What number multiplies to -50 and adds to 5?

Answers

Answer 1

Answer:

10 and -5

Step-by-step explanation:

10(-5) = -50

10 + (-5) = 5

Good luck!

Answer 2

Answer:

10 and -5

Step-by-step explanation:


Related Questions

Please help quickly!
Use the figure below to answer questions 18-21

Answers

Answer:

Step-by-step explanation:

18. m∠1 = 104°

19. m∠2 = 79°

20. m∠3 = 65°

21. m∠5 = 73°

Harprr buys a flannel sheet online for 22.50.If shipping and handling are an additional 35% of the price,how much shipping and handling will haper pay

Answers

Answer: 7.88 currency units

Step-by-step explanation:

Shipping and handling are 35% of the price of the flannel sheet so in currency terms are:

= Price of flannel sheet * Additional percentage for shipping and handling

= 22.50 * 35%

= 7.875

= 7.88 currency units

Answer:

787.5

Step-by-step explanation:

22.50×35

=787.5mine is correct, do not believe any expert verified answer,I calculated it now and mine is correct

manatee.schoology.com
EOC Review #2
.
If another line is perpendicular to the line
shown on the graph, what must be its slope?
A.
B.
NI UN NIIN
C.
D.
ОА
OB
OD

Answers

Cccccccccccccccccccccccccc

Brie bought a rug for her bedroom. The area of the rug measures 25 square feet. Her bedroom is ten feet wide and twelve feet long. Using the given measurements, what is the amount of her bedroom NOT covered by the rug

Answers

The area of bedroom rug is 15 square feet. the longer side measures 5 feet. his living room rug is twice as long and twice as wide as the bedroom rug.

What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.Take a pencil and draw a square on a piece of paper. It is a 2-D figure. The space the shape takes up on the paper is called its Area. Now, imagine your square is made up of smaller unit squares. The area of a figure is counted as the number of unit squares required to cover the overall surface area of that particular 2-D shape. Square cms, square feet, square inches, square meters, etc., are some of the common units of area measurement.To find out the area of the square figures drawn below, draw unit squares of 1-centimeter sides. Thus, the shape will be measured in cm², also known as square centimeters.

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What is the negation of P → PV Q?

Answers

The statement "it is not the case that p and q are both true" is made in the negation of p ^ q.

As a result, when p q is true, that is, when one or both of p and q are true, (p q) is true precisely. The sentence is only untrue when both p and q are true. The opposite of the given mathematical statement is the negation of a statement in mathematics. If "P" is a statement, then "~P" is the statement's negation.

The words "~" or "¬" are used to denote a statement's denial.

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Your mortgage payment is $954. 32/month. Using proportions, what is the minimum yearly amount you must have in realized income to keep your housing expenses in the acceptable range? $Fill in the blank text field 1

Answers

The mortgage payment exists $954. 32/month then the annual realized income exists 42,414.22.

What is meant by mortgage payment?

Principal, interest, taxes, and insurance make up the majority of mortgage payments. Your outstanding loan balance is reduced by the amount in the principal part. Borrowing money has a cost, which is interest. Both the interest rate and the loan balance affect how much interest you pay.

You repay your mortgage loan through monthly payments. This will often be a monthly payment that aids in your gradual mortgage repayment. There will also be taxes, insurance premiums, and loan interest due.

Assume a mortgage repayment schedule that is reasonable, using 27% of gross monthly income.

The product of the monthly mortgage payment by 12 months, divided by the acceptable rate, yields the annual realized income.

[tex]$& \frac{\text { Mortgage }}{\text { Acceptable Rate\% }} * 12 \\[/tex]

substitute the values in the above equation, we get

[tex]$& =\frac{954.32}{0.27} * 12[/tex]

= 42,414.22

Therefore, the annual realized income exists 42,414.22.

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The mortgage payment exists $954. 32/month then the annual realized income exists 42,414.22.

What do you mean by mortgage payment?

Generally speaking, mortgage payments are made up of principal, interest, taxes, and insurance. The sum in the principle component is deducted from your outstanding loan balance. Interest is a cost associated with borrowing money. The amount of interest you pay depends on both the interest rate and the loan balance.

Monthly payments are made to pay down your home loan. This will frequently be a monthly payment to help you slowly pay down your mortgage. Taxes, insurance premiums, and loan interest will all need to be paid.

Assume a mortgage repayment schedule that is reasonable, using 27% of gross monthly income.

