True or False? I need help asap please

True Or False? I Need Help Asap Please

Answers

Answer 1

Answer:

True

Step-by-step explanation:

Angles 1 and 5 match each other; they are congruent and in the same positions. There are therefore corresponding.

Answer 2
The correct and to the problem is true

Related Questions

Find the equation of the lines in point-slope form with the
following properties.
slope = -5 and passes through (4, -1).

Find the equation of the lines in point-slope form with thefollowing properties.slope = -5 and passes

Answers

Answer:

  y +1 = -5(x -4)

Step-by-step explanation:

You want the point-slope equation of the line with slope -5 through point (4, -1).

Point-slope equation

The point-slope equation of a line has the form ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

Application

Substituting m=-5 and (h, k) = (4, -1), the equation is ...

  y -(-1) = -5(x -4) . . . . . . values substituted

  y +1 = -5(x -4) . . . . . . . simplified a bit

Charlotte has a peice of string that is 14 feet long. She cuts it into pieces that are each 1/3 foot long. How many cut pieces of string does charlotte have?

Answers

Answer:

42

Step-by-step explanation:

Since each cut is 1/3 of a foot, you can tell that it will take 3 pieces to make 1 foot. Based on that ratio, you can do 14*3, which is 42 pieces.

The answer is 42 hope this helps

Cho f(x, y) = x cos(xy). Tính f”xy(π2, −1)

Answers

because the cos(xu

y) so the formula have to be cos

In mathematics, the radical sign, radical symbol, root symbol, radix, or surd is a symbol for the square root or higher-order root of a number. The square root of a number x is written as {\displaystyle {\sqrt {x}}, } while the nth root of x is written as {\displaystyle {\sqrt[{n}]{x}}.} Wi

Answers

Answer:

Step-by-step explanation:

Answer:

What are you asking?

The net price equivalent rate of 9 / 15 / 18 is

Answers

Answer:

f so final percentage

= .91(.85)(.82) = .63427

or 63.427% of the original price

Step-by-step explanation:

Jessica's room has a scale factor of 2 in : 10 ft. What are the new dimensions of her room?

Answers

Answer:

If scale factor of any object is \(\[x\]\) then all dimensions multiplied by \(\[x\]\).

Step-by-step explanation:

• The dimensions of Jessica’s room is given that is 10 ft  and as the mentioned above , scale factor multiplied with dimensions to give the actual dimensions.

• Therefore new dimensions of Jessica’s room is \(\[10.(2)=20ft\]\)

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Which of the following source documents is used to summarize all of the costs incurred for a specific job?

Answers

Answer:

job cost sheet.

Step-by-step explanation:

When planning or working on a specific project/job all the actual costs that are incurred for that job are written down in the job cost sheet. This report is an entire compilation that should be created by the accounting department and then distributed to all the members of the management department who then analyze it and determine whether the job was correctly bided. This sheet  gets updated as the job is undergoing and fully completed when the job is closed.

Look for factors that will help you determine what type of economy exists in Country A.

Based on the clues in this passage, what type of economy does Country A have?

developed
developing
transitioning
command

Answers

Answer is on quizlet

developing:

a low GDP


an economy based on agriculture

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Add.
0.6+(-2.1)
Enter your answer, as a decimal, in the box.

Answers

Answer:

0.6-2.1=1.5

Step-by-step explanation:

0.6-2.1=-1.5

0.6-2.1= - I2.1-0.6I

2.1

-0.6

--------

1.5

18. What is the probability that the student plays football?
(a) 35 /66 (b) 20 /33 (c) 13 /33 (d) 3 /22

18. What is the probability that the student plays football?(a) 35 /66 (b) 20 /33 (c) 13 /33 (d) 3 /22

Answers

The probability that the student plays football is 20/33.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The more likely the event is to happen, the closer the probability value would be to 1. The less likely it is for the event not to happen, the closer the probability value would be to zero.

