Set up the form for the partial fraction decomposition. Do not solve for A, B, C, and so on.

Set Up The Form For The Partial Fraction Decomposition. Do Not Solve For A, B, C, And So On.

Answers

Answer 1

Answer:

For part a you would decompose the fraction into two independent fractions with the following form:

() = ()/( x^2+5)(x ^2+3x−4)  = (Ax + B)/(x^2+5) + (Cx + D)/(x ^2+3x−4)

Combining these fractions we get:

((Ax + B)*(x ^2+3x−4) + (Cx + D)*( x^2+5))/( x^2+5)(x ^2+3x−4) = ()/( x^2+5)(x ^2+3x−4)

Thus we can say: (Ax + B)*(x ^2+3x−4) + (Cx + D)*( x^2+5) = ()

You then simplify the equation on the left by combining like terms and solve the system of equations that arise corresponding with ().

You would follow a similar process for part b as well.

Step-by-step explanation:


Related Questions

How do I solve this.

Answers

Answer:

Step-by-step explanation:

if a factory can make 600 nails every 3 minutes, how long would it take to make 27,000 nails?

Answers

Answer:

2 hours 15 minutes

Step-by-step explanation:

Conditions Given:A factory makes 600 nailsFor making 600 nails the factory takes 3 minutesTo Find:Time taken by the factory to make 27000 nailsSolution:

Given,

No. of nails the factory makes = 600

Time taken by the factory to make 600 nails = 3 minutes

So,

Time taken by the factory to make 1 nail = [tex]\frac{3}{600}[/tex] minutes

Time taken by the factory to make 27000 nails

= ( [tex]\frac{3}{600}[/tex] × [tex]27000[/tex] ) minutes

[On simplifying]

= ( [tex]\frac{1}{2}[/tex] × [tex]270[/tex] ) minutes

[On further simplifying]

= 135 minutes

Or,

As we know ,  [ 1 minute =  [tex]\frac{1}{60}[/tex] hour]

So, 135 minutes = [tex]\frac{135}{60}[/tex] hours

[On simplification]

= 2.25 hours

Now, [1 hour = 60 minutes]

0.25 hours = [tex]\frac{1}{4}[/tex] hours

= [tex]\frac{1}{4}[/tex] × 60 minutes

= 15 minutes

Hence,

The time taken by the factory to make 27000 nails is 2 hours 15 minutes (Ans)

Answer:

2.25 hours or 2 hours 15 minutes

Step-by-step explanation:

600 nails / 3 minutes = 200 nails / minute

27,000 nails / 200 nails/minute = 135 minutes

1 hour = 60 minutes

135 minutes × 1 hour / 60 minutes = 2.25 hours

2.25 hours = 2 hours  + 0.25 hours × 60 minutes/hour = 2 hours 15 minutes

Answer: 2.25 hours or 2 hours 15 minutes

help meeeeeeeeeeeeeeeeee please

Answers

Answer:

x= 3.4

x+2= 5.4

x+3= 6.4

Step-by-step explanation:

Just figured it out :)

Need the answer for this

Answers

Answer:

x = 41.5

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2x + 9 + x + 13 + x - 8 = 180 , that is

4x + 14 = 180 ( subtract 14 from both sides )

4x = 166 ( divide both sides by 4 )

x = 41.5

⇒The sum of the interior angles of a triangle is 180°

⇒Meaning (2x+9)°+(x-8)°+(x+13)°=180°

⇒Simplify the above equation to find the value of x.

[tex]2x+x+x+9-8+13=180\\4x+14=180\\4x=180-14\\4x=166\\\frac{4x}{4} =\frac{166}{4} \\x=41.5[/tex]

∴ x=41.5

We write numbers using only the digits 1,3,6 and 9 and arrange them in order. Our list begins 1,3,6,11,13,16,19,31,33 and so on. How many numbers do we write which are smaller than 2022?

Answers

Step-by-step explanation:

you made a typo.

since we are using only the digits 1, 3, 6 and 9, the list has to start

1, 3, 6, 9, 11, 13, 16, 19, 31, 33

it has to continue with

36, 39

we can skip the 40s and 50s and have then

61, 63, 66, 69

we can skip the 70s and 80s and have then

91, 93, 96, 99

that means we have 20 (5×4) numbers for the first 100.

we would have the corresponding 20 numbers in the 100s. like 101, 103, ...

but we have to skip 101, 103, 106, 109, because they contain 0.

so, it is only 16 numbers in the 100s.

there are none in the 200s.

then again 16 in the 300s. and the 600s and 900s.

so, we have

20 + 4×16 = 84 numbers in the first 1000.

then we have

16 in each the 1100s, the 1300s, the 1600s and 1900s.

and we have none in the 2000s.

so, in total we have

84 + 4×16 = 84 + 64 = 148 numbers to write.

Write a function that describes the area of the water puddle on the floor as a function of its radius. Use function notation

Answers

The formula that plots the radius against the area of such water puddle here on floor; A = πr².

Describe the term surface area?The area is the area occupied by just a two-dimensional flat surface. It has a square unit of measurement. The surface area of a three-dimensional object is the space occupied by its outer surface. A three-dimensional structure with parallel circular bases is characterized as a TA cylinder. There are no vertices on it. Area of three-dimensional shapes mainly refers to surface area.

For the given question,

Let the area of the water puddle on the floor be 'A'.

Let the radius of the water puddle be 'r'.

Then, using the area of the circle,

The function for the area of the water puddle be,

A = πr²

Thus, the formula that plots the radius against the area of such water puddle here on floor; A = πr².

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What is the measurement of segment PR?

Answers

Answer:

The first measurement is known as the "P-R interval" and is measured from the beginning of the upslope of the P wave to the beginning of the QRS wave. This measurement should be 0.12-0.20 seconds, or 3-5 small squares in duration.

Step-by-step explanation:

...

Will mark brainliest!
Determine the quadratic function of the form f(x)= a(x - h)² + k whose graph is given on the
right.

Answers

By using the vertex and the given point, we will see that the graphed quadratic equation is:

y = -(x - 2)^2 + 4

How to find the equation for the quadratic equation?

A quadratic equation with a leading coefficient a and a vertex (h, k) can be written as:

y = a*(x - h)^2 + k

Here the vertex is (2, 4), replacing that we get:

y = a*(x - 2)^2 + 4

Now we also can see that the line passes through the point (0, -8), replacing these values we get:

-8 = a*(0 - 2)^2 - 4

-8 = 4a - 4

-8 + 4 = 4a

-4 = 4a

-4/4 = a

-1 = a

The quadratic equation is:

y = -(x - 2)^2 + 4

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whats the answer.......................

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The statement that describes the x-intercept of the graph is: c. the x-intercept is 60 and it represents the number of monthly payment that is needed to repay the loan.

What is the X-intercept of a Linear Relationship?

The x-intercept of a linear relationship between variable x and y can be described as the value of x when the value of y is zero.

On a graph, the x-intercept is the point on the graph where the line intercepts the x-axis. The value of y at this point is 0.

in the graph that shows a linear relationship between the number of monthly payments made and the remaining balance left on a loan, the line intercepts the x-axis at 60.

Therefore, it means: c. the x-intercept is 60 and it represents the number of monthly payment that is needed to repay the loan.

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can you give me an answer i don't know how to do this

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Answer:

It should be ≈ 6,6

calculated the angle <CAB and both are 90°. But that would mean BC is wrong

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help meeeeeeeeeeeeeeeeeee pleaseeee rn rnnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

The time taken to reach the maximum height is 1.25 seconds and the maximum height is 32 feet

The function is given that

h(t) =  + 40t + 7

Where h is the height

t is the time taken

We know

[tex]-16t^2[/tex] + bx + c = 0

Compare the equations

a = -16

b = 40

c = 7

Compare both the equation

Time taken to reach maximum height = - b/2a

= - 40/2(-16)

= - 40/-32

= 5/4

= 1.25 seconds

Time taken to reach maximum height is t = 1.25 seconds

Substitute the value of t in the function to find the maximum height

h(1.25) = -16× + 40(1.25) + 7

= -25 + 50 + 7

= 32 feet

Hence, the time taken to reach the maximum height is 1.25 seconds and the maximum height is 32 feet

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the number of homes sold by a realtor during a month has the following probability distribution: number sold probability 0 0.20 1 0.40 2 0.40 what is the probability that the realtor sells no more than one house during a month?

