Is the following relation linear, quadratic, or cubic? If it is linear, find the equation. Explain your reasoning and include all of your work in your final answer.

p = {( x, y ) : (1, 0), (2, 4), (3, 8), (4, 12), . . . }

Answer:

b

Step-by-step explanation:

This a very difficult question but im pretty sure its b

Answer: x-intercept: (4, 0) y-intercept: (0, -6)

Step-by-step explanation: Ask for explanation if you want it.

Answer:

the j will be the highest one on the y axis

Step-by-step explanation:

the y-asis goes up and down

10 is positive so it goes up

5,7 is less than 10 so it goes below 10

Answer:

Step-by-step explanation:

a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.

Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:

P(at least one successful surgery) = 1 - P(no successful surgeries)

To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:

P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625

Therefore, the probability of at least one successful surgery out of three surgeries is:

P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375

So, the answer is d. 0.989 (rounded to three decimal places).

The total number of students who graduated from the Cincinnati universities and colleges are 15382.

We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.

The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.

We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.

Let the total number of students be x.

ATQ:

6.67 % x = 1026

6.67 x = 102600

667 x = 10260000

x = 10260000 / 667

x = 15382.309

Rounding off to the nearest whole number is:

x = 15382.

Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.

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The equation for worker A is represented by \(y=20x\)

Given,

Equation for worker B earning is represented by \(y=15.5x\)

where, y=number of dollars and x= hours

From the graph, it is clear that worker A earns more money than worker B is less time.

Lets say, for 1 hour, worker B earns,

substitute x=1 ,

\(y=15.5(1)\\y=15.5\)

Worker B earns 15.5 dollars for every hour. So, worker A must earn more than 15.5 dollars for every hour.

From given options, it is clear that \(y=20x\) is the correct answer because, it is the only option when substituting x=1 gives y=20 which is greater than worker B.

Thus, the equation for worker A is represented by \(y=20x\).

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The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.

A proportional relationship is defined as follows:

y = kx.

In which k is the constant of proportionality.

In the context of this problem, the variables x and y are given as follows:

The equation for the constant is given as follows:

k = y/x.

Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.

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Answer:

The approximate speed of the robot during the 5 seconds is:

Step-by-step explanation:

To calculate the speed of the robot, you must begin with the positions, the first position (3, 18) and the second position (31, 6), you can see, in the height it moved from 3 to 31, it means 28 feet, in the width it moves from 18 to 6, it means 12 feet, with these data you can construct a triangle where you have the opposite leg and adjacent leg, now you must calculate the hypotenuse, because it is the linear path from the first position to the second position that the robot took, for this, you can use the Pythagoras theorem:

With the value of the distance traveled, and the time used (5 seconds), we can calculate the speed with the next formula:

As you need the speed in the nearest whole number, then:

Answer:

1/2

Step-by-step explanation:

1

3

−

1

2

(1)

2

=

1

3

−

1

2

2

=

1

3

−

1

4

=

1/12

Answer:

No triangles because the by the above direction we can only make two legs of the triangle

Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

\(\tan(y )=\cfrac{\stackrel{opposite}{6}}{\underset{adjacent}{4}} \implies \tan( y )= \cfrac{3}{2} \implies \tan^{-1}(~~\tan( y )~~) =\tan^{-1}\left( \cfrac{3}{2} \right) \\\\\\ y =\tan^{-1}\left( \cfrac{3}{2} \right)\implies y \approx 56.31^o \\\\[-0.35em] ~\dotfill\\\\ \tan(x )=\cfrac{\stackrel{opposite}{4}}{\underset{adjacent}{6}} \implies \tan( x )= \cfrac{2}{3} \implies \tan^{-1}(~~\tan( x )~~) =\tan^{-1}\left( \cfrac{2}{3} \right) \\\\\\ x =\tan^{-1}\left( \cfrac{2}{3} \right)\implies x \approx 33.69^o\)

Make sure your calculator is in Degree mode.

Answer:

8/9

Step-by-step explanation:

1/2= 0.5

2/5= 0.4

8/9= 0.8

1/3= 0.3

Answer:

8/9, hope this helps

Step-by-step explanation:

Answer:

The experiment design used in this case is the between-subjected design.

Step-by-step explanation:

Between-subject design is a sort of experimental design where the individuals of an experiment are allocated to varied situations, with each individual being treated with only one of the experimental conditions.

In this case three similar ecosystems are designed containing a variety of insects and plants. Then each ecosystem to be exposed to rock music, country music, or a conventional city soundscape for two consecutive weeks.

Then after two weeks period they measured how successful the species were in each ecosystem.

The experiment design used in this case is the between-subjected design.

Answer:

A completely randomized design

Step-by-step explanation:

The 3 ecosystems were each randomly assigned a treatment. They were not grouped in any way with random assignment happening within each group, so this is a completely randomized design. (From Kahn)

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

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Answer:

1. 90 in. by 30 in.

2. 4.5 in. by 1.5 in.

3. 13.5 inches by 4.5

Those are the 3 correct answers.

Answer:

25%

Step-by-step explanation:

1:4= 1/4

4×25= 100

1×25=25

25/100= 25%

(also 1/4 will always mean 25%)

If the sun is 69° above the horizon, the length of the shadow cast by a building 91 ft tall

You should understand that the length of the shadow is the distance between a point to the foot of the tenth

This makes an angle of depression, with 69 degrees

Remember that the angle on top of the tenth is 90-69 = 21 degrees

therefore, using the trigonometrical ratio

We have Tan∅ = opposite of adjacent

Tan 21⁰ = x/9

x= 9*tan 21⁰

x = 9*0.3839

The distance is 3.45

Therefore the length of the shadow cast by a building is approximately 3.5 feet long

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Answer:

x>9/5

Step-by-step explanation:

x>9/5

The value of x is 22.5

Similar triangles are triangles that have the same shape, but their sizes may vary. For two triangles to be similar , the corresponding angles of the triangle must be congruent.

Also, the ratio of corresponding sides of Similar triangles are equal.

Therefore;

6/9 = 15/x

6x = 15×9

6x = 135

divide both sides by 6

x = 135/6

x = 22.5

Therefore the value of x in the triangle is 22.5

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Given:

\(x^2-6xy+36y^2\)

To find:

Whether the given trinomial is a perfect trinomial or not.

Solution:

We have,

\(x^2-6xy+36y\)

It can be written as

\(=x^2-6xy+6^2y^2\)

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

This equation is not of the form \((a-b)^2=a^2-2ab+b^2\) because in the above expression, 2 is missing in the middle term.

Therefore, the given trinomial is not a perfect square.

The answer is 32.13 kilometers

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

\(32.13km\)

Step-by-step explanation:

First find the arc length of

\( \frac{90}{360} \times2 \pi r \\ \frac{1}{4} \times 3.14 \times 9 \times 2\\ = \frac{254.34}{4} \\ = 14.13km\)

Now let's find the perimeter

\(perimeter = arc \: \: length + radius + radius \\ 14.13km + 9 + 9 \\ =32.13km \)

The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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The slopes are best approximated as: The slopes are approximately -1.7, 0, and 1.7.

The formula to find the slope between two coordinates is expressed as:

Slope = (y₂ - y₁)/(x₂ - x₁)

The slope of each line above the x-axis are:

Slope 1 = (5 - 0)/(5 - 8)

Slope 1 = -1.7

Slope 2 = (5 - 5)/(5 - (-2))

Slope 2 = 0

Slope 3 = (5 - 0)/(-2 - (-5))

Slope 3 = 5/3 = 1.7

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Answer: И что делать с этим?

Step-by-step explanation:

Answer:

A right angled Triangle

Answer:

100 seconds

Step-by-step explanation:

200/2 = 100s

Answer:

7.5 or 7 1.2

Step-by-step explanation:

Answer:

405 pounds

Step-by-step explanation: