find out which expression is not equal to the other expressions.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

Let's check the value of given expressions by simplifying them.

a )

(1/4)³

= [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4}[/tex] × [tex]\frac{1}{4}[/tex]

= [tex]\frac{1}{64}[/tex]

= 0.015625

b)

4² / [tex]4^{5}[/tex]

= [tex]\frac{16}{1024}[/tex]

= [tex]\frac{1}{64}[/tex]

= 0.015625

c)

[tex]4^{4}[/tex] /

= [tex]\frac{256}{16}[/tex]

= 16

d)

[tex]4^{-3}[/tex]

= [tex]\frac{1}{64}[/tex]

= 0.015625

So , all values are equal except 3rd value.

Thus , all of the expressions are equal except the third expression i.e., 4^4 / 4^2.

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The associative property allows us to change the grouping of the factors that are
multiplied together to create what?

Answers

Answer:

Step-by-step explanation:equivalent expressions

The associative property allows us to change the grouping of the factors that are multiplied together to create an equivalent expression.

When the grouping of the addends is changed, the sum stays the same. The Associative Property of Multiplication states that when the grouping of the factors is changed, the product is the same. It is also called the Grouping Property of Multiplication. Always multiply the numbers inside the parentheses first.

What is the associative grouping property of multiplication?

The associative property is a math rule that says that the way in which factors are grouped in a multiplication problem does not change the product.

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Hayden places these four blocks into a bag. A B С He picks one block without looking. What is the probability that the block Hayden picks has a letter on it? . A 1/4 B 1/3 C 2/3 D 3/4​

Answers

Answer:

Option D. 3/4

Step-by-step explanation:

From the question given above, we obtained the following information:

Block with letter = 3

Block with symbol = 1

Total = 4

Thus,

Sample space (S) = 4

Event of block with letter (nBl) = 3

Event of block with symbol (nBs) = 1

Finally, we shall obtain the probability of picking a block with letter as follow:

Sample space (S) = 4

Event of block with letter (nBl) = 3

Probability of picking a block with letter, P(Bl) =?

P(Bl) = nBl/nS

P(Bl) = 3/4

Therefore, the probability of picking a block with letter is 3/4.

A rectangle has sides that measure 12x + 7 units long and 9x+ 11 units long. What is the expression that represents the perimeter of the rectangle?​

Answers

Answer: P= 2{(12x+7) + (9x+11)} or 42x + 36

Step-by-step explanation:

The formula for the perimeter of a rectangle is P=2(l+w)

P= 2{(12x+7) + (9x+11)}

Simplified to 42x + 36

Please answer 2 and below photo is above and show workthank you

Answers

Answer:

18.6

Step-by-step explanation:

Adding -20.4 to 39 is the same as subtracting 20.4 from 39. 39 - 20.4 = 18.6.

Answer:

See each problem number below for answers.

Step-by-step explanation:

To solve this problem, we must remember the rules of addition and subtraction.  If we are adding a negative, this is the same thing as subtracting a positive number (because subtraction is defined as the addition of a negative number).  In addition, if we are subtracting a negative number, the two negative signs cancel each other out, and we are left with addition of a positive number.  Let's use these rules in the problems you have given.

1) 2 - (-73)

Since the subtraction of a negative is the same as addition, we can rewrite this as:

2 + 73

which is a simple computation and leaves us with:

75

2) 39 + (-20.4)

The addition of a negative is the same as subtraction, so we can rewrite this as:

39 - 20.4

which is a simple computation and yields:

18.6

3) 67.086 - (-20)

The subtraction of a negative is the same as addition (similar to problem 1)

67.086 + 20 = 87.086

4) 60 + (-19)

The addition of a negative is the same as subtraction (similar to problem 2)

60 - 19 = 41

5) 87 - 64.05

This is a simple subtraction problem, the computation gives us the answer of:

87 - 64.05 = 22.95

Hope this helps!

