PLZ HELP, first person to answer and get it right, I will name BRAINLIEST! and Maybe friend you?(: Thxs appreciate it! (:

PLZ HELP, First Person To Answer And Get It Right, I Will Name BRAINLIEST! And Maybe Friend You?(: Thxs
PLZ HELP, First Person To Answer And Get It Right, I Will Name BRAINLIEST! And Maybe Friend You?(: Thxs
PLZ HELP, First Person To Answer And Get It Right, I Will Name BRAINLIEST! And Maybe Friend You?(: Thxs
PLZ HELP, First Person To Answer And Get It Right, I Will Name BRAINLIEST! And Maybe Friend You?(: Thxs
PLZ HELP, First Person To Answer And Get It Right, I Will Name BRAINLIEST! And Maybe Friend You?(: Thxs

Answers

Answer 1

Answer:

f(3) = g(3)

The last 4 answer are below in bold.

Step-by-step explanation:

The graphs intersect at the point where x = 3.

f(3) and g(3) mean the value of f(x) and g(x) when x = 3.

f(3) and g(3) are both equal to 6 at this point , so f(3) = g(3).

f(2) = 0 and g(-2) = 0

Both cost the same for 50 texts.

h(x) = 1/4 x

When x = 10,  f(x) = 10/2 + 8 = 13.


Related Questions

Based on data collected by the National Center for Health Statistics and made available to the public in the Sample Adult database (A-5), an estimate of the percentage of adults who have at some point in their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 20 U.S. adults and assume that the probability that each has been told that he or she has hypertension is .24, find the probability that the number of people in the sample who have been told that they have hypertension will be:

Answers

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

Based on data collected by the National Center for Health Statistics and made available to the public in the Sample Adult database (A-5). an estimate of the percentage of adults who have at some point in their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 20 U.S. adults and assume that the probability that each has been told that he or she has hypertension is .24. find the probability that the number of people in the sample who have been told that hypertension will be: a) Exactly three (b) Three or more (c) Fewer than three (d) Between three and seven, inclusive

Solution:

This is a binomial probability distribution. If an adult is selected randomly, the outcome is either he has been told that he has hypertension or he has not been told. The probability of success, p would be that a randomly selected adult, x has been told. Therefore,

p = 0.24

n = 20

a)We want to determine P(x = 3). From the binomial probability distribution calculator,

P(x = 3) = 0.15

b) P(x ≥ 3) = 0.89

c) P(x < 3) = 0.11

d) P(3 ≤ x ≤ 7)

It would be P(x ≤ 7) - P(x ≥ 3)

P(x ≤ 7) = 0.92

Therefore,

P(3 ≤ x ≤ 7) = 0.92 - 0.89 = 0.03

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

D.

Step-by-step explanation:

As long as the function's largest power is two, it is a quadratic function.

a. (3x - 2)(4x + 7)

= 12x^2 - 8x + 21x - 14

The largest power is 2. This is a quadratic function.

b. 7x^2 + 8x

The largest power is 2. Quadratic function.

c. (2x - 1)^2

= 4x^2 - 4x + 1

Largest power is 2. Quadratic function.

d. 8x^4- 3x^3 + 5x^2

Largest power is 4. Non-quadratic function.

Hope this helps!

y=(x+1)(x-3) plot the x-intercept of the function

Answers

Answer:

The two x-intercepts are (-1, 0) and (3, 0).

Step-by-step explanation:

Set each factor = to 0 and solve for x:

x + 1 = 0 => x = -1.  One x-intercept is thus (-1, 0).

x - 3 = 0 => x = 3.  The other x-intercept is (3, 0).

in the given figure angle 1 is equal to angle 2 then the measurements of angle 3 and angle 4 are​

Answers

Answer:

(3) =  119

(4) =  119

Step-by-step explanation:

Given isosceles triangle with vertex angle 58.

Need exterior angles of base angles 1 & 2.

Solution:

Vertex angle = 58.

Base angle = x

Sum of triangles = 180 =>

x + x + 58 = 180

Solve for x

x = (180-58)/2 = 122/2 = 61

Exterior angles are supplementary to interior (base) angles, so

(3) = 180-(1) = 180 - 61 = 119

(4) = 180-(2) = 180 - 61 = 119

* note: supplementary means sum of two angles = 180.

The measurements of angle 3 and angle 4 are​ 119degrees and 119degrees respectively.

The sum of the interior angle of the triangle is 180degrees.

According to the diagram shown:

m<1 + m<2 + 58 = 180

Since <1 = <2, hencce:

m<1 + m<1 + 58 = 180

2m<1 = 180 - 58

2m<1 = 122

m<1 = 122/2

m<1 = 61 degrees

Since <1 = <2, thereofore m<3 = m<4

Get the measure of m<3

m<1 + m<3 = 180 (supplementary angles)

61 + m<3 = 180

m<3 = 180 - 61

m<3 = 119 degrees

Recall that m<3 = m<4, hence m<4 = 119degrees

The measurements of angle 3 and angle 4 are​ 119degrees and 119degrees respectively.

Learn more here: https://brainly.com/question/21680544

help please urgent!!PLEASE HELP!! Determine an equation for the family of cubic functions, in simplified form, with the following zeroes: [tex]2+-\sqrt3}[/tex] and -4.

Answers

Answer:

3c+3

2c+c+3

Step-by-step explanation:

Got it mostly wrong bec of bad setup

In the diagram, m M А
E
B
C
D

Answers

Answer:

The angle is 65°

Step-by-step explanation:

The angle is 65°

Angle is 65 degrees, hope it helps

[tex](\frac{15}{17},\frac{8}{17}[/tex]

Answers

The answer is =  1

[tex]\left(\frac{15}{17},\:\frac{8}{17}\right)[/tex]

[tex]\sqrt\left(\frac{15}{17})^2,\:(\frac{8}{17}\right)^2[/tex]

simply = 1

Factorize: 9(2a – b)^2 – 4(2a – b)

Answers

Answer:

(2 a - b) (18 a - 9 b - 4)

Step-by-step explanation:

Factor the following:

9 (2 a - b)^2 - 4 (2 a - b)

Factor 2 a - b out of 9 (2 a - b)^2 - 4 (2 a - b):

(2 a - b) (9 (2 a - b) - 4)

9 (2 a - b) = 18 a - 9 b:

Answer: (2 a - b) (18 a - 9 b - 4)

In 2009 the bureau of labor statistics reported a surge in volunteerism. At this time there were a reported 63,361 volunteers in the us. The pie chart below shows the different categories in which these people volunteered. Find the number of people who volunteered in an educational capacity. Round your answer to the nearest whole number

Answers

Answer:

16,537

Step-by-step explanation:

Total Number of Volunteers in the US =  63,361

The pie chart for the question has been reproduced and attached below.

From the pie chart

Percentage of people who volunteered in the educational capacity = 26.1 %

Therefore, the number of people that volunteered in the educational capacity

=26.1% of 63,361

=0.261 X 63,361

=16,537 (to the nearest whole number)

Number of people who volunteered in an educational capacity is 16,537 people.

Pie chart and percentage based problem:

What information do we have?

Total number of volunteers = 63,361

Number of people who volunteered in an educational capacity = Total number of volunteers × Percentage of educational

Number of people who volunteered in an educational capacity = 63,361 × 26.1%

Number of people who volunteered in an educational capacity = 16,537.2

Number of people who volunteered in an educational capacity = 16,537

Find out more information about 'Percentage'.

https://brainly.com/question/14979505?referrer=searchResults

Hi everyone please help me with two questions,THX...this is for 6th grade

Answers

Answer:

A. 12 for every 7

Step-by-step explanation:

There are 12 peas in her bowl.

There are 7 peas in her hair.

The ratio of peas in her bowl to peas in her hair is 12 for every 7.

Write "3 divided by n to the fifth" as an expression.
A. 3/n^5
B. (5/n)3
C. 5/n^3
D. (3/n)5

Answers

Answer:

The answer is option A.

[tex] \frac{3}{ {n}^{5} } [/tex]

Hope this helps you

The expression for " 3 divided by n to the fifth" is given by

[tex]\frac{3}{n^{5} }[/tex].

What is expression?

An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

According to the given question.

We have a statement

" 3 divided by n to the fifth"

Since, n to the fifth can be written as [tex]n^{5}[/tex].

Therefore,

the expression for " 3 divided by n to the fifth" is given by

[tex]\frac{3}{n^{5} }[/tex].

Thus, option A is the correct.

