PLS HELP ASAP ILL GIVE BRAINLKEST THANKS PLS

In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.

Here's a breakdown of the components in the equation:

y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.

x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.

k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.

The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.

For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.

To learn more about proportionality

https://brainly.com/question/22173833

#SPJ11

Answer:

I cant help you completely but it has to be C or D because it is bigger and not smaller

Step-by-step explanation:

Answer:

A. 60°

Step-by-step explanation:

∠BEC = 1/2 arc BC = 32°

∠CED = ∠BED - ∠BEC = 62° - 32° = 30°

arc CD = 2 x ∠CED = 2 x 30° = 60°

The measure of the arc CD of the circle is 60°

Given data:

The central angle is an angle with two arms and a vertex in the middle of a circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

And, Central Angle = 2 x Angle in other segment

So,

∠BEC = 1/2 arc BC = 32°

The measure of the angle ∠CED  is determined as:

∠CED = ∠BED - ∠BEC = 62° - 32° = 30°

So, the measure of the arc from the central angle is:

arc CD = 2 x ∠CED = 2 x 30° = 60°

Hence , the measure of arc CD = 60°

To learn more about central angle click :

https://brainly.com/question/11877137

#SPJ2

The length of RS is 6.32 unit (B).

To find the length of RS, we can use the distance formula:

D = √[(x₂ - x₁)² + (y₂ - y₁)²]

where:

(x₁, y₁) = coordinate of point 1

(x₂, y₂) = coordinate of point 2

In this case, we have:

the coordinates of R: (-2, -4)

the coordinates of S: (-8, -6).

Plugging in these values into the distance formula, we get:

D = √[(-8 - (-2))² + (-6 - (-4))²]

D = √[(-6)² + (-2)²]

D = √[36 + 4]

D = √40

D = 6.32

Therefore, the length of RS is about 6.32 units.

Learn more about Distance Formula here: brainly.com/question/25841655

#SPJ11

Answer:

2 and 3

Step-by-step explanation:

2+3 = 5

2*3-1 = 5

give brainliest please!

hope this helps :)

Numbers of ways to distribute 10 identical cards into 3 boxes is 36

Combination is is a way of selecting items from a collection where the order of selection does not matter.

Formula of combination:

Let a x-combination of a set is a subset of x distinct elements of S. If the set has n elements, the number of x-combinations is equal to the binomial coefficient.

ⁿCₓ = n(n-1)(n-2)(n-3). . . (n-x+1) / (x-1)(x-2)(x-3) . . . .(1)

which can be written as ⁿCₓ = n! / (n-x)! x!   , when n > x

ⁿCₓ = 0 , when n < x

Where n = distinct object to choose from

C = Combination

x = spaces to fill

According to the question,

Number of identical cards : n =10

Number of box cards are being distributed : x = 3

Number of ways to distribute when no condition is given : ⁿ⁺ˣ⁻¹Cₓ₋₁

If we place one one card in each box then

Number of cards left with us = 10 - 3

= 7

Now, condition of at least one cards in each box is satisfied ,

Then total number of ways to distribute 7 cards into 3 =  ⁷⁺³⁻¹C₃₋₁

=> ⁹C₂ = 9! / (9 - 2)! 2!

=>  9×8×7! / 7!2!

=> 9×8/2

=> 9×4

=>36 ways

To know more about Combination here

https://brainly.com/question/28065038

#SPJ4

To determine if the linear system corresponding to an augmented matrix [a1 a2 a3 b] has a solution, we can check whether the vector b is in the span of the vectors {a1, a2, a3}.

In linear algebra, the augmented matrix represents a system of linear equations. The columns a1, a2, and a3 correspond to the coefficients of the variables in the system, while the column b represents the constants on the right-hand side of the equations. To check if the system has a solution, we need to determine if the vector b is a linear combination of the vectors a1, a2, and a3.

If the vector b lies in the span of the vectors {a1, a2, a3}, it means that b can be expressed as a linear combination of a1, a2, and a3. In other words, there exist scalars (coefficients) that can be multiplied with a1, a2, and a3 to obtain the vector b. This indicates that there is a solution to the linear system.