The probability that the student plays football = total number of students who play football / total number of students

total number of students who play football = 26 + 3 + 5 + 6 = 40 total number of students = 26 + 3 + 5 + 6 + 9 + 7 + 10=  66

The probability that the student plays football = 40/66 = 20/33

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Part A (4 pt): Fill in the missing steps to solve the
inequality. 2x+2/+428
-4-4
√x+25.
2
xs
2
XS
√x+2
+2 2.
1x2 2
(0) (0)²2
-2 -2
Question 7
Part B (2 pt): Draw the solution to the equation
on the number line provided. (Remember to
Include
your open/closed dots)
-24-20-16-12-8 -4 0 4 8 12 16 20 24
C

Part A (4 pt): Fill in the missing steps to solve theinequality. 2x+2/+428-4-4x+25.2xs2XSx+2+2 2.1x2

Answers

The solution to the inequality is: x <= -8 or x >= -8 and [-24, -11] U [7, 24] for number line.

What is inequality?

An inequality is a mathematical statement indicating that one expression is less than or greater than another expression. It involves the use of inequality symbols such as <, >, ≤, or ≥ to compare two values.

|(1/4)x + 2| + 4 >= 8

First, we isolate the absolute value term on one side by subtracting 4 from both sides:

|(1/4)x + 2| >= 4

Next, we split the inequality into two cases: one where the quantity inside the absolute value is positive, and one where it is negative:

(1/4)x + 2 >= 0 or (1/4)x + 2 <= 0

Solving for x in each case, we get:

(1/4)x >= -2 or (1/4)x <= -2

x >= -8 or x <= -8

Therefore, the solution to the inequality is:

x <= -8 or x >= -8

Or, in interval notation:

(-∞, -8] U [-8, ∞)

B. -24 -20 -16 -12 -8 -4 0 4 8 12 16 20 24

And the solution would be:

[-24, -11] U [7, 24]

The closed dot at -24 indicates that -24 is included in the solution, while the open dot at -11 indicates that -11 is not included.

The closed dot at 7 indicates that 7 is included, while the closed dot at 24 indicates that 24 is included in the solution.

Therefore, the solution to the inequality is: x <= -8 or x >= -8 and [-24, -11] U [7, 24] for number line.

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find an equation that passes through (1 ,2) and is parallel y=3x-9

Answers

Answer:

A line that is parallel to y = 3x - 9 will have the same slope as the given line. The slope of y = 3x - 9 is 3. Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point (1, 2)

Substituting the values we get:

y - 2 = 3(x - 1)

Simplifying the equation we get:

y - 2 = 3x - 3

y = 3x - 1

Therefore, the equation of the line that passes through (1, 2) and is parallel to y = 3x - 9 is y = 3x - 1 .

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Pedro earns $94.50 for 6 hours of work. If he makes a constant hourly wage, which table represents the relationship between the number of hours he works and his total earnings?
please help me

Pedro earns $94.50 for 6 hours of work. If he makes a constant hourly wage, which table represents the

Answers

Answer:

The answer is most likely A.

The reason why, is because since the earning in 6 hours is $94.50, so the hourly wage would be, $15.75 because:

94.50/6 = 15.75

Graph B, for the first hour, the amount of dollars is correct, but in 11 hours, it says 25.75, which is not correct so Graph B cannot be it.

Graph C, shows that at hour 1, that it is 15.75 dollars, but at hour 2 16.75, as well with hour 3, 17.75. The graph is showing an increase of 1 dollar per hour, which is not correct so graph C is not it.

Graph D shows that at hour 6, there is $94.50, which is correct, but at hour 12, its 100.50. This is not true because , the hour has increased by 6, and when it increased by 6, the amount of pay increased by 6 as well, which is not the right way in which you would do so.

Option A is correct!

Step-by-step explanation:

Hope it helps! =D

Solve
-14 - 7
A. -21

B. -7

C. 7

D. 21

Answers

Answer:

since negative and negative are plus we add it but not

change the sign

Step-by-step explanation:

so the answer is -21

hope I helped

The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?

Answers

The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.

To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.