Find out more information about expression here:

https://brainly.com/question/14083225

#SPJ3

What is the sum of the fractions? Use the number line and equivalent fractions to help find the answer. Negative 1 and one-fourth + one-half A number line going from negative 3 to 0 in increments of one-fourth. Negative 1 and three-fourths Negative 1 and one-half Negative three-fourths Negative one-half

Answers

Answer:

C. Negative three-fourths

Step-by-step explanation:

Given two fractions -1 1/4 and 1/2, the sum of the fractions is expressed as shown below:

-1 1/4 + 1/2

Converting the improper fraction -1 1/4 to mixed fraction will give -5/4. The expression will now become:

-5/4 + 1/2

Taking the LCM of the expression

= (-5+2)/4

= -3/4

Hence the sum of fraction Negative 1 and one-fourth and one-half is negative three-fourths

Answer:

-3/4

Step-by-step explanation:

-1 1/4 +1/2

-5/4    +    2/4

-3/4

Which of the following is not meaningful _________.(a) XIV (b) XXXV (c) XXV (d) VX

Answers

Answer:

VX

Step-by-step explanation:

V=5

X=10

We cannot write 5 before 10

If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude of 6,
what is the relationship between the intensities of the two earthquakes?

Answers

Answer:

sister and brother

State whether the data described below are discrete or continuous, and explain why The durations of movies in minutes A Choose the correct answer below OA. The data are continuous because the data can take on any value in an interval. St O B. The data are continuous because the data can only take on specific values OC. The data are discrete because the data can take on any value in an interval. O D. The data are discrete because the data can only take on specific values. G D

Answers

Answer:

D. The data are discrete because the data can only take on specific values.

Step-by-step explanation:

Continuous variables are variables that can take on any value in an interval. Examples of continuous variables are length, time, etc.

Discrete variables on the other hand are variables that can only take on specific values.

The durations of movies in minutes can only take on integer values from 0 to 60. Therefore, it is a discrete data.

The correct option is D.

Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the most ice cream for their money. If w = 2.5 in, x = 5 in, y = 5 in, z = 3 in, and the cone and cup are filled evenly to the top with no overlap, which container will hold the most ice cream? Use 3.14 for π, and round your answer to the nearest tenth.

Answers

Answer:

The cup holds 26.2 in3 more ice cream than the cone.

Step-by-step explanation:

1. Let's find the volume of ice cream that the cone holds, this way:

Volume = π * r² * h/3

Replacing with the real values, we have:

Volume = 3.14 * 2.5² * 5/3

Volume =32.7 inches³

2. Let's find the volume of ice cream that the cup holds, this way:

Volume = π * r² * h

Diameter = 5 inches ⇒ Radius = 2.5 inches

Replacing with the real values, we have:

Volume = 3.14 * 2.5² * 3

Volume =58.9 inches³

3. Let's find the difference, this way:

Volume of the cup - volume of the cone = 58.9 - 32.7 = 26.2 inches³

The cup holds 26.2 in³  more ice cream than the cone.

Simplify the following expresion. Classify the resulting polynomial 4x(x+1)-(3x-8)(x+4) A) quadratic monomial B) quadratic trinomial C) quadratic binomial D) linear binomial

Answers

Answer:

Quadratic binomial

Step-by-step explanation:

4x(x+1) - (3x-8)(x+4)

Open parenthesis

(4x^2+4x) - (3x^2+12x-8x-32)

(4x^2+4x - 3x^2-12x+8x+32)

Collect like terms

4x^2-3x^2+4x+8x-12x+32

=x^2+32

Quadratic binomial

Answer:

B. Quadratic trinomial

Step-by-step explanation:got it right on Pluto hope it helps

What is the Greatest common divisor of 378 and 420?

Answers

Answer:

42

Step-by-step explanation:

When calculating the greatest common divisor, you must look for the smallest divisors that can divide the no. s given simultaneously.

So in this case the smallest divisor will be 2.

378 =189. 420 =210

2. 2

The next divisor that 189 and 210 can both be divided with is 3

189 =63. 210 =70

3. 3

The third smallest divisor that can 63 and 70 can be divided with is 7

63 =9. 70 =10

7. 7

9 and 10 have no common divisors that can divide them fully without leaving a remainder

So to get the greatest common divisor, multiply all the divisors you have used

In this case we've used 2,3,7

2x3x7= 42

PLZZZZZZZZZZ HLPPPPPPPPP MEEEEEEEEEE what is the factorization of the polynomial graphed below? assume it has no constant factor. write each factor as a polynomial in descending order.

