Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal.

Image vertices are  mathematically given as:

Generally, Multiplying the vertices by a scale factor of four is required in order for us to locate the picture vertices for dilation with center (0, 0).

In conclusion,, the image vertices are :

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The probability shows that when one name is drawn from the jar, the country that has the best chance of having a name drawn is Great Britain.

It should be noted that Great Britain has won 6 golds in the 1500 meters Olympics and the next placed country is Kenya. In this case, the country that has the best chance of having a name drawn is Great Britain.

Note that New Zealand has 3 gold medals while Australia has 2 gold medals. Also, the Olympics has taken place 29 times.

The probability that the winners will be from either New Zealand or Australia will be:

= 3/29 + 2/29

= 5/29

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Answer

A. Great Britain

B. 3/29+2/29=5/29

please give me the brainliest.

The product of the two factors (t - sa) (9t + 6sa) is 9t² - 3tsa - 6s²a²

The product of two factors of an expression results in a quadratic or polynomial expression depending on the degree to which their power is being raised.

From the information given, we have:

= (t - sa) (9t +6sa)

= 9t² + 6tsa - 9tsa - 6(sa)²

= 9t² - 3tsa - 6s²a²

Therefore, we can conclude that the product of the two factors (t - sa) (9t + 6sa) is 9t² - 3tsa - 6s²a².

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Considering the given function and the asymptote concept, we have that:

In this problem, the function is:

[tex]f(x) = \frac{5x}{x - 25}[/tex].

The vertical asymptote is found as follows:

x - 25 = 0 -> x = 25.

The horizontal asymptote is found as follows:

[tex]y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{5x}{x - 25} = \lim_{x \rightarrow \infty} \frac{5x}{x} = \lim_{x \rightarrow \infty} 5 = 5[/tex].

Hence the end behavior is that as [tex]x \rightarrow \infty, f(x) \rightarrow 5[/tex].

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The cost of electricity consumed by the TV per month is $4.968.

In the question, we are given that a TV set consumes 120W of electric power when switched on. It is kept on for a daily average of 6 hours per day. The number of days in the month is given to be 30 days. The cost per unit of electricity is 23 cents per kWh.

We are asked to find the cost of electricity the TV consumes in the month.

The daily energy consumed by the TV = Power*Daily time = 120*6 Wh = 720 Wh.

The monthly energy consumed by the TV = Daily energy*Number of days in the month = 720*30 Wh = 21600 Wh = 21600/1000 kWh = 21.6 kWh.

Hence, the total cost of electricity the TV consumes = Monthly energy*Per unit cost = 21.6*23 cents = 496.8 cents = $496.8/100 = $4.968.

Therefore, the cost of electricity consumed by the TV per month is $4.968.

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The scatter plot is shown in the attached picture, and the line of best is also shown.

Scatter plots are graphs representing individual data points and are labeled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one on the y-axis for each point.

We have the data shown in the table.

We can plot the data on the coordinate plane such as:

(x, y) = (54, 92), (46, 80) and so on

We can find the equation of best fit:

[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]

y = mx + c

Thus, the scatter plot is shown in the attached picture, and the line of best is also shown.

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By using a graphing calculator, the solution set that would be found in the overlapping areas of a graph of Jill's sales is (15, -4).

First of all, we would assign variables to the blend of brownies that were made by Jill for the bake sale as follows:

Since Jill sold more than 11 plates in total, we have:

x + y > 11.

Also, Jill sold less than $66.50 worth of brownies:

5.50x + 4.00y < 66.50.

By using a graphing calculator, the solution set that would be found in the overlapping areas of a graph of Jill's sales is (15, -4).

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Answer: the height of the pyramid is 6 inch.

Step-by-step explanation:

V=50 inch³    a=5 inch     H=?

Formula of  volume square pyramid is:

                    [tex]\boxed {V=\frac{1}{3}*S_{base}*H },[/tex]        

where:   Sbase - pyramid base area;

              H -   pyramid height.

Hence,

             [tex]H=\frac{3*V}{S_{base}}\\[/tex].