Plugging in the coordinates of the point P = (1/2, y), we get:

(1/2)^2 + y^2 = 1

1/4 + y^2 = 1

y^2 = 1 - 1/4

y^2 = 3/4.

To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).

Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.

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What is the position of A on the number line below?
Write your answer as a fraction or mixed number.

What is the position of A on the number line below?Write your answer as a fraction or mixed number.

Answers

The position of A on the number line is

What is number line?

Number lines are the horizontal straight lines in which the integers are placed in equal intervals. All the numbers in a sequence can be represented in a number line.

As seen of the number line above , it is numbered in the sequence, 1,.. 2,...3 and the intervals are indicated.

Between 0 and 1 there are 5 lines, these means that each line will be 4/5

If 1 line is 4/5 , therefore ;

4 lines will be 4 × 4/5

= 16/5 = 3 1/2

Therefore the position of A on the number line is 3 1/2

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A soccer ball travels upward from a height of 11 feet with an initial velocity of 20
feet per second. The quadratic function h (t) = -16t² + 20t+11 models the height
of the ball, where h (t) is the height, in feet, of the soccer ball and t is the time that
ball has been in the air, in seconds. When is the soccer ball above 15 feet?
A. The soccer ball is above 15 feet between 0 seconds and 0.5 second.
B. The soccer ball is above 15 feet between 0.5 second and 1 second.
C. The soccer ball is above 15 feet between 0:25 second and 1
second.
D. The soccer ball is above 15 feet between 0 seconds and 0.25 second.

Answers

The soccer ball is above 15 feet between 0.25 seconds and 1 second.

To determine when the soccer ball is above 15 feet, we need to find the values of t that satisfy the inequality h(t) > 15.

Given the quadratic function h(t) = -16t² + 20t + 11, we can rewrite the inequality as follows:

-16t² + 20t + 11 > 15

Subtracting 15 from both sides:

-16t² + 20t - 4 > 0

Simplifying further:

-16t² + 20t - 4 = -4(4t² - 5t + 1) = -4(t - 1)(4t - 1) > 0

Now, we can solve for t by finding the values that make the inequality true. We have two factors: (t - 1) and (4t - 1).

Setting each factor greater than zero and solving for t:

t - 1 > 0 => t > 1

4t - 1 > 0 => 4t > 1 => t > 1/4

So, we have t > 1 and t > 1/4. To satisfy both conditions, t must be greater than the maximum of 1 and 1/4, which is 1.

Therefore, the soccer ball is above 15 feet for t > 1 second.

The correct answer is:

C. The soccer ball is above 15 feet between 0.25 seconds and 1 second.

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2x+4y-10 when x=2 and Y= -3

Answers

Answer:

- 18

Step-by-step explanation:

Step 1:

2x + 4y - 10        Equation

Step 2:

2 ( 2 ) + 4 ( - 3 ) - 10       Input x and y values

Step 3:

4 - 12 - 10         Multiply

Answer:

- 18         Combine Like Terms

Hope This Helps :)

Answer: -18

Order of Operations:

Algebra 1

Equation: 2x + 4y - 10

Include x and y:

2 x 2 + 4 - (-3) - 10

Multiply the numbers:

4 - 12 - 10

Combine like terms.

You get -18

solve for x. solve for x. solve forx.

solve for x. solve for x. solve forx.

Answers

x = 7
hope this helps

Answer: I think your answer should be x=7, please mark me as brainliest! :D

Step-by-step explanation:

Solve the system of equations -x-y=-2 and 5x + 7y= 28 by combining the
equations.

Solve the system of equations -x-y=-2 and 5x + 7y= 28 by combining theequations.

Answers

The value of x = -7 and y = 9 from the system of equations .

What is System of Equation ?

A finite collection of equations for which common solutions are sought is referred to as a set of simultaneous equations, often known as a system of equations or an equation system.

simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

To create an equation in one variable using the elimination approach, you may either add or subtract the equations. To remove a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are in equality.

