Two linear functions, f and g, are defined as follows
Answer ALL true or false statements below

Answer:

x=120

y=180

Step-by-step explanation:

x=300-y

12x+15y=4140

12(300-y)+15=4140

y=180

substitute

x=300-180

x=120

Force 2 has a magnitude of approximately 160.8 Newton.

To find the value of force2, we can use the concept of vector equivalence. If force1 has a magnitude of 258 Newton and a length of vector equal to 45 mm, and force2 has a length of vector equal to 28 mm, we can set up the following proportion:

|force1| / length of vector for force1 = |force2| / length of vector for force2

Substituting the given values:

258 / 45 = |force2| / 28

To solve for |force2|, we can cross-multiply and solve for it:

258 * 28 = 45 * |force2|

|force2| = (258 * 28) / 45

Calculating this expression gives us:

|force2| ≈ 160.8 Newton

Therefore, force2 has a magnitude of approximately 160.8 Newton.

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Answer: 2,250 women

Step-by-step explanation:

2250:150 is the same as 15:1

Answer: 3 Gallons

Step-by-step explanation:we divide 65 by 5 and it comes out to 13 so 13 is our miles per gallon and we divide it by 39 and end up with 3 gallons

When we vary two inputs or decision variables and want to see how the changes in these quantities change a single output.

When we vary two inputs or decision variables and want to see how the changes in these quantities change a single output, the table we use is called the Two-way Table.A two-way table is a table that shows the frequency distribution of categorical data in two different ways. It has two rows and two columns with one categorical variable defining the row and the other defining the column.To display the distribution of one variable along one dimension and the distribution of the other variable along the other dimension, we use a two-way frequency table. It's the same as a contingency table, but it includes frequency counts for each mix of the two variables.A two-way table is used in statistics to show the distribution of data when two different variables are taken into account. It is created to make comparisons between data in a tabular format to highlight correlations or relationships between the variables. Hence, the correct answer is the option d. Two-way Table.

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We have been given that two rectangular prisms, M and N, are mathematically similar. The volumes of M and N are 17 cm^3 and 136 cm^3, respectively. The height of N is 18 cm. We are asked to find the height of M.

First of all, we will find the ratio between sides of rectangle M and N using proportions.

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{\text{ Volume of N}}{\text{ Volume of M}}\)

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{136\text{ cm}^3}{17\text{ cm}^3}\)

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{8\text{ cm}^3}{1\text{ cm}^3}\)

Now we will take cube root on right side to find length in cm.

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{\sqrt[3]{\text{8 cm}^3}}{\sqrt[3]{\text{1 cm}^3}}\)

\(\frac{\text{Side of N}}{\text{Side of M}}=\frac{\text{2 cm}}{\text{1 cm}}\)

Therefore, sides of rectangle N is 2 times greater than sides of rectangle M.

To find height of rectangle M, we will divide side of rectangle N by 2.

\(\text{Height of rectangle M}=\frac{18}{2}=9\)

Therefore, height of rectangle M is 9 cm.

Answer:

hey there,

hey there,in this question

-7 is multiply by 5 then multiply by-2

i want to inform that when minus is mutiply by minus it become plus

Step-by-step explanation:

The job with the longest process time is scheduled first, followed by the next longest, and so on.

Using the LPT (Longest Processing Time) priority, the sequence for jobs a, b, c, and d with process times 4, 6, 5, and 2 respectively would be:

1. Job b (6 units)
2. Job c (5 units)
3. Job a (4 units)
4. Job d (2 units)

The LPT priority rule arranges the jobs in decreasing order of their process times. So, the job with the longest process time is scheduled first, followed by the next longest, and so on.

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The firm 4's efficient scale occurs at 4

In this question, we have been given a table of long-run total cost and the quantity.

We need to find the quantity at which the firm 4's efficient scale occurs.

We know that the efficient scale occurs at the quantity of output where average total cost is minimum.

For the firm 4 the average total cost would be,

(210 + 340 + 490 + 660 + 850 + 1060 + 1290) / 7

= 4900 / 7

= 700

This value is clsoe to 660.

Therefore, the firm 4's efficient scale occurs at quantity 4.

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Given question is incomplete.

To determine whether the series converges or diverges, we use the limit comparison test.

We use the limit comparison test to determine whether the series converges or diverges. Using the limit comparison test, we will compare the given series with a p-series whose sum converges.

We will compare the given series with a p-series whose sum converges. Let p = 3. Since this is a p-series and p > 1, it is guaranteed that the sum converges. We will use the following form of the limit comparison test:

limₖ→∞ aₖ/bₖ = c, where c is a finite constant greater than 0. If c is finite and positive, both series converge or diverge. However, if c = 0, the series are identical, and if c = ∞, the ratio test may be used.

The nth term of the given series is aₙ = n³/15n(n⁴-5n²).

aₙ = n³/15n(n⁴-5n²)

aₙ = 1/15n²(n²-5)

We will compare it to the nth term of the p-series bₙ = 1/n³.

bₙ = 1/n³

limₖ→∞ aₖ/bₖ = limₖ→∞ 1/15(k²-5) = 1/15

We know that the limit exists and is finite, and that it is a nonzero constant. As a result, the given series converges by the limit comparison test. Thus, the series converges.

Therefore, the limit comparison test was used to determine if the series converges.

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Answer:9 hours

Step-by-step explanation:

when rounding to the nearest tenth, you use the number behind the decimal to determine which way you go. if it's below five(.1, .2, .3, .4) then you go down, if its above five(.6, .7, .8, .9) you would up. in this case, it's above fine, so we round up, which would make the total hours Andreas spent on the project 9 hours.

The table of values for y = -128x + 3840 is:

x y

0 3840

5 3200

8 2816

10 2560

30 0

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

Y= -128x + 3840

Then, we have

x = 0,5,8,10,30​

To find the values of y, we substitute each value of x into the equation and simplify:

This means that the above is the table of values for y = -128x + 3840 when x takes on the values 0, 5, 8, 10, and 30

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Answer:

-311

Step-by-step explanation:

−425 = x − 114

=> x = -425 + 114

=> x = -311

Therefore, -311 is our answer.

Hoped this helped.

Rounding to one decimal place, the channel width is approximately 0.1 meters.

We can use the formula for discharge (Q) which is:

Q = A * V

where Q is discharge, A is the cross-sectional area of the channel, and V is the velocity.

To solve for A, we can rearrange the formula as:

A = Q / V

We are given that Q = 619.5 m^3/s and V = 470 cm/s. We need to convert velocity to meters per second:

470 cm/s = 4.7 m/s

Substituting these values, we get:

A = 619.5 m^3/s / 4.7 m/s = 131.7 m^2

To find the channel width (W), we can use the formula for cross-sectional area of a rectangle:

A = W * D

where D is the depth of the channel. Rearranging the formula, we get:

W = A / D

Substituting the values we have, we get:

W = 131.7 m^2 / 972 cm = 0.1354 m

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An inequality that can be written in the form ax + by < c (where a and b are not both zero) is called a linear inequality in two variables.

An inequality that represents a line in a two-dimensional coordinate system is referred to as a linear inequality. The set of points that satisfies the inequality is a half-plane bounded by a line that may be dashed or solid.

In contrast to a linear equation, which represents a line, a linear inequality represents a half-plane. The points on one side of the line, rather than the points on the line, are solutions to the inequality.

The method of shading is used to graph a linear inequality in two variables. First, graph the boundary line, which is usually represented by a solid or dashed line, and then select a test point on one side of the line. Shaded regions of the half-plane containing the test point satisfy the inequality.

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Answer:

Instrumental variable

Step-by-step explanation:

cov(z,u)  shows that the instrumental variable is exogenous. An instrumental variable can also be regarded as a third variable, It is included in the model if you have an issue of endogeneity in your regression model. An endogeneity problem arises if there are other variables are being influenced by other independent variable in the same regression model. we use z to account for these behaviours in the model. this variable controls for measurement errors as well as confounding errors.  

To display formulas, one way is to press the key combination [Ctrl]+[] (grave accent).

The key combination [Ctrl]+[] is used to display formulas.

This is a useful feature for checking and editing formulas without altering the calculated values.

By pressing [Ctrl]+[], users can easily view the underlying formulas and ensure their accuracy.

This key combination provides a convenient way to switch between the formula view and the results view, enabling efficient editing and troubleshooting of complex calculations.

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40% of Damien’s marbles are 6/5 or 1.2.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Damien has three marbles.

40% of Damien’s marbles are blue.

That means,

40% of 3 blue marbles.

So, using the percentage formula,

40% of 3,

= 40 x 3/100

= 120/100

= 12/10

= 6/5

= 1.2

Therefore, 1.2 marbles are blue.

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The given equation, y = -1.7x + 8.5, is not in standard form with integer coefficients. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers and A is positive.

