ILL GIVE BRAINIEST TO THE BEST SIMPLIFIED ANSWER Amy compared function 1, y = 3x + 10, to function 2, the linear function shown in the table.

A.
The slope of function 1 is 3 greater than the slope of function 2.
B.
The slope of function 1 is 9 greater than the slope of function 2.
C.
The slope of function 2 is 3 greater than the slope of function 1.
D.
The slope of function 2 is 9 greater than the slope of function 1.

Answer:

78

Step-by-step explanation:

Since the base angles are congruent, then the triangle is isosceles and

AB = BC , that is

5x - 19 = 2x + 11 ( subtract 2x from both sides )

3x - 19 = 11 ( add 19 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

AB = BC = 2x + 11 = 2(10) + 11 = 20 + 11 = 31

Thus

perimeter = 31 + 31 + 16 = 78

Answer: 78

Step-by-step explanation:

The union of sets A and B is {m ∈ Z: m ≤ i} ∪ {m ∈ Z: m > j}, and the intersection of sets A and B is {m ∈ Z: m ≤ i and m > j}.

The union and intersection of sets A and B, given A = {m ∈ Z: m ≤ i} and B = {m ∈ Z: m > j}, can be determined as follows:

Union of A and B:

The union of two sets A and B, denoted by A ∪ B, is the set containing all the elements that are present in either A or B (or both). In this case, the union of A and B is the set of all integers that are either less than or equal to i, or greater than j. The union of A and B can be expressed as {m ∈ Z: m ≤ i} ∪ {m ∈ Z: m > j}.

Intersection of A and B:

The intersection of two sets A and B, denoted by A ∩ B, is the set containing all the elements that are common to both A and B. In this case, the intersection of A and B is the set of all integers that satisfy both conditions: m ≤ i and m > j. The intersection of A and B can be expressed as {m ∈ Z: m ≤ i and m > j}.

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The area inside the curve r = 3 + sin(θ) is (5π)/2 square units.

Double integration is an important tool in calculus that allow us to calculate the area of irregular shapes in the Cartesian coordinate system. In particular, they are useful when we are dealing with shapes that are defined in polar coordinates.

To find the area inside this curve, we can use a double integral in polar coordinates. The general form of a double integral over a region R in the xy-plane is given by:

∬R f(x,y) dA

where dA represents the infinitesimal area element, and f(x,y) is the function that we want to integrate over the region R.

In polar coordinates, we can express dA as r dr dθ, where r is the distance from the origin to a point in the region R, and θ is the angle that this point makes with the positive x-axis. Using this expression, we can write the double integral in polar coordinates as:

∬R f(x,y) dA = ∫θ₁θ₂ ∫r₁r₂ f(r,θ) r dr dθ

where r₁ and r₂ are the minimum and maximum values of r over the region R, and θ₁ and θ₂ are the minimum and maximum values of θ.

To find the area inside the curve r = 3 + sin(θ), we can set f(r,θ) = 1, since we are interested in calculating the area and not some other function. The limits of integration can be determined by finding the values of r and θ that define the region enclosed by the curve.

To do this, we first note that the curve r = 3 + sin(θ) represents a cardioid, which is a type of curve that is symmetric about the x-axis. Therefore, we only need to consider the region in the first quadrant, where 0 ≤ θ ≤ π/2.

To find the limits of integration for r, we note that the curve intersects the x-axis when r = 0. Therefore, the minimum value of r is 0. The maximum value of r can be found by setting θ = π/2 and solving for r:

r = 3 + sin(π/2) = 4

Therefore, the limits of integration for r are r₁ = 0 and r₂ = 4.

The limits of integration for θ are simply θ₁ = 0 and θ₂ = π/2, since we are only considering the region in the first quadrant.

Putting it all together, we have:

Area = ∬R 1 dA

        = ∫\(0^{\pi /2}\) ∫0⁴ 1 r dr dθ

Evaluating this integral gives us:

Area = π(3² - 2²)/2 = (5π)/2

Therefore, the area inside the curve r = 3 + sin(θ) is (5π)/2 square units.

