Math part 3 question 4

Math Part 3 Question 4

Answers

Answer 1

The value of (g + f) (-1) is -6. The solution has been obtained by using operations on functions.

What are operations on functions?

The operations on functions allow us to add, subtract, multiply, and divide functions with overlapping domains in a manner akin to how we operate on the terms of the functions.

We are given f(x) = 3x²  and g(x) = x - 8

f(-1) = 3(-1)²

f(-1) = 3

g(-1) = -1 - 8

g(-1) = -9

(g + f) (-1)

⇒(g + f) (-1) = g(-1) + f(-1)

⇒(g + f) (-1) = -9 + 3

(g + f) (-1) = -6

Hence, the value of (g + f) (-1) is -6.

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Related Questions

Mary has $400 in her bank account. She buys an iPad for $475. What is her account balance now?

Answers

Answer:

- 75.00

Step-by-step explanation:

400 - 475 = - 75

Helping in the name of Jesus.

Answer:

She's in debt $75

Step-by-step explanation:

475-400=-75

The area of a square living room is 256 ft2
. Which is the length of the room?

Answers

Answer:

squareroot(256)

16

Step-by-step explanation:

im genius

PLEASE HELP ME I REALLY NEED HELP

Answers

Answer: true, true, false, true

Step-by-step explanation:

1 True- 2 is a prime number

2- True 2 is a prime number

3 False 2,3,5,7 can be prime numbers as well

4 True 2 is a prime number

Maths question buys plsss

Answers

The difference in volumes between the total volume and initial volume is 40 milliliters.

What is volume?

Volume is a collection of two - dimensional points enclosed by a single dimensional line. Mathematically, we can write -

V = ∫∫∫ F(x, y, z) dx dy dz

Given is the volume flask as shown in the image.

Initial volume in the container {I} : 360 milliliters

Total volume of the container {T} : 400 milliliters

The difference in volumes between the total volume and initial volume -

{T} - {I}

400 - 360

40 milliliters

Therefore, the difference in volumes between the total volume and initial volume is 40 milliliters.

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Hi. if someone could help me please do it due tomorrow and I have no clue ​

Answers

Answer:if what im getting at is correct, 8000  cm for the part a then that means part b is probably in conversion of that to 80 m

Step-by-step explanation:

if what i think may be correct 1:1000 means that 8 cm would be 8000 then, if it wants to know the real length in meters then it would have to be converted making it 80 meters

___________________________________________________

Hope this is correct

Answer:

A) 8000 cm

B) 80m

Step-by-step explanation:

A) 1:1000 is 0.001 times that by 1000 you get 8 x 1000=8000

=8000cm

B) we know that in cm the ship size is 8000cm converting cm to meter is basically

8000÷100= 80meters

use the number line to represent the solution 5 x < 20

Answers

x<4 is the solution of the inequality 5 x < 20

What is Number system?

A number system is defined as a system of writing to express numbers.

The given inequality is  5 x < 20

We have to solve for x

Divide both sides by 5

x<20/5

Divide numerator and denominator by 5

x<4

The graph of x<4 is given in the attachment.

Hence, x<4 is the solution of the inequality 5 x < 20

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Hans has scored 79, 89, 80, and 65 on his previous four tests. What score does he need on his next test so that his average (mean) is 77?

Answers

yes

im not sure though try it!

Help me please with this

Answers

Answer:  Choice B

g(x) = -f(x) - 4

===========================================================

Explanation:

The point (0,1) is on the the red f(x) curve. It's the y-intercept.

If we reflected that point over the x axis, then it moves to (0,-1). Shift it down 4 units to get to (0,-5)

The point (0,-5) is on the purple g(x) curve.

This process of...

reflect over the x axisshift down 4 units

is applied to every point on the red curve to arrive at a corresponding point on the purple curve. The order of the transformations matters. We can't shift down first before reflecting (or else g(x) will be in a different spot).

We stick a negative sign in front of the f(x) to reflect over the x axis. This is to change the sign of the y coordinate from positive to negative. Our answer choices are narrowed to either B or C.

The answer is choice B since that -4 at the end means "shift each point 4 units down". We're subtracting 4 from each y coordinate.

GeoGebra and Desmos are two useful tools to help verify the answer.

