Who can help me pronto i will give a brainliest

Who Can Help Me Pronto I Will Give A Brainliest

Answers

Answer 1

Answer:I think it would be C

Step-by-step explanation:

Answer 2

Answer:

1) B

-2x+y=4

+2x+3y=20.

4y=24

2) 4y=24. divide both sides by 4

y= 6

3) (Pick any equation you like, change y to 6)

-2x+6=4 subtract 6 to both sides

-2x=-2 divide by -2

x=1

or

2x+3(6)=20. --> 2x+18=20 subtract 18 to both sides

2x=2. divide by 2

x=1

4) (x,y) change the x and y to their values. (1,6)

Step-by-step explanation:

explained on top


Related Questions

Evaluate the following expression. (81)0 1 0 8

Answers

Answer:

81^108 = 1.30732. . . E206

Step-by-step explanation:

81^108

refine to a decimal form

= 1.30732. . . E206

81^108 = 1.30732 . . . E206

Use the drop-down menus to complete the statement about the number line diagram.

Use the drop-down menus to complete the statement about the number line diagram.

Answers

-2x≤6 and 2x≥-6 is the inequalities represented by the number line

The visual representation of the real numbers on a straight lineis known as number line

On a number line each  point of  is assumed to correspond to a real number, and every real number to a point.

As we observe the graph the red line is directed towards left side which means the values are decreasing and line has solid point  at 6 so it is included

Hence, the number line shows that -2x≤6 and 2x≥-6

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ1

He buys a jewel for $180 then sells it for $216 find his percentage profit

Answers

The difference between the selling price and the cost price is the profit he earned.

Profit = Selling Price - Cost Price

Profit = $216 - $180

Profit = $36

To find the percentage profit, we need to calculate what proportion of the cost price the profit represents, and express that as a percentage :

Percentage Profit = (Profit : Cost Price) * 100%

Percentage Profit = ($36 : $180) * 100%

Percentage Profit = 0.2 * 100%

Percentage Profit = 20%

Therefore, his percentage profit is 20%.

I AM IN A TEST AND I NEED THE ANSWER SOON!!! PLEASEE!!!

THANK YOU SO MUCH!!

I AM IN A TEST AND I NEED THE ANSWER SOON!!! PLEASEE!!!THANK YOU SO MUCH!!

Answers

Hello,

If Viviana has 2/5 of pasta to share with four friends, you should divide. First change 2/5 to a decimal, 0.4. Now divide 0.4 and 4.

Workspace:


2/5 = 0.4

4 / 0.4 -> 10

Workspace End

Correct Answer:

10

Hope this helps!!
Brainliest??

question:find the angle measure of the missing angle

if you can pls explain ​

question:find the angle measure of the missing angle if you can pls explain

Answers

Answer:

85°

Step-by-step explanation:

So in geometry, the formula to find the sum of all interior angles is denoted as follows:

n = number of sides in the polygon

( n - 2 ) × 180° = sum of the interior angles

Using that formula, a triangle has 3 sides, so

n = 3 , therefore:

= ( 3 - 2 ) × 180°

= 1 × 180°

= 180°

Since the total sum of the interior angles of a triangle all have to add up to 180°, you can create the following equation and solve:

34° + 61° + x = 180°

Solve for x.

the axis of symmetry for the graph of the function f(x)=1/4x2+bx+10 is x=6 what is the vale of 6?

Answers

Considering the vertex of the quadratic equation, it is found that the value of b is of b = 3.

What is the vertex of a quadratic equation?

A quadratic equation is modeled by:

y = ax^2 + bx + c

The vertex is given by:

\((x_v, y_v)\)

In which:

\(x_v = -\frac{b}{2a}\)\(y_v = -\frac{b^2 - 4ac}{4a}\)

The axis of symmetry is of \(x = x_v\). In this problem, we have that a = 0.25 and x_v = 6, hence:

b/2a = 6.

b/0.5 = 6

b = 6 x 0.5

b = 3.

The value of b is of b = 3.