The product of the monthly mortgage payment by 12 months, divided by the acceptable rate, yields the annual realized income.

[tex]\frac{Mortage}{Acceptable rate } *12[/tex]

substitute the values in the above equation, we get

[tex]\frac{954.32}{0.27} *12[/tex]

= 42,414.22

Therefore, the annual realized income exists 42,414.22.

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How much money will you have if you were to earn 10$ every week for 2 years?

Answers

Answer: $1,040

Step-by-step explanation:

52 weeks in a year

52x 10= 520

520x 2(for the years)= 1,040

Answer:

1,040$

Step-by-step explanation:

52 weeks in each year

52 x 2 is 104.

104 x 10 is 1,040.

A horizontal curve is being designed around a pond with a tangent length of 1200 ft and a central angle of 29.86 degrees. If the PI is at station 105 00, determine the station of PT

Answers

The station of PT is 12305.58 ft

The station of PT can be determined using the formula:

PT = PI + R * (central angle in radians)

To use this formula, we first need to convert the central angle from degrees to radians. We can do this by multiplying the central angle by (π/180)

Next, we need to determine the radius (R) of the curve. We can use the formula:

R = L / (central angle in radians)

Where L is the tangent length.

Finally, we can substitute the values into the formula for PT:

PT = 105 00 + (1200 / (29.86 * (π/180)))

PT = 105 00 + (1200 / (0.5236))

PT = 105 00 + 2295.58

PT = 12305.58

It's important to note that this calculation assumes that the degree of curvature is a circular curve and that the PI is at the tangent point of the curve.

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There is a bag filled with 4 blue, 3 red and 5 green marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting 2 different colours?

Answers

Answer:

                  .

green 0.416  red0.25 blue0.3

Step-by-step explanation:

Answer:

47/66 or 0.71 or  71%

Step-by-step explanation:

4 blue, 3 red and 5 green marblesTotal marbles = 12

Possible options for 2 different colors are:

BR, BG, RB, RG, GB, GR

Probability of each:

P(BR) = 4/12*3/11 = 1/11P(BG) = 4/12*5/11 = 5/33P(RB) = 3/12*4/11 = 1/11P(RG) = 3/12*5/11 = 5/44P(GB) = 5/12*4/11 = 5/33P(GR) = 5/12*3/11 = 5/44

Now, the probability of 2 different colors:

P(2 different colors) = 1/11*2 + 5/33*2 + 5/44*2 = 2/11 + 10/33 + 5/22 = (2*6+ 10*2 + 5*3)/66 = 47/66 = 0.71 = 71%

What is the area of a regular hexagon with sides that measure 10 feet and an
apothem that measures 8.66 feet?

Answers

Answer:

259.8 square feet

Step-by-step explanation:

What is the area of a regular hexagon with sides that measure 10 feet and an

apothem that measures 8.66 feet?

The formula to solve the above question is given as:

Area = (3√3 s²)/ 2 where

s is the length of a side of the regular hexagon

Area of this Hexagon is calculated as:

= (3√3 × 10²)/2

= 3√3 × 100/2

= 259.80762114 square feet

Approximately = 259.8 square feet

The area of the regular hexagon = 259.8 square feet

Let the random variable h represent the height of a woman in the population. P(h<60) represents the probability of randomly selecting a woman with height less than 60 inches. Based on the information given, the probability can be found using either the discrete model or the normal model. 1. Give an example of a probability h that can be found using the discrete model but not the normal model

Answers

The probability of h that can be found using the discrete model but not the normal model is 0.03.

A discrete probability distribution or DPD (also known as a discrete probability model) records all possible values of a discrete random variable and gives their probabilities.

The normal probability model involves when the distribution of the continuous outcome conforms reasonably well to a normal or Gaussian distribution, which resembles a bell-shaped curve.

H represents the height of women

Determine P ( H < 60 ) using either a discrete or normal model

using discrete model

P ( H < 60 ) = ∑ relative frequencies of the women with height < 60 inches

P ( H < 60 ) = 0.01 + 0.02 = 0.03

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please help me brailyist for correct answer

Answers

Answer:

photo is blurr bro

Step-by-step explanation:

i can't help with this photo

One fourth of the student weigh between 72-76

Reduce the fraction and find the domain

Answers

The simplification of all the given algebra fractions are;

1) a/c

2) (a - b)/(a - 1)

3) (x + 1)/(x - 4)

How to solve algebraic fractions?

