Alina, Robert, and Makayla are on the student council at their high school. They all want to go to a dinner where student council representatives from other schools will participate. However, only one student per school can go. How can a fair decision be made about who goes to the dinner?​

Answer:

The slope is 2

Step-by-step explanation:

Pick two points and plug into this equation: y2-y1/x2-x1

(-3,2) and (-1,6)

2-6/-3-(-1)=-4/-2= 2

Answer:

The slope of the linear function is 2

Step-by-step explanation:

Calculating the Slope of a Line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

The table shows four points: (-3,2), (-1,6), (1,10), and (3,14). To find the slope on the line passing through them we only need two, for example (-3,2), (-1,6):

\(\displaystyle m=\frac{6-2}{-1+3}\)

\(\displaystyle m=\frac{4}{2}=2\)

Any other pair of points should give the very same value for the slope. Use (1,10), and (3,14):

\(\displaystyle m=\frac{14-10}{3-1}\)

\(\displaystyle m=\frac{4}{2}=2\)

Thus, the slope of the linear function is 2

None of the available possibilities is an equivalent expression.

Supplemental methods add up to 180 degrees, just like all other options.

    If two expressions function the same way while having different looks, they are said to be comparable. Two identical algebraic expressions have the same value when the same value(s) for the variable are entered (s).

  No one in the available possibilities satisfies the requirement of a comparable expression.

2x - 15 + 3x + 15 = 180

2x - 10 + 3x = 180

5x - 10  = 180

5x - 10 + 10 = 180 +10

add the numbers

5x = 190

5x /5 = 190 5

x = 38

As a result, none of the possibilities shown are identical expressions.

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Answer:

1140 in.

Step-by-step explanation:

Multiply the length value by 12, so 95*12=1140

Have a beautiful day! v(⌒o⌒)v♪

The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.

We shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

A penny = 1 cent, so

x pennies = x cents

A dime = 10 cents so;

6 dimes = 6 × 10cents

6 dimes = 60 cents

A nickel = 5 cents so;

4 nickels = 4 × 5 cents

4 nickels = 20 cents

Arthur's coins in total = (x + 60 + 40) cents

Arthur's coins in total = (x + 80) cents.

Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.

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Answer:

Half of AB which is A.F is 14 then the other half is 14 as well which would have a sum of 28, and since CD is congruent to AB that will also have a sum of 28 degrees.

(I don't know how to calculate the perimeter for the second question)

Answer:

Answer: 28

Step-by-step explanation:

A+F=14 * 2 for B and since they are congruent it would be 14*2 so 28.

Answer:The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

Step-by-step explanation:

Answer:

0.33-0.25= 0.08

then 1999-1989= 10

lastly 0.008

Step-by-step explanation: so the  average rate of

change in postage in cents per year. is 0.8 of a cent. or 0.008 of a dollar.

Answer:

Answer is A

Step-by-step explanation:

honestly tho

Answer:

Step-by-step explanation:

(3+1)/2= 4/2 = 2

(-8+2)/2= -6/2= -3

(2, -3)

Three statements are correct: B, C, and D.

Statement A is incorrect. The technique of blocking is not indicated when only a random component is present.

Blocking is a statistical method used to remove or reduce the effects of nuisance factors or sources of variation in a dataset. Random components alone do not require blocking.

Statement B is correct. Blocking is indicated when both random and trend components are present. Trend refers to a systematic change in the data over time, and blocking can help separate the trend from other factors.

Statement C is correct. Blocking is also indicated when both random and seasonal components are present. Seasonality refers to regular patterns or cycles in the data, such as monthly or yearly variations. Blocking can help account for these seasonal effects.

Statement D is correct. Blocking is generally indicated when a dataset contains a combination of random, trend, and seasonal components.

In such cases, blocking can be used to extract each component separately and analyze their individual effects on the data.

In summary, statements B, C, and D correctly describe the situations in which the technique of blocking is indicated, while statement A is incorrect.

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Given that, the coordinates of the endpoints of ij are i(3,5) and j(17,19). point k is on ij and divides it such that ik:jk is 3:4.

The coordinates of the point k are (9,10)

The concept of section formula asserts that if a line segment is divided into two pieces in a certain ratio, the coordinates at the point of division may be obtained using the formula:

(mx2 + nx1)/(m+n), (my2 + ny1)/(m+n) = K

where (x1, y1) and (x2, y2) are the line segment's endpoint coordinates, and m:n is the provided ratio by which the line segment is divided.

The ends of the line segment IJ in this example are I(3,5) and J(17,19), and the ratio by which it is divided is 3:4, implying that IK:JK is 3:4.

As a result, m:n = 3:4, implying that m = 3 and n = 4.

When we enter these values into the formula, we get:

K = (3 x 17 + 4 x 3)/(3+4), (3 x 19 + 4 x 5)/(3+4)

When we simplify this expression, we get:

K = ( 51 + 12)/(7), (57 + 20)/(7)

K = (63)/(7),(77)/(7)

K = 9,10

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Answer:

5

Step-by-step explanation:

2 * 2= 4

4 ÷ 2 = 2

2 + 3= 5

Hope this helps!

The time taken by Peter to arrange the chairs all by himself is 10/3 minutes.

Given that :-

Katrina can arrange the chairs in the classroom in 5 minutes.

One day peter helped her and took both of them 2 minutes to arrange the chairs.

We have to find the time taken by Peter to arrange the chairs all by himself.

LCM (5,2) = 10

Let the total work of arranging the chairs is of 10 units.

We know that,

Efficiency of a person = Total Work/Time taken by person

Hence,

Efficiency of Katrina = 10/5 = 2 units

Efficiency of Katrina + Efficiency of Peter = 10/2 = 5 units

Hence,

Efficiency of Peter = 5 - 2 = 3 units

Hence, time taken by Peter to arrange the chairs all by himself  = 10/3 minutes.

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The initial expression is:

First we can expant cube so:

and now we can integrate so:

So is option B

Answer:

\(-\frac{22}{91} = x\)

Step-by-step explanation:

To solve the equation \(3x - 23 = 94x - 1\), we'll follow these steps:

Start by simplifying the equation by combining like terms. In this case, we have terms with x on both sides, as well as constants:

\(3x - 23 = 94x - 1\)

To isolate the x terms, we can subtract 3x from both sides of the equation:

\(3x - 3x - 23 = 94x - 3x - 1\)

Simplifying further, we get:

\(-23 = 91x - 1\)

Next, we want to isolate the constant term on one side of the equation. We can do this by adding 1 to both sides:

\(-23 + 1 = 91x - 1 + 1\)

Simplifying further:

\(-22 = 91x\)

Finally, we can solve for x by dividing both sides of the equation by 91:

\(-\frac{22}{91}=\frac{91x}{91}\)

Simplifying further:

\(-\frac{22}{91} = x\)

Therefore, the solution to the equation \(3x - 23 = 94x - 1\) is \(-\frac{22}{91} = x\)

The absolute error in evaluating sinx is \(cos x \triangle x\).

(a)Consider the problem of evaluating the value of sin x.

The objective is to estimate the absolute error in sin x.

Assume r = sin x

The absolute error formula gives that:

\(\triangle r = \frac{\delta r}{\delta x} \triangle x\)

\(= \frac{\delta sin x}{\delta x} \triangle x\)

\(= cos x \triangle x\)

(b) The objective is to estimate the relative error in sin x.

The relative error is given by:

\(\frac{\triangle r}{r} = \frac{cos x \triangle x}{sin x}\)

\(= cot x \triangle x\)

(c) The objective is to estimate the condition number for this problem.

The formula of a function r = f(x), its condition is given by:

\(\frac{x f'(x)}{f(x)}\), here r = sin x

The condition number at point x is:

\(\frac{x\frac{d(sin x)}{dx} }{sin x}\)

\(= \frac{x cos x}{sin x}\)

= x cot x

(d) The objective is to find for what values of argument x is the problem highly sensitive.

Here, condition number is xcot x.

The cot function is highly sensitive at x=0.

Hence, the argument x is highly sensitive for x=0.

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when we reflect a point (p, q) over the y-axis the y-coordinate stays the same but the x-coordinate changes signs so the image is (-p, q).

Reflect a point

A reflection point occurs when a figure is constructed around a single point known as the point of reflection or center of the figure.

coordinates

it is usually a pair of numbers: the first number shows the distance along, and the second number shows the distance up or down.

image of point

The  image of the point about the line y=x can be obtained by interchanging the x-coordinate and y-coordinate of the point.

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Answer:

Slope = -2/3

y-intercept= (0,4)

Step-by-step explanation:

Hope this helps!!!

Answer:

slope= - 2/3

y-intercept = 4

Step-by-step explanation:

convert to y=mx+b where m = slope and b= y-intercept

2x+3y=12

3y= -2x+12

y = -2/3x+4

slope= - 2/3

y-intercept = 4

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The probability that all three of the selected homes have a security system is approximately 0.0242 or 2.42%.

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

The probability that the first home selected has a security system is 4/11, since there are 4 homes with a security system out of 11 total homes.

Assuming that the first home selected does have a security system, the probability that the second home selected also has a security system is 3/10, since there are now only 3 homes with a security system remaining out of 10 total homes.

Similarly, assuming that the first two homes selected have security systems, the probability that the third home selected also has a security system is 2/9, since there are now only 2 homes with a security system remaining out of 9 total homes.

To find the probability that all three homes selected have security systems, we multiply these probabilities together:

(4/11) * (3/10) * (2/9) = 0.0242 or approximately 2.42%.

Therefore, the probability that all three of the selected homes have a security system is approximately 0.0242 or 2.42%.

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Answer:

5

Step-by-step explanation:

6/7 x 5/7 = 35/7

35/7 = 5

0.485

Given that Georgie has a red, blue and a yellow scarf, the probabilities of the three colors are 0.2, 0.45 and 0.35 respectively. When Georgie wears a red scarf, she always wears a hat. When she wears a blue scarf, she wears a hat with a probability of 0.4. When she wears a yellow scarf, she wears a hat with probability 0.3.The probability that on a randomly chosen day Georgie wears a hat is 0.2 × 1 + 0.45 × 0.4 + 0.35 × 0.3 = 0.2 + 0.18 + 0.105 = 0.485.Hence, the required probability is 0.485 that on a randomly chosen day Georgie wears a hat. Therefore, the correct option is (d) 0.485.

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Angles supplementary to ∠3 are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, and ∠7.

So, angles supplementary to ∠3:

(Refer to the image attached below)

Therefore, angles supplementary to ∠3 are ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, and ∠7.

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The result is the same as the dividend 6x³ - 9x² + 8x + 3, which confirms that our quotient and remainder are correct.

To divide the polynomial 6x³ - 9x² + 8x + 3 by 2x³ - 1, we can use polynomial long division.

            3x² - 3x - 15

       ____________________

2x³ - 1 | 6x³ - 9x² + 8x + 3

          - (6x³ - 3x²)

          _______________

                   -6x² + 8x + 3

                  - (-6x² + 3)

                  ______________

                            5x + 3

                           - (5x + 5)

                           ___________

                                   -2

The quotient is 3x² - 3x - 15, and the remainder is -2.

To verify our work, we can check if (Quotient)(Divisor) + Remainder equals the Dividend:

(3x² - 3x - 15)(2x³ - 1) - 2

Expanding the product:

6x⁵ - 3x² - 30x³ + 3x² - 15x - 6x³ + 3x + 15 - 2

Simplifying the terms:

6x⁵ - 6x³ - 30x³ - 15x + 3x + 15 - 2

Combining like terms:

6x⁵ - 36x³ - 12x + 13

The result is the same as the dividend 6x³ - 9x² + 8x + 3, which confirms that our quotient and remainder are correct.

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The equation of the parabola is y = -3(x + 2)^2 + 6

How to determine the parabola equation?

From the graph, we have:

Vertex, (h,k) = (-2,6)

Point (x,y) = (-1,3)

A parabola is represented as:

y = a(x - h)^2 + k

Substitute (h,k) = (-2,6)

y = a(x + 2)^2 + 6

Substitute (x,y) = (-1,3)

3 = a(-1 + 2)^2 + 6

Evaluate

3 = a + 6

Subtract 6 from both sides

a = -3

Substitute a = -3 in y = a(x + 2)^2 + 6

y = -3(x + 2)^2 + 6

Hence, the equation of the parabola is y = -3(x + 2)^2 + 6

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Disclaimer: The question provided by you is incomplete, the above sloution is done as per a similar question which is attached as a image

Question : Write an equation of the parabola in vertex form. (-2, 6) (-1, 3)

An equation of the parabola is y=​

Answer:

7xy(x + y)

Step-by-step explanation:

7xy(x + y)

Simplifying

7xy(x + y)

(x * 7xy + y * 7xy)

Reorder the terms:

(7xy2 + 7x2y)

(7xy2 + 7x2y)

We know that A'B'C' is a rotation of the triangle ABC 90 decrees about the origin.

We remember that in a rotation, the lengths of the segments don't change, and thus, the measure of the segments are:

This means that the length of A'C' is 5 units, as this is the length of the segment AC.

Answer:

5 units

Step-by-step explanation:

I got it right on the test.

Answer:

\( \sf \: 28x−140\)

Step-by-step explanation:

12(x−5)(2)+4(x−5)

Distribute:

=24x+−120+(4)(x)+(4)(−5)

=24x+−120+4x+−20

Combine Like Terms:

=24x+−120+4x+−20

=(24x+4x)+(−120+−20)

=28x+−140

Answer:

They are equal.

Step-by-step explanation:

In my opinion 1/3 is grater because three 1/3's makes a whole. 30% three times is only 90% of the whole.