Which ordered pairs are a solution to the equation: y = 2x + 6
Select all that apply. O (0, 6) O (-1, 4) O (-1, -4) O (3, 12)

Answer: 2.10

Step-by-step explanation: 2.10 * 4 + 6

Formula of simple interest rate is:

Where,

So the interest rate is:

So the simple interest rate is:

4% interest rate.

Answer:

-12-6x it's answer this question

Answer:

21,500

I don't really know if its right so don't count on this too much.

Step-by-step explanation:

Answer:

Step-by-step explanation:

given:

crane capacity = 17,000 kg

bucket mass = 3,000 kg

gravel mass = 1,500 kg/m³

find:

how many cubic meters of gravel (g) can be safely lifted by the crane?

crane capacity = 17,000 - 3,000

                        = 14,000 kg

volume of gravel with respect to crane's capacity:

vol. =   14,000 kg

          1,500 kg/m³

      = 9.33 m³ (say 9 m³)

therefore, the crane can safely lift the bucket + 9 m³ of gravel

Answer:

7. No becuse it needs to be 0,0 to be a proportional relationship

8. No it need to be a straight line to be a proportional relationship

9. No because people choose how many to pay per month so its diffrent

per month

10. No it doesn't have a constant rate

11. Yes because it has a constant rate Ex. 1 year=1 birthday, 2 years=2 birthdays the constant is 1

12. You think of it but here's an example. You need 1 gallon of gas per 1 mile you travel

\(Answer: \displaystyle\left {{x^2+(y-3)^2=36} \atop {x^2+(y+8)^2=36}} \right. .\)

Step-by-step explanation:

\(D=12\ \ \ \ O(0;b)\\\displaystyle\\R=\frac{D}{2}\\R=\frac{12}{2} \\ R=6.\\Circle \ equation\ is:\\(x-a)^2+(y-b)^2=R^2.\\a=0\ \ \ \ \ R=6\\x^2+(y-b)^2=6^2\\x^2+(y-b)^2=36\\Henese:\\\displaystyle\\\left {{x^2+(y-3)^2=36} \atop {x^2+(y+8)^2=36}} \right. .\)

An annual payment is found approximately $617.34. The correct option is e.. $617.34.

To find the size of your payments, you can use the formula for calculating the equal installments on a loan.

First, calculate the annual payment by dividing the borrowed amount ($2,000) by the present value factor of an annuity due with 4 periods at a 9% interest rate.

Using a financial calculator or spreadsheet, the present value factor of an annuity due with 4 periods at 9% interest rate is 3.2403.

Dividing $2,000 by 3.2403 gives us an annual payment of approximately $617.34.
Therefore, the correct answer is e. $617.34.

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In this diagram, points Q and R are found in both planes. Line QR is the result of intersecting the two planes together.

For something like diagram B, point Q is only found on one of the planes (the horizontal one) and not the other plane (the vertical one). So we can rule choice B out. The other choices are eliminated for similar reasoning.

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Answer:

option a is correct thanx

Answer:

\(5r^5\)

Step-by-step explanation:

Answer:

it's 5r^5

Step-by-step explanation:

Answer:

it would be cheaper to buy a pack of 45.

Step-by-step explanation:

Shayley would spend $30 on 20 single bottles because 1.50 times 20 = 30

Answer:

5 pounds

Step-by-step explanation:

Total pounds of fertilizer purchased purchased for lawn = 9 pounds

Amount used for backyard = 2 2/3 pounds

Amount used for front yard = 1 2/9

Amount of fertilizer left :

Total amount purchased - total. Amount used

Total amount used :

(amount used for backyard + amount used for front yard)

(2 2/3 + 1 2/9) = (8/3 + 11/9) = (24 + 11) / 9

= 36 / 9

= 4 pounds

Amount of fertilizer left :

Total amount purchased - total. Amount used

9 pounds - 4 pounds

= 5 pounds

Answer:

5 pounds

Step-by-step explanation:

Given:

The point is (2,9).

It is translated 4 units to the right and 7 units up.

To find:

The coordinates of new point.

Solution:

The point is translated 4 units to the right and 7 units up. So, the rule of translation is

\((x,y)\to (x+4,y+7)\)

The point is (2,9). Using the above rule, we get

\((2,9)\to (2+4,9+7)\)

\((2,9)\to (6,16)\)

Therefore, the coordinates of new points are (6,16).

There are 6 men and 7 women on the executive committee. 5 of them are randomly chosen to attend a meeting in Hawaii, so we have a sample size of 13, and we are selecting 5 from this sample to attend the meeting.

The sample space is the number of ways we can select 5 people from 13:13C5 = 1287. For the probability that all 5 members selected are men, we need to consider only the ways in which we can select all 5 men:6C5 x 7C0 = 6 x 1

= 6.Therefore, the probability of selecting all 5 men is 6/1287. Answer:6/1287.

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Answer:8 feet

Step-by-step explanation: since it takes 3 feet to make a yard 24 divided by 3 is 8 so the answer is 8

In this random graph, we expect to find approximately 14 unordered cycles of length three.

In an undirected random graph of eight vertices, where the probability of an edge existing between any pair of vertices is 1/2, we can calculate the expected number of unordered cycles of length three.

To determine the expected number, we need to analyze the probability of forming a cycle of length three through any three vertices.

To form a cycle of length three, we must select three distinct vertices. The probability of selecting a particular vertex is 1, and the probability of not selecting it is (1 - 1/2) = 1/2. Hence, the probability of selecting three distinct vertices is (1)(1/2)(1/2) = 1/4.

Since we have eight vertices, the number of ways to choose three distinct vertices is given by the combination formula C(8, 3) = 8! / (3! * (8 - 3)!) = 56.

Therefore, the expected number of unordered cycles of length three is the product of the probability and the number of ways to choose the vertices: (1/4) * 56 = 14.

Therefore, in this random graph, we expect to find approximately 14 unordered cycles of length three.

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Answer:

70

Step-by-step explanation:

\(180 - 120 = 60\)

\(180 - 60 - 50 =70\)

Answer:

3 hours

Step-by-step explanation:

15 pages x 3 = 45 pages. As Winston reads 15 pages an hour, multiplying this by 3 gives us 45 pages.

We assume that with a linear relationship between two variables, for any fixed value of x, the observed residuals follows a normal distribution.

This assumption is based on the Central Limit Theorem, which states that when the sample size is large enough, the distribution of sample means will be approximately normal, regardless of the shape of the underlying population distribution.

In the case of a linear relationship between two variables, we can assume that the residuals (the difference between the observed y values and the predicted values based on the linear regression model) follow a normal distribution with mean 0 and constant variance. This assumption is important because it allows us to use statistical methods that rely on normality, such as hypothesis testing and confidence intervals.

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A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.

Multiplying Polynomials Find each product. 1) \(6v(2v + 3) 2) 7(-5v - 8)3) 2x(-2x -3)6v(2v + 3)\)

To distribute the 6v over the binomial 2v + 3, we multiply 6v by each term inside the parenthesis:

\(6v(2v) + 6v(3)\)

\(= 12v^2 + 18v7(-5v - 8)\)

To distribute the 7 over the binomial -5v - 8, we multiply 7 by each term inside the parenthesis:

\(7(-5v) + 7(-8)= -35v - 562x(-2x - 3)\)

To distribute the 2x over the binomial -2x - 3, we multiply 2x by each term inside the parenthesis:

\(2x(-2x) + 2x(-3)= -4x^2 - 6x\)

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Answer:

the angles in matching corners when two lines are crosed by another line

To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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The equation Q = -L³ + 15 represents the production function of Plainfield Electronics, where Q is the quantity of industrial control panels produced and L is the level of labor input.

In this production function, the term -L³ indicates that there is diminishing returns to labor. As the level of labor input increases, the additional output produced decreases at an increasing rate. The term 15 represents the level of output that would be produced with zero labor input, indicating that there is some fixed component of output. To maximize production, the firm would need to determine the optimal level of labor input that maximizes the quantity of industrial control panels produced. This can be done by taking the derivative of the production function with respect to labor (dQ/dL) and setting it equal to zero to find the critical points. dQ/dL = -3L². Setting -3L² = 0, we find that L = 0.

Therefore, the critical point occurs at L = 0, which means that the firm would need to employ no labor to maximize production according to this production function. However, this result seems unlikely and may not be practically feasible. It's important to note that this analysis is based solely on the provided production function equation and assumes that there are no other factors or constraints affecting the production process. In practice, other factors such as capital, technology, and input availability would also play a significant role in determining the optimal level of production.

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Answer:

Answer:

X = 3

Mode: 11median: 9

Step-by-step explanations

3x = 3*2 = 6

(6,7,8,8,9,10,11,11,11)/9 = 81/9 = 9

The value of X = 3

Mode: 11

Median: 9

The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

Mean = Sum of observations/the number of observations

Median represents the middle value of the given data when arranged in a particular order.

Mode is that number that appears most frequently in the given set of data.

We are given that  the ages in years of members of group 8, 11, 8,10 ,6, 7, 3x ,11, 11 if the mean age is 9 years

3x = 3(2 )= 6

Mean = (6,7,8,8,9,10,11,11,11)/9

= 81/9

= 9

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Step-by-step explanation:

the triangle is an Isosceles triangle

let the another two angles be 2x

and apply angle sum property of triangle here

2x + 72° = 180

2x = 180 - 72

2x = 108

x = 108/2 = 54

therefore,

angle 2 = 54°

a/q

angle 2 = -9 + 7x

now,

54° = -9 + 7x

or

-9 + 7x = 54°

7x = 54 + 9 = 63°

x = 63/7 = 9

x = 9

therefore, value of x is 9.

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