HELP

What are the similarities and differences do you see between 3 and 4

For example:
Similar: both arithmetic/linear/common difference
Different: #1 is discrete #3 is continuous

WILL GIVE BRAIN

HELPWhat Are The Similarities And Differences Do You See Between 3 And 4 For Example: Similar: Both Arithmetic/linear/common

Answers

Answer 1
measures: _ , and .

Related Questions

determine the test average for your math class after completing test

Answers

Considering the numeric value of the function f(x), the test average for your math class after completing test 2 was of 80.8.

How to find the numeric value of a function or of an expression?

To find the numeric value of a function, we replace each instance of the variable in the function by the desired value.

For this problem, the function is given by:

f(x) = 79 + 0.9x.

The average after test 2 is represented by the numeric value when x = 2, hence we replace the lone instance of x on the function to find the average as follows:

f(2) = 79 + 0.9(2) = 80.8.

What is the missing information?


The problem asks for the test average for your math class after completing test 2.

The function that gives the average after test x is:

f(x) = 79 + 0.9x.

More can be learned about the numeric values of a function at brainly.com/question/28367050

#SPJ1

Which is larger, 3.2 x 104 or 3.2 x 105?

Answers

Answer:

3.2 x 105

Step-by-step explanation:

its simple

3.2 x 105. The value on the right is higher because the second number is higher than the other.

Ava is older than Olivia. Their ages are consecutive even integers. Find Ava's age if the sum of Ava's age and 2 times Olivia's age is 74

Answers

Ava's age is 26 years when Ava and Olivia's ages are consecutive even integers and the sum of Ava's age and 2 times Olivia's age is 74.

According to the question,

Ava and Olivia's ages are consecutive even integers.

Now, let's take Olivia's age to be x years.

So, Ava's age would be (x+2) years because their ages are consecutive even integers. (Even numbers are the number which are divisible by 2.)

We have the sum of Ava's age and 2 times Olivia's age is 74.

So, we have the following expression:

(x+2+2x) = 74

3x+2 = 74

3x = 74-2

3x = 72

x = 72/3 (3 was in multiplication on the left hand side. So, it is in the division on the right hand side.)

x = 24 years

So, Olivia's age is 24 years.

Now, we have:

Ava's age = (x+2) years

Ava's age = (24+2) years

Ava's age = 26 years

Hence, Ava's age is 26 years.

To know more about consecutive even integers here

https://brainly.com/question/26438608

#SPJ1

Demuestra los valores de las funciones trigonométricas del ángulo de 0°

Answers

The values ​​of the trigonometric functions of the 0° angle are, cos 0° = 1, sin 0° = 0 ,tan 0° = 0, cot 0° = ∞, sec 0° = 1 , cosec 0° = ∞.

What is trigonometric functions?

The simplest definition of a trigonometric function is the function of an angle in a triangle, also known as a circular function. It implies that these trigonometric functions can be used to determine the relationship between a triangle's angles and sides. The fundamental trigonometric operations include sine, cosine, tangent, cotangent, secant, and cosecant.

Now given degree is 0 ,

So, we know that sin 0° = 0,

And cos 0° = 1,

⇒tanθ=sinθ/cosθ,

Here θ = 0°

⇒tan 0° = 0/1,

⇒tan 0° = 0,

Now as cot θ is the inverse of tan θ, we get,

⇒cot θ = 1/tan θ,

⇒cot 0°= 1/0,

⇒cot 0° = ∞,

Now we know that cosec θ is the inverse of sin θ, we get,

⇒cosec θ = 1/sin θ,

⇒cosec 0° = 1/0,

⇒cosec 0° = ∞

And we know that sec θ is the inverse of cos θ we get,

⇒sec θ = 1/cos θ,

⇒sec 0° = 1/1,

⇒sec 0° = 1.

Learn more about trigonometric functions

https://brainly.com/question/25618616

#SPJ10

Can someone like explain to me how to get this.

Answers

The probability of rolling an even number or a multiple of 3 is 3/4.

What is the probability?

Probability determines the odds that a random event would happen. The probability the event takes place is 1 and the probability that the event does not happen is 0.

An even number is a number that is perfectly divisible by 2.