Since the pyramid is square, its base is a square.        ⇒

[tex]S_{base}=a^2\\S_{base}=(5\ inch)^2\\S_{base}=25\ inch^2\\H=\frac{3*50}{25} \\H=3*2\\H=6\ (inch).[/tex]

Good luck!    

This is an exponential function due to the presence of exponent

Exponential functions are inverse of logarithmic functions. Given the function below;

f(x) = 2^x - 14

This is an exponential function due to the presence of exponent and since the standard form of an exponential function is y = ab^x

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Answer: a = 18

Step-by-step explanation:

The pythagorean theorem says that the sum of the square of the two legs of a triangle is equal to the square of the hypotenuse.

The two legs are 80 and a, and the hypotenuse is 82 which gives us

80² + a² = 82²

a² = 324

a = 18.

Answer:

18

Step-by-step explanation:

a² + b² = c²

a² + 80² = 82²

a² + 6400 = 6724

a² = 324

a = √324

a = 18

Answer:

The answer would be A

Step-by-step explanation:

1^2=1×1= 1

2^2 =2×2=4

3^2=3×3=9

4^2=4×4=16

Therefore,

√11  lies between 3 and 4

Answer:

A

Step-by-step explanation:

[tex]since 3 is \sqrt{9} and 4 is \sqrt{16} then it follows that \sqrt{11} is between the two[/tex]

Answer:

Width = 3y - 3

Step-by-step explanation:

P = 2l + 2w

12x - 4y - 4 = 2(6x - 5y + 1) + 2w

12x - 4y - 4 = (12x - 10y + 2) + 2w

6y - 6 = 2w

w = 3y - 3

The first line is perpendicular, the second line is not perpendicular and not parallel , the third line is parallel to the above line and the forth line not parallel or perpendicular to the line.

The slope of the line  is been given as −3x+5y=−15

Then [tex]y= \frac{3}{5x} -3[/tex], hence the slope is [tex]\frac{3}{5}[/tex]

the slope is [tex]y= \frac{5}{-3x} +5\\\\\frac{5}{-3}[/tex]

this means that the line is perpendicular to the given line

[tex]y= \frac{3}{-5x} +15\\\\\frac{3}{-5}[/tex]

This means that the line is not perpendicular and not parallel

[tex]y= \frac{3}{5x} +15\\\\\frac{3}{5}[/tex]

This means that the line is parallel to the above line.

[tex]y= \frac{-3}{5x} +3\\\\\frac{-3}{5}[/tex]

This means that the line is not parallel or perpendicular to the line

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Answer:

-84.

Step-by-step explanation:

n * -5 = 420

n = 420/ -5 = -84.

Answer:

- 84

Step-by-step explanation:

let the other integer be x , then

- 5 × x = 420

- 5x = 420 ( divide both sides by - 5 )

x = 420 ÷ - 5 = - 84

The solution to the inequality y > x + 3 and y < -x + 2 is the dark green region shown in the graph.

An equation is an expression that shows the relationship between two or more numbers and variables.

Inequality shows the non equal comparison of two or more numbers and variables.

Given the inequality y > x + 3 and y < -x + 2.

The solution to the inequality y > x + 3 and y < -x + 2 is the dark green region shown in the graph.

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Answer:

x = 3

Step-by-step explanation:

1) Divide both sides by -2.

[tex]6^x=\frac{-432}{-2}[/tex]

2) Two negatives make a positive.

[tex]6^x=\frac{432}{2}[/tex]

3) Simplify [tex]\frac{432}{2}[/tex] to 216.

[tex]6^x=216[/tex]

4) Convert both sides to the same base.