Answers

The probability that the retailer sells no more than one house in a month is 0.60.

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes and how likely they are to happen. The analysis of events governed by probability is called statistics.

The given is a probability distribution. The probability density function or PDF of the probability is defined for the random variable x, where x ranges from 0 less than or equal to x less than or equal to 2 ie the range of x is from 0 to 2 with 0 and 2 inclusive.

x    :      0          1           2

p(x):   0.20    0.40     0.40

The probability that the retailer sells no more than one house in a month is given by

P(x less than or equal to one) = P(0) + P(1)

=0.20 + 0.40 = 0.60.

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Given that D( x ) = 2 x , select all of the following that are true statements. D( x ) is a direct variation. D( x ) is a function. D( x ) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). x is the dependent variable. D(6) = 3 1 Attempts Remain

Answers

D( x ) function and also a rule for the set of points (5, 10), (6, 12), and (-2, -4). Both the statment is true.

Given that,
Among the options which statment best represents the expression D(x) = 2x is to be determined.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

here,
D(x) = 2x

As from the observation D(x) is a function of the independent variable x.
Also,
At x = 5, 6, -2
D(x) = 10, 12, -4
So it is also a rule for the set of points (5, 10), (6, 12), and (-2, -4).

Thus, the D( x ) function and also a rule for the set of points (5, 10), (6, 12), and (-2, -4). Both the statment is true.

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A 2-pint carton of non-dairy creamer costs $3.36. What is the price per cup?​

Answers

Answer:

$6.72

Step-by-step explanation:

1 us liquid pint =2 us cups


3.36*2 cups

Which of the following best describes the ordered pairs listed below? (-2, -1), (1, -4), (5, -8), (9, -12) A. function only B. both a relation and a function C. relation only D. neither a relation nor a function

Answers

Since each input is mapped to only one output, the best description of the ordered pairs is given by:

B. both a relation and a function.

When does a relation represents a function?

A relation represents a function if each value of the input is mapped to only one value of the output.

For a point in the format (x, y), we have that:

=> x is the input.

=> y is the output.

=> The meaning is that the input x is mapped to the output y.

For this problem, the points are given as follows:

(-2, -1), (1, -4), (5, -8), (9, -12)

Each input is mapped to only one input, that is, there are no repeated values of x, hence the best description of the ordered pairs is given by:

B. both a relation and a function.

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if an audit company picks a bank at random for audit what is the probability that a bank (a) is guilty of fraud? (b) is guilty of fraud given it is a private bank? probability problem

Answers

The probability of the randomly selected bank being a) guilty of fraud is 0.1 and b) guilty of fraud, it is given it is a private bank is 0.15

Here

let A be the event of the Bank being a fraud

Let B be the event of the bank being private

Here we see that 100 banks have been sampled.

a)

Probability = no. of favorable outcomes/total no. of outcomes

Here we see that under the row of Bank Fraud and Yes section there are

6 + 4

= 10 banks.

Hence,

n(A) = 10

n = 100

Therefore,

P(A) = 10/100

= 0.1

b)

The conditional Probability

P(X|Y) = P(X ∩ Y) / P(Y)

Here,

we need to find the bank is a fraud given that it is a private bank. Hence we need to find,

P(A|B)

= P(A ∩ B) / P(B)

Here we see that the private banks that are fraud are given to be 6.

Hence,

n(A ∩ B) = 6

Therefore,

P(A ∩ B) = 6/100

n(B) = 6 + 34 = 40

P(B) = 40/100

Hence P(A|B) = (6/100) / (40/100

= 6/40

= 3/20

= 0.15

Complete Question

(Information attached as an image)

if an audit company picks a bank at random for audit what is the probability that a bank

(a) is guilty of fraud?

(b) is guilty of fraud given it is a private bank?

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a small airline runs commuter flights with a plane that holds 10 people. each ticket-holder has a 10% chance of not showing up, so the airline sells 12 tickets for each flight. which is an appropriate plan for a simulation that uses a table of random digits to estimate the probability that exactly ten people show up for the flight?