On the other hand, if b is not in the span of {a1, a2, a3}, it implies that there is no linear combination of a1, a2, and a3 that can yield the vector b. In this case, the linear system does not have a solution.

Therefore, determining whether the vector b is in the span of {a1, a2, a3} allows us to determine if the linear system corresponding to the augmented matrix [a1 a2 a3 b] has a solution or not.

Learn more about matrix here:

https://brainly.com/question/29132693

#SPJ11

Step-by-step explanation:

devide 21 by 7.5 and then multiply by 100

Answer:

$0.98

Step-by-step explanation:

$1.33-$0.35=$0.98.

Answer:

The answer is 0.98 cents

Step-by-step explanation:

Hope it helps!

The area in units of square meter is 2,090,318.4 sq cm,  under the given condition that  a house has a floor area of 2,250 square feet. So , the correct option from the following is  Option B.

To convert 2,250 square feet to square centimeters, we can use the conversion factor of 1 square foot = 929.0304 square centimeters⁵. Therefore,

2,250 sq ft = 2,250 x 929.0304 sq cm/ sq ft = 2,090,318.4 sq cm.

The area in units of square meter is 2,090,318.4 sq cm,  under the given condition that  a house has a floor area of 2,250 square feet. So , the correct option from the following is  Option B.

To learn more about area ,

https://brainly.com/question/31299049

#SPJ4

Answer:

32.

Step-by-step explanation:

Hope this helps!

Answer:

(2, -4) would be point b.

Step-by-step explanation:

This is because -2 was on the negative side of the x axis before the refection and now it's on the positive side of the x axis

Answer:

it would be (2,-4)

Step-by-step explanation:

correct me if I'm wrong

Stay Safe

Stay Strong

Stay Awesome

For various levels of output, businesses in a competitive market have the following production costs. Right now, the price on the market is $4. Total Cost Quantity 0 1 10 2 13 3 18 4 25 34. Therefore,

1. Each firm maximizes profit by supplying 2 units where MR = MC.

2. At $4 market price, market not in long-run equilibrium as ATC ($6.5) > price.

3. Market reaches long-run equilibrium at $6, the minimum point of ATC curve.

To determine the units each firm will supply to maximize profit and calculate the profit, we need to examine the cost and revenue associated with each quantity of output.

Quantity                    Total Cost

0                                       1

1                                       10

2                                      13

3                                      18

4                                     25

1. To find the quantity that maximizes profit for each firm, we need to compare the marginal cost (MC) and marginal revenue (MR) at each quantity level.

Quantity   Total Cost   MC       MR

0                  1                   -       -

1                  10                 9       4

2                  13                 3       4

3                  18                 5       4

4                  25                 7       4

To maximize profit, a firm will produce where MR equals MC. Looking at the table, we can see that at a quantity of 2, the MR and MC are equal. Therefore, each firm will supply 2 units to maximize profit.

2. To determine if the market is in long-run equilibrium at a market price of $4, we need to compare the market price with the average total cost (ATC) for each firm. If the market price is equal to or greater than the ATC, the market is in long-run equilibrium.

Let's calculate the ATC for each firm at a quantity of 2:

\(ATC = \frac{Total Cost}{Quantity}\)

\(ATC = \frac{13}{2}\)

ATC = 6.5

The ATC for each firm is $6.5, which is greater than the market price of $4. Therefore, the market is not in long-run equilibrium because firms are not covering their costs and would not continue to operate in the long run.

3. To determine the price at which the market will be in long-run equilibrium, we need to find the minimum point of the average total cost (ATC) curve. This point represents the price at which firms can cover their costs and earn a normal profit in the long run.

Looking at the table, we can observe that the minimum ATC occurs at a quantity of 3. Let's calculate the ATC at this quantity:

\(ATC = \frac{Total Cost}{Quantity}\)

\(ATC = \frac{18}{3} = 6\)

Therefore, the market will be in long-run equilibrium at a price of $6, which corresponds to the minimum point of the ATC curve.