Answers

Answer:

(x-5)(x-8)(x+2)=0

Step-by-step explanation:

first look at the x intercept to find the factor

x:-2,5,8

x=-2 then x+2=0

x=5 then x-5=0

x=8 then x-8=0

(x-5)(x-8)(x+2)=0

check for y in the polynomial when x=0

x^3-11x^2+14x+80

x=0 y=80 ( correct according to the graph

root( x-1 ) = 2 - root (x+3)

Answers

Answer: x = 4

Explanation: root x-1 = 2- root x+3
First let’s take out the root by square both side by 2 we get:
x-1= 4-x+3
x-1 = -x+7
x+x = 7+1
2x= 8
x= 8/2=4

Answer:

[tex]x=1[/tex]

Step-by-step explanation:

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

Square both sides.

[tex]\left(\sqrt{x-1}\right)^2=\left(2-\sqrt{x+3}\right)^2[/tex]

[tex]x-1=x+7-4\sqrt{x+3}[/tex]

Subtract x on both sides.

[tex]x-1-x=x+7-4\sqrt{x+3}-x[/tex]

[tex]-1=-4\sqrt{x+3}+7[/tex]

Subtract 7 on both sides.

[tex]-1-7=-4\sqrt{x+3}+7-7[/tex]

[tex]-8=-4\sqrt{x+3}[/tex]

Square both sides.

[tex]\left(-8\right)^2=\left(-4\sqrt{x+3}\right)^2[/tex]

[tex]64=16x+48[/tex]

Subtract 48 on both sides.

[tex]64-48=16x+48-48[/tex]

[tex]16=16x[/tex]

Divide both sides by 16.

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

[tex]1=x[/tex]

Switch sides.

[tex]x=1[/tex]

Hey everyone, can you please help me with this question? THANKS!

Answers

Answer:

6 granite, 3 marble, 14 sandstone, 1 slate

ratio of sandstone to marble

how many sandstone does she have .....14

how many marble does she have......3

so the ratio would be 14:3

Answer:

C. 14:3

Step-by-step explanation:

Dana has 14 pieces of sandstone.

Dana has 3 pieces of marble.

The ratio of pieces of sandstone to pieces of marble is 14:3.

The ratio cannot be simplified further.

The histogram shows the prices for six-packs of adult socks and six-packs of kid socks at a store. What is true about the variability of the prices of socks in kid sizes or adult sizes?

Answers

Answer:

a. There is more variability in the prices of kid socks because they have a greater range.

Step-by-step explanation:

A measure of variability is a summary statistic that represents the amount of dispersion in a dataset. Common examples are range, interquartile range (IQR), variance, and standard deviation.

From the histogram

Highest Number of Packs of Adult Socks = 7

Lowest Number of Packs of Adult Socks = 5

Range = 7 - 5 =2

Highest Number of Packs of Kid Socks = 7

Lowest Number of Packs of Kid Socks = 4

Range = 7-4 = 3

We conclude that there is more variability in the prices of kid socks because they have a greater range.

The correct option is A.

Answer:

A: Range

Step-by-step explanation:

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One positive integer is 1 greater than 3 times another positive integer. If the product of the two integers is 154, then what is the sum of the two integers?

Answers

Answer:

29

Step-by-step explanation:

Let the smaller integer be x.

The other integer is 1 greater than 3 times x, or 3x + 1.

The product is 154.

x(3x + 1) = 154

3x^2 + x - 154 = 0

157 = 2 * 7 * 11

14 * 11 = 154

22 * 7 = 154

(3x + 22)(x - 7) = 0

3x + 22 = 0 or x - 7 = 0

3x = -22 or x = 7

x = -22/3 or x = 7

-22/3 is not a positive integer, so we discard that solution.

The smaller integer is 7.

3x + 1 = 3(7) + 1 = 22

The greater integer is 22.

The sum of the integers is 7 + 22 = 29

Answer: 29

Step-by-step explanation:

The prime fatorization of a number is 2×2×3×7×7.Is the number a perfect square? How do you know​

Answers

Hey there! I'm happy to help!

A perfect square is a number whose prime factors can be multiplied together to obtain two identical factors.

Look at 64. It's prime factors are 2×2×2×2×2×2. If we multiply these 2's together to obtain two identical numbers, then 64 is a perfect square.

We see that there are six twos being multiplied. So, that means we have two groups of three twos, and since they both have three twos, they are identical! Three twos multiplied is 8, and 8²=64. Pretty cool right?

Now, we need to find identical groups of these numbers. We have two sevens, two 2's and one three. We could have two groups with one 7 and one 2, but this extra 5 would throw it off balance, so we cannot obtain two equal numbers from this.

Therefore, this number is not a perfect square.

I hope that this helps! Have a wonderful day!

what is the rule of the rectangle tell me plz

Answers

For area : width x length

For perimeter : (2 x width) + (2x length)

Answer:

The formula for perimeter is 2l+2w, where l is the length and w is the width.

The formula for area is lw, where l is the length and w is the width.

Joe takes out a 30-year fixed rate amortized loan for 220,000, and makes equal size payments at the end of each month. The rate is quoted as being an annual nominal interest rate of 5.25% compounded monthly and Joe also has to pay closing fees equal to 5% of the value of the loan. Based on this information, find the actual interest rate realized by Joe (i.E. Taking into account the loan given to Joe and the 5% that he pays for the closing fees). Give the value as an annual nominal rate compounded monthly, and round your percent answer to two decimal places.

Answers

Answer:

Annual Interest Rate, r  = 5.69%

Step-by-step explanation:

Amount of loan taken = 220,000

Closing fee is 5% of the loan value

Closing fee = 5% of 222,000 = 0.05 * 220000 = 11000

Therefore, Principal, P = Loan amount + closing fee

P = 220000 + 11000

P = 231, 000

Annual rate, r= 5.25% = 0.0525

Monthly rate, i = 0.0525/12 = 0.004375

Time, n = 30 years = 30*12 = 360 months

The monthly payment will be calculated by:

[tex]PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\PMT = \frac{231000 * 0.004375}{1 - (1 + 0.004375)^{-360}} \\\\PMT = 1275.59[/tex]

Assuming payments are made based on 220,000, let us calculate the monthly interest rate.

[tex]PMT = \frac{P*i}{1 - (1 + i)^{-n}} \\\\1275.59 = \frac{220000 * i}{1 - (1 + i)^{-360}} \\\\i = 0.00474229[/tex]

Annual rate, r = 12 * 0.0047429

r = 0.0569 = 5.69%

Calculate the equation of the line through the points (1, 1), (4,3), (10, 7) and (40, 27).​

Answers

Answer:

y = 2/3x + 1/3

Answer:

y = 2/3x + 1/3

Step-by-step explanation:

Find the number of terms in this polynomial 7b^7

Answers

Answer:

1

Step-by-step explanation:

The number of terms in the polynomial;

7b^7

The number of terms in this polynomial is simply 1

Since the two are together, they are treated as a single term in the polynomial.

Take for example a quadratic polynomial;

3x^2 + 2x + 1

This is a polynomial with 3 terms.

All multiplications are treated as a single unit.

This is the case in terms of what we have too

Smplify the radical expression. How many different ways can you write your answer?

Answers

Answer:

[tex]2xy\sqrt[3]{2x^2z}[/tex] and [tex]2xy(2x^2z)^{\frac{1}{3}}[/tex].

Step-by-step explanation:

The given radical expression is

[tex]\sqrt[3]{16x^5y^3z}[/tex]

We have to simplify the above expression.

The above expression can be written as

[tex]\sqrt[3]{(2\times 8)(x^{3+2})y^3z}[/tex]

[tex]\sqrt[3]{(2\times 2^3)(x^3\times x^2)y^3z}[/tex]    [tex][\because a^{m+n}=a^ma^n][/tex]

[tex]\sqrt[3]{(2^3x^3y^3)(2x^2z)}[/tex]

[tex]\sqrt[3]{(2xy)^3}\sqrt[3]{2x^2z}[/tex]    [tex][\because (ab)^m=a^mb^m][/tex]

[tex]2xy\sqrt[3]{2x^2z}[/tex]    [tex][\because \sqrt[n]{x^n}=x][/tex]

It can be written as exponent form.

[tex]2xy(2x^2z)^{\frac{1}{3}}[/tex]    [tex][\because \sqrt[n]{a}=a^{\frac{1}{n}}][/tex]

Therefore, the required expressions are [tex]2xy\sqrt[3]{2x^2z}[/tex] and [tex]2xy(2x^2z)^{\frac{1}{3}}[/tex].