[tex]6^x=6^3[/tex]

5)  Cancel the base of 6 on both sides.

x = 3

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{-2(6)^x = -432}[/tex]

[tex]\huge\textbf{DIVIDE -2 to BOTH SIDES:}[/tex]

[tex]\mathbf{\dfrac{-2(6^x)}{-2} = \dfrac{-432}{-2}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{6^x = 216}[/tex]

[tex]\huge\textbf{Solve for the current exponent:}[/tex]

[tex]\mathbf{6^x = 216}[/tex]

[tex]\huge\textbf{Log them:}[/tex]

[tex]\mathbf{Log \ 6^x = log = 216}[/tex]

[tex]\huge\textbf{Take the log to both of the sides:}[/tex]

[tex]\mathbf{x \times log (6) = log(216)}[/tex]

[tex]\huge\textbf{Convert it:}[/tex]

[tex]\mathbf{x = \dfrac{log(216)}{log(6)}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{x = 3}[/tex]

[tex]\huge\textbf{Answer:}[/tex]

[tex]\huge\boxed{\mathsf{x = 3}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Probabilities that can be estimated from long-run relative frequencies of events are called objective probabilities.

In contrast to intuition or guessing, objective probability refers to the chances or odds that an event will occur based on the examination of certain measurements. Each metric is based on factual observation, a documented observation, or a long history of data collection.

Instead of being dependent on anecdotes, firsthand knowledge, or hunches, the objective probability is based on statistics, experiments, and mathematical measures. Using objective probability is crucial in the realm of finance to prevent making irrational investment decisions.

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The transformations which map f(x) to g(x) according to the equation are; Translation of f(x) 2 units to the left and 3 units upwards.

The equation given in the task content is as follows;

It therefore follows that the transformations which would produce function g(x) from f(x) involves a 2 units translation to the left and a 3 units translation upward.

Remarks:

The complete question requires that the transformations from f(x) to g(x) be identified.

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The type of data that would be best displayed in a box plot is the number of votes received by each of four candidate.

A box plot is used to study the distribution and level of a set of scores. The scores are distributed into 4 groups. Each group has a value of 25%

The whiskers represent the minimum and maximum scores.  On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

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The standard form of a line passing through the points (-1, -3) and (2, 1) is 4x - 3y = 5.

The slope of the given line, m = (1 - (-3))/(2 - (-1)) = (1 + 3)/(2 + 1) = 4/3.

Computed using the formula for the slope of a line, m = (y₂ - y₁)/(x₂ - x₁), when a line passes through the points (x₁, y₁) and (x₂, y₂).

The point intercept form of a line is y - y₁ = m(x - x₁) when the line passes through the point (x₁, y₁) and has the slope m.

Thus, the given line in the point intercept form can be written as:

y - 1 = (4/3)(x - 2).

The standard form of a line is ax + by = c.

To convert the point intercept form to the standard form, we do as follows:

y - 1 = (4/3)(x - 2),

or, 3(y - 1) = 3(4/3)(x - 2) {Multiplying both sides by 3},

or, 3y - 3 = 4x - 8 {Simplifying},

or, 8 - 3 = 4x - 3y {Rearranging},

or, 4x - 3y = 5 {Rearranging and simplifying}.

Thus, the standard form of a line passing through the points (-1, -3) and (2, 1) is 4x - 3y = 5.

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The quadratic equation ax²+bx+c = 0 is given and this is illustrated below.

ax²+bx+c = 0

Step 1: Subtract c from both sides

ax²+bx+c-c = 0-c

ax²+bx = -c

Step 2: Divide both sides of the equation by a

ax²/a + bx/a = -c/a

x² + bx/a = -c/a

Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides

x² + bx/a +  (b/2a)² = -c/a +  (b/2a)²

Step 4: Square the quantity b/2a on the right side of the equation

x² + bx/a +  (b/2a)² =  -c/a +  b²/4a²

Step 5: Find a common denominator on the right side of the equation which is 4a²

x² + bx/a +  (b/2a)² =  -4ac/4a² +  b²/4a²

Step 6: Add the fractions together on the right side of the equation

x² + bx/a +  (b/2a)² =  (-4ac+  b²)/4a²

Step 7: The equation on the left is to be written as a perfect square as shown

(x+b/2a)² =  (-4ac+  b²)/4a²

Step 8: Take the square root of both sides

√(x+b/2a)² = √ (-4ac+  b²)/4a²

(x+b/2a) =  √(-4ac+  b²)/2a

Step 9: subtract b/2a from both sides

x+b/2a - b/2a =  -b/2a + √(-4ac+  b²)/2a

x =  -b/2a + √(-4ac+  b²)/2a

Step 10: Add the fractions together on the right-hand side

x =  -b±√(-4ac+  b²)/2a

This will then gives the required equation.