More can be learned about the vertex of a quadratic equation at https://brainly.com/question/24737967

#SPJ1

Solve PLS HELPPPPP PLS HELP PLS HELP PLS HELPP

Solve PLS HELPPPPP PLS HELP PLS HELP PLS HELPP

Answers

Answer:

its -1/6

Step-by-step explanation:

Answer:

The first option

Step-by-step explanation:

First, multiply the fractions in the parentheses. To do this, multiply the numerators (3 * 4) and the denominators (4 * 9)

You get the fraction 12/36, which you can simplify as 1/3.

Now add -1/2 to 1/3.

First, find a common denominator. If you multiply 2 by 3, you get 6. Multiply the numerators by the same number you multiply the denominators by. In -1/2, you multiply 2 by 3 to get 6. So multiply -1 by 3 as well. You get -3/6.

Do the same with 1/3. To get the denominator of 6, you multiplied by 2, so do the same to the top. You get 2/6.

Now just add -3/6 + 2/6 (or subtract 3/6 from 2/6). You get -1/6, so it's the first option.

Write an equation that represents the perimeter of triangle. Combine like terms.
Shows a equilateral triangle with 3x on both top sides and 15 on the bottom.
Perimeter of triangle:
If the perimeter of the triangle is 90, what is the value of x?
x+

Answers

Answer:

x = 12.5

Step-by-step explanation:

The three sides of the triangle have lengths 3x, 3x, and 15.

The perimeter of the triangle is the sum of the three lengths, and it is 90.

Perimeter = 3x + 3x + 15 = 6x + 15

3x + 3x + 15 = 90

6x + 15 = 90

6x = 75

x = 12.5

A poll conducted by a company found the outcome that 5,100 voters would choose candidate A. Assuming a null hypothesis model of the candidates having equal chances, i.e., no differences, what is the probability of getting results at least as extreme as the outcome from the poll

Answers

An oft-repeated water vapor myth is that warm air can “hold” more water vapor than cool air because as the air warms its molecules move farther apart, making room for more molecules.

Step-by-step explanation:

A shampoo manufacturer makes bottles of conditioner with a volume of
325 mL + 0.025 mL. Which bottle does not fall within the specified
tolerance?
Bottle mL
1 325.011
2 324.989
3 324.972
4 325.021
O Bottle 2
O Bottle 1
O Bottle 3
O Bottle 4

A shampoo manufacturer makes bottles of conditioner with a volume of325 mL + 0.025 mL. Which bottle does

Answers

Answer:

Bottle 4

Step-by-step explanation:

took the quiz :p

Karen was cutting out some fabric for a friend. She cut a piece that was 6 cm wide and had an area of 36cm how long was the piece? I’m confused

Answers

The length of piece of fabric is 6 cm.

Since, Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

Given that, Karen was cutting out some fabric for a friend. She cut a piece that was 6 centimeters wide and had an area of 36 square cm.

Here, area of rectangular shaped fabric is Area =Length × Width

36=Length × 6

Length =6 cm

Therefore, the length of piece of fabric is 6 cm.

Learn more about the area here:

brainly.com/question/27683633.

#SPJ1

Find the constant of proportionality from a graph

Find the constant of proportionality from a graph

Answers

Answer: 2

Step-by-step explanation:

The constant of proportionality is the same as the slope of the line. Using the slope formula with the points (0, 0) and (2, 4), \(\frac{4-0}{2-0}=2\).

what does this equal 1+1x8x7x6= please hurry

Answers

Answer:169

Step-by-step explanation: easy math

169

use calculator its so easy

10 is 25% of what number?

Answers

Answer:

40

Step-by-step explanation:

1. Give the rule for translating a point 4 units left and 8 units up. (2 points)

2. After the translation, where is A located? (2 points)

2. After the translation, where is A located? (2 points) Now reflect the figure over the y-axis. Answer the questions to find the coordinates of A after the reflection. 3. Give the rule for reflecting a point over the y-axis. (2 points)

4. What are the coordinates of A after the reflection? (2 points)

5. Is the final figure congruent to the original figure? How do you know? (2 points)

1. Give the rule for translating a point 4 units left and 8 units up. (2 points) 2. After the translation,

Answers

The image of the original figure after the translation and reflection is congruent to the original figure.