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Using double integrals, the area inside the curve r = 3 + sin(θ) is 0 units².

For the area inside the curve r = 3 + sin(θ), we can use a double integral in polar coordinates. The area can be expressed as:

A = ∬R r dr dθ

where R represents the region enclosed by the curve.

In this case, the curve r = 3 + sin(θ) represents a cardioid shape. To determine the limits of integration for r and θ, we need to find the bounds where the curve intersects.

To find the bounds for θ, we set the expression inside sin(θ) equal to zero:

3 + sin(θ) = 0

sin(θ) = -3

However, sin(θ) cannot be less than -1 or greater than 1. Therefore, there are no solutions for θ in this case.

Since there are no intersections, the region R is empty, and the area inside the curve r = 3 + sin(θ) is zero.

Hence, the area inside the curve r = 3 + sin(θ) is 0 units².

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Answer:

48

Step-by-step explanation:

8 players for every team: 6x8=48.

Answer:

48 players

Step-by-step explanation:

There are 6 teams

There are 8 players per team

You can multiply them: 6 x 8 = 48

There are 48 players

-Chetan K

Answer:

If Cathy ran at a constant speed of 10 meters in 2 seconds, it took Cathy 20 seconds to run 100 meters.

Step-by-step explanation:

Hope this helps.

Answer:

If Cathy run at constant speed of 10 meters in 2 seconds, it took Cathy 20 second to run 100 meters.

The rates that can be classified as unit rates are

B. $3.80 for 1 gallon of milk

C. 60 miles per hour

What is rate?

A rate is a ratio that compares two quantities measured in different units. For example, miles per hour is a rate that compares distance (in miles) to time (in hours). Rates can be expressed as fractions, decimals, or unit rates.

What is unit?

A unit is a standard quantity used to measure something. For example, meters and kilometers are units used to measure length.

According to the given information

A unit rate is a ratio where the second term is one unit of measurement, such as "miles per hour" or "dollars per gallon."

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Hey there! I'm happy to help!

Let's write this equation out.

2/3+1/3x=2x

We want to get all of the variables on the left side and all the numbers on the right side so we can see what number x is equal to. First, Let's subtract 2/x from both sides.

2/3+1/3x-2x=0

We subtract 2/3 from both sides.

1/3x-2x=-2/3

We combine our x values.

-5/3x=-2/3

We divide both sides by -5/3.

x=-5

Have a wonderful day and keep on learning! :D

The point- slope form of the line is y-5 = -0.25(x+6).

What is line?

A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.

A line with a slope of –1/4 passes through the point (–6,5)

Any line in point - slope form can be written as

y - y₁= m(x -x₁) -------(1)

where,

y= y coordinate of second point

y₁ = y coordinate of first point

m= slope of the line

x= x coordinate of second point

x₁ = x coordinate of first point

In the given problem (x₁ , y₁) = (-6,5) and m= -1/4

Putting all these values in equation (1) we get,

y-5= (-1/4) (x- (-6))

⇒ y-5 = -0.25(x+6)

Hence, the point- slope form of the line is y-5 = -0.25(x+6).

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Answer:

48

Step-by-step explanation:

k should be 48 because if 33 is 15 less than k than would mean k is 15 more than 33= 33 + 15 = 48

Answer:

is there a pic?

Step-by-step explanation:

we are able to see

Answer:

9) C: x=4, y=2rt3

10) A: XY/YZ

11) A: XY/XZ

Step-by-step explanation:

9 - that is a 30, 60, 90 triangle so the ratios will be a, root3a, 2a

10 - tan = opposite / adjacent

11 - cos = adjacent/hypotenuse

Answer:

9. (c)

10. (a)

11. (a)

................

To find the area of a sector, we use the formula:

A = (theta/360) x pi x r^2

where A is the area of the sector, theta is the central angle in degrees, pi is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.