To know more about the average total cost curve refer here,

https://brainly.com/question/14869550#

#SPJ11

Answer:

x+12 The length of a rectangle

Step-by-step explanation:

The perimeter should be 4x+12, the x being the the width. If the length is the  is 12 inches more than the width, the length should be x+12

Answer:

k = -18

Step-by-step explanation:

When solving equations, the most important rule to keep in mind is that what you do to one side, you have to do to the other to keep the equation true.

We have: k/6 + 8 = 5

Our goal is to isolate the variable k.

This means we want to move all the numbers to one side, and leave k alone on the other side.

When solving this, you should look at the operation and do the inverse of that. (Subtract the value if its addition, add if its subtraction, multiply if its division, and divide if its multiplication)

k/6 + 8 = 5

We can start by subtracting 8 from both sides to cancel out the 8. (Reverse the addition)

k/6 + 8 - 8 = 5 - 8

k/6  = -3

Next, we can multiply both sides by 6 to isolate k. (Reverse the division)

k/6 * 6 = -3 * 6

k = -18

With that, we have our final answer.

Let me know if you have any questions!

The area of the shaded region is about 100.48 square units, rounded to the nearest hundredth.

A two-dimensional surface or region can be measured using the mathematical notion of area. Common square units used to describe it include square metres, square feet, and square inches. A flat surface's area is typically calculated by multiplying its length and breadth.

To find the area of the shaded region, we need to subtract the area of the smaller circle from the area of the larger circle.

Let's first find the area of the larger circle with radius 6. The formula for the area of a circle is \(A = \pi r^2\), where A is the area and r is the radius. So, for the larger circle:

A_larger = \(\pi (6)^2\)

A_larger = \(36\pi\)

Now, let's find the area of the smaller circle with radius 2. Using the same formula, we have:

A_smaller =\(\pi (2)^2\)

A_smaller = \(4\pi\)

To find the shaded region, we subtract the area of the smaller circle from the area of the larger circle:

A_shaded = A_larger - A_smaller

A_shaded = \(36\pi - 4\pi\)

A_shaded =\(32\pi\)

To round to the nearest hundredth, we can use the approximation π ≈ 3.14:

A_shaded ≈ 32(3.14)

A_shaded ≈ 100.48

Therefore, the area of the shaded region is about 100.48 square units, rounded to the nearest hundredth.

To know  more about area:

https://brainly.com/question/12187609

#SPJ1

Answer:

\(\frac{24}{d}\)

Step-by-step explanation:

the quotient is the result of dividing 24 by d , that is

quotient = \(\frac{24}{d}\)

Given the points (2, k) and (0, -6), and the distance is √5

The distance between two points is calculated by the formula:

Hence,

Therefore, the values of k would be -5 or -7 [option A is correct]

Answer:

Can't be answered, as written.

Step-by-step explanation:

Please check the equations.  As written, they are the same:

y=2x-4 and 6x-3y=12

The second, 6x-3y=12, can be rewritten:

-3y = -6x + 12

y = 2x - 4   is the same as the first equation.

========

I'll do an example based on a different first equation.  Let's try:

y = 4x-4 and 6x-3y=12

There are two equations and 2 unknowns.  We can solve this in either of two ways:  Mathematically and Graphically.  Let's try both.

Mathematically.

Pick either equation and isolate one of the variables (x or y)

I'll chose the first, since the variable y is already isolated.  (the efficient approach)

y = 4x-4

Take the second equation and use the definition of y provided by the first equation in place of y is the second:

6x-3y = 12

6x-3(4x-4) = 12  [Substituted the value of y given in the first equation]

6x - 12x + 12 = 12

-6x=0

  x= 0

Use x = 0 in either equation to find y:

y = 4x-4

y=4*(0)-4

y = -4

The solution (where the lines intersect) is (0,-4)

We can also solve this graphically.  

Plot the two lines and look for their intersection.  The attached graph shows that to be (0,-4).