Probability of rolling an even number = number of sides that are even / total number of sides

Sides that are even = 2, 4, 6

Probability of rolling an even number = 3/6 = 1 / 2

Probability of rolling a multiple of 3 = number of sides that are multiples of 3  / total number of sides

Sides that are multiples of 3 = 3, 6

Probability of rolling a multiple of 3 = 2/6 = 1/2

The probability of event B or C = 1/4 + 1/2 = 3/4

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

A woman wants to measure the height of a nearby tower. The total length of the towers shawdow is 185 ft, and the poles casts a shawdow that is 6.5 ft long. How tall is the tower? Round your answer to the nearest foot.​

Answers

yes you want to know about math then you will tell answer d

I REALLY NEED HELP WITH THIS!!

Determine the angles of a rotation

A) 90º clockwise
B) 90º counterclockwise
C) 180º
D) 270º clockwise
E) 270º counterclockwise


is 2 correct answers 

Answers

270 counter clockwise

Step-by-step explanation:

look at the rotation

Diction is the way writers arrange words and punctuation to create sentences.


A. True

B. False

Answers

It’s a super false! The answer

Answer:

False

Step-by-step explanation:

A baseball team has $1,400 to buy baseball uniforms. Each uniform costs $124. Does the team have enough money to buy 11 baseball uniforms? Use the drop-down menus to explain.

The total cost for 11 uniforms is
Choose...
.

Since
Choose...
is
Choose...
$1,400, the team
Choose...
enough money to buy 11 uniforms.

Answers

The team has enough money that will be used to buy 11 baseball uniforms.

How to illustrate the information?

The information illustrated that the baseball team has $1,400 to buy baseball uniforms and each uniform costs $124.

It was also stated that the team needs to buy 11 uniforms. In this case, the cost of 11 uniforms will be the multiplication of the coat of each pair of uniform by the number of uniforms that will be bought.

This will be illustrated as:

= Amount of each uniform × Number of uniform

= $124 × 11

= $1364

Therefore, the total amount is $1364. Therefore, since the baseball team has $1400, the amount is enough.

Learn more about cost on:

brainly.com/question/25109150

#SPJ1

Find the derivative: since the function is f(x) = (1-3x)^(1/3), the derivative is f'(x)=1/3(1-3x)^(-2/3) *(-3) =-(1-3x)^(-2/3) =evenutally we get an answer but thats not what im confused about where did the *(-3) come from? what does it mean? it made me get a different answer and i don't understand where it came from? please help asap

Answers

The derivative of f(x) = (1 - 3x)^(1/3) is  f'(x) = - (1 - 3x)^(-2/3). The  *(-3) comes from the derivative of (1 - 3x) with respect to x, due to the chain rule.

Chain rule:  dy/dx = dy/du. du/dx

Suppose we have f(g(x)), then its derivative is: f'(g(x)) . g'(x)

In the problem:

f(x) = (1 - 3x)^(1/3)

Let u = 1 - 3x

then f(u) = u^(1/3)

and f'(u) = 1/3 u^(-2/3)

That part only the derivative of f with respect to u. We still need to take the derivative of u with respect to x. That is:

u(x) = 1 - 3x

u'(x) = -3

Hence, the complete derivative is:

f'(x) = f'(u) . u'(x)

     = 1/3 u^(-2/3) . (-3)

     = -  u^(-2/3)    ( substitute back u = 1 - 3x )

     = - (1 - 3x)^(-2/3)

Hence the *(-3) comes from the derivative of (1 - 3x) with respect to x, due to the chain rule.

Learn more about chain rule here

https://brainly.com/question/17035616

#SPJ4

i rllly need this one pls help

Answers

The slope of the line is 2.

We are given a graph with coordinate axes, namely, the x-axis and the y-axis.The intersection of the coordinate axes is called the origin with coordinates (0, 0).The line is drawn in blue.The line passes through two dots, whose coordinates can be found using the graph.The coordinates of the points are (1, 1) and (-1, -3).The slope "m" of a line passing through points (x1, y1) and (x2, y2) is calculated as :m = (y2-y1)/(x2-x1)The slope of the line shown in the graph is :m = (-3-1)/(-1-1)m = -4/-2m = 2Thus, the slope of the line is 2.