Which graph represents the scenario? PLEASE HELP VERY EASY

Answers

Answer:

The answer is option B.

The second graph.

Hope this helps you

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A waiter fills your water glass with ice water (containing many ice cubes) such that the liquid water is perfectly level with the rim of the glass. As the ice melts, 4+4 is............... How can you solve for x in the proportion StartFraction 7 over 8 EndFraction = StartFraction x over 24 EndFraction? Set the sum of 7 and 8 equal to the sum of 24 and x, and then solve for x. Set the sum of 7 and 24 equal to the sum of 8 and x, and then solve for x. Set the product of 7 and 8 equal to the product of 24 and x, and then solve for x. Set the product of 7 and 24 equal to the product of 8 and x, and then solve for x. who is the first vice president of Ghana? A car is running at the speed of 45km/hr see a child 25 meter ahead and suddenly apllies a brakes. If the retradation of the car is 2 meter per second square,is the child spared? Select the correct answer. Wayne plays multiple instruments in a rock band. He also composes the songs. He takes 36 weeks to write the songs for an album of 12 songs. If you assume he takes an equal amount of time to compose each song and graph this relationship with the number of weeks on the x-axis and the number of songs on the y-axis, what is Wayne's unit rate for composing a song? Describe how u would separate a mixture of salt , sand and iodine into different components. please help i will give a brainliest for this . PLEASE HELP? united services and supplies reports net income of $100000 and cost of goods of $353000. If US&S's gross profit rate was 30%, net sales were A sample of a pure compound that weighs 60.3 g contains 20.7 g Sb (antimony) and 39.6 g F (fluorine). What is the percent composition of fluorine Plz help me 3(x+1)=5+x Danny lowers the sails on his boat. He paddles upstream at 19 km/hr. The current is still running downstream at 15 km/hr. What is the actual velocity of the boat? Which is a true statement about an exterior angle of a triangle?A. It is formed by two segments that are sides of the triangle.B. It forms a linear pair with one of the interior angles of the triangle.C. It is formed by two segments that are not sides of the triangle,D. It is complementary to one of the interior angles of the triangle. Has the Clements successional theory been subjected to peer review and publication? Driving is expensive. Write a program with a car's miles/gallon (as float), gas dollars/gallon (as float), the number of miles to drive (as int) as input, compute the cost for the trip, and output the cost for the trip. Miles/gallon, dollars/gallon, and cost are to be printed using two decimal places. Note: if milespergallon, dollarspergallon, milestodrive, and trip_cost are the variables in the program then the output can be achieved using the print statement: print('Cost to drive {:d} miles at {:f} mpg at $ {:.2f}/gallon is: $ {:.2f}'.format(milestodrive, milespergallon, dollarspergallon, trip_cost)) Ex: If the input is: 21.34 3.15 Status: Not yet answered | Points possible: 1.00A sample of chlorine gas starting at 681 mm Hg is placed under a pressure of 992 mm Hg and reduced to a volume of 543.8 mL.What was the initial volume, in ml, of the chlorine gas container if the process was performed at constant temperature?Type answer: For all 5 problems in this assignment, use the following functions:f(x) = x + 5g(x) = x2 4x + 5h(x) = 3x2 - 2x + 5Match the function with its value.(f+g)(x)Choose...(f*h)(x)Choose...h[f(5)] -g[h(1)] Choose... Consider a conducting rod of length 31 cm moving along a pair of rails, and a magnetic field pointing perpendicular to the plane of the rails. At what speed (in m /s) must the sliding rod move to produce an emf of 0.75 V in a 1.75 T field? Read the excerpt from Letters of the Late Ignatius Sancho, An African. My chief pleasure has been books.Philanthropy I adore.How very much, good Sir, am I (amongst millions) indebted to you for the character of your amiable uncle Toby!I declare, I would walk ten miles in the dog-days, to shake hands with the honest corporal.Your Sermons have touch'd me to the heart, and I hope have amended it, which brings me to the point. What is Sanchos attitude toward Sternes writing in this excerpt? suspicious and critical respectful and humble impolite and annoyed playful and amused Calculate the pressure produced by a force of 1500 N acting on an area of 6 m2 A small regional carrier accepted reservations for a particular flight with 17 seats. 14 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 52% chance.A. Find the probability that overbooking occurs. B. Find the probability that the flight has empty seats.