The equations are :

-x - y = -2          (i)

and

5x + 7y = 28        (ii)

multipling eqation (i) with 5 and then adding both equations we get,

-5x - 5y +5x + 7y = -10 + 28

⇒ 2y = 18

⇒ y = 9

Again, -x -9 = -2

or, x = -7

The value of x = -7 and y = 9 from the system of equations

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9. Find the measure of angle
a
36°
57°

9. Find the measure of anglea3657

Answers

Answer:

no clue bro

Step-by-step explanation:

4. What is Probability?
(ii) State the axioms of probability
(iii)Two fair dice are thrown, what is the probability of getting
(a) the sum of 9
(b) two odd numbers
(c) two prime numbers
(d) two factors of 12
4c. What is Statistics?

Answers

(i) Probability is a notion in Mathematics which describes the likelihood of an event or a set of events occurring. It is a measure of uncertainty when estimating the outcome of an experiment or an observation.

(ii) The axioms of probability are:

the non-negativity (that the probability of an event is greater than or equal to zero), and

the additivity (that the probability of the union of two or more mutually exclusive events is equal to the sum of their individual probabilities).

(iii) When two fair dice are thrown the probability of getting:

a) The sum of 9 = 1/9

b) Two odd numbers = 1/4

c) two prime numbers = 1/9

d)  two factors of 12 = 1/9

(iv) Statistics is a branch of mathematics that deals with data collection, analysis, interpretation, presentation, etc.

How to find probability when two dice are thrown?

To find probability when two dice are thrown, we have:

(a) The sum of 9:

We will estimate the number of ways to get a sum of 9: (3,6), (4,5), (5,4), and (6,3) = 4 ways

A die has 6 possible outcomes, the total number of possible outcomes is 6x6=36 = 4/36 = 1/9.

(b) Two odd numbers:

We count the number of ways to get two odd numbers: (1,3), (1,5), (1,7), (3,1), (3,5), (3,7), (5,1), (5,3), and (5,7).

possible outcomes = 9,

So, the total possible outcomes = 6x6=36 = 9/36 = 1/4.

(c) Two prime numbers

We estimate the number of ways we can get two prime numbers: (2,3), (3,2), (5,2), and (2,5)

possible outcomes = 4,

So, the total possible outcomes = 6x6 =36 = 4/36, = 1/9.

(d) Two factors of 12:

We count the number of ways and divide by the total possible outcomes.

The factors of 12 are 1, 2, 3, 4, 6, and 12: (2,6), (3,4), and (4,3) = 3 ways

possible outcomes = 6

Therefore, the total number of possible outcomes = 6x6=36 = 3/36, = 1/12

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Exercise 4.3
1. Given f=x^2 y; the change in for the total differential of fis given by df = Pdx+Qdy.
Find P, Q at x=1 and y=-1
(Ans: P= -2; Q=1)

Question one

Exercise 4.31. Given f=x^2 y; the change in for the total differential of fis given by df = Pdx+Qdy.Find

Answers

By using the concept of differentiation, it can be calculated that

value of P is -2 and value of Q is 1

What is differentiation?

Differentiation is the process where  the instantaneous rate of change of function can be calculated based on one variable. Differentiation is a very important tool in calculus

Here differentiation is used

f(x) = \(x^2y\)

\(df = 2xydx+x^2dy\)

Here P = 2xy, Q = \(x^2\)

At x = 1, y = -1

P = 2(1)(-1) = -2

Q = \((-1)^2\) = 1

So value of P is -2 and value of Q is 1

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Michele is starting a new pool-cleaning business. It costs her $85 to purchase supplies. Michele charges $40 each time she cleans a pool. Which equation can be used to determine the profit, y, Michele earns after she cleans x pools?

y=40x- 85
y=40x+ 85
y=85x- 40
y=85x+ 40​

Answers

Answer:

Option A : y = 40x - 85 is the correct answer.

Step-by-step explanation:

Given that:

Cost of purchasing supplies = $85

Cost charged for cleaning a pool = $40

Let,

x be the number of pools cleaned.

y be the profit

Profit = Cost of pools cleaned - purchase price of supplies

y = 40x - 85

Hence,

Option A : y = 40x - 85 is the correct answer.

Which statement best explains whether the following table represents a linear or nonlinear function?

x −2 −1 0 1 2
y −4 −2 0 2 −2

A - The table represents a nonlinear function because there is not a constant rate of change in the output values.
B - The table represents a nonlinear function because there is not a constant rate of change in the input and output values.
C - The table represents a linear function because there is a constant rate of change in the input and output values.
D - The table represents a linear function because there is not a constant rate of change in the input and output values.

Answers

The correct option is,

The table represents a linear function because there is not a constant rate of change in the input and output values.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The table is shown in figure.

Now,

For Table;

The equation of line is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - (-4) = (-2 - (-4)) / (- 1 - (-2))  (x - (-2))

⇒ y + 4 = 2/1 (x + 2)

⇒ y + 4 = 2 (x + 2)

⇒ y + 4 = 2x + 4

⇒ y = 2x

Thus, The table represents a linear function because there is not a constant rate of change in the input and output values.

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PLEASE HELP 50 POINTS AND BRAINLIEST FOR WHOEVER ANSWERS CORRECTLY!!! PLEASE HELP FAST!
1. Sharon and Geordi both worked hard over the summer. Together they earned a total of $525. Geordi earned $75 more than Sharon.
(a) Write a system of equations for the situation. Use s for the amount Sharon earned and g for the amount Geordi earned.
(b) Graph the equations of the system on the graph provided

PLEASE HELP 50 POINTS AND BRAINLIEST FOR WHOEVER ANSWERS CORRECTLY!!! PLEASE HELP FAST!1. Sharon and

Answers

Answer:

s + g = 575

g = 75 + s

g = 325

s = 250

Step-by-step explanation:

Given that :

Total amount earned by Sharon and Geordi = $525

Also, Geordi earned $75 more than Sharon

Let amount earned by Sharon = s

Amount earned by Geordi = g

Equations :

s + g = 575 - - - equation 1

g = 75 + s - - - equation 2

Put g = 75 + s in equation 1

s + 75 + s = 575

2s + 75 = 575

2s = 575 - 75

2s = 500

s = 250

g = 75 + s

g = 75 + 250

g = 325

plz i need help asappppppppp

plz i need help asappppppppp

Answers

i think the answer is -5???

Answer:

-10

Step-by-step explanation:

what is 999.09344471 rounded to the nearest square kilometer?

Answers

The nearest kilometers to 999.09344471 km is 1000 km.

Given value is 999.09344471 Km.

We have to calculate the round off value to the nearest kilometers. we know that after the decimal if the value of tenth place is 5 or bigger than 5 then we add 1 to the tens place digit, this is the fundamental rule of rounding off.

Now on following this rule from the very right hand side up to the tenth place digit we come to the conclusion that only  the value after the decimal (934) is to be rounded off which is (900).

So 999.09344471 km is finally becomes 999.900 km after rounding of to nearest hundredth value.

Again rounding off 999.900 km to nearest km so it becomes 1000 km.

The nearest kilometers to 999.09344471 km is 1000 km.

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The equation of the piecewise defined function f(x) is below. What is the value of f(1)?

The equation of the piecewise defined function f(x) is below. What is the value of f(1)?

Answers

f(1) = -1

= -(x^2)
= -(1)
= -1

The value of the f(1) should be -1 when the  equation of the piecewise defined function f(x).

Calculation of the value of f(1):

here first we are required to determine which expression to use for f(1). The first function does not involve 1, because it is <, and not ≤

And,

The second functions involved 1, because it has a ≤ that  meaning greater than or equal to, so this is the function we must use.

So, it can be like

f(1) = -1

= -(x^2)

= -(1)

= -1

hence,

The value of the f(1) should be -1 when the  equation of the piecewise defined function f(x).