You and your friend are in an ice skating race. You skate at a rate of 12 feet per second. Your friend skates at a rate of 10 feet per second and has a head start of 20 feet.
a. How long will it take you to catch up to your friend?
b. The entire race is 180 feet. How far ahead of your friend will you be when you cross the finish line?

Answers

a.   It will take you 2 seconds to catch up to your friend.

b.  You will be 60 feet ahead of your friend when you cross the finish line.

a. This is because you are skating at a rate of 12 feet per second and your friend has a head start of 20 feet, so you must cover 20 feet in 2 seconds (20 feet/12 feet per second).

b. You will be 60 feet ahead of your friend when you cross the finish line.

This is because your friend is skating at a rate of 10 feet per second, and you are skating at a rate of 12 feet per second, so you will gain an additional 2 feet per second.

Therefore, in the 180-foot race, you will have gained an additional 60 feet over your friend (180 feet/2 feet per second).

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PLEASE HELP ASAP
A dog eats soft food out of a 16oz packet. Every day the dog eats its meals split into three dishes breakfast, lunch, and dinner. If the dog needs to eat 11oz daily, how many oz would be in each dish?

Answers

A dog eats soft food out of a 16oz packet. Every day the dog eats its meals split into three dishes breakfast, lunch, and dinner. If the dog needs to eat 11oz daily, each dish would have 3.67oz of food.

To find out  oz would be in each dish, we need to divide the total amount of food the dog needs to eat daily (11oz) by the number of dishes (3). This will give us the amount of food in each dish.

Here's the math:

11oz ÷ 3 dishes = 3.67oz per dish

So, each dish would have 3.67oz of food.

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HELP!!!
Zach earns $37.50 every weekend for delivering newspapers. Zach is saving his earnings in order to buy a new computer that costs $470.80. If Zach already has $58.30, enter the minimum number of weekends Zach will need to work before he has enough money to buy the computer.

Answers

Answer: 11 weekends

Step-by-step explanation: I did 470.80 divided by 37.50 and got 12 with a decimal, so then I multiplied 37.50 by 11 and got 412.5, then added the 58.30 .

Answer:

Step-by-step explanation:

So first you have to subtract the total that the computer costs by how much zach already has. Then you get 411.7. Then you have to divide 411.7 by 37.50 to get how many weeks it takes to get the computer. Which is 10.96 or 11. 11 weeks is the answer! You can check this by multiplying 37.50 by 11 and add 58 because he already has that money, you will get 470! which is close so there you go!

A venue sells seated, standing and VIP tickets.
The seated and standing tickets are in the ratio 1:2
The standing and VIP tickets are in the ratio 6:1
What percentage of the tickets sold are standing?

Answers

The percentage of those standing is 60%

How to determine the percentage  of those standing

From the question, we have the following parameters that can be used in our computation:

The seated and standing tickets are in the ratio 1:2The standing and VIP tickets are in the ratio 6:1

Using the above as a guide, we have the following:

Seated : Standing = 1 : 2

Standing : VIP = 6 : 1

Multiply Seated : Standing = 1 : 2 by 3

Seated : Standing = 3 : 6

Standing : VIP = 6 : 1

Combine the ratios

Seated : Standing : VIP = 3 : 6 : 1

So, we have

Standing = 6/(3 + 6 + 1) * 100%

Evaluate

Standing = 60%

Hence, the percentage is 60%

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Question 10 Solve the linear inequality 3x+(1)/(3)>=(3)/(2)x+(4)/(7). Enter your answer using interval notation.

Answers

The linear inequality answer using interval notation are [10/63, ∞]

To solve the linear inequality 3x+(1)/(3)>=(3)/(2)x+(4)/(7), we need to isolate the variable on one side of the inequality.

Here are the steps to do so:

1. Subtract (3)/(2)x from both sides of the inequality: 3x-(3)/(2)x+(1)/(3)>=(4)/(7)

2. Combine like terms on the left side of the inequality: (3/2)x+(1)/(3)>=(4)/(7)

3. Subtract (1)/(3) from both sides of the inequality: (3/2)x>=(4)/(7)-(1)/(3)

4. Find a common denominator and combine the fractions on the right side of the inequality: (3/2)x>=(12-7)/(21)

5. Simplify the fraction on the right side of the inequality: (3/2)x>=(5)/(21)

6. Multiply both sides of the inequality by the reciprocal of (3/2) to isolate the variable: x>=(5)/(21)*(2)/(3)

7. Simplify the fraction on the right side of the inequality: x>=(10)/(63)

The solution to the inequality is x>=(10)/(63). In interval notation, this is expressed as [10/63, infinity).