To learn more about slope, visit :

https://brainly.com/question/3605446

#SPJ1

(6 ten thousands 3 hundreds) x 10

Answers

It should be noted that (6 ten thousands 3 hundreds) x 10 will give a value of 603000

How to calculate the value?

Based on the information given, it should be noted that we want to calculate (6 ten thousands 3 hundreds) x 10

It should be noted that 6 ten thousands is 60000.

It should be noted that 3 hundreds will be 300.

Therefore, 6 ten thousands 3 hundreds x 10 will be:

= (60000 + 300) × 10

= 60300 × 10

= 603000

Learn more about numbers on:

brainly.com/question/148825

#SPJ1

Equivalent expressions 4x+1/2+2x-3

Answers

The Equivalent expressions of  4x+1/2+2x-3 is  6x × 1/2 - 3 .

What are equivalent expressions?

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value(s) for the variable are entered, two algebraic expressions that are equivalent will have the same value (s). An expression that is equivalent to another expression but does not share its visual characteristics has the same value or worth. According to algebra, the equivalent formulae 2(2x - 3y + 6) and 4x -6y + 12 are the same. When two expressions can be written similarly or when they can be combined into a single, simpler expression, they are said to be equivalent. Furthermore, if values are replaced for the variable in two expressions and they both yield the same result, you can tell if the expressions are similar.

To know more about equivalent expressions ,visit:

brainly.com/question/28170201

#SPJ13

Help!A 2-column table with 5 rows. Column 1 is labeled Type of flower with entries lilies, daisies, carnations, asters, daffodils. Column 2 is labeled Amount with entries 60, 36, 72, 42, 24.


The florist makes the greatest number of identical arrangements with the lilies and the daisies. Which combination describes the arrangements?

A.6 arrangements with 10 lilies and 6 daisies

B.6 arrangements with 6 lilies and 10 daisies

C.12 arrangements with 10 lilies and 6 daisies

D.12 arrangements with 5 lilies and 3 daisies

Answers

The greatest number of identical arrangements the florist can make is .12 arrangements with 5 lilies and 3 daisies.

What is the greatest number of identical arrangements?

The greatest number of identical arrangements with the lilies and the daisies the florist can make would be equivalent to the highest common factor of the number of lilies and daisies.

The highest common factor of two or more numbers is the highest number that can divide the numbers evenly without leaving any remainder. For example, the highest common factor of 4 and 8 is 4.

Factors of 60=  1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60.

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.

Common factors = 1, 2, 3, 4, 6, 12

Highest common factor = 12

Number of daisies = 36 /12 = 3

Number of  lilies = 60 / 12 = 5

To learn more about highest common factor, please check: https://brainly.com/question/26073850

#SPJ1

Why are there two possible solutions to the equation, X² = 100?

Answers

Answer:

x could be 10 or -10

Step-by-step explanation:

10 x 10  = 100

and

(-10) x (-10) = 100  A negative times a negative is a positive.

I need help look at the image attached

Answers

Answer:

[tex]\dfrac{(x-2)^2}{9}-\dfrac{y^2}{4}=1[/tex]

Step-by-step explanation:

Given points:

(2±3√2, ±2)(5, 0)(-1, 0)

Standard equation of a horizontal hyperbola (opening left and right):

[tex]\boxed{\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1}[/tex]

where:

center = (h, k)vertices = (h±a, k)

Points (5, 0) and (-1, 0) are the vertices of the hyperbola.

The center (h, k) is midway between the vertices.  Therefore:

[tex]\implies h=\dfrac{5-1}{2}=2[/tex]

[tex]\implies k=0[/tex]

Substitute the found values of h and k into the formula:

[tex]\dfrac{(x-2)^2}{a^2}-\dfrac{y^2}{b^2}=1[/tex]

Substitute point (5, 0) and solve for a²:

[tex]\implies \dfrac{(5-2)^2}{a^2}-\dfrac{0^2}{b^2}=1[/tex]

[tex]\implies \dfrac{3^2}{a^2}=1[/tex]

[tex]\implies \dfrac{9}{a^2}=1[/tex]

[tex]\implies 9=a^2[/tex]

Substitute one of the (2±3√2, ±2) points and the found value of a² and solve for b²:

[tex]\implies \dfrac{(2+3\sqrt{2}-2)^2}{9}-\dfrac{2^2}{b^2}=1[/tex]

[tex]\implies \dfrac{(3\sqrt{2})^2}{9}-\dfrac{4}{b^2}=1[/tex]

[tex]\implies \dfrac{18}{9}-\dfrac{4}{b^2}=1[/tex]

[tex]\implies 2-\dfrac{4}{b^2}=1[/tex]

[tex]\implies \dfrac{4}{b^2}=1[/tex]

[tex]\implies 4=b^2[/tex]

Substitute the found values of a² and b², together with the values of h and k, into the formula to create the equation of the hyperbola:

[tex]\dfrac{(x-2)^2}{9}-\dfrac{y^2}{4}=1[/tex]

I need help! This is due Friday and I don't know how to do all three questions.

Answers

Answer: Patrisha robbed 20+ banks

Bob has farted 30 times

Mary and John have 55 combined

Step-by-step explanation:

First one: She robbed 20 banks and then robbed more, giving 20+

Second one: 6 times a day for 5 days - 6x5=30

Third one:  25+30=55

Mark raised $405 for his softball team's fundraiser. he wants to raise at least $825. write and solve an inequality to determine how much more money mark must raise to reach his goal. let d represent the amount of money in dollars mark must raise to reach his goal.

Answers

Answer: d ≥ 825-405

You're Welcome

Write the equation for this graph using this format y= a |x-h| +k

Answers

The equation of the graph using the format y= a*|x-h|+k is y=|x+4|-5 .

In the question ,

From the graph we can see that the vertex of the graph is (-4,-5) ,

The absolute value equation of the graph is denoted by y=a*|x-h|+k ,

where (h,k) are the vertex of the graph .

Since (-4,-5) is the vertex , So h= -4 and k= -5 ,

Substituting the values of h and in the absolute value equation , we get

y=a*|x-(-4)|+(-5)

y=a*|x+4|-5

Take any point that lies on the graph ,

Selecting the point (1,0) which lie on the graph ,

Substituting the value as x=1 and y=0 , we get

0=a*|1+4|-5

5=a*|1+4|

5=5a

a=1 ,

Substituting the values of a=1 , h= -4 and k=-5 in the absolute value equation , we get y=|x+4|-5

Therefore , the equation of the graph using the format y= a*|x-h|+k is y=|x+4|-5 .

Learn more about Graphs here

https://brainly.com/question/5218738

#SPJ1

I NEED HELP ASAP PLEASE!!!!!

Answers

Based on the discount to be applied by the online store when an order totals below $50 and $50 and above, the correct statement is C. A purchase of 2 pots at $20 each and 1 pan at $35 will be charged at $56.25.

How to find the discounted price?

The discount for orders above $50 is 25%.

When a person buys 2 pots for $20 each and then 1 roasting pan for $35, the amount they'll pay normally is:
= (2 x 20) + 35

= 40 + 35

= $75

The amount the person will pay after the 25% discount is applied is:

= 75 x (1 - 25%)

= 75 x 75%

= $56.25

Find out more on promotional discounts at https://brainly.com/question/20827376

#SPJ1

Question 1
Solve the inequality.

5a<−35 or a−14>1

Answers

Answer:

The answer is

[tex]a < - 7 \: or \: a > 15[/tex]

lucy and her father share the same birthday. When lucy turned fifteen, her father was 3 times her age. On their bday this year, Lucky's father turned exactly twice as old as she turned. How old did lucy turn this year?

Answers

Solving a system of equations we can see that Lucy is 30 years old.

How old did lucy turn this year?

Let's define the variables:

L = Lucy's age.

F = father's age.

We know that when Lucy turns 15, her father was 3 times her age, so:

if L = 15

then F = 15*3 = 45

So her father is 30 years older than Lucy.

So we can write the linear relation:

F = L + 30

Now we know that this year, her father has exactly twice Lucy's age, then we have the system of equations:

F = L + 30

F = 2*L

Replacing the other equation here we get:

L + 30 = 2*L

30 = 2*L - L = L

30 = L

Lucy is 30 years old.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

identify if the following statement is a proper interpretation of a 95% confidence interval 95% of the population values will fall within this variable

Answers

option a , c and d are the correct statement or is a proper interpretation of a 95% confidence interval 95% of the population values will fall within this variable

What is the 95% confidence interval for a population mean?