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Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1

Answers

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

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Which of the following statements are always true? A) If f(t) is increasing, then the left-hand sum gives an overestimate of the integral from a to b of f(t)dt. B) If f(t) is concave up, then the left-hand sum gives an overestimate of the integral from a to b of f(t)dt. ____ are neutron stars that have magnetic fields 100 times stronger than the average neutron star. Need your help, if you could help thanks! You must give careful consideration before adding text to a placeholder because once text has been entered into a placeholder, the placeholder cannot be deleted.TrueFalse The ratio of A ABC to ADEF is 6/5HELP PLZZZZ!!!! Which group was more likely to look for new forms of entertainment?- The Lower Class- The Working Class- The Middle Class- The Poor Class(I'm specifically looking for the Apex Learning answer if anyone can help me) MARKING BRAINLEIST AND 100 POINTS JUST PLS EXPLAIN HOW TO SOLVE!!What is the length of segment AB when A(-2,2) andB(5,2)? Line Corporation acquired a machine on January 1, 2021, for $77.500 The useful life of the machine was estimated to be eight years with a salvage value of $5,500. Depreciation is recorded on December 31 of each year using the sum of year's digit method. At the beginning of 2023, the company estimated the remaining useful life of the machine to be four years and changed the estimated salvage value from $5,500 to $2,500. On January 1, 2024, major repairs on the machine cost the company $34,000. The repairs added two years to the machine's useful life and increased the salvage value to $3,000(1) the purchase of the machine(2)depreciation expense for the years 2021(3)depreciation expense for the years 2022(4) depreciation in 2023 under the revised estimates of useful life and salvage value(5) the expenditure for major repairs in 2024(6) depreciation expense for 2024 Intro In order to save for your retirement, you want to save $8,000 every year for 40 years, starting one year from now. The annual interest rate on your savings account is 2%. Part 1 How much money will you have in your account in 40 years? 0+ decimals Submit Solve for y.- 7y +1 > 22 OR -10y +41 > 81 The 2 line segments form a ___ that helps us find the ___ What fields of science are used in forensics? PLEASE I NEED HELP!!! Jim, Tanya, and Peter are all farmers. Below is their supply schedule for avocados. Note that avocado trees need extensive watering.Producer$1 per avocado$2 per avocado$3 per avocadoJim5 tons10 tons15 tonsTanya8 tons9 tons10 tonsPeter2 tons4 tons6 tonsa. If Peter was willing to produce 5 tons of avocados at $0.50 per avocado, ceteris paribus, what economic principle would be violated?b. What would happen to the supply of avocados if the cost of water went up where Jim, Tanya, and Peter live? Explain.c. Make a table of the supply schedule for the whole market of avocados, based on these three farmers.d. Draw the supply curve for avocados for this market and label it S1.e. On your graph from part (d), illustrate the effect of the increased cost of water on the supply of avocados. Label the new curve S2.f. Assuming the market situation from part (b), and that suppliers will not charge more than $3, would the quantity supplied of avocados be more or less than 31 tons of avocados? Explain. rosa can run 400 meters in one min. if she runs at the same rate how may meters can she run in 5 min why must the two-transaction perspective be used for recording foreign currency transactions under u.s. gaap? Marte hires Pilar to represent her in a lawsuit. Pilar is not a licensed attorney, although she claims to be one, so the contract between Marte and Pilar ine f: z z by the rule f(n) = 2 3n, for each integer n. (i) is f one-to-one? suppose n1 and n2 are any integers, such that f(n1) = f(n2). substituting from the definition of f gives that 2 3n1 = Sarah gets utility from soda (S ) and hotdogs (H ); her utility function is given byU = S0.4H0.6 (MUS = 0.4S-0.6H0.6 ; MUH = 0.6S0.4H-0.4 )Sarahs weekly income is $250, and the prices of sodas and hotdogs are $4 and $8, respectively. What is Sarahs utility-maximizing bundle of sodas and hotdogs? (Round up to one decimal point if needed.) there are 18 vehicles in a garage. some are cars and others are bicycles. there are 50 wheels all together. how many cars and bicycles are there. ______is the sum of all amounts transferred from work in process to finished goods during a period. (enter only one word per blank.)