So the answer is [10/63, infinity]

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Solve the equation 17.25x + 3.89 = 21.14. Give your answer correct to the nearest integer.

Answers

Answer:

x = 1

Step-by-step explanation:

17.25x+3.89=21.14
17.25x=17.25
x = 1

Answer:

The solution to the equation is x = 1

Step-by-step explanation:

Hi,

We need to isolate the term that contains the variable "x", so we will subtract 3.89.

17.25x + 3.89 - 3.89 = 21.14 - 3.89

We obtain:

17.25x = 17.25

Dividing both sides by 17.25:

x = 1

Therefore, the solution to the equation is x = 1.

Good luck!

Let B be an invertible matrix such that B^(-1) (see photo)
Find the solution of the equation Bx = (see photo)
Bx = 1
2
3
B^-1 = -1 0 1
2 2 0
1 0 1

Answers

The solution of the equation Bx =     1       2       3   is    x =        2      6      4.

To find the solution of the equation Bx =
1
2
3
, we can multiply both sides of the equation by the inverse of B, B^-1. This will give us:

B^-1 Bx = B^-1
1
2
3


Since the product of a matrix and its inverse is the identity matrix, I, we can simplify the left side of the equation to:

Ix = B^-1
1
2
3


And since the product of the identity matrix and any vector is just the vector itself, we can simplify further to:

x = B^-1
1
2
3


Now, we can plug in the given values for B^-1 and the right side of the equation to find the solution for x:

x =
-1 0 1
2 2 0
1 0 1
*
1
2
3


Multiplying the matrices gives us:

x =
(-1)(1) + (0)(2) + (1)(3)
(2)(1) + (2)(2) + (0)(3)
(1)(1) + (0)(2) + (1)(3)


Simplifying further gives us:

x =
2
6
4


So, the solution of the equation Bx =     1       2       3   is    x =        2      6      4

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Which of the following statements is true? Please explain why.
(a) Regression coefficients estimated using least squares are always BLUE.
(b) If the omitted variable has positive effect on the explained variable and is negatively correlated with another explanatory variable we have negative bias.
(c) R2 j in the expression: V ar(βˆ j ) = σ 2 SSTj (1−R2 j ) is obtained from the regression of the dependent variable on the rest of explanatory variables.
(d) None of the above

Answers

The correct statement is (a) Regression coefficients estimated using least squares are always BLUE.

Therefore, statement (a) is true. The other statements are not correct. Statement (b) is incorrect because the omitted variable bias can be positive or negative, depending on the direction of the correlation between the omitted variable and the other explanatory variables. Statement (c) is incorrect because R2 j is obtained from the regression of the jth explanatory variable on the rest of the explanatory variables, not the dependent variable. Statement (d) is incorrect because statement (a) is true.

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45 minutes of 2 1/2 hours as a percentage

show method ​

Answers

Answer:

30%

Step-by-step explanation:

First, I added up the number of minutes in 2 1/2 hours. 2 hours is 120 minutes, and 1/2 hour is 30 minutes. 120 + 30 = 150.

Next, divide 45 (which is the number out of 150 we are determining the percentage for) by 150 (which is the total number of minutes). Multiply that number by 100 to get 30. The answer is 30%.

What is the circumference of the circle with a radius of 6.5 meters? Approximate using π = 3.14.

40.82 meters
20.41 meters
9.64 meters
4.33 meters

Answers

40.82 meters

The circumference of the circle.

The formula:

[tex]\huge\begin{array}{ccc}C=2\pi r\end{array}[/tex]

[tex]r[/tex] - radius

SOLUTION:

We have:

[tex]r=6.5m[/tex]

Substitute:

[tex]C=2\cdot6.5m\cdot\pi=13\pi m[/tex]

Use: [tex]\pi\approx3.14[/tex]

[tex]C\approx13m\cdot3.14=40.82m[/tex]

Answer:40.82 meters

The circumference of the circle.