An algebraic fraction is defined as a fraction whose numerator and denominator are algebraic expressions.

1) (abc + ab²)/(b²c + bc²)

Factorizing numerator and denominator gives;

ab(c + b)/bc(b + c)

b(b + c) will cancel out to get; a/c

2) (a² - b²)/(a² - a + ab - b)

Factorizing numerator and denominator gives;

[(a + b)(a - b)]/[a(a - 1) + b(a - 1)]

= [(a + b)(a - b)]/(a + b)(a - 1)

(a + b) will cancel out to get;

(a - b)/(a - 1)

3) (x² - 2x - 3)/(x² - 7x + 12)

Expanding the numerator and denominator gives;

(x² - 3x + x - 3)/(x² - 4x - 3x + 12)

= ((x + 1)(x - 3))/((x - 3)(x - 4)

(x - 3) will cancel out to get;

(x + 1)/(x - 4)

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Write the simplified expression: 2(-2n + 2)

Answers

Answer:

-4n+4

Step-by-step explanation:

hope this helps :)

Answer:

2(-2n+2)

-4n+4

() means multiply, negative times positive is negative and it keeps the variable

How do you select sample size using simple random sampling?

Answers

Using the method of simple random sampling, The answer is we select sample before collecting data.

What do you mean by random sampling?

Random sampling is a method of selecting a sample from a population in such a way that each member of the population has an equal probability of being selected. This ensures that the sample is representative of the population, and reduces bias in the sampling process. In simple random sampling, a random sample is drawn from a larger population by using random number generators, tables of random numbers, or other methods that ensure that each member of the population has an equal chance of being selected.

What are samples?

A sample is a portion or a subset of a population that is selected for the purpose of studying characteristics of the population. The sample is used to make inferences or conclusions about the population from which it was drawn. The sample is usually smaller in size than the population, and it is selected through a process called sampling. The process of sampling is used to select a sample that is representative of the population, meaning that the sample has similar characteristics as the population.

In simple random sampling, the sample size is determined before collecting data. There are several ways to determine the sample size, but one common method is to use a sample size calculation formula, such as: n = (z^2 * p * (1-p)) / e^2

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Explain why (-5)2 -52 is true.​

Answers

Step-by-step explanation:

(-5)2-52-10-52-62

hope it helps.

Answer:

(-5)2 -52-10-52-62

hope it is helpful to you

Which ratio forms a probation with 18/30
=20/35
=50/90
=36/46
=60/100

Answers

Answer:

Which ratio forms a probation with 18/30

=20/35

=50/90

=36/46

=60/100

Step-by-step explanation:

PLEASE HELP ILL GOVE BRAINLIEST!!!

a box will be used to ship number cubes. the dimensions of the box are h=6 in, width=10 in, length= 4 in. the number cubes have sides that each measure 1/2 in. how many number cubes can fit in the box?

Answers

Answer:

120

Step-by-step explanation:

Find the volume of the box by finding the area of the base then multiplying it by the height then divide by 1/2

Sue has 18 sweets
Tony also has 18 sweets
Sue gives Tony × sweets
Sue then eats 5 of her sweets
Tony then eats half of his sweets
Write expressions for the amount of sweets Tony and Sue now have

Answers

The expressions for the number of sweets that Tony and Sue now have are:

Sue = 13 - x Tony = (18 + x) / 2

What is the mathematical rationale for the above?

Given:
Sue has 18 sweets

Sue = 18

Tony also has 18 sweets, that is:

Toney = 18

Sue gives Tony × sweets; that is

Sue = 18 - x; and

Tony = 18 + x

Sue then eats 5 of her sweets, Tony then eats half of his ⇒ Sweets:

that is ⇒

Sue = 18 - x - 5

Tony = (18 + x) / 2

Thus, simplifying the above, we have:

Sue = 13 - x

Tony = (18 + x) / 2

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' I did he heard diamster of 76 ice. Whidh meekureman it dosef to the draunference of the

Answers

Since the diameter of this circle is 76 inches, a measurement which the circumference of this circle has include the following: C. 238.64 inches.

How to calculate the circumference of a circle?

Mathematically, the circumference of a circle can be calculated by using this mathematical expression:

C = 2πr or C = πD

Where:

C represents the circumference of a circle.D represents the diameter of a circle.r represents the radius of a circle.