To convert the given equation to standard form, we need to eliminate the decimal coefficient. We can do this by multiplying both sides of the equation by 10 to clear the decimal: 10y = -17x + 85 Next, we want the coefficient of x to be positive, so we can multiply both sides of the equation by -1: -10y = 17x - 85

Now, we can rearrange the terms to match the standard form: 17x - 10y = 85 So, the equation of the given line in standard form with integer coefficients is 17x - 10y = 85. To convert the given equation to standard form, we need to eliminate the decimal coefficient.

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The  solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).

One method to solve the given system of equations is substitution:

- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).

- Substitute the expression for the variable into the other equation.

- Solve the resulting equation for the remaining variable.

- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable

Using this method with the given equations

- x - y = 9 -> x = 9 + y

- 3x + 2y = 22 -> 3(9 + y) + 2y = 22

- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1

- Substituting y = -1 into x = 9 + y: x = 8

To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.

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The statement is true. Simple random sampling is a method of selecting a sample from a larger population in which every member of the population has an equal chance of being selected for the sample.

This method is associated with a high degree of generalizability because it ensures that the sample is representative of the population. When a sample is representative of the population, the findings from the sample can be generalized to the entire population with a high level of confidence.

Simple random sampling is considered to be one of the most reliable and unbiased methods of sampling, making it a popular choice in many research studies.

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Answer:

B.

Step-by-step explanation:

First, it must be in descending order (i.e. largest to smallest). Thus, we can eliminate C and D since they go from smallest to largest.

Next, we need to find the degree of A and B. The degree of a polynomial is simply the highest exponent value of all the variables in a single term. If this is confusing, let's use A as an example.

In A, we have four terms: x^3y^3, xy^2, 5xy, and -4. This is a sixth degree polynomial. This is because for the first and largest term, x^3 and y^3, the total value of their exponents is 6. Because of this, A is not our answer.

For B, the biggest term is xy^2, and the degree is 1+2=3. Therefore, our answer is B since it is a third degree polynomial and it's in descending order.

Note that C is also a third-degree polynomial, but it's not written in descending order.

Answer:

answer is B

Step-by-step explanation:

Step-by-step explanation:

The line representing the equation 7x1 + 4x2 = 28 goes through the points (4,0) and (0,7).

Answer:

992

Step-by-step explanation:

Divide 1000 by 26.

The answer is 38 and some left over. We don't care what the leftover is because it is nearly 0.5 and that means 13 people were left over.

Take the integer value (38) and multiply it by 26. You get 988.

You want there to be 4 left over. 4 + 988 = 992. That's one way of doing the problem.

Answer: 940 people is the maximum

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

Explanation:

n = 1 means 20n = 20*1 = 20 members total, which is 4 short of making a row of 26 (so the remainder is 20)

n = 2 means 20n = 20*2 = 40 members. 40/26 = 1 remainder 14. We could make one full row with 14 members left over.

20n < 1000 solves to n < 50 after dividing both sides by 20. This means n is smaller than 50. It has to be larger than 0 or else 20n would be 0 or negative. We can write 0 < n < 50 to specify the range for n.

Since n < 50, this means the largest n can get is n = 49.

--------------------

If n = 49, then 20n = 20*49 = 980

980/26 = 37 remainder 18, which isn't the remainder we want (of 4).

If n = 48, then 20n = 20*48 = 960

960/26 = 36 remainder 24, again not the remainder we want

If n = 47, then 20n = 20*47 = 940

940/26 = 36 remainder 4

If we have 940 members, then we can form 36 rows (26 in each row). So 26*36 = 936 people so far. Then we have 940-936 = 4 people left over.

There are other solutions as well such as n = 34, n = 21, and n = 8. Though n = 47 is the largest n possible to fit all the conditions required.

Answer:

below explained briefly

Step-by-step explanation:

(a) to find the area of parallelogram use the formula: b * h = 30 * 20 = 600m^2

(b) to find the area of shaded of this one: first we need to find the area of rectangle and then area of two triangle and subtract them with rectangle.

area of rectangle : length * width = 25 * 7  = 175 cm^2

area of two triangles = 2(1/2*b*h) = 2 ( 1/2 * 7 * 5 ) = 35 cm^2

area of shaded = 175 - 35 = 140 cm^2

(c) there different methods of finding area of this figure.

one of the famous methods are that we know it a equilateral triangle thus all sides are 60 degree

formula : 1/2 * a * b * sin(C)

using this formula : 1/2 * 8 * 8 * sin( 60 )

                              : 27.7 cm^2