H0: p1 ≥ p2 (Null hypothesis: Proportion of ADHD-diagnosed students in School A is equal to or greater than in School B)

Null Hypothesis: The proportion of students diagnosed with ADHD in School A is equal to or greater than the proportion of students diagnosed with ADHD in School B.

Symbolically, the null hypothesis can be stated as:

H0: p1 ≥ p2

Where:

H0: Null Hypothesis

p1: Proportion of students diagnosed with ADHD in School A

p2: Proportion of students diagnosed with ADHD in School B

In other words, the null hypothesis assumes that there is no significant difference or that School A may have an equal or higher proportion of students diagnosed with ADHD compared to School B.

Learn more about null hypothesis: https://brainly.com/question/28042334

#SPJ11

Answer:

42.

Hope that helps. x

Step-by-step explanation:

(Easy way)

If one side is 12 and the other is 9, we need to do 12 + 12 and 9 + 9 which equals to 42.

(Long way)

With a trapezoid we can get an image of one rectangle and s right-angle triangle next to it. So now we have found out the perimeter of the rectangle and so we're moving on to the triangle. The base is 6 and the height is obviously going to be 12. So what we do is, 12 + 12 = 24 and 6 + 6 = 12 = 36. Since we worked out the perimeter of two rectangles we have to half the number that we got for the triangle rectangle. So half of 36 is 18, and now we add up all the numbers we are left with. 24 + 18 = 42.

To break down the integral ∫(x^3)/(2x - 1) dx, we can use the properties of indefinite integrals to simplify it.

First, we can rewrite the integrand as (1/2) * (x^3)/(x - 1/2).

Next, we can split the integrand into two separate fractions:

∫(1/2) * (x^3)/(x - 1/2) dx = ∫(1/2) * [(x^3)/(x - 1/2)] dx

= (1/2) * ∫(x^3)/(x - 1/2) dx

Now, we can use partial fraction decomposition to further simplify the integrand. We'll express (x^3)/(x - 1/2) as a sum of two fractions:

(x^3)/(x - 1/2) = A + B/(x - 1/2)

To find the values of A and B, we can multiply both sides of the equation by (x - 1/2):

x^3 = A(x - 1/2) + B

Expanding the right side and collecting like terms:

x^3 = Ax - A/2 + B

Now, we equate the coefficients of like powers of x:

For x^3 term: 1 = A

For x^0 (constant) term: 0 = -A/2 + B

Solving the equations, we find A = 1 and B = A/2 = 1/2.

Therefore, the partial fraction decomposition of (x^3)/(x - 1/2) is:

(x^3)/(x - 1/2) = 1 + (1/2)/(x - 1/2)

Now, we can rewrite the integral using the partial fraction decomposition:

(1/2) * ∫(x^3)/(x - 1/2) dx = (1/2) * ∫(1 + (1/2)/(x - 1/2)) dx

Integrating each term separately:

(1/2) * ∫(1 + (1/2)/(x - 1/2)) dx = (1/2) * (x + (1/2)ln|x - 1/2|) + C

where C is the constant of integration.

Therefore, the integral ∫(x^3)/(2x - 1) dx can be broken down as:

∫(x^3)/(2x - 1) dx = (1/2) * (x + (1/2)ln|x - 1/2|) + C

learn more about integrals here

https://brainly.com/question/31433890

#SPJ11

1.  The simultaneous solution of the given equations is X=12/5 and Y=4/5

2.1)The combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

2)The combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

To find the simultaneous solution of the given equations 4X+3Y=12 and 2X+4Y=8, we can use the method of elimination, also known as the addition method. Multiplying the second equation by 2, we get 4X+8Y=16.

Now, we can subtract the first equation from the second equation: 4X+8Y - (4X+3Y) = 8Y - 3Y = 5Y and 16 - 12 = 4. Thus, 5Y=4 or Y = 4/5.

Substituting this value of Y in any of the two equations, we can find the value of X. Let's substitute this value of Y in the first equation: 4X+3(4/5)=12 or 4X

= 12 - (12/5)

= (60-12)/5

= 48/5.