A beekeeper has 65,000 female bees and 700 male bees in one colony. A disease kills 25% of the female bees and 14% of the male bees. After the disease hits the colony, the beekeeper decides to sell 12 of the remaining female bees to a friend. How many total bees are left in the beekeeper's colony after the disease and sale? 13,500 bees 13 comma 500 bees 24,375 bees 24 comma 375 bees 24,977 bees 24 comma 977 bees 32,550 bees

Answers

Answer:

they will breed again

Step-by-step explanation:

bruh bruh there will be worker bee and drone bee not female or male bee

For 1,a bag of marbles contains 4 black, 5 blue, 1 white, 2 yellow, and 3 green marbles 1. What is the ratio of the number of black marbles to the number of yellow marbles? A. 2:1 B. 1 to 5 C. 1:4 D. 1 to 2

Answers

Answer:

The ratio is  2:1

Step-by-step explanation:

black : yellow

4                  2

Divide each side by 2

4/2                2/2

2                    1

Other Questions
The internal business perspective of the balanced scorecard answers which of the following questions? A) How do customers see us? B) What must we excel at? C) How do we look to shareholders? D) Can we continue to improve and create value? Lucy lab tech is to administer a glucose tolerance test on Mrs. Sweet. Mrs. Sweet is a fairly large lady weighing 330 pounds. The normal 8 oz. bottle of glucola used in the test is designed for patients with a weight range of 100-220 pounds. Patients weighting less that 90 or more than 250 pounds should be given a dosage of 2 ml/kg. How many ounces (oz) of glucola should Lucy give to Mrs. Sweet? This question relates to concepts covered in Lectures 1 & 2. You can use any of the excel files posted to work through the question. Demand at a store can be modeled by a random variable which takes the following values across four different scenarios that occur with following probabilities. Scenario Low: D1 = 10 with probability P1=0. 1 Scenario Medium 1: D2 = 30 with probability P...2=0,4 Scenario Medium 2. D3 = 60 with probability p. 3-0.4 Scenario High: 04 = 90 with probability p_4=0.7 What is the mean of this demand distributional? 0.4, 0.04, 0.44, 0.444, 0.404, 0.044 in order smallest first A hypothesis for angel soft using the penny's and water experiment. Hint: A hypothesis have to have if and then in the sentence. Don't click on this I am testing what is democracy and why do we need it A ball player is at bat 55 times as hits the ball 33 times. Want ratio of his times at bat does he not hit the ball? What is the area of the rhombus Giving suggestions to your friend, write conversations of two exchanges each for the following situations:a) ........forgot to get her school diary signed b)........did not do well in her examsc) ........wants to lose some weightd)........is looking for a gift for Fathers Day e).......has her sisters wedding next week If the measure of an angle is 13, find the measure of its supplement. Brad gets an allowance of $16 each week, and his younger sister Samantha gets an allowance of $9 each week. Brad saves one-half of his allowance, and Samantha saves two-thirds of her allowance. Suppose Brad started with $0 savings, and Samantha started with $40. How many weeks will it take until they have the same amount in savings? What are the two non-European countries that had colonies? Monga manufactures cell phones. The conversion costs to produce cell phones for November are added evenly throughout the process in the Assembly Department. The company uses the weighted-average method. For each of the following separate assumptions, calculate the equivalent units of production for conversion costs in the ending Work-in-Process Inventory for the Assembly Department: 1. 15,000 cell phones were 75% complete 2. 20,000 cell phones were 25% complete First, determine the formula for calculating equivalent units of production. (Abbreviation used: WIP-Work-in-Process Inventory) Equivalent units of production Assumption 1. 15,000 cell phones were 75% complete The equivalent units for conversion costs is Assumption 2. 20,000 cell phones were 25% complete The equivalent units for conversion costs is Slope m = -5 y= intercept -4 What is the equation? A sprinter runs 400 meters in 54 seconds. What is the runners average running rate in meters per second? (Round to the nearest tenth.) Which characteristics is used to identify an amino acid? The perimeter of a parallelogram is 56 meters. The width of the parallelogram is 8 meters less than its length. The length of the parallelogram is . The width of the parallelogram is . Find the length and the width of the parallelogram. calculate and compare the chemical energy of coal to its gravitational potential energy. Burning 1 kg of coal releases about 3 million joules of energy. if you could use all of the chemical energy to lift another kilogram of coal, how could you lift it? Which one of the following correctly states the VaR for a 3-year period with a 2.5 percent probability? a) Prob[Rp, I E(Rp) x 3 - 1.960 x Op V3] b) Prob[Rp, I S E(Rp) x 13 - 1.645 x Op 3] c) Prob[Rp, T = E(Rp) x V3 - 1.960 x Op 3]