Answers

The probability that exactly 10 people will show up is 0.230

Let X measure the number of people (out of 12) who show up for a flight. For each passenger

we have a 90% chance of showing up, so X is a binomial random variable with n = 12 and p = 0.90.

(b) Everyone gets a seat when X ≤ 10. We have to find the probability when exactly 10 people show up for the flight , so we use the binomial probability for P(10)

∴ P(10) = [tex]C^{n} _{x} p^{x}(1-p)^{n-x}[/tex]

P(10) = 0.230

So , the probability that exactly 10 people show up for the flight is 0.230 .

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Write a linear function f with f(-10) = 4.5 and f(-2)=4.5.

Answers

Answer:

plsssssssssssssssssssssssssssssssssss

solve the equation 8-3(x + 4)= 2x +1

Answers

Answer:

x = -1

Step-by-step explanation:

8 - 3x - 12 = 2x + 1

-3x - 4 = 2x + 1

-5 = 5x

x = -1

The value of x in the equation 8-3(x+4)=2x+1 is -1.

Given equation 8-3(x+4)=2x+1

= 8-3x-12 = 2x+1

= -3x-4 = 2x+1

= -5x = 5

= x = -1

We will first solve the bracket which is -3(x+4) which will give us -3x-12 and then we will add this to 8 which will give us -3x-4. Next, we will move all the constants to one side and the terms with x to one side which will give us -5x=5. Finally, we will divide the whole equation by -5 and we will get the answer of x as -1.

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There are 11,357 pets in a town that has a population of 47,500. What is the number of pets per capita?
Round your answer to 2 decimal places.

Answers

The number of pets per capita is 0.24

Given,

Number of pets in a town = 11,357

Population of the town = 47,500

We have to find the number of pets per capita;

Per capita;-

The Latin phrase "per capita" means "by head." It is used to calculate the average for each individual in a certain measurement. Per capita is frequently used, for instance, to calculate a population's per capita gross domestic product (GDP).

Here,

Number of pets per capita = Number of pets / Population

Number of pets per capita = 11,357 / 47,500

Number of pets per capita = 0.24

That is,

The number of pets per capita is 0.24

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What is the equation of the line?

Answers

Answer:

x=0

Step-by-step explanation:

it is a straight line on the y axis making x=0

a box has a width of 15 inches and a length of 16 inches. the volume of the box is increasing at a rate of 569 cubic inches per second, with the width and length being held constant. what is the rate of change, in inches per second, of the height when the height is 6 inches?

Answers

The rate of change in height when height is 6 inches is 2.37 inches per second approximately.

We know that the volume of cube with length L, width W and height H is given by,

V = L*B*H

So given that the length is 15 inches

the width is 16 inches

Let the height be h inches.

So now the volume is given by,

V = 15*16*h

Differentiating the volume with respect to time 't' we get,

dV/dt = 15*16 dh/dt

Now given that the rate of change in volume per second is 569 cubic inches.

So, dV/dt = 569

So, 15*16 dh/dt = 569

dh/dt = 569/(15*16) = 569/240 = 2.37 (approx)

So the rate of change in height is 2.37 inches approximately.

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Find the equation of the line the (2, 6) and is perpendicular to the equation y = 2x + 8

Answers

Answer:

y = -0.5x + 7

Step-by-step explanation:

Equation of a Line is y = mx + c

where m is the slope and c is the y-intercept

Given two lines are Perpendicular

Then [tex]m_{1} m_{2} =-1[/tex]

So we given Line whose Equation is y = 2x +8

Then [tex]m_{1} =2[/tex] (Coefficient of x)

Since the Line we want is Perpendicular to that line

Then [tex]m_{1} m_{2} =-1[/tex]   ,  [tex]2m_{2} =-1 , m_{2} =\frac{-1}{2}[/tex]

So the Equation of the required Line is y = -0.5x +c

Since the Line passes through (2 , 6) , Then y = 6 when x = 2

By substitution , 6 = -0.5*2 + c  ,   6 = -1 + c

Then c = 6+1 =7

Then the Equation will be y = -0.5x + 7

Answer:   y= -1/2x+7

Step-by-step explanation: use the point slope form and use the -1/2x like the slope because the perpendicular lines are negative reciprocals.