Translation over a point is what?

A particular type of transformation on the coordinate plane called translation keeps the size of the point or geometrical shape constant while only changing the position. Along the x-axis and y-axis in the coordinate system, the point or the figure can be moved in any direction, including up, down, right, left, and multiple directions.

1. By taking away 4 from the x-coordinate and adding 8 to the y-coordinate, we can translate a point 4 units left and 8 units up.

2. Point A after translation is situated at (-2, 9).

3. We negate the x-coordinate and leave the y-coordinate unaltered to indicate a point over the y-axis.

4. Point B is obtained by reflecting point A over the y-axis (2, 9).

5. Indeed, the resulting representation is consistent with the original figure since the rigid transformations of translation and reflection maintain angles and distances. As a result, the original figure's picture after translation and reflection corresponds to the original figure.

To know more about translate a point visit:

https://brainly.com/question/30613034

#SPJ1

which of the following years were leap years according to the calendar used before the time of pope gregory: 1000, 1492, 1600, 1776?

Answers

The probability 1000, 1600, and 1776 were leap years according to the calendar used before the time of pope gregory, but 1492 was not.

The calendar used before the time of Pope Gregory was the Julian Calendar, which was introduced by Julius Caesar in 46 BC. This calendar used a system of leap years, where an extra day was added to the month of February every four years. This was to account for the fact that a solar year is slightly longer than 365 days. For a year to be a leap year under this system, it must be divisible by 4. Therefore, 1000, 1600, and 1776 were leap years according to the Julian Calendar, but 1492 was not since it is not divisible by 4. This calendar was replaced by the Gregorian Calendar in 1582, which uses a slightly modified leap year system. Under this system, a year is only a leap year if it is divisible by 4, but not if it is divisible by 100, unless it is also divisible by 400. Therefore, 1600 would still be a leap year under the Gregorian Calendar, but 1700, 1800, and 1900 would not be.

Learn more about probability here

https://brainly.com/question/30034780

#SPJ4

At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship B is sailing north at 15 knots. How fast (in knots) is the distance between the ships changing at 5 PM

Answers

Answer:

The distance between the ships changing at 5 PM is 21.355 knots

Step-by-step explanation:

let x = distance traveled by ship A

y = distance traveled by ship B

Let z be the distance between Ship A and Ship B

Ship A is sailing west at 16 knots and ship B is sailing north at 15 knots.

Refer the attached figure

x=50+16t

y = 15t

At 5 Pm

x=50+16(5)=130

y = 15(5)=75

We will use Pythagoras theorem

\(z^2=x^2+y^2\)

At 7 pm \(z = \sqrt{(130)^2+(75)^2}=150.08\)

\(z^2=(50+16t)^2+(15t)^2\)

Differentiating both sides

\(2z \frac{dz}{dt}=2(50+16t)(16)+2(15t)(15)\\ \frac{dz}{dt}=\frac{(50+16t)(16)+(15t)(15)}{z}\\ \frac{dz}{dt}=\frac{(50+16(5))(16)+(15(5))(15)}{150.08}\\ \frac{dz}{dt}=21.355\)

Hence The distance between the ships changing at 5 PM is 21.355 knots

At noon, ship A is 50 nautical miles due west of ship B. Ship A is sailing west at 16 knots and ship

I'm doing algebra and I need help

3p+q=7
2p-2q= -6

sorry about the pic my handwriting is bad but please help me​

I'm doing algebra and I need help3p+q=72p-2q= -6sorry about the pic my handwriting is bad but please

Answers

Answer:

3p + q =7

2p - 2q = -6

6p +2q = 14

2p -2q = -6

8p = 8

p = 1

so q = 4

Step-by-step explanation:

Answer:

P= 1, q= 4

Step-by-step explanation:

3p + q = 7 -------------(1)

q=7-3p ------------------(1a)

2p- 2q= -6 -------------(2)

Substitute (1a) in (2)

We have :

2p - 2( 7- 3p) = -6

2p -14 + 6p = -6

8p= 14-6= 8

P= 8/8 =1

From, q=7 -3(1)

q= 7-3

q= 4

Help me please I need the help

Help me please I need the help

Answers

Answer:

p - 3

Step-by-step explanation:

Key expression: 3 fewer than

Fewer than = subtract from

subtract 3 from a number, p

This means that the expression would be p - 3

Because you are subtracting 3 from a number ( p )

Write your answer as a fraction or mixed number in simplest form. 4 6/7 ÷ 9

Answers

The value of the given expression in simplest form is  34/63.

Mixed fraction

It is a form of a fraction which is defined as the ones having a fraction and a whole number.

Example: 2(1/7), where 2 is a whole number and 1/7 is a fraction.

To convert 2(1/7) into improper fraction , we will multiply 7 and 2 and then add 1 to it to get the numerator part and 7 will be the denominator of the fraction that is 15/7.

Given expression:

4(6/7) ÷ 9

We have to find the value of the given expression in simplest form.

We can write the mixed fraction 4(6/7) as 34/7

(34/7)  ÷ 9

(34/7)*(1/9) = (34*1)/(7*9) = 34/63

To learn more about improper fraction, here:-

https://brainly.com/question/21449807

#SPJ1

What numbers are missing from the pattern below? Enter your answer, using
a comma to separate each number.
108, 5, 43, 63, ?, ?, ?, ?, 108, 5, 43, 63
Answer here

Answers

To find the missing numbers in the pattern, we need to look for a rule that generates the sequence. One possible rule is:

1. Start with 108.
2. Subtract 103 and divide by 4 to get the next number.
3. Add 38 to the next number to get the next number.
4. Subtract 20 from the next number to get the next number.
5. Repeat steps 2-4 three more times to get the remaining missing numbers.

Using this rule, we can find the missing numbers:

108, 5, 43, 63, 15, 53, 33, 75, 108, 5, 43, 63

Therefore, the missing numbers are 15, 53, 33, and 75.

u is between h and g. if hu=4(x+5), hg=15(x-3), and ug=2(x+8), find the value of x and hg

Answers

The value of x is 9 and the value of HG is 90.

What is Line segment ?

A line segment is a portion of a straight line that is bounded by two distinct endpoints. It is a finite section of a line that has a definite length and direction. A line segment is named by its two endpoints, which are the two points that mark the beginning and end of the segment.

Given that U is between H and G, we can use the properties of segment addition to set up the following equation:

HU + UG = HG

Substituting the given values of HU, UG, and HG:

4(x + 5) + 2(x + 8) = 15(x - 3)

Simplifying the equation:

4x + 20 + 2x + 16 = 15x - 45

6x + 36 = 15x - 45

Subtracting 6x from both sides to isolate the x term:

36 = 9x - 45

Adding 45 to both sides:

81 = 9x

Dividing both sides by 9 to solve for x:

x = 9

Now, substituting the value of x into the equation for HG:

HG = 15(x - 3)

HG = 15(9 - 3)

HG = 15(6)

HG = 90

So, the value of x is 9 and the value of HG is 90.

To learn more about Line segment from given link.

https://brainly.com/question/17006091

#SPJ1

Evaluate.

8−2⋅3+7

PLZ PLZ HURRY

Answers

8-2•3+7= 8-6+7= 2+7=9 you have to use Pemadas

Answer:

9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction

Step-by-step explanation:

Step 1: Define expression

8 - 2 · 3 + 7

Step 2: Evaluate

Multiply:                    8 - 6 + 7Subtract:                   2 + 7Add:                          9

I need help please with step by step it would help me a lot

I need help please with step by step it would help me a lot

Answers

Answer:

Domain: (-infinity, +infinity) since you can pick any x values.