The formula:

- radius

SOLUTION:

We have:

Substitute:

Use:

Step-by-step explanation:

Give bro above me the good stuff

steve earns $255.75 a week. He is single.and claims 2 allowances. What amount is withheld for federal income tax

Answers

Answer:

$445.10

Step-by-step explanation:

The amount withheld for federal income tax depends on several factors, including Steve's filing status, income, and deductions. However, we can make an estimate based on some assumptions.

Assuming Steve is paid weekly and is paid for 52 weeks a year, his gross income would be:

$255.75 x 52 = $13,293

We also assume that Steve is claiming two allowances. Each allowance reduces the amount of taxable income subject to federal income tax withholding. For 2021, each allowance is equal to $4,300.

Therefore, Steve's taxable income for federal income tax purposes would be:

$13,293 - (2 x $4,300) = $4,693

To estimate the federal income tax withholding, we can use the IRS tax tables. For a single person claiming two allowances and earning $4,693 per week, the estimated federal income tax withholding would be:

$445.10

However, this is just an estimate, and the actual federal income tax withholding may be different based on Steve's specific circumstances. It's always best to consult with a tax professional for accurate tax advice.

Is 6x-2 equivalent to 2-6x

Answers

Answer:

No

Step-by-step explanation:

6x-2

Factor out -1

( - -6x + -2)

- ( -6x +2)

- ( 2 -6x)

This is not equal to (2+6x) because of the negative sign out front.

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

Answers

The length of the segment indicated is c = c = 9.92.

What is Pythagoras' theorem?

Pythagoras discovered that the square of the hypotenuse in a right-angled triangle with a 90° angle is equal to the sum of the squares of the other two sides.

The triangle has three sides: the hypotenuse, which is always the longest, the opposite, which doesn't touch the hypotenuse, and the adjacent (which is between the opposite and the hypotenuse).

a² = b² + c²

a = 19

b = 16.2

c or x =?

19² = 16.2² + c²

361 = 262.4 + c²

c² = 98.6

c = √98.6

c = 9.92

Therefore, the length of the segment indicated is c = 9.92.

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Use the Corresponding Angles Converse and ∠ 1 ≅∠2 to show that I // m.

Answers

Therefore , the solution of the given problem of angles comes out to be  Lines I and m can be inferred to be parallel by the Corresponding Angles Converse .

An angle's meaning is what?

An angle is a shape in Euclidean geometry consisting of two rays, or sides of a circular, that split at the angle's apex and the angle's apex, which is in the middle. Where they are located, two rays can join to form an angle. Angle is another outcome of two entities interacting. They are known as dihedral angles.

Here,

The Corresponding Angles Converse states that if two parallels are intersected by a transversal such that a set of corresponding angles are congruent, then perhaps the two lines are parallel.

This can be used to demonstrate that lines I and m are parallel.

We can infer that 1 and 2 are corresponding angles because 1 2.

We can infer that they have the same measure because they are congruent.

Let's now think about the transversal line t. Lines I and m can be inferred to be parallel by the Corresponding Angles Converse because 1 and 2 are corresponding angles and t crosses both I and m.

We have thus demonstrated that I / m.

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For each of the following statements, indicate if it is true or false. Write T for a true statement, and F for a false statement. You will receive 1 point for every correct answer and .5 negative points for every incorrect answer (but you cannot receive a negative mark on this question). (a). If A is an m x n matrix and B is an n x n matrix, where m

Answers

The given statement " If A is an m x n matrix and B is an n x n matrix, then A × B is an m x n matrix" is True.  Correct answer of (a) is T.

This statement is definately true because, it helps to consider the dimensions of a matrix. The dimensions of a matrix refer to the number of rows and columns it contains. In the case of an m x n matrix (A) and an n x n matrix (B), the dimensions of A are m rows and n columns, while the dimensions of B are n rows and n columns.

When A is multiplied by B, the result is an m x n matrix, meaning it contains m rows and n columns. This is due to the fact that the number of columns of the first matrix (A) must equal the number of rows of the second matrix (B) in order for the matrices to be compatible for multiplication.

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Find the area of the composite figure below.

Answers

The tοtal area οf the cοmpοsite figure is 358.38 mm² (rοunded tο twο decimal places).