Cn anyone answer this question?

Answers

Looks like (3,4). The vertex is the point where the lines diverge out of. In the “V” it is the point where the two lines go up out of. Does that make sense?

can someone solve this?









Find the values of the variables and the measures of the angles.

Answers

Answer:

x = 52°

y = 25°

z = 90°

Step-by-step explanation:

        We know there are 180 degrees in a triangle. The box represents 90 degrees.

90° + x + 38° = 180°

x + 128° = 180°

x = 52°

        Next, we know that a straight line is equal to 180 degrees. Again, the box represents 90 degrees.

90° + z = 180°

z = 90°

        Lastly, we will use the same process for angle x, but for angle y.

y + z + 65° = 180°

y + 90° + 65° = 180°

y + 155° = 180°

y = 25°

In Linguistics 101, the ratio of the number of juniors to the number of seniors is $3:2$. When seven more juniors join the class, and two seniors drop the class, the ratio of the number of juniors to the number of seniors becomes $5:2$. How many students are in the class after these changes?

Answers

The number of students in the class after the changes here are 35.

What are ratios?

An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The question tells us that 7 more juniors have joined this class, while 2 seniors have dropped the class. Then the ratio would be 5 : 2 from the question.

This would give us the ratios as

[tex]\frac{3x+7}{2x-2} = \frac{5}{2}[/tex]

From here we would have to cross multiply

2(3x + 7) = 5(2x - 2)

6x + 14 = 10x - 10

6x - 10x = -10 - 14

- 4x = -24

x = 6

Put the value of x in both equations

3x + 7 = 3 x 6 + 7

= 25

2x - 2 = 2 x 6 - 2 = 10

25 + 10 = 35

The number of students that are in the class is given as 25

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homer simpson is interested in studying the ratio of the various colors of sprinkles on lard lad donuts. to conduct his study, homer purchases three of each variety of donut they make and counts the sprinkles on them. what method did homer use to select his sample?

Answers

Stratified random sampling was the technique employed by Homer to choose his sample.

Given case;

Homer Simpson is fascinated with the proportion of the different sprinkled colors on lard lad doughnuts. Homer buys three of each type of donut they produce and counts the sprinkles on them to perform his research.

The method did homer use to select his sample is stratified random sampling. Because each variety is a stratum.

From there 3 3 samples are collected.

Stratified random sampling:

A crucial aspect of the sampling strategy known as stratified random sampling is the stratification of a population into smaller subgroups known as strata. During stratified random sampling, the strata are created based on the shared traits or features of the participants, such as level of education or income. Numerous uses and advantages of stratified random sampling include examining life expectancy and population demography.

The terms proportionate random sampling and quota random sampling are also used to describe stratified random sampling.

The method did homer use to select his sample is stratified random sampling.

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Can someone please help me?
The curriculum runs from Mon 27/7/2020 to Fri 27/11/2020, work out how many full weeks this is by using a calendar.

a) Number of weeks:
b) Convert the number of weeks to fortnights:

You work on your studies 3 days of the week

a) What is the total number of days that you study using the number of weeks you calculated earlier and 3 days a week
b) If you work 2 hours a day what would the total number of hours be over the course?

Answers

Using proportions, the amounts are given as follows:

a) Number of weeks: 17.

b) Number of fortnights: 8.5.

a) Number of days studied: 51.

b) Number of hours studied: 102.

What is a proportion?

A proportion is a fraction of a total amount, and this fraction is used to build relations, using basic arithmetic operations such as multiplication or division, to obtain the desired measures in the context of a problem.

Using a calendar, the number of weeks between these two dates is of:

17.

A fortnight is composed by two weeks, hence the number of fortnights is:

17/2 = 8.5.

You studied 3 days a week, hence the number of days studying was of:

17 x 3 = 51 days.

You studied 2 hours a hence, hence the number of hours studying was of:

51 x 2 = 102 hours.

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solve the question
4+4=
8+8=​

Answers

Answer:1. 8

2. 16

Step-by-step explanation:

The answer is
4+4=8
8+8=16

SKIING Gavin is working on an animated film about skiing. The figure shows a ski slope, represented by AB, and one of the chairs on the lift, represented by point C

Answers

Answer:

The value of x=35 and the co-ordinates at the top of the chair lift are (35,20).

What are co-ordinates?

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x axis (horizontal) and y axis are the two axes that make up a coordinate plane (vertical).

Step-by-step explanation:

Given:

    20 = 1/2x + 5/2

20 * 2 = x + 5

     40 = x + 5

        x = 35

Therefore, the co-ordinates of the chair at the top of the chair lift are (35,20)

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jana, a nurse practitioner, renders aid to kurtz, who is injured and unconscious. jana can recover the cost of the aid from kurtz a. only if kurtz recovers because of the aid. b. under no circumstances. c. on a quasi contract theory. d. only if kurtz was aware of the aid. being underweight: question 32 options: is always the result of an eating disorder. is never a concern since people suffer no health risks. is associated with an increased risk of early death. is an unnatural condition that should always be remedied. When public opinion is led by public policy, the decisions or actions of political leaders influence the way people feel about certain situations. True False in the laboratory you dissolve 20.0 g of silver acetate in a volumetric flask and add water to a total volume of 125 ml. what is the molarity of the solution ? m. what is the concentration of the silver cation ? m. what is the concentration of the acetate anion ? m. Which quote from the Odyssey fits each theme?The following quote is an example of what theme from part 1?"But in the end, when all the barley in the ship was gone, hunger drove them to scour the wild shore with angling hooks, for fishes and sea fow..." (Lines 848-851).The following quote is an example of what theme from part 1?"I have been detained long by Calypso, loveliest among goddesses, who held me in her smooth caves..." (Lines 29-31).The following quote is an example of what theme from part 1?With crack on crack of thunder, Zeus let fly a bolt against the ship [.] and all the men were flung into the sea" (Lines 948-951).The following quote is an example of what theme from part 2?"He [Odysseus] drew to his fist the cruel head of an arrow for Antinous just as the young man leaned to lift his beautiful drinking cup. [.] Odysseus' arrow hit him under the chin (Lines 1412-1419).ThemesJusticeHonorTemptationHonesty Why did the railroads initially divide the United States into four standard timzones?OA. To print fewer copies of their schedulesOB. To confuse more of their customersO C. To make their schedules more standardOD. So that all trains could leave on the hourSUBMIT p x 3,700=4,070There was a % percent increase in the number of visitors. What does the simile in this text suggest?You're as cold as ice; you're willing to sacrifice our love.-Foreigner, "Cold as Ice"The song is about someone who doesn't care.The song is about someone who is guilty.The song is about someone who is freezing. christina, who is 44, wonders if she should be concerned about her risk of breast cancer. christina went through menarche at age 12, has no children, and is in generally good health. christina's mother was diagnosed with breast cancer at age 58. according to the american cancer society, christina should . . . Graph the line that passes through the points (9,2) and (3,4) and determine the equation of the line ( I need it with graph) Find the area of the circle. Give your answer to two decimal places . Please show work jake recently visited a nutritionist who, after examining his weight and height, informed him that his body mass index is 30, which means that jake is: 1. one-word compound ice cream 2. hyphenated compound nondescript 3. two-word compound schoolhouse 4. hyphenated number word 6discussion 5. hyphenated adjective one-of-a-kind 6. word with double consonants barrier-reef 7. a noun 12can't 8. an adjective 10doctor 9. an -ing verb 9looking 10. a spelling word that contained the abbreviation for October 7dog 11. an emotion word resentment 12. a contraction 4twenty-five ASK FOR HELP If x =-5, what is the value of 2x^+6x Determine the length of the line segment shown. line segment from negative 5 comma 5 to 3 comma negative 1 6 units 8 units 10 units 36 units fist gets brainlyist and 35 points please help asap when the minimum-maximum inventory system is used, the minimum number of purchase units that must always remain in inventory is called: The length of a rectangle is twice its width.If the perimeter of the rectangle is 42 in, find its length and width. help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseeeeeeeeeee rn rnnnnnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! A 5-kilogram bag of cat food costs $14.85. What is the unit price? 6. a lease that transfers ownership of the asset to the lessee by the end of the lease term would be a