Range: [0, +infinity) since it does not go below the x axis.

Step-by-step explanation:

The graph is a parabola given by \(y=x^2\)

lets pick a few x values:

x = 1 gives us y = 1^2, which = 1

x = -1 gives us y = (-1)^2, which = 1

The parabola's domain is any x value as it extends to infinity.

For its range, you can see that it does not go below the x axis at x = 0. Therefore, the range of the parabola is from [0, infinity]

f(x)=(x-1)(x-2)(x-3)(x-4)(x-3)(x-2)(x-2)/[(x-2)(x-4)(x-2)]

Answers

Answer:

Step-by-step explanation:

(x-2)(x-2)(x-4)

I need help ASAP please!! Giving brainliest!!!

I need help ASAP please!! Giving brainliest!!!

Answers

It’s the third option

What are the coordinates of the point on the directed line segment from ( − 7 , 9 ) (−7,9) to ( 3 , − 1 ) (3,−1) that partitions the segment into a ratio of 2 to 3?

Answers

The coordinates of the point on the directed line segment from (-7, 9) to (3, -1) that partitions the segment into a ratio of 2 to 3 are (-3, 5).

To find the coordinates of the point that divides the directed line segment from (-7, 9) to (3, -1) into a ratio of 2 to 3, we can use the section formula.

Let's label the coordinates of the desired point as (x, y). According to the section formula, the x-coordinate of the point is given by:

x = (2 * 3 + 3 * (-7)) / (2 + 3) = (6 - 21) / 5 = -15 / 5 = -3

Similarly, the y-coordinate of the point is given by:

y = (2 * (-1) + 3 * 9) / (2 + 3) = (-2 + 27) / 5 = 25 / 5 = 5

Therefore, the coordinates of the point that divides the line segment in a ratio of 2 to 3 are (-3, 5).

To understand this conceptually, consider the line segment as a distance from the starting point (-7, 9) to the ending point (3, -1). The ratio of 2 to 3 means that the desired point is two-thirds of the way from the starting point and one-third of the way from the ending point. By calculating the x and y coordinates using the section formula, we find that the desired point is located at (-3, 5).

For more such questions on segment

https://brainly.com/question/280216

#SPJ8

There is a picture inside the question pls help asap!!

Answers

There isn’t a picture…

Explanation:
Could I get brainliest for my amazing efforts.

The college hiking club is having a fund raiser to buy new equipment for fall and winter outings. The club is selling Chinese fortune cookies at a price of $1 per cookie. Each cookie contains a piece of paper with a different number written on it. A random drawing will determine which number is the winner of the dinner for two at a local Chinese restaurant. The dinner is valued at $35. Since the fortune cookies were donated to the club, we can ignore the cost of the cookies. The club sold 743 cookies before the drawing.
(a) Lisa bought 12 cookies. What is the probability she will win the dinner for two? (Round your answer to three decimal places.)
What is the probability she will not win? (Round your answer to three decimal places.)
(b) Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? (Round your answer to two decimal places.)$
How much did she effectively contribute to the hiking club? (Round your answer to two decimal places.)$

Answers

Answer:

a)

- the probability she will win the dinner for two is 0.016

- the probability she will not win the dinner for two is 0.984

b)

- Lisa's expected earnings is $0.57

- Money she effectively contributed to the hiking club is $11.43

Step-by-step explanation:

Given the data in the question;

fortune cookies; $1 per cookies

club sold 743

a) Lisa bought 12 cookies. What is the probability she will win the dinner for two?

P( she will win ) = Number of cookies bought / Total number of cookies

P( she will win ) = 12 / 743

P( she will win ) = 0.01615 ≈ 0.016

Therefore,  the probability she will win the dinner for two is 0.016

P( she will not win ) = 1 - P( she will win )

P( she will not win ) = 1 - 0.016

P( she will not win ) = 0.984

Therefore,  the probability she will not win the dinner for two is 0.984

b)  Lisa's expected earnings can be found by multiplying the value of the dinner by the probability that she will win. What are Lisa's expected earnings? (Round your answer to two decimal places.)$

given that value of dinner = $35

P( she will win ) = 0.01615

so

Lisa's earning = $35 × 0.01615

Lisa's earning = $0.57

Therefore, Lisa's expected earnings is $0.57

- How much did she effectively contribute to the hiking club? (Round your answer to two decimal places.)$

Lisa's contribution = Money she paid for cookies - money from expected earnings

Lisa's contribution = ( 12 × $1 ) -  $ 0.57

Lisa's contribution = $12 -  $0.57

Lisa's contribution = $11.43

Therefore, Money she effectively contributed to the hiking club is $11.43

PLEAAE HELP ITS EASY!!!! WORTH LOTS!!How many 1/8 are in 1 and 1/4
WRITE YOUR ANSWER AS A FRACTION NOT A MIXED NUMBER!!
PUt correct answer too please

Answers

Step-by-step explanation:

We need to find (1 1/4) / (1/8).

(1 1/4) / (1/8)

= (5/4) / (1/8)

= (5/4) * 8

= 40/4

= 10.

Answer:

10/8 if not, I am sorry...

