What does plotting the points tell us about the relationship between x and y?

Answer:

4y - x = 20

Step-by-step explanation:

y-y1 = m (x-x1)

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

4y - 24 = x - 4

4y - x = 20

The selling price is approximately $30.69. The correct option is a: $30.69.

To find the selling price, we need to calculate the markup amount and add it to the cost price.

The markup percentage is 35% based on the selling price. Let's calculate the markup amount first:

Markup amount = 35% of selling price

Let the selling price be S.

Markup amount = 0.35 × S

The cost price of the toaster to the appliance store is $19.95.

Selling price = Cost price + Markup amount

S = $19.95 + Markup amount

S = $19.95 + 0.35 × S

Now, we can solve this equation to find the selling price:

0.65 × S = $19.95

S = $19.95 / 0.65

S ≈ $30.69

Therefore, the selling price is approximately $30.69.

The correct option is a: $30.69.

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The equation that shows the relation between the hours travelled (x) to the miles covered (y) is x = 50y.

An equation is a claim that demonstrates the equality of two mathematical expressions, according to algebra.

For instance, the equation 3x + 5 = 14 is made up of the two equations 3x + 5 and 14, which are separated by the equal sign.

So, we know that:

Manos traveled 400 miles in 8 hours.

Then, the distance traveled in 1 hour will be:

400/8

50/1

1 hour = 50 miles

The equation will be:

x = 50y

Therefore, the equation that shows the relation between the hours travelled (x) to the miles covered (y) is x = 50y.

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Dani collecting rainwater in a 1 litre jug. So much water did Dani collect on Wedneday is 530 ml.

These are the specified parameters:

Monday = 220 ml

Tuesday = 1/4 litre

Wednesday = 0.1 litre

Fill the jug = 1 liter

A lot of water that has not been collected

= Fill the jug - (monday + tuesday + wednesday)

= 1 litre - (220 ml + 1/4 litre + 0.1 litre)

= (1 × 1000) ml - (220 ml + (1/4 × 1000) ml + (0.1 × 1000) ml)

= 1000 ml - (220 ml + 250 ml + 100 ml)

= 1000 ml - 570 ml

= 430 ml

Much water did Dani collect on Wedneday

= 0.1 litre + 430 ml

= 100 ml + 430 ml

= 530 ml

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Answer:

360 ft²

³

Step-by-step explanation:

The volume of the rectangular pyramid is calculated as

V = \(\frac{1}{3}\) Ah ( A is the area of the base and h the perpendicular height )

Here A = 10 × 6 = 60 ft² and h = 6 , then

V = \(\frac{1}{3}\) × 60 × 6 = 20 × 6 = 120 ft³

The volume of the rectangular prism is calculated as

V = 10 × 6 × 4 = 60 × 4 = 240 ft³

Total volume = 120 + 240 = 360 ft³

When both countries produce at full employment, Country A should focus on producing computers, and Country B should focus on producing steel. This arrangement allows them to maximize their resources and benefit from trade.

Based on the given production alternatives for countries A and B, the correct statement regarding their production of computers and steel at full employment is:

"Country A has a comparative advantage in producing computers, while Country B has a comparative advantage in producing steel."

Here's a step-by-step explanation:

1. Calculate the opportunity cost for each country:
- Country A: To produce 1 computer, they give up 1 unit of steel (100 computers = 100 units of steel).
- Country B: To produce 1 computer, they give up 4 units of steel (20 computers = 80 units of steel).

2. Identify the comparative advantage:
- Country A has a lower opportunity cost for producing computers (1 unit of steel), so they have a comparative advantage in computer production.
- Country B has a higher opportunity cost for producing computers but a lower opportunity cost for producing steel, so they have a comparative advantage in steel production.

Thus, when both countries produce at full employment, Country A should focus on producing computers, and Country B should focus on producing steel. This arrangement allows them to maximize their resources and benefit from trade.

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The given vectors are: u = (20 + i, i, 2)v = (1 + i, 2, 41)The dot product of u and v is:u.v = (20 + i)(1 + i) + (i)(2) + (2)(41 - 1)= 20 + 20i + i + i² + 2i + 80= 101 + 22i

To find the imaginary part of u.v, we can simply extract the coefficient of i, which is 22. Hence, the imaginary part of u.v is 22. Therefore, the answer is rounded off to 22.00.

A quantity or phenomenon with two distinct properties is known as a vector. magnitude and course. The mathematical or geometrical representation of such a quantity is also referred to by this term. In nature, velocity, momentum, force, electromagnetic fields, and weight are all examples of vectors.

A movement from one point to another is described by a vector. Direction and magnitude (size) are both properties of a vector quantity. A scalar amount has just greatness. An arrow-labeled line segment can be used to represent a vector. The following describes a vector between two points A and B: A B → , or .

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We cannot determine the number of burgers topped with Swiss cheese based on the given information.

A fraction represents a numerical value, which defines the parts of a whole.

We know that the total number of cheeseburgers sold by Cory is 80.

The number of burgers with cheddar cheese is 18.

The number of burgers with provolone cheese is 25.

The number of burgers with Pepper Jack cheese is 110.

Therefore, the number of burgers topped with Swiss cheese can be found by subtracting the total number of burgers with cheddar, provolone, and Pepper Jack cheese from the total number of cheeseburgers sold:

Number of burgers with Swiss cheese = Total number of cheeseburgers - (Number of burgers with cheddar cheese + Number of burgers with provolone cheese + Number of burgers with Pepper Jack cheese)

Number of burgers with Swiss cheese = 80 - (18 + 25 + 110)

Number of burgers with Swiss cheese = 80 - 153

Number of burgers with Swiss cheese = -73 (This is not possible)

This means there must be an error in the given information as we cannot have a negative number of burgers. Therefore, we cannot determine the number of burgers topped with Swiss cheese based on the given information.

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Answer:

Below

Step-by-step explanation:

30%   is   .3 in decimal

So the family used 100 %  of last month PLUS .3 of last month MORE

 12 000 = 100 %      now add  .3 (12 000) more =

    12 000  + .3 ( 12 000) = 15600 gallons this month

Answer:

32 times

Step-by-step explanation:

1/8 x 8= 1

1/8 x 32= 4

Answer:

Mike should use 32 times this teaspoon to measure 4 teaspoons of vanilla extract.

Step-by-step explanation:

1/8x=4

x=4/(1/8)=(4/1)(8/1)=32/1=32

Answer:

20% de 240=20×240÷100= 48 practican deporte

Answer:

100 yes there are trust me

Answer:

x^4y^9, the second option.

Step-by-step explanation:

A radical sign over an expression also means the expression is to the power of 1/2. In other words, the square root of n=n^1/2

(x^8y^18)^1/2

You divide the powers by 2

x^4y^9 is the answer

Answer:

b

Step-by-step explanation:

The lateral area of the circular pillar candle is approximately 52.75 square inches.

The lateral area of the circular pillar candle is area of the curved surface.

The curved surface area of a cylinder can be calculated using the formula

Curved surface area = 2πrh

r is the radius of the circular base of the cylinder.

h is the height of the cylinder.

The candle has a width of 2.8 inches

Diameter of the circular base = 2.8 in

radius (r) of the circular base is half the width,

r = 2.8 / 2

r = 1.4 inches.

The height (h) of the candle is given as 6 inches.

Now we can calculate the curved surface area

Curved surface area = 2πrh = 2 × 3.14 × 1.4 × 6  = 52.75 square inches

Therefore, the lateral area of the circular pillar candle is approximately 52.75 square inches.

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Answer:

x=-3

Step-by-step explanation:

The values of y with respect to the points created is constant, hence the two points will have the same y values but difference their respective x values

Answer:

7

Step-by-step explanation:

4-(-3)=

4+3=

7

Answer:

7

Step-by-step explanation: take the absolute value of both numbers and add them together so -3 becomes 3 and 4 stays the same they add up to 7.

Answer:

1 3/5 miles/hr

Step-by-step explanation:

Let C be the speed of the current

Let D be the distance between Chan's house and the park

We know that Distance, D, is = Speed x Time

-----

Chan's speed going upstream is (8 - C)mph.