What is Area?

Area is the measurement οf the size οf a surface οr a regiοn in a 2D plane, typically measured in square units. It is calculated by multiplying the length and width οf a surface οr regiοn fοr simple shapes like rectangles, οr by using fοrmulas specific tο each shape fοr mοre cοmplex shapes.

The area οf a semicircle with radius r is given by (π/2)r², and the area οf a trapezium with height h and parallel sides a and b is given by (h/2)(a+b).

Substituting the given values, we get

Area οf semicircle = (π/2)(9mm)² = 81π/2 mm²

Area οf trapezium = (13mm/2)(7mm+18mm) = 227.5 mm²

Therefοre, the tοtal area οf the semicircle and trapezium is:

81π/2 + 227.5 ≈ 358.38 mm²(rοunded tο twο decimal places).

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Due to an unforeseen case of asthma, Big Wolf Demolition has to buy a wrecking ball. The ball, along with its equipment, will cost $10,000. The cash flows resulting from the investment are as follows: Year 1: $6,000; Year 2: $7,500; Year 3: $7,000; Year 4: $2,000. Calculate the IRR of the project

Answers

The project is expected to generate a return of 16.1% per year, which is higher than the company's cost of capital.

To calculate the IRR of the project, we need to find the discount rate at which the present value of the cash inflows equals the initial cost of the investment. We can use the following formula to find the IRR:

NPV = 0 = CF0 + CF1/(1+IRR)¹ + CF2/(1+IRR)² + CF3/(1+IRR)³ + CF4/(1+IRR)⁴

Where:

CF0 = initial investment = -$10,000

CF1, CF2, CF3, CF4 = cash flows in years 1, 2, 3, and 4, respectively

IRR = the discount rate we want to find

Using the given values, we can plug them into the formula and solve for IRR using a financial calculator or Excel. Alternatively, we can use a trial-and-error method to find the discount rate that makes NPV equal to zero.

Here is one way to solve for IRR using Excel:

In Excel, create a new spreadsheet.

In cells A1 to A5, enter the cash flows: -10000, 6000, 7500, 7000, and 2000.

In cell B1, enter the formula: =IRR(A1:A5)

Press Enter. The IRR of the project is displayed in cell B1 as a percentage.

Using this method, we find that the IRR of the project is approximately 16.1%.

Therefore, the Internal Rate of Return (IRR) of the project is calculated to be 16.1%, which indicates that the project is expected to generate a return that is greater than the cost of capital for the company. Hence, investing in this project is considered financially viable for Big Wolf Demolition.

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Suppose my utility function for asset position x is given by u(x) = 2x + 1.
a) Am I risk-averse, risk-neutral, or risk-seeking?
b) I now have $20,000 and am considering the following two lotteries:
Li: With probability I, I lose $1,000
L2: With probability .9, I gain $0.
With probability .1, I lose $10,000.
Determine which lottery I prefer and the risk premium of L2.

Answers

The risk premium of L2 is $19,000 - $18,000.5 = $999.5.

The utility function u(x) = 2x + 1 represents a risk-neutral individual. This is because the utility function is a linear function, meaning that the marginal utility of wealth is constant. Therefore, the individual is indifferent between a certain outcome and a risky outcome with the same expected value.

To determine which lottery the individual prefers, we can calculate the expected utility of each lottery and compare them. The expected utility of a lottery is the sum of the probabilities of each outcome multiplied by the utility of that outcome.

The expected utility of Li is:

EU(Li) = 1 * u($20,000 - $1,000) = 1 * u($19,000) = 1 * (2 * $19,000 + 1) = $38,001

The expected utility of L2 is:

EU(L2) = 0.9 * u($20,000 + $0) + 0.1 * u($20,000 - $10,000) = 0.9 * u($20,000) + 0.1 * u($10,000) = 0.9 * (2 * $20,000 + 1) + 0.1 * (2 * $10,000 + 1) = $36,001.1

Since the expected utility of Li is greater than the expected utility of L2, the individual prefers Li.

The risk premium of L2 is the difference between the certain outcome that gives the same utility as L2 and the expected value of L2. The certain outcome that gives the same utility as L2 is $18,000.5, since u($18,000.5) = $36,001.1. The expected value of L2 is $19,000. The risk premium of L2 is $19,000 - $18,000.5 = $999.5.