Substituting the given parameters into the circumference of a circle formula, we have;

Circumference of circle, C = πD

Circumference of circle, C = 3.14 × 76

Circumference of circle, C = 238.64 inches.

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Complete Question:

The diameter of a circle is 76 inches. Which measurement does the circumference of this circle have?

A. 123.45 inches.

B. 438.65 inches.

C. 238.64 inches.

D. 338.64 inches.

Write and Solve an equation to determine the missing dimension of the prism with a volume of 160cm. Height is missing the numbers given are 10cm and 2cm

Answers

Shahabbsnsnsnsjwwkwksbdbd

name the solid ?m
# of faces ?
# of edges?
# of vertices?
what’s the height ?

Answers

Answer:

rectangle

6 faces

12 edges

8 vertices

10ft height

hope this helps

Marcus is shopping for pants. The available styles are boot cut (B), skinny (S), and relaxed fit (R). Make an organized list to show all possible outcomes if he buts two new pair of pants.

Answers

There are 9 possible outcomes  to buy two new pair of pants.

What is combination?

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

Given:

we have the following Styles

Boot cut (B), Skinny (S), and Relaxed fit (R).

So, if her buys two paints then the possible combination he can take as

Boot cut x Boot cut

Skinny x Skinny

Relaxed fit x Relaxed fit

Boot cut x Skinny

Boot cut  x Relaxed fit

Skinny x Relaxed fit

Skinny x Boot cut

Relaxed fit x Boot cut

Relaxed fit x Skinny

Hence, there are 9 possible ways.

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A farmer fills a rectangular water trough to a depth of 1 foot.
The trough is 4 feet long and 2 feet wide. How much water
is in the trough?

Answers

Answer:

Step-by-step explanation:

Is 8ft

Answer:

It is 8ft

Step-by-step explanation:

easy work

Find the sum of the arithmetic series 22,33,44,55,…,605

Answers

Answer:

66

Step-by-step explanation:

a^5

Answer:

16 929

Step-by-step explanation:

a1 = 22      d = 11     a 54  = 605

Sum = 54 ( 22 + 605) /2 = 16 929  

Given that $13^{-1} \equiv 29 \pmod{47}$, find $34^{-1} \pmod{47}$, as a residue modulo 47. (Give a number between 0 and 46, inclusive.)

Answers

The value would be [tex]34^{-1} \pmod{47}=30[/tex]

What is the modulus in mathematics?

In mathematics, the modulus is the remainder of the division of one number by another. It is denoted by the symbol %, or in some cases, by the symbol mod.

Given that 13^-1 ≡ 29 (mod 47), we can use this information to find the inverse of 34 mod 47. The inverse of a number modulo m is a number x such that the product of the number and its inverse is congruent to 1 mod m.

In the case of the given equation, [tex]$13^{-1} \equiv 29 \pmod{47}$[/tex] is saying that 29*13 = 377 is congruent to 1 mod 47.

We can use this congruence to find the inverse of 34 mod 47. The inverse of 34 mod 47 is the number x such that 34*x = 1 mod 47. So we can write this congruence as [tex]$34x \equiv 1 \pmod{47}$[/tex]

We can use the given congruence of 13^-1 ≡ 29 (mod 47) to find the inverse of 34 mod 47.

Since [tex]$13^{-1} \equiv 29 \pmod{47}$[/tex], we can multiply both sides of the congruence by 34 as:

[tex]$13^{-1} * 34 \equiv 29 * 34 \pmod{47}$[/tex]

Now we can substitute the right side of the equation:

[tex]$13^{-1} * 34 \equiv (13*29) \pmod{47}$[/tex]

And now we can substitute the left side of the equation:

[tex]$34^{-1} \equiv (13*29) \pmod{47}$[/tex]

And since [tex]$13*29 = 377$[/tex] this is congruent to 30 (mod 47) the inverse of 34 mod 47 is 30.

Therefore, the value would be [tex]34^{-1} \pmod{47}=30[/tex]

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The value would be 13.

What is the modulus in mathematics?

In mathematics, the modulus is the remainder of the division of one number by another. It is denoted by the symbol %, or in some cases, by the symbol mod.

We can use the property of modular inverse that

[tex]$(ab)^{-1} \equiv b^{-1}a^{-1} \pmod{m}$[/tex]

So, [tex]$(13*34)^{-1} \equiv 34^{-1} \cdot 13^{-1} \pmod{47}$[/tex]

[tex]$13^{-1} \equiv 29 \pmod{47}$\\$(13*34)^{-1} \equiv 34^{-1} \cdot 29 \pmod{47}$So, $34^{-1} \equiv (13*34)^{-1} \cdot 13 \pmod{47}$$34^{-1} \equiv 1 \cdot 13 \pmod{47}$$34^{-1} \equiv 13 \pmod{47}$[/tex]

Hence, The value would be 13.

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Express 60 as the product of its prime numbers

Answers

Answer:

60 = [tex]2^2[/tex] * 3 * 5

Step-by-step explanation:

The process of prime factorization is when one breaks up a number such that it can be represented as the product of many prime numbers. One does this by dividing the prime number by its smallest prime factor. Then one will divide the composite factor by its smallest prime factor, and so on. All of the resulting prime numbers are prime factors of the original number.

60 = 2 * 30

30 = 2* 15

15 = 3 * 5

60 = [tex]2^2[/tex] * 3 * 5

What is the distance between the points (5, 1) and (-3,-5)?

Answers

Answer:

10

Step-by-step explanation:

distance formula = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}

(x_1, y_1) = (5, 1)

(x_2, y_2) = (-3, -5)

\sqrt{ [(-3) - (5)]^2 + [(-5) - (1)]^2 }

\sqrt{ [-8]^2 + [-6]^2 }

\sqrt{ 64 + 36 }

\sqrt{ 100 }

= 10

Answer:

[tex] Distance = 10 \ u [/tex]

Step-by-step explanation:

Given :-

Two points (5,1) and (-3,-5) .

And we need to find the distance between the two points . We can use distance formula here to find the distance between the two points . The distance formula for two points ,

[tex]( x_1,y_1)[/tex][tex](x_2,y_2)[/tex]

Distance Formula :-

[tex]\implies Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Plug in the respective values ,

[tex]\implies Distance =\sqrt{\{5-(-3)\}^2+\{1-(-5)\}^2 } \\\\\implies Distance =\sqrt{ (5+3)^2+(1+5)^2}\\\\\implies Distance =\sqrt{ 8^2+6^2}\\\\\implies Distance =\sqrt{64+36}\\\\\implies Distance =\sqrt{100}\\\\\implies Distance = 10\ units [/tex]

Hence the distance between the two points is 10 units .

Help please!!!!!!!!!!!!

Answers

Answer:

a=13.2

b=21

c=36

d=9

Step-by-step explanation:

a good way to do these is to find the simplest fraction, and multiply the number over 1 (a- 1/5*11/1 =11/5=2.2) then add the number to the total you have (a- 2.2+11=13.2) I have not done these questions in a while, so they may be off by a bit, or the formula may have a mistake, hope this helps anyway. :)

Answer:

Step-by-step explanation:

A x 20%=11

so a=11/.20

a=55

b x 75%=12

b=12/.75

B=16

c X 80%=20

c=20/.80

c=25

d x 200%=18

d=18/2

d=9

The intensity level of sound, L measured in decibels (dB), is a function of the sound

intensity, S watts per square metre (W m-2). The intensity level is given by the following

formula.

(a) An orchestra has a sound intensity of 6. 4 × 10-3 Wm-2. Calculate the intensity level, L of

the orchestra.

(b) A rock concert has an intensity level of 112 dB. Find the sound intensity, S

Answers

(a) If an orchestra has a sound intensity of [tex]6.4 \times 10^-^3\ Wm^{-2[/tex], then

the intensity level of sound, L, is 98.062 dB.

(b) If a rock concert has an intensity level of 112 dB, then the sound intensity, S, is [tex]10^{-0.8}\ Wm^{-2[/tex].

Sound intensity, also known as acoustic intensity, is defined as the dominion ferried by sound waves per unit area in a direction perpendicular to that area.

Given that the intensity level of sound, L, measured in decibels (dB), is a function of the sound intensity, S, watts per square meter ([tex]Wm^{-2[/tex]) as

[tex]L = 10log_{10}(S\times10^1^2), S\geq 0[/tex]

(a) If an orchestra has a sound intensity of [tex]6.4 \times 10^-^3\ Wm^{-2[/tex], then

the intensity level of sound,

[tex]L = 10log_{10}(6.4\times10^{-3}\times10^1^2)[/tex]

   [tex]= 10log_{10}(6.4\times10^9)\\= 10(log_{10}6.4\ +\ log_{10}10^9 )\\= 10(0.8062\ +\ 9)\\=10 \times 9.8062\\= 98.062\ dB[/tex]

(b) If a rock concert has an intensity level of 112 dB, then

[tex]112 = 10log_{10}(S\times10^1^2)\\log_{10}(S\times10^1^2) = \frac{112}{10}\\log_{10}(S\times10^1^2)= 11.2\\S\times10^1^2 = 10^{11.2}\\S = \dfrac{10^{11.2}}{10^1^2} \\S = 10^{-0.8}\ Wm^{-2[/tex]

The sound intensity is [tex]10^{-0.8} Wm^{-2[/tex].

Hence, (a) L = 98.062 dB and (b) S [tex]= 10^{-0.8}\ Wm^{-2[/tex].

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Plzzz Awnser really easy points A woman can plait hair for 20 girls in 5days. How long will it take her to plaitfor 12 girls?12 x 5 = 60 60 divided by 20 = 3 It will take her 3 days to plait 12 girls . five plus two times a number n is less than or equal to eleven. select all of the representation's that are solutions.1) n less than or equal to 32) 3 less than or equal to n3) n less than or equal to 84) 3 greater than or equal to n Help ASAP need answer:) 6.The current student population of the Brentwood Student Center is 2,000. The enrollment at the center increases at a rate of 4% each year. To the nearest whole number, what will the student population be closest to in 3 years? Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of x+y,xy,y/x,y-x The length of a rectangle is 4 inches more than 4 times the width. The perimeter is 138 inches. Find the length and the width. How France is different to UAE Please list items about how the difference is . Why were Romanesque churches built? What was the main purpose of the Second Continental Congress? Which of the following campaigns were fought using the total war strategy?Shenandoah Valley CampaignShermans March to the SeaSiege of Petersburg The graph represents the amount of energy in thereactants and products of a chemical reaction.If total energy is conserved, which statementexplains why the energy of the reactants does notequal the energy of the products?EnergyEnergy of Energy ofReactants ProductsA.The reaction is exothermicB. The reaction is endothermic.C. The reaction requires a catalyst.DThe reaction has a low activation energy. 5. A study conducted in North Carolina on weight gain during pregnancy. According to data from the entire registry (population), the number of pounds gained during pregnancy was approximately normally distributed with a mean of 0.23 pounds and a standard deviation of 13.84 pounds. Calculate the probability that a randomly selected mother in North Carolina gained weight PLEASE HELP 5 of 5A, B & C form a triangle where Z BAC = 90,AB = 2.6 mm and CA = 14.2 mmFind the length of BC, giving your answer rounded to 1 DP.BC =mmPLEASE HELP The city of Amsterdam is 2 meters below sea level. Lammefjord, a city in Denmark, is 7 meters below sea level. How much higher is Amsterdam than Lammefjord?To solve the problem, Elizabeth subtracted 2(7) and came up with an answer of 5. Is Elizabeth correct? Why or why not? There are two options for question 4, choose one question to answer. What is Sociology?What is Social structure?What is the difference between the Gallup Poll and their survey on crime and the Justice Department survey on crime?Create a diagram/matrix labeling both horizontal and and vertical structures and your place within it. (2 points) OR Sociologist C. Wright Mills emphasized that social structure lies at the root of private troubles, and that what people may define as private troubles may be more accurately described as public issues, if these problems affect large number. What personal troubles have you encountered that may also be public issues? (2 points)Helppp pleaseeee A 6.8 L sample of gas is collected at a pressure of 0.91 atm. What will the Volume of the gas occupy at 1.0 atm if the temperature remains constant? Drawing from your culture lessons and at least one Spanish language resource, write a one paragraph summary report on a significant event, movement, or historical figure from either Peru, Costa Rica, Bolivia, or Argentina. You may search the internet for articles, newspapers, books, other media, use books from the library, or any other Spanish language source you choose. In your summary report you should also discuss what you learned or realized from your research. Also, be sure to cite your Spanish sources of information.Your response must contain at least 5 detailed and complete sentences in Spanish. You will be graded on (a) appropriate use of grammar and vocabulary, (b) completeness and detail of the response, and (c) overall quality of the response. Why did the British decide to leave Boston for Halifax in March of 1776? what are some possible solutions where both Serbia and kosovo are satisfied with kosovos pursuit of self determination?