Find the quadratic using the graph.

(a) The scatter plot and the line of fit are shown in the graph.

(b) The equation of the line of fit is y = -2.5x+18.3.

(c) The slope is -2.5 which indicates that the gamer losses 2.5 every week after getting a new game.

A scatter plot is a graph of the given points or given data.

(a)

To make a scatter plot of the data, plot the points (x,y) on a graph.

To draw the line of fit, draw a line such that the distance between the line and the plotted points is minimum.

(b) The line passes through points (7.3,0)and (0,18).

The equation of the line is given by:

[tex]y-y_1=\frac{(y_2-y_1)}{(x_2-x_1)}(x-x_1)[/tex]

Substitutes the points (x₁,y₁) = (7.3,0) and (x₂,y₂)=(0,18) into the above equation:

[tex]y-0=\frac{18-0}{0-7.3}(x-7.3)\\y=-2.5(x-7.3)\\y=-2.5x+18.3[/tex]

(c) The slope of a line of the form y=mx+c is m.

Therefore, the slope of the line y=-2.5x+18.3 is m = -2.5.

The slope indicates the change in y with respect to the change in x.

Therefore, the slope -2.5 indicates that the gamer losses 2.5 every week after getting a new game.

Hence,

(a) The scatter plot and the line of fit are shown in the graph.

(b) The equation of the line of fit is y = -2.5x+18.3.

(c) The slope is -2.5 which indicates that the gamer losses 2.5 every week after getting a new game.

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The price of ticket will be $26 approximately in 2009 using the concept of the linear equation and slope.

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is fairly simple (x and y). When attempting to solve systems of two linear equations, this form is also very helpful.

Here,

The line has 2 points,

(2001,18) and (2005,22)

m=(22-18)/(2005-2001)

m=1

y-y1=m(x-x1)

y-18=x-2001

x-y=1983

(2009,y) is on that line,

2009-y=1983

y=26

Using the idea of the linear equation and slope, the ticket price in 2009 will be approximately $26.

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Answer:

I agree with her the reason? because she is right

67.50/6= 11.25 meaning it's $11.25 per ticket

47/4= 11.75  meaning it's $11.75 per ticket

Step-by-step explanation: Jamar spent 11.25 per ticket

Aaron spent 11.75 per ticket meaning she spent more than Jamar

The distance up the house the ladder will reach after pulling it 10 feet further from the base of the house is 43.9 ft.

The ladder is set against the side of the house so that it reaches up 48 feet.  Shaniece grabs the ladder at its base and pulls it 10 feet farther from the house.

The height of the ladder on the house can be computed as follows:

The situation form two right angle triangle.

The initial distance of the base of the ladder from the house can be calculated as follows;

using Pythagoras's theorem,

b² = 50² - 48²

b = √2500 - 2304

b = √196

b = 14 ft.

Therefore, the initial distance of the ladder from the base of the house is 14 feet.

Let's find the height of the ladder on the house after pulling it 10 ft further.

using Pythagoras's theorem,

b² = 50² - 24²

b = √2500 - 576

b = √1924

b = 43.8634243989

b = 43.9 ft

Therefore,

height of the ladder up the house = 43.9 ft

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The measurement of the distance from the tip of the slice of pizza to the crust is the radius.

The diameter of the pizza is 12 inches and the circumference is 37.7 inches

A slice of pizza is cut from the middle of the pizza to the crust. It is therefore cut from the middle of the pizza (circle) to the edge of the pizza (circle).

This is the radius because the radius is the straight - line distance from the edge of the middle of a circle to the edge.

If the radius is 6 inches, the diameter is:

= radius x 2

= 6 x 2

= 12 inches

The circumference is:

= π x diameter

= 22/7 x 12

= 37.7 inches

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The meaning of the x-value when y=90 means that Anthony will use 3.1 hours.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The relationship that can be represented by the equation y=57+7.4x,

where

y represents the expected quiz score

x represents hours spent on homework that week.

When y = 90, the value of x will be:

y=57+7.4x

57 + 7.4x = 90

Collect like terms

7.4x = 90 - 57

7.4x = 23

Divide

x = 23/7.4

x = 3.1

He'll use 3.1 hours.

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the graph above is the graph of a Cubic function, namely a polynomial with a degree of "3", and the behaviour is that it comes from the bottom from -infinity goes up up get to a smooth flat or horizontal plateau then it keeps on going right back up, its slope is never negative.

now, Cubic functions do not have a "vertex" as in a U-turn sense or a peak-sense.

a) These ramp dimensions do not meet the ADA guidelines.

b) A measurement that would meet the guidelines is the ramp starting 39 feet away, with a height of 3 meters.

The slope of a situation is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

For the ramp in this problem, we have that the vertical change and the horizontal change are given as follows:

The ratio between the vertical change to the horizontal change is of:

3/15 = 1/5.

Which is greater than 1/12, hence the ramp does not meet the ADA guidelines.

If the horizontal change was 13 times the vertical change, it would meet the ratio, hence a possible measurement is of:

As the ratio would be of:

3/39 = 1/13 < 1/12.

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It is true that when scores are normally distributed with a mean of 460 and standard deviation of 80, then the probability that an applicant scores below 552 is 0.8329.

Given, a large number of MBA applicants are given an aptitude test. scores are normally distributed with a mean of 460 and standard deviation of 80.

We are asked the probability that an applicant scores below 552.

Now, using the formula of probability, we get

P(X < 552) = 0.8329

when the mean is given i.e. 460 and standard deviation is given i.e. 80.

Hence, it is true that when scores are normally distributed with a mean of 460 and standard deviation of 80, then the probability that an applicant scores below 552 is 0.8329.

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Answer:

Step-by-step explanation:

Answer x = 4 or x = -4.

Explanation: you can make what is called a 3-4-5 triangle. The base in this case is 3(from -2 to -5 there is 3 units), the hypotenuse is 5(length given in the question) therefore the height (also known as the y coordinate) is 4 or -4 if you flip the triangle.

The volume of the cylindrical Pringles chip can is 1508 cm³

From the question, we are to determine the volume of cylindrical can

The volume of a cylinder is given by the formula

V = πr²h

Where V is the volume of the cylinder

r is the radius

and h is the height

From the given information,

Diameter = 8 cm

But,

Radius = Diameter / 2

Therefore,  

r = 8 / 2 = 4cm

h = 30 cm

Thus,

Volume of the cylindrical can = π× 4² × 30

Volume of the cylindrical can = π× 16 × 30

Volume of the cylindrical can = 480π cm³

Volume of the cylindrical can = 1507.96447 cm³

Volume of the cylindrical can ≈ 1508 cm³

Hence,

The volume is 1508 cm³

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Answer:

£23, 490

Step-by-step explanation:

10% deposit by Carol of £234,900

10/100 *£234,900

0.1*£234,900=£23,490

Answer:

A $1.20

Step-by-step explanation:

Answer:   A) $1.20

Step-by-step explanation:   To get 10% of a number, you just need to divide by 10, so 12 ÷ 10 = 1.2.

None of the values in the given set makes the inequality false.

Given that,
To check for the expression 5m/6 - 5 < m/2 + 3, whether the set of values S:{−24, 2, 20, 35}  holds or not.

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
given expression,
5m/6 - 5 < m/2 + 3
5m/6 - m/2 < 3 + 5
(5m - 6m)/6 < 8
-m < 48
m > -48

Thus, none of the values in the given set make the inequality false.

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The function represented by the graph has an equation of f(x) = |x - 3| + 5

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

The graph is an absolute value graph

As a general rule, an absolute value is expressed as

y = |x - h| + k

In this case, the vertex is

Vertex = (h, k)

As a general rule, the vertex of a function is the minimum point on the graph

On the given graph, the minimum point is (3, 5)

This means that

(h, k) = (3, 5)

Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k

So, we have the following representation

y = |x - 3| + 5

Rewrite the equation as a function

f(x) = |x - 3| + 5

Hence, the equation of the graph represented by the figure is f(x) = |x - 3| + 5

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The different two-letter initials can people have using the upper case characters in the English alphabet is 676 (if no specifications are given)

The question has not specified other conditions so we have assumed it by cases and solved it

Case 1 -

“Everything” allowed, means that we are considering solutions like “AA” and “BA, AB”

If this is the case then there are => 26 x 26 = 676 Combinations,

Case 2-

No repetition allowed

Here, we are excluding cases like “AA, BB” etc so here we have

26 x 25 = 650 as our answer

Case 3-

no repetition allowed + unique set every time, So

here we will have ²⁶C₂ (this is basic combinatorics formula )

= (26 x 25)/2

= 325 combinations possible

Case 4 -

Repetition allowed + unique set every time

here we will assume along with the uniqueness of each combination we will add Repeated combinations, Here we have “AA, BB, CC,……..ZZ” 26 new combinations along with unique ones So,

²⁶C₂+ 26 = 325 + 26 = 391 possible cases.

and I would recommend adding more detail to your question specifying the conditions in a better way, but the technically correct answer to your questions if no conditions are CASE 1.

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The formula for w in terms of p and l is w = (p - 2l)/2

Numbers, symbols and operators grouped together that show the value of something.

Given that, an expression p = 2l + 2w

Solving for w, we get,

w = (p - 2l)/2

Hence, The formula for w in terms of p and l is w = (p - 2l)/2

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Answer:

Step-by-step explanation:

You want the value of p(x)=5x^3+6x^2+4x for x=-5 and x=15.

Writing a polynomial in Horner form can simplify evaluation.

  p(x) = ((5x +6)x +4)x

  p(-5) = ((5(-5) +6)(-5) +4)(-5) = (-19(-5) +4)(-5) = 99(-5) = -495

  p(15) = ((5(15) +6)(15) +4)(15) = (81(15) +4)(15) = 1219(15) = 18285

The value of v as required to be solved for in the task content is; 47.

It follows from the complete task content that a right triangle in which case the angle measures are; 50°, (v - 7)° and 90° is to be solved for variable v.

Recall from triangle geometry that the algebraic sum of angles in a triangle is; 180°.

Therefore, we have;

50° + (v - 7)° + 90° = 180°

v - 7 + 140 = 180

v = 180 - 140 + 7

v = 47.

On this note, the value of variable, v as required to be determined is; 47.

Completed question; The complete question is such that a right triangle with two other angles 50° and (v - 7)° is given.

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Step-by-step explanation:

as the graph shows :

4x + 12x = 320

16x = 320

x = 20

1.) Yes,it will fit because volume of the base ball is 13.36 cubic inch and the volume of box is 64 cubic inch which greater than the volume of baseball .

2) The ratio of the side length of box B to the side length of box

A is 1.472 inche : 6 inch.

What is cube ?

A Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

What is circumference?

The circumference is the distance that surrounds a circle. We can measure the circumference of the earth by measuring the distance that we will have to walk all the way around the world.

To check whether the baseball is will till in the box we will check the maximum value of circumference.

⇒  [tex]2\pi r[/tex] = 9.25

⇒ [tex]r = \frac{9.25}{2\pi}[/tex]

⇒[tex]r = 1.472 in.[/tex]

Volume of the baseball [tex]= \frac{4}{3} \pi x^{3}[/tex]

                                      [tex]= \frac{4}{3}\times \pi\times (1.472)^3 in^3[/tex]

                                      [tex]= 13.36\ in^3 < 64 \ in^3\\[/tex]

So, it will fit inside the box.

2.)[tex]\sqrt[3]{216} = 6 \ (\therefore V = a^3)[/tex]

The length of each side of the box is 6 inches.

and the ratio of the side length of box B to the side length of box

A:

1.472 in : 6 inches

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Answer:

6 cm

Step-by-step explanation:

The circular mirror Dominic should buy is the mirror with a side length of

8 cm.

Option A is the correct answer.

A Square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given as side².

We have,

Old mirror.

Side = 9 cm

Area = 9 x 9 = 81 cm²

New mirror.

Side = 8 cm

Area = 64 cm²

Side = 7 cm

Area = 7 x 7 = 49 cm²

Side = 6 cm

Area = 6 x 6 = 36 cm²

64 cm² is closer to 81 cm².

Thus,

A circular mirror with a side length of 8 cm should be bought.

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2/216 or 1/108 is the probability of rolling a number .

How does probability explain work?

The great thing about this question is that all three of those rolls are Independent Scenarios.

The probability of the first roll does not effect the outcome of the second or third roll

   1/6 ( we want a 1, and there are 6 options.)

1/6 ( We want a 3, and there are 6 options

2/6 ( We want a 5 or 6, and there are 6 options)

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Answer:

Unclassified

Step-by-step explanation:

Which questions would you like answered?

When one lists their ages and their heights as ordered pairs (age, height), the statement that is true is D. It is both a relation and a function.

A relation between two sets is a collection of ordered pairs that each contain one object from the other set. If the ordered pair (x,y) is in the relation and the object x is from the first set and the object y is from the second set, the objects are said to be related. A relation is a type of function.

A function is a relation that states that there should be only one output for each input (or) we can say that a function is a special type of relation (a set of ordered pairs) that follows a rule, i.e., every X-value should be associated with only one y-value.

It should be noted that based on the information, only one value can be attributed to each person. Therefore, the correct option is D.

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Answer:

If a house need 50 hours to paint, it will cost $3000

Step-by-step explanation:
--- According to the problem, $500 is the cost for supplies, which means that for every house, that cost will be there. In other words, this payment never changes no matter the house. So far you pay $500

--- Now, the problem says that you pay $50 for each hour of labor. Since the house need 50 hours, we will multiply 50 (the cost) by 50 (the hours) = 2500.

--- Now we put the payments together. 500 + 2500 = 3000. So it will cost $3000 to paint a house that need 50 hours.

The percent of the number is 0.5% when the number is 1/200.

Given that,

We have to find the percent of the number 1/200.

A percentage is a number or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the symbol "%" or just "percent" or "pct."

Take the number.

1/200

Multiply by 100

1/200×100

We get

1/2

In decimal we get

0.5%

Or

Convert the number to decimal.

1/200= 0.005

Multiply 0.005 by 100 to convert to a percentage.

0.005×100

Simplify

0.5%

Therefore, The percent of the number is 0.5% when the number is 1/200.

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