That gives us:

D = (8-C)(3 hr)

Chan's speed going downstream is (8+C)mph

So we have:

D = (8+C)(2 hr)

We know that the d is the same for these two equations, so:

(8-C)(3 hr)  = (8+C)(2 hr)

24 - 3C = 16 + 2C

5C = 8

C = (8/5) or 1 3/5 mph

Answer:

  1.6 mph

Step-by-step explanation:

Distance, speed, and time are related by ...

  distance = speed × time

We assume that the distances up and back are the same, so for a current speed of c, we have ...

  3(8 -c) = 2(8 +c)

  24 -3c = 16 +2c . . . eliminate parentheses

  8 = 5c . . . . . . . . . . add 3c-16 to both sides

  c = 8/5 = 1.6 . . . . . divide by 5

The speed of the current is 1.6 miles per hour.

Answer:

The information with which the parabola is constructed is insufficient

Step-by-step explanation:

The vertex form of a quadratic equation is given as follows;

f(x) = a(x - h)² + k

The steps to draw the graph of a quadratic function given in vertex form, we are required to do the following;

1) Definition of the variables, (a, h and k) of the quadratic equation (given in vertex form)

The vertex of the quadratic equation in vertex form is (h, k)

2) Given that the vertex point is given, the vertex point is then plotted on the graph

3) Draw the parabola axis of symmetry that passes through the vertex point

4) Determine the direction to which the parabola opens from the sign of the variable a as follows;

i) When a is positive, the parabola opens upwards

ii) When a is negative, the parabola opens downwards

5) Determine if the parabola has x-intercepts and plot them

A parabola has x intercepts when;

i) The parabola opens downwards, that is, the variable, a, is negative and also the vertex (h, k) is above the x-axis or k is positive

ii) The parabola opens upwards, that is, the variable, a, is positive and also the vertex (h, k) is below the x-axis or k is negative

6)  Determine y-intercepts and plot them as follows;

At the y-intercept, x = 0, therefore;

f(x) = a(x - h)² + k

f(0) = a(0 - h)² + k = a·h² + k

6) If any additional points are required, they should plotted and then the graph of the function is then drawn making sure to be symmetrical about the vertex and to pass through all the plotted points.

The discriminant of g can be positive, zero, or negative, depending on the specific values of the quadratic equation in g.

The discriminant is a term used in the quadratic formula to determine the nature of the roots of a quadratic equation. It is calculated as b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.

If the discriminant is positive, it means that the quadratic equation has two distinct real roots. This occurs when b^2 - 4ac > 0.

If the discriminant is zero, it means that the quadratic equation has one real root with multiplicity. This occurs when b^2 - 4ac = 0.

If the discriminant is negative, it means that the quadratic equation has two complex conjugate roots. This occurs when b^2 - 4ac < 0.

To determine whether the discriminant of g is positive, zero, or negative, we would need to know the specific coefficients of the quadratic equation in g. Without that information, we cannot provide a definitive answer.

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Answer:

\(615.44\ in^2\)

Step-by-step explanation:

The equation for the area of a circle is:

\(A=\pi r^2\)

Please note that "A" stands for "Area" and "r" stands for "radius".

We can substitute the given values into the equation:

\(A=\pi r^2\\A=3.14*14^2\\A=3.14*196\\A=615.44\ in^2\)

The most apt description of expected value is: The long-term average outcome of an experiment.

Expected value refers to the long-term average outcome of an experiment. It is a mathematical concept that represents the average value of a random variable over an infinite number of trials.

In other words, it is the sum of all possible outcomes of an experiment, weighted by their probability of occurring.

Expected value is a crucial concept in probability theory and statistics, as it helps in predicting the likely outcome of an experiment or event. It is often used in decision-making processes, such as in finance and insurance, to calculate the potential risks and rewards associated with different options.

The other options listed in the question are not correct definitions of expected value. The standard deviation is a measure of the variability or spread of a random variable, while the best result and median are specific values that may or may not be related to the expected value.

What you should expect to happen in an experiment every time may be related to the expected value, but it is not a precise definition.

Overall, expected value is a fundamental concept in probability theory and statistics that represents the long-term average outcome of an experiment or event.

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In analytical geometry, a y-intercept, also known as a vertical intercept, is the point where the graph of a function or relation intersects the y-axis of the coordinate system using the widely accepted convention that the horizontal axis represents a variable x and the vertical axis represents a variable y. Therefore, x = 0 is satisfied at these sites.

y = -3+1

2y = 4x + 2

y = 22 +3

+y = 3

S y = 3x + 4

y=x+4

y = x - 1

2 = 2x - 2

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The first one is r=5

The second one is m=175

Answer:

1. r=5  2.m=175

HOPE THIS HELPS :)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7r+10=45

Step 2: Subtract 10 from both sides.

7r+10−10=45−10

7r=35

Step 3: Divide both sides by 7.

7r /7 = 35 /7

r=5

Step 1: Simplify both sides of the equation.

m /5 −9=26

1 /5 m+−9=26

1 /5 m−9=26

Step 2: Add 9 to both sides.

1 /5 m−9+9=26+9

1 /5 m=35

Step 3: Multiply both sides by 5.

5*( 1 /5 m)=(5)*(35)

m=175

Answer:

the second graph is correct

Step-by-step explanation:

It is the only graph that increases 0.05

=

Shane's regular 80% score receives a 5% boost and 10 bonus points, yielding a graphically represented final score of 80.05%. The linear function g(x) = x + 0.05 depicts this relationship. The correct graph is graph 2.

function g(x) = x + 0.05

where x represents his regular score in percentage.

Given that his regular score = 80%

g(x) = x + 0.05

Regular score = 80%

x = 80

g(80) = 80 + 0.05 = 80.05

Shane's final score after the extra 5% and 10 bonus points are added is 80.05%.

This point represents Shane's regular score of 80% and his final boosted score of 80.05%. This line on graph 2 represents the function g(x) = x + 0.05.

The line will have a positive slope of 1, indicating a 1:1 relationship between regular and boosted scores.

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Answer:

30

Step-by-step explanation:

Answer:  7 Courts

Step-by-step explanation: One US gallon equals for US courts, so 1 3/4 x 4 is seven

Answer: 7

Step-by-step explanation:

3/4 as a decimal is .75

In simple linear regression, the predictor variable is the independent variable, which is used to predict the value of the dependent variable. It is also referred to as the explanatory variable, as it is used to explain the variability in the response variable.

For example, in a study that examines the relationship between the hours studied and exam scores, the predictor variable is the number of hours studied, and the dependent variable is the exam score.

The predictor variable is plotted on the x-axis, while the dependent variable is plotted on the y-axis in a scatter plot. The relationship between the predictor and the dependent variable is represented by a straight line, which is determined by the regression equation.

The slope of the line represents the change in the dependent variable for each unit change in the predictor variable.

In summary, the predictor variable is the variable that is used to predict or explain the changes in the dependent variable in simple linear regression.

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The general solution of the given differential equation y'' + 8y' + 12y = 0 is y = C1e^(-2x) + C2e^(-6x), where C1 and C2 are arbitrary constants.

To find the general solution of the given differential equation, we can assume a solution of the form y = e^(rx), where r is a constant. Taking the derivatives of y with respect to x, we have y' = re^(rx) and y'' = r^2e^(rx). Substituting these derivatives into the differential equation, we get r^2e^(rx) + 8re^(rx) + 12e^(rx) = 0.

Factoring out e^(rx) from the equation, we have e^(rx)(r^2 + 8r + 12) = 0. For this equation to hold for all values of x, either e^(rx) = 0 (which is not possible) or (r^2 + 8r + 12) = 0.

Solving the quadratic equation r^2 + 8r + 12 = 0, we find the roots r = -2 and r = -6. Therefore, the general solution of the differential equation is y = C1e^(-2x) + C2e^(-6x), where C1 and C2 are arbitrary constants.

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Answer: x^6+6x^4+8x^2+2

Step-by-step explanation:

Since g comes after f then you will take g's equation and plug it into the f equation so it would turn out to be if you plugged it in

(x^2+2)^3-4(x^2+2)+2 which would equal x^6+6x^4+8x^2+2