In this case, we are given that r = 25 cm and theta = 130 degrees. Substituting these values into the formula, we get:

A = (130/360) x pi x (25)^2

A = (13/36) x pi x 625

A ≈ 227.02 cm^2

Therefore, the area of the sector with radius 25 cm and central angle 130 degrees is approximately 227.02 cm^2. <------- (ANSWER)

Answer:

d ≈ 5.4

Step-by-step explanation:

calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (2, 2 ) and (x₂, y₂ ) = (4, 7 )

d = \(\sqrt{(4-2)^2+(7-2)^2}\)

   = \(\sqrt{2^2+5^2}\)

  = \(\sqrt{4+25}\)

  = \(\sqrt{29}\)

 ≈ 5.4 ( to the nearest tenth )

Answer:

X = 4

Step-by-step explanation:

Given : Both the triangles are congruent.

And, LM = QR ;

Therefore,

=>. 2x + 11 = 3x - 9

By interchanging.....

=> 11 + 9 = 3x + 2x

=>. 20 = 5x

=> 4 = x

Or,

=> x = 4

From interpretation of the given graph, we can say that the equation given as ¹/₂(2x + 8) = x + 4 has no solution

We are given the equation as;

¹/₂(2x + 8) = x + 4

Now, expanding the bracket using distributive property gives us;

x + 4 = x + 4

Since left hand side is equal to right hand side, then it means that the equation has no solution.

Now, looking at the given graph, we can see that the line of both equations overlap each other which means they don't intersect to provide a solution.

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At year 2, you will have approximately $25,915.13 in your bank account, assuming an initial investment with a 5% interest rate compounded annually. The correct answer is (a).


To find out how much money you will have in your bank account at year 2, we can use the compound interest formula:
A = P(1 + r/n)^(nt)
Where:
A = Final amount (in this case, $30,000)
P = Principal amount (initial investment)
R = Annual interest rate (5% or 0.05)
N = Number of times interest is compounded per year (assumed to be once per year)
T = Number of years (in this case, 3)
Let’s solve for P, the principal amount at year 0:
30,000 = P(1 + 0.05/1)^(1*3)
30,000 = P(1.05)^3
Dividing both sides of the equation by (1.05)^3:
P = 30,000 / (1.05)^3
P ≈ 25,915.13
Therefore, at year 2, you will have approximately $25,915.13 in your bank account.
The correct answer is (a) $25,915.13.

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Reaction force at point A = 650 N. Reaction force at point B = 650 N.  

Reaction force at point C= Unknown (dependent on the constraints turned ). Reaction force at point D = 0 N.

To find the reaction forces at points A, B, C, and D in the given support frame, we need to analyze the equilibrium of the system.

Let's start by considering the vertical forces acting on the frame.

At point A, we have a reaction force denoted as RA. Since the weight of the cylinder acts downward with a force of 650 N, the sum of the vertical forces at point A must be zero.

Therefore, we can write the equation:

RA - 650 N = 0

Solving for RA:

RA = 650 N

So the reaction force at point A is 650 N.

Moving to point B, we have another reaction force denoted as RB. Again, considering the vertical forces, the sum of the forces at point B must be zero. We have the weight of the cylinder acting downward with a force of 650 N, and the reaction force RB acting upward.

Therefore, we can write the equation:

RB - 650 N = 0

Solving for RB:

RB = 650 N

The reaction force at point B is also 650 N.

Now, let's consider point C, where the frame is turned. At a turned connection, the reaction force acts perpendicular to the surface of contact. In this case, the reaction force at point C can be decomposed into both vertical and horizontal components.

Since the frame is turned, there is no vertical force acting at point C. However, there may be a horizontal force, depending on the constraints of the turn. Without further information, we cannot determine the exact magnitude of the horizontal component of the reaction force at point C.

Moving on to point D, we don't have any forces acting directly on it. Therefore, the reaction force at point D is zero (0 N) since there are no external forces applied at that point.