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Risk premium = $900


a) Since the utility function is increasing, this means you are risk-averse as increasing your position increases your utility.

b) In this case, you would prefer Lottery Li as it has lower risk of loss compared to Lottery L2. The risk premium of L2 can be calculated by finding the expected value of the lottery and subtracting the expected value of Li.
Expected Value of Li: (.9 x $20,000) - (.1 x $1,000) = $18,900
Expected Value of L2: (.9 x $20,000) - (.1 x $10,000) = $18,000

Risk premium = $18,900 - $18,000 = $900

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Find the measure of angle R.

17.2°
16.1°
70.1°
88.6°

Answers

Answer:

16.1 is the closest asnwer

Step-by-step explanation:

if you didn't understand feel free to send me a message bro

The price of petrol is Rx per litre. After an increase in price of R1 per litre,
you can buy seven litres less for R504. Calculate the original petrol
price. Show all
your calculations[6]

Answers

Answer:

Let's assume that the original price of petrol is x per liter.

After the increase of R1 per liter, the new price of petrol is (x+1) per liter.

According to the problem, with the new price, you can buy 7 liters less for R504, so we can write:

7(x+1) = 504

Simplifying this equation, we get:

7x + 7 = 504

Subtracting 7 from both sides, we get:

7x = 497

Dividing both sides by 7, we get:

x = 71

Therefore, the original price of petrol was Rx71 per liter.

john needs to save at least $120 for camp. He has saved $60. Which graph represents the amount of money that john still needs to save for camp?

Answers

The graph that best represents the amount of money that John still needs to save for camp is a bar graph.

What is a bar graph?

A bar graph is a graphical representation of data that is used to compare different categories of data. It is composed of rectangular bars with lengths proportional to the values that they represent. A bar graph may contain either vertical or horizontal bars, and it is usually used to represent data that is grouped into categories.

This graph would have a vertical axis that represents the amount of money that still needs to be saved and a horizontal axis that represents the amount of time. The graph would start with the bar at $60 and gradually increase over time until it reaches the goal of $120. He could also use the graph to determine how much money he needs to save each week or month in order to reach the goal on time.

Additionally, the graph could show him how much he has saved so far and how much he needs to save in order to reach the goal.

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The difference between the two outputs of a firm is 2 . Eight times the larger quantity is 10 times the smaller quantity. Write a system of equations describing the given conditions. Then solve the system and find the two output levels. Letx^represent the larger quantity andyrepresent the smaller quantity. Type the equation for "The difference between two quantities is 2." 0. (Enter vour response as an equation in terms ofxandy

Answers

The first equation describing the given conditions is x - y = 2, as the difference between the two outputs of a firm is 2. The second equation is 8x = 10y, as eight times the larger quantity is 10 times the smaller quantity. The system of equations can be written as:

x - y = 2
8x = 10y

To solve the system, we can use the substitution method. First, we can solve for x in the first equation:

x = y + 2

Then, we can substitute this expression for x into the second equation:

8(y + 2) = 10y

Distributing the 8 gives:

8y + 16 = 10y

Subtracting 8y from both sides gives:

16 = 2y

Dividing by 2 gives:

y = 8

Finally, we can substitute this value of y back into the first equation to find x:

x = 8 + 2 = 10

So the two output levels are x = 10 and y = 8.

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Why was the United States concerned about Agreement 2? I need some fun and interesting facts about shotaro Ishinomori! A stream that runs through an agricultural field is experiencing dangerously low dissolved oxygen levels. About 1 week before the oxygen levels dropped, the farmer plowed and fertilized the field. A day later, heavy rain washed soil and fertilizer into the stream. Several days after the rain, the water was green and cloudy and the dissolved oxygen reading is dangerously low. Describe what has happened in the stream including two pollutants that are likely affecting the stream. Explain what could be done to mitigate (make less severe) the water quality issues caused by agricultural activities. 10.2. Is the variance favorable or unfavorable? TRUE FALSE items TRUE 1. Goods in transit & goods on consignment are the same, 2. Gross profit is the difference between net sales & cost of goods sold. 3. Purchase records end up with paying the voucher. 4. Payment for janitors & clerks is calculated under direct labor. TRUE 5. Variance is the deviation between actual cost & standard cost. Youll build a simulation based on what you think will happen because of natural selection.Here are two considerations:Some individuals with harmful characteristics can still successfully reproduce, but they have an overall lower chance of doing so compared to organisms with neutral or beneficial traits.Natural selection may affect distribution of traits. Its possible that harmful traits could eventually disappear from the gene pool.Dont worry about precise population numbers. Based on your understanding of natural selection, youll be modeling only one scientifically plausible trend that can occur. There are several correct variations of this diagram. Youll explain the justification for your choices in part E.Assume that these plants have a life expectancy of about one year, but the rate of reproduction keeps their population consistently around 2,500 organisms. Using the same elements you used in part C, draw simulations for year 5 and year 10. Clearly label each simulation. Suppose that during a test drive of two cars, one car travels 234 miles in the same time that a second car travels 180 miles. If the speed of the first car is 12 miles per hour faster than the speed of the second car, find the speed of both cars. Organisms that use organic molecules as their source of carbonare calledchemotrophs.heterotrophs.organoheterotrophs.autotrophs. calculate the mole in 4.5 molecules of carbon dioxide Solve these systems of linear equations by substitution by following the steps. Write the solutions on the blanks. 2x+y=5 2y=2x-8 a. Find the first variable and isolate it. Then solve for that variable. b. Solve for the second variable. c. Find the numerical value of the first variable. d. Check your solution. Congruent triangles unit 4 homework 4 Select the correct answer from each drop-down menu.Consider quadrilateral EFGH on the coordinate grid.-6E-41LLF>+Y6-2-O-4--6-H-NG05.6In quadrilateral EFGH, sides FG and EH areareXbecause theyThe area of quadrilateral EFGH is closest tosquare units.Sides EF and GHFirst box ( not congruent, congruent). Second box ( each have a length of 5.83, each have a length of 7.07, have different lengths)Third box ( not congruent, congruent with lengths of 4.24, congruent with length of 5.83) Fourth box (41, 34, 25, 30) The container was covered in plastic wrap during manufacturing. How many square inches of plastic wrap were used to wrap the container? Write the answer in terms of . 2.1 square inches 3.22 square inches 5.04 square inches 6.16 square inchesDetermine the surface area of the cylinder. (Use = 3.14)net of a cylinder where radius of base is labeled 4 inches and a rectangle with a height labeled 3 inches 200.96 in2 175.84 in2 138.16 in2 100.48 in2Determine the exact surface area of the cylinder in terms of .cylinder with radius labeled 1 and three fourths centimeters and a height labeled 3 and one fourth centimeters 30 and three sixteenths times pi square centimeters 35 and seven eighths times pi square centimeters 11 and thirteen sixteenths times pi square centimeters 17 and one half times pi square centimetersBisecting Bakery sells cylindrical round cakes. The most popular cake at the bakery is the red velvet cake. It has a radius of 13 centimeters and a height of 15 centimeters.If everything but the circular bottom of the cake was iced, how many square centimeters of icing is needed for one cake? Use 3.14 for and round to the nearest square centimeter. 531 cm2 612 cm2 1,755 cm2 2,286 cm2 Pls help1 1/2-3/4 I need. Help please How to find process capability ratio acceptance sampling operating characteristics curve average outgoing quality discuss eac with examples a tiger with a mass of 31kg is running to the east with a velocity of 15m/s. Find the momentum of the tiger How did the Great Depression effect the great migration TRUE OR FALSE:Endothelial cells in the periphery of the retina then proliferate, can cause retinal detachment and possible blindness. the difference of y and 8 is less than or equal to -27 Translate the sentence into an inequality. Recruiting candidates can be from within or outside the organization. What is the difference between internal and external recruitment? Discuss while talking about each ones advantages and disadvantages. TIMED HURRRYYYYYYYYThe increasing cost of college has led some people to call for tuition-free college. Others want to understand why college costs so much and is therefore unaffordable for students. Write an argumentative essay that presents your position on the cost of college. Develop an effective and persuasive line of reasoning that supports your position with evidence and commentary. Create an appropriate tone and style through word choice, comparisons, and syntax. Research the topic and use the text sources found on pp. 841856 of your textbook.