It means that for any given number of samples, 95% of them will fall within 2 standard errors of the true mean of the population the sample is derived from.

a. In 95% of all samples, the sample mean will fall within 2 standard errors of the true population mean.

c. In 95% of all samples, the true population mean will be within 2 standard errors of the sample mean.

d. 95% of the population values will lie within 2 standard errors of the sample mean.

therefore option a , c and d are correct

learn more about of mean here

https://brainly.com/question/24071798

#SPJ4

The table represents a continuous exponential function f(x).


x 2 3 4 5
f(x) 12 24 48 96

Graph f(x) and identify the y-intercept.
0
3
6
12

Answers

The graph of the continuous exponential function f(x) has been plotted and there is no y intercept in the graph

The  domain is the set of all possible inputs of the given function.

The range is the set of all possible outputs of the given function

Here values of the x is the set of all possible inputs of the function and the values of (x) is the set of all possible outputs of the function.

Draw the graph using the given domain and range

From the given graph

We can see that there is no y intercept and x intercept

Hence, the graph of the continuous exponential function f(x) has been plotted and there is no y intercept in the graph

Learn more about continuous exponential function here

brainly.com/question/16571566

#SPJ1

In the last ten games, Jamal made 7/9
of his free throws and Brian made 5/8
of his free throws. Which player has the better record? Explain.

Answers

By comparing the fractions, we see that 7/9 is larger than 5/8, thus, Jamal has the better record.

Which player has the better record?

We know that Jamal made 7/9 of his free throws while Brian made 5/8 of his free throws.

To see which player has the better record, we need to see which one of the two fractions is larger.

To do so we can write both of the fractions as decimals, we will get:

7/9 = 0.77...

5/8  =0.625

There we can see that 7/9 is larger, thus, we can conclude that Jamal has a better record.

Learn more about fractions:

https://brainly.com/question/11562149

#SPJ1

The circumference of a circle changes from 20 to 4 after a dilation. What was the scale factor of the dilation?
O
25
O 5
O25

Answers

Answer:

1/5

Step-by-step explanation:

we know that

To find the scale factor divide the circumference of the dilated circle by the circumference of the original circle

so

Scale factor= 4/20=1/5

I am having a difficult time solving this. Please HELP!

Answers

The solution of the algebraic expression for the variable M is given as follows:

M = (4π²a³)/(T²G)

How to solve an algebraic expression for a variable?

To solve an algebraic expression for a variable, we have to isolate this variable, as a function of the other variables in the expression.

In the context of this problem, the expression which we want to solve for M is given as follows:

T² = 4π²a³/GM

Applying cross multiplication to remove the fraction, we have that:

T²GM = 4π²a³

To isolate M, we apply the division, which is the opposite operation of the multiplication, as T²G are multiplying M, hence the simplified expression for M is given as follows:

M = (4π²a³)/(T²G)

More can be learned about algebraic expressions at https://brainly.com/question/4344214

#SPJ1

Which are true about Figure 1 and Figure 2? Select all that apply. A. The figures have the same shape.B. The figures have the same size.C. Corresponding angles have the same measure.D. Corresponding sides have the same length.E. Corresponding side lengths have the same ratio.F. The figures are similar.

Answers

As we can see

A. The figures have the same shape. TRUE

B. The figures have the same size. FALSE

figure 1 is smaller than figure 2

C. Corresponding angles have the same measure. TRUE

as we can see in the image they have the same measure

D. Corresponding sides have the same length. FALSE

figure 1 is smaller than figure 2

E. Corresponding side lengths have the same ratio. TRUE

two figures are similar, the ratios of the lengths of their corresponding sides are equal.

F. The figures are similar. TRUE

because they have the same shape but the size is different

Translate this sentence into an equation. 67 is the difference of Gail's age and 15. Use the variable g to represent Gail's age.

Answers

The algebraic equation that represents the given sentence is:

g - 15 = 67.

Which algebraic equation represents the given sentence?

We have to look at the description of the sentence, and then formulate expressions that represent this sentence.

The difference between two numbers x and y is represented by the following expression.

x - y.

Gail's age is represented by the following variable:

g.

Hence the difference of Gail's age and 15 is represented by:

g - 15.

The numeric value of this expression is of 67, hence the equation is:

g - 15 = 67.

A similar problem, also about algebraic equations and sentences, is given at https://brainly.com/question/28036476

#SPJ1

2ax-b=cx+b solve for x

Answers

The solution for x in the equation is x = 2b/(2a - c)

How to solve for x in the equation?

The equation is given as

2ax - b = cx + b

Collect the like terms in the above equation

So, we have the following equation

2ax - cx = b + b

Evaluate the like terms in the above equation

So, we have the following equation

2ax - cx = 2b

Factor out x from the equation

x(2a - c) = 2b

Divide both sides by 2a - c

x = 2b/(2a - c)

Hence, the solution for x is x = 2b/(2a - c)

Read more about subject of formula at

https://brainly.com/question/10643782

#SPJ1

Other Questions
How does slavery impact women and children specifically? The points A, B and C are 3 corners of a rectangle. What are the coordinates of D, the 4th corner?PLEASE HELP URGENTLY WILL MSRK BRAINLIEST! :D How many extra flowers did they order? Isabelle's family raises honey bees and sells the honey at the farmers' market. To get ready for market day, Isabelle fills 24 equal sized jars with honey. She brings a total of 16 cups of honey to sell at the farmers' market. Use an equation to find the amount of honey each jar holds. To write a fraction, use a slash ( / ) to separate the numerator and denominator. cups help please !!!!!!!!!!!!. the degree to which equipment, space, or the workforce is currently being used, and is measured as the ratio of average output rate to maximum capacity (expressed in percent.) You bike 14 1/4miles from your house to a state park. You travel 1/3of thatdistance in the woods. You bike along the bank of a stream for the last 1/2ofthe woods. On how many miles of your trip do you bike along the bank ofthe stream? Published Sentences: Research suggests that people exercise less when demands in their job or studies increase (Englert & Rummel, 2016; Oaten & Cheng, 2005; Sonnentag & Jelden, 2009). Building upon these findings, the present study investigated the relationship between university students' implicit theories about willpower and the amount they exercise during their final examination period. We hypothesized and found that students with a limited theory about willpower-those who believed that their self-control resembles a limited resource-exercised significantly less than students with a nonlimited theory during this stressful period (about 220min less over the course of 2 weeks). Which of the following statements must be true based on the diagram below? Select all that apply. (Diagram is not to scale.)A. LN is a segment bisectorB. LN is an angle bisectorC. L is the vertex of a pair of congruent angles in the diagramD. N is the vertex of a pair of congruent angles in the diagramE. L is the vertex of a right angleF. N is the vertex of a right angle help !!!!!!!!!!! please 24 in the ratio 1:2:3 There are 28 students in a class.16 of the students are girls.What proportion are boys?Write your answer in two ways. Based on this letter, what is King's view of the proper response of a wise person to a corrupt world? (Figure 1) is the potential-energy diagram for a 500 gparticle that is released from rest at A. What is the particles speed at B? Which graph Represents a function Based on properties of elements in the periodic table, which element is the best conductor of thermal energy?A. argon(Ar)B. germanium (Ge)C. polonium(Po)D. vanadium(V) Should you use the flash above why or why not Three forces act on a moving object. One force has a magnitude of 84.4 N and is directed due north. Another has a magnitude of 42.7 Nand is directed due west. What must be (a) the magnitude and (b) the direction of the third force, such that the object continues tomove with a constant velocity? Express your answer as a positive angle south of east. Which of the following would be the best way to describe the US government's approach todealing with Native Americans on the frontier in the years following the Civil War?A. negotiations, in which the aim was to share land peacefully with the tribes that had livedthere for generationsB. compensation, in which the US government paid tribal leaders whatever amount ofmoney the two sides agreed the land was worthC. barter, in which Native Americans surrendered land in exchange for citizenship rights andthe guarantee of being given land for families to own and farmD. conquest, in which the United States used its military to take land previously occupied byNative Americans and relocate tribes to areas designated by the US government the beam supports a uniform dead load of 0.4k/ft, a live load of 1.5k/ft and a single live concentrated force of 8k. determine (a) the maximum positive moment at c and (b) the maximum positive vertical reaction at b. assume a is a roller and b is a pin.