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Answer:

AC = 9

Step-by-step explanation:

Set the negative value into absolute as length cannot be negative.

⇒ AC = AB + BC

⇒ AC = |-5| + 4

Formula: |-a| = a

⇒ AC = 5 + 4

⇒ AC = 9

Answer: I think the length is 9 units

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

I did this by inspection because {7, 24, 25} is a common trio, but ill just break it down for you.

Let the hypotenuse be x

Then [tex]14^2+48^2=50^2[/tex]

2500 = [tex]x^2[/tex]

x=50 or -50 (not applicable because you cannot have a negative length).

So the hypotenuse is 50.

Note: Common trios such as {3, 4, 5}, {5, 12, 13}, {7, 24, 25}, {8, 15, 17} are worth remembering as you can often multiply them in such questions. Such as in this question, {7, 24, 25} times 2 is {14, 48, 50}.

Hope you have a nice day!

Answer:

1/18

Step-by-step explanation:

P(Orange AND Red)

= P(Orange socks)*P(Red shirt)

= 1/3*1/6

= 1/18

Step-by-step explanation:

the ans is 19 a6 x5 y3

93-12-62×a2xy×a2x×a2x3y2

ans. 19 a6 x5 y3 add all the spuare and cube

Answer:

[tex]31a^2x(3y-4-2x^2y^2)[/tex]

Step-by-step explanation:

So the given equation is : 93a²xy - 124a²x - 62a²x³y². In this form you'll notice they all have a, and specifically a^2, and they also have x, but we only factor out x^1 since the first variable only has a degree of 1. So this gives us the equation: [tex]a^2x(93y-124-62x^2y^2)[/tex]. Now if we look at the coefficients you'll notice that they have a GCF of 31. So we can factor that out to. This gives you the equation: [tex]31a^2x(3y-4-2x^2y^2)[/tex] Which is your completely factored equation. You could also technically group 2xy^2 and 3y to get: [tex]31a^2x(y(3-2xy)-4)[/tex], although I'm not sure if that's considered "simplifying it"

The vertex U' is located at (-4, -5)

The vertices are given as:

U = (-4, 5)

V = (-6, 2)

The rule of transformation is given as:

Reflection across the x-axis

This is represented as:

(x, y) => (x, -y)

So, we have:

U' = (-4, -5)

Hence, the vertex U' is located at (-4, -5)

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Complete question

Quadrilateral UVWX is reflected over the x-axis to form quadrilateral U′V′W′X′. If vertex U is located at (-4, 5) and vertex V is located at (-6, 2), then vertex U′ is located at

x= 8 , -3

Given:

x² - 5x -24 =0

x² - 8x  + 3x -24=0

x(x-8) + 3(x- 8)=0

(x-8)(x+3)=0

x= 8 , -3

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Answer:

50

Step-by-step explanation:

[tex]\sqrt{-64}[/tex] and [tex]\sqrt{-16}[/tex] can be expressed in complex form, with [tex]\sqrt{-1}[/tex] = i

[tex]\sqrt{-64}[/tex] = [tex]\sqrt{64(-1)}[/tex] = [tex]\sqrt{64}[/tex] × [tex]\sqrt{-1}[/tex] = 8i

[tex]\sqrt{-16}[/tex] = [tex]\sqrt{16(-1)}[/tex] = [tex]\sqrt{16}[/tex] × [tex]\sqrt{-1}[/tex] = 4i

the factors can then be expressed as

(6 + 8i)(3 - 4i) ← expand using FOIL

= 18 - 24i + 24i - 32i² [ i² = ([tex]\sqrt{-1}[/tex] )² = - 1 ]

= 18 - 24i + 24i + 32 ← collect like terms

= 18 + 32 + 0

= 50