Therefore, Reaction force at point A (RA) = 650 N. Reaction force at point B (RB) = 650 N. Reaction force at point C (RC) = Unknown (dependent on the constraints). Reaction force at point D (RD) = 0 N

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Question: A 650 N weight of a cylinger was a support of a frame ABC. The supporting frame is turned at C. Find the reaction force at A, B, C, D.

Answer:

  $800

Step-by-step explanation:

Interest on the loan is calculated using the formula ...

  I = Prt . . . . interest on principal P at rate r for t years

  I = $500×0.12×5 = $300

The balance is the sum of the principal and interest:

  B = P +I

  B = $500 +300 = $800

The balance due after 5 years is $800.

Answer:

$2 price per pound

2 is the constant of proportionality

Step-by-step explanation:

Price of Cherries = $2 per pound

what is the constant of proportionality

If y = total cost of buying x pounds of Cherries at $2 per pound

The equation below represent the situation

y = $2 * x

y = 2x

The constant of proportionality is 2

That is, the $2 price per pound

Jack's mother gave him 50 chocolates to give to his friends at his birthday party.

He gave 3 chocolates to each of his friends and still had 2 chocolates left. The answer is 16.

If Jack gave 3 chocolates to each of his friends, then the number of chocolates he gave away is 3 times the number of friends he had at the party. Let's call the number of friends he had "f". Then:

Number of chocolates given away = 3f

We also know that he had 2 chocolates left over.

So, the number of chocolates left over = 2

Putting it all together, we can write an equation:

50 - (Number of chocolates given away) = Number of chocolates left over

Substituting the expressions we have for "Number of chocolates given away" and "Number of chocolates leftover", we get:

50 - 3f = 2

Solving for "f", we get:

3f = 48

f = 16

Therefore, Jack had 16 friends at his birthday party.

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Thus, the equation of the line is: \(y - A = B(x - C)\)

where A = 0, C = 5 - 10/a, and B = -5/a. Substituting \(a^2 = 10\), we get:

\(A = 0\)

\(B = -5/a = -5/\sqrt(a^2) = -5/\sqrt(10)\\)

\(c = 5-10/a= 5-\sqrt{(100/a^{2} )} = 5-\sqrt{10}\)

An equation is a mathematical statement that uses symbols, numbers, and operations to show that two expressions are equal. It usually contains one or more variables, which represent unknown values that need to be solved for. Equations are used in a wide range of mathematical fields, such as algebra, geometry, calculus, and physics, to model real-world situations and solve problems. Some common examples of equations include:

Linear equation: y = mx + b.

by the question.

Let A = (a, 0) and C = (0, c) be the points of intersection with the x and y axes, respectively. Then the equation of the line passing through (2,5) and (a,0) is given by:

\((y - 5)/(0 - 5) = (x - 2)/(a - 2)\)

Simplifying, we get:

\(y = (-5/a)x + (5a/a - 10)\)

\(y = (-5/a)x + (5 - 10/a)\)

Now, we can find the coordinates of A and C by setting y = 0 and x = 0, respectively:

\(A = (a, 0) \geq 0 = (-5/a)a + (5 - 10/a) \geq a^2 = 10\)

\(C = (0, c) \geq c = (-5/2)(0) + (5 - 10/a) \geq c = 5 - 10/a\)

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Only answers A, C, and D are in standard form, so we can rule B out immediately.

If you throw (5,1) into A, you get:

   5(5) - 2(1) = 23

        25 - 2 = 23

This checks, so A *might* be the answer.

If you throw (5,1) into C, you get:

  2(5)-3(1) = 9

      10 - 3 ≠ 9

This doesn't check, so it's not C.

If you throw (5,1) into D, you get:

  5(5)+2(1) = 23

     25 + 2 ≠ 23

This doesn't check, so it's not D.

The only standard form equation that (5,1) is a solution for is A.

Your answer is A.

The 90% confidence interval for the amount of time that teens spend online each week is (30.761, 32.839) hours

To find the 90% confidence interval for the amount of time that teens spend online each week, we can use the following formula

CI = x ± z*(σ/√n)

where

x is the sample mean

σ is the population standard deviation

n is the sample size

z is the z-score associated with the desired confidence level

In this case, we have

x = 31.8 hours

σ = 5.91 hours

n = 85

z = 1.645 (for a 90% confidence level, using a z-table or calculator)

Plugging in these values, we get

CI = 31.8 ± 1.645*(5.91/√85)

Simplifying, we get

CI = 31.8 ± 1.039

We can interpret this interval as saying that if we were to take many random samples of 85 teens and compute the confidence interval for each sample, about 90% of these intervals would contain the true population mean.

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Answer:

a. 25%

b. 5%

Step-by-step explanation:

a. Take 60000 divided by 240000, then times 100% = 25%

So the solution for a is 25%

b. Take 12000 divided by 240000, then times 100% = 5%

So the answer for b is 5%

Independent variables are the factors that are manipulated or controlled by the researcher in a study. In the context of investigating the impact of a school nutrition program on grade performance of high school students, the independent variable would be the school nutrition program itself.

The researcher would design and implement the program, and this variable would be under their control.

Dependent variables, on the other hand, are the outcomes or variables that are measured in a study and are expected to change as a result of the independent variable. In this case, the dependent variable would be the grade performance of the students. The researcher would collect data on the grades of the students before and after the implementation of the nutrition program, and this would be the variable that is expected to be influenced by the independent variable.

In summary, the independent variable in this research design is the school nutrition program, while the dependent variable is the grade performance of the students. The researcher would manipulate the independent variable (implement the nutrition program) and then measure the dependent variable (student grades) to determine if there is an impact of the program on grade performance.

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The optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2. To solve the given linear programming (LP) model using the graphical method, we need to graphically represent the feasible region and find the optimal solution by maximizing the objective function.

Step 1: Graph the Constraints

We start by graphing each constraint individually on a coordinate plane.

The first constraint is x - y ≥ 0, which represents the line y = x. We can draw this line on the plane.

The second constraint is x + 2y ≤ 4. To graph this, we can rewrite it as 2y ≤ -x + 4 and then solve for y, which gives y ≤ (-1/2)x + 2. We can plot this line on the graph as well.

The third constraint x ≥ 0 represents the x-axis, and the fourth constraint y ≥ -1 represents the horizontal line y = -1.

Step 2: Identify the Feasible Region

The feasible region is the area where all constraints are satisfied. It is the intersection of the shaded regions formed by the constraints.

Step 3: Identify the Optimal Solution

To find the optimal solution, we need to maximize the objective function Z = x - 2y. The objective function is represented by a line with a positive slope.

By sliding the objective function line parallel to itself from left to right or right to left, we can observe the points of intersection between the objective function line and the feasible region. The point that gives the maximum value of Z within the feasible region is the optimal solution.

Step 4: Determine the Optimal Solution

By visually inspecting the graph, we can see that the objective function line will intersect the feasible region at the corner point (2, 0). This is the optimal solution for the given LP model.

Therefore, the optimal solution is x = 2, y = 0, and the maximum value of Z is Z = 2 - 2(0) = 2.

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Some of the groups of cards that have the same sum are:

Group 1               Group 2                    Sum

{8, 1}                      {7, 2}                         9

{8, 2}                     {7, 3}                         10

{8, 3}                     {7, 3, 1}                      11

{8, 1, 3}                  {7, 3, 2}                     12

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

Numbers: 8 7 6 2 1 3.​

In the above group of numbers, we have

Highest = 8

Least = 1

When these are added, we have

8 + 1 = 9

Another set of numbers that have a sum of 9 is (7, 2)

There are several other numbers that can be created

Some of these numbers are

And several others

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Answer:

c i think

Step-by-step explanation:

Answer: 1/7 is the answer