Other Questions
inSwift, lets say we have a table view of 10 rows and i want tochange the rows of 9 & 10 to rowheights 0 to hide it from theview. rewrite this logic to hide the last two rows in the tableview what is there about pearl that has caused dimmesdale ""many an alarm""? Alberto invests $4,571 in a retirement account with a fixed annual interest rate of 3% compounded 6 times per year. What will the account balance be after 18 years?A) $7,833.32B) $7,162.06C) $7,602.38D) $6,985.59 for a multiple regression equation, the t-test for individual slope parameters _____ , and the f-test for the overall significance of the regression _____ Consider a firm that has a total cost function that increases linearly with output and consequently the firm experiences constant marginal cost. Assuming that total cost is denoted TC and that a, b are constants, which of the following could be the firm's total cost function? (a) TC = a + bQ + bQ (b) TC = a + bQ - bQ (c) TC = a + bQ (d) TC = a - bQ mention two features of the house visible in the advertisement NO LINKS PLEASE. Use the reading below to answer the question. Analysis: How would you describe the tone of this section of President Kennedys speech? Cite textual evidence to support your claims. ...Neither the United States of America nor the world community of nations can tolerate deliberate deception and offensive threats on the part of any nation, large or small. We no longer live in a world where only the actual firing of weapons represents a sufficient challenge to a nation's security to constitute maximum peril. Nuclear weapons are so destructive and ballistic missiles are so swift, that any substantially increased possibility of their use or any sudden change in their deployment may well be regarded as a definite threat to peace. For many years both the Soviet Union and the United States, recognizing this fact, have deployed strategic nuclear weapons with great care, never upsetting the precarious status quo which insured that these weapons would not be used in the absence of some vital challenge. Our own strategic missiles have never been transferred to the territory of any other nation under a cloak of secrecy and deception......But this secret, swift, and extraordinary buildup of Communist missiles--in an area well known to have a special and historical relationship to the United States and the nations of the Western Hemisphere, in violation of Soviet assurances, and in defiance of American and hemispheric policy--this sudden, clandestine decision to station strategic weapons for the first time outside of Soviet soil--is a deliberately provocative and unjustified change in the status quo which cannot be accepted by this country if our courage and our commitments are ever to be trusted again by either friend or foe. The principle of _______ suggests that accountants and managers should provide not only financial data but also its interpretation and explanations for that data Red gold i a gold-copper alloy ued to make jewelry. A piece of jewelry made of red gold weigh 9. 21 g and ha a volume of 0. 559 cm'. Gold ha a denity of 19. 3 g/em' and copper ha a denity of 8. 96 g/cm?. Calculate the percentage by ma of each metal in the jewelry. Aume the total volume of the jewelry i the um of the volume of the two metal it contain Your client is 40 years old. She wants to begin saving for retirement, with the first payment to come, one year from now. She can save $5,000 per year, and you advise her to invest it in the stock market, which you expect to provide an average return of 9% in the future. If she follows your advice, how much money will she have at 65? How much will she have at 70? She expects to live for 20 years, if she retires at 65, and for 15 years, if she retires at 70. If her investments continue to earn the same rate, how much will she be able to withdraw at the end of each year, after retirement, at each retirement age? Distinguish between sociologically based theories versus psychologically based theories A jet aircraft with a mass of 4,250 kg has an engine that exerts a force (thrust) equal to 60,100 N.(a) What is the jet's acceleration when it takes off? (Give the magnitude.) m/s2(b)What is the jet's speed after it accelerates for 9 s? (Assume it starts from rest.) m/s(c) How far does the jet travel during the 9 s? m What are the functions of the digestive system? Select all that apply.(A)Wastes are eliminated from the body (by the excretory system)( B) Breaks down food into molecules the body can use.( C ) Moves oxygen from the outside environment into the body.( D ) Helps the body moveANYONE HELP PLEASE? can someone help me i don't understand ;- I will literally do anything.. just pls help me!!a snack company releases a special edition of chips in only one major city to see how well it does. what is this an example of?A. Idea screeningB. Market testingC. Commercialization and launchD. Idea generationA P E X a bicycle and ridder together have a momentum of 318 kg*m/s and are moving at 8 m/s l. what is their combined mass? An overpass and traffic interchange is proposed for a certain intersection. The traffic this year will average 10,000 vehicles per day and is expected to increase at the rate of 10 percent per year. This growth rate is expected to continue for the next 20 years. The interchange is estimated to cost $2,000,000. Maintenance costs are estimated to be about the same with the interchange as without it. The savings in time, fuel, wear and tear, accidental property dam- age, and personal injury are expected to average about $0.02 per vehicle. Assume all savings accrue at EOY. The project can be financed at 7 percent interest on a loan and road bond money. Is the project justifiable on the basis of the information given? (Ans. Savings, P = $1,796,000) 3. Richard owns a plumbing company. He charged one client $72 for two hours of work and another client $162 forfive hours of work.b. What information were you given?a. Define your variablesc. Create an equation using the information you were given.d. How much does Richard charge per hour? e. If Richard was working for you from 11:00am to2:30pm, how much would he charge you? 1. a. Write out the first five terms of the sequence, determine whether the sequence converges, and if so find its limit. (5 pts) { (-1)"+11 n2 n=1 b. Use an-1/2, to show that the given sequence {2,} is strictly increasing or strictly decreasing. (5 pts) {ne *}n=1 Solar World Incorporated is a job-order manufacturer. The company uses a predetermined overhead rate based on direct labor hours to apply overhead to individual jobs. For the current year, estimated direct labor hours are 133,000 and estimated factory overhead is $784,700. The following information is for September. Job X was completed during September, while Job Y was started but not finished $ 24,000 53,400 105,600 $ 157,000 $ 74,000 68,000 September 1, inventories: Materials Work-in-process (All Job X) Finished goods Materials purchases Direct materials requisitioned: Job X Job Y Direct labor hours: Job X Job Y Labor costs incurred: Direct labor ($6.00 per hour) Indirect labor Factory supervisory salaries Rental costs: Factory Administrative offices Total equipment depreciation costs: Factory Administrative offices Indirect materials used 7,000 5,500 $ 75,000 24,200 11,100 $ 9,300 3,200 $ 10,400 2,800 $ 17.800 The total ending work-in-process for September is: 68,000 7,000 5,500 Job Y Direct labor hours: Job X Job Y Labor costs incurred: Direct labor ($6.00 per hour) Indirect labor Factory supervisory salaries Rental costs: Factory Administrative offices Total equipment depreciation costs: Factory Administrative offices Indirect materials used $ 75,000 24,200 11,100 $9,300 3,200 $ 10,400 2,800 $ 17,800 The total ending work-in-process for September is: $157,300. O $68,000 $101,000. $53,400. O $133,450