Thus, X = 12/5. Hence, the simultaneous solution of the given equations is X=12/5 and Y=4/5.2. To find the optimal values of X and Y that will maximize the objective function Z=$10X+$50Y, we need to use the method of linear programming.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 3X+4Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function at each of the corner points of the feasible region, and choose the one that gives the maximum value.

Let's denote the corner points as A, B, C, and D, as shown above. The coordinates of these points are: A=(0,3), B=(2,1), C=(5/2,0), and D=(0,0). Now, let's evaluate the objective function Z=$10X+$50Y at each of these points:

Z(A)=$10(0)+$50(3)

=$150, Z(B)

=$10(2)+$50(1)

=$70, Z(C)

=$10(5/2)+$50(0)

=$25, Z(D)

=$10(0)+$50(0)=0.

Thus, we can see that the maximum value of Z is obtained at point A, where X=0 and Y=3. Therefore, the combination of X and Y that will yield the optimum for this problem is X=0 and Y=3.3.

To find the combination of X and Y that will provide a minimum for the problem Minimize Z=X+5Y subject to: 4X+3Y≥12 and 2X+5Y≥10, we need to use the same method of linear programming as above.

First, let's plot the feasible region defined by the given constraints:We can see that the feasible region is bounded by the lines 4X+3Y=12, 2X+5Y=10, X=0, and Y=0.

To find the optimal solution, we need to evaluate the objective function Z=X+5Y at each of the corner points of the feasible region, and choose the one that gives the minimum value.

Let's denote the corner points as A, B, C, and D, as shown above.

The coordinates of these points are: A=(3,0), B=(5,1), C=(0,4), and D=(0,0).

Now, let's evaluate the objective function Z=X+5Y at each of these points:

Z(A)=3+5(0)=3,

Z(B)=5+5(1)=10,

Z(C)=0+5(4)=20,

Z(D)=0+5(0)=0.

Thus, we can see that the minimum value of Z is obtained at point A, where X=3 and Y=0. Therefore, the combination of X and Y that will provide a minimum for this problem is X=3 and Y=0.

Know more about   equations  here:

https://brainly.com/question/25976025

#SPJ8

36 = 2*2*3*3

45 = 5*7

63 = 3*3*7

80 = 2*2*2*2*5

Then take each unique factor (2, 3, 5, and 7) and raise each the greatest power it has in any of the input numbers (2^4, 3^2, 5^1, 7^1) and multiply them, and that is your answer.

2*2*2*2*3*3*5*7 = 5040

The inequality will not have a shared solution set with the graphed linear inequality is y > five-thirds x + 2.

Linear inequalities are inequalities that involves at least one linear algebraic expression, that is, a polynomial of degree 1.Linear inequalities are the expressions where any two values are compared by the inequality symbols such as, '<', '>', '≤' or '≥'. These values could be numerical or algebraic or a combination of both.

Hence, the inequality will not have a shared solution set with the graphed linear inequality is y > five-thirds x + 2.

Learn more about linear inequality here

https://brainly.com/question/15780436

#SPJ1

Answer:

C

Step-by-step explanation:

answer is C

Answer:

m<A = 90° - m<B

(AB)^2 = (AC)^2 + (BC)^2

sin A = cos B

if <A = <B, then m<A = 45°

Answer:

Step-by-step explanation:

∠A+∠B=90 complementary angles ( the sum equal 90°)

∠A=90 degrees-∠B

tan A=sinA/cos A

AB²= AC² +BC² (Pythagorean theorem)

if angle A=angle B then the angles are 45 degrees

cos A=sin(90-A)  

sin (a - b) = sin a.cos b - sin b.cos a

sin(90-A)=sin90.cosA-sinbAcos90 cos 90=0 and sin 90=1

sin(90-A)=1*cosA

sin(90-A)=cosA

the ones are  in bold are right

Answer:

use app Gauthmath its will give you the answer

Answer:

100msquare (or) sq.m (diameter in a circle inscripted square is one of its side)

Step-by-step explanation:

area of squr=side*side

=10*10

=100msquare (or) sq.m

Answer:

Its 66 i just did a 50 question quiz and got it right

Step-by-step explanation: