Which table shows a proportional relationship between x and y?

Based on the information provided, the best description of the relationship between the variables in the scatterplot is: option D, "Those with higher 200-meter times tend to have longer javelin distances. The relationship is moderate."

The scatterplot shows a positive relationship between the two variables, as indicated by the points being grouped loosely together in a line with a positive slope.

This means that as the 200-meter dash time increases, the javelin throw distance also tends to increase. The coefficient of correlation, r, also supports this relationship, as a value of 0.369 indicates a moderate positive correlation between the two variables. Though the correlation is moderate, it's important to note that this does not imply causality.

Therefore, note that, based on the description in the question, the relationship is moderate, not strong. The statement is accurate only when the correlation coefficient is between 0.3-0.7 which is considered as moderate correlation.

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Answer:

d

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Just count the units across, how to get from 2 to -2 which is just simply four units back.

Answer: 157.1

Step-by-step explanation:

Wilbur drove for 5 hours before Jack caught up with him.

Based on the information, the distance = (Wilbur's speed) x (time) = (Jack's speed) x (time + (time Wilbur drove))

We know that Jack's speed is 75 mph, and that he caught up with Wilbur after 2 hours. We also know that the distance covered by Jack is the same as the distance covered by Wilbur.

So we can write:

distance = (Wilbur's speed) x (time) = (Jack's speed) x (2 hours)

We are given that the Wilbur's speed is 30 mph, so we can substitute that in the above equation:

distance = 30 mph x (time) = 75 mph x 2 hours

Then we can solve for time by dividing both sides of the equation by 30:

time:

= (75 mph x 2 hours) / 30 mph

= 5 hours

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The circle equations for circles with diameters of 12 units that lie on the y-axis are:

We want to find the equations that represent circles that have a diameter of 12 units and a center that lies on the y-axis, now, remember that the general equation for a circle of radius R and a center (a, b) is:

(x - a)^2 + (y - b)^2 = R^2

If we want a circle that lies on the y-axis, then a = 0, and if the diameter is 12 units, then the radius is R = 6 units.

Then the equation is something like:

x^2 + (y - b)^2 = 6^2 = 36

The two circle equations with this form are:

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Answer:

Number of people wearing a red t-shirt= 14,500

Step-by-step explanation:

Giving the following information:

Number of people= 50,000

Percentage of people using red t-shirt= 29%

To calculate the number of people wearing a red t-shirt, we need to use the following formula:

Number of people wearing a red t-shirt= number of people*percentage of people wearing a red t-shirt

Number of people wearing a red t-shirt= 50,000*0.29

Number of people wearing a red t-shirt= 14,500

Answer:

Rolling a die.

Step-by-step explanation:

A die has 6 sides for every answer and the only choice regarding the number 6 and you can roll (questions) times.

Answer:

y=  -3          

y = 4                        

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

edge i graphed it on desmos

Vertical asymptote concept used to solve this question. First, I explain the concept, and then, you use it to solve the question.

Using this, we get that the correct option is:

There is a vertical asymptote at x = –5, because limit of g(x) as x approaches -5 minus = negative infinite and limit of g(x) as x approaches -5 plus, it is positive inifnite.

Vertical asymptote:

A vertical asymptote is a value of x for which the function is not defined, that is, it is a point which is outside the domain of a function;

In a graphic, these vertical asymptotes are given by dashed vertical lines.

An example is a value of x for which the denominator of the function is 0, and the function approaches infinite for these values of x.

The fraction is:

[tex]g(x) = -\frac{7(x-5)^2(x+6)}{(x-5)(x+5)}[/tex]

Simplifying:

The term (x-5) is present both at the numerator and at the denominator, and thus, the function can be simplified as:

[tex]g(x) = -\frac{7(x-5)(x+6)}{x+5}[/tex]

Vertical asymptote:

Point in which the denominator is 0, so:

[tex]x + 5 = 0[/tex]

[tex]x = -5[/tex]

Now, we take a look at the graphic of the simplified function, given at the end of this answer.

You can see that as x approaches -5 to the left, that is -5 minus, the function goes to minus infinite, and as x approaches -5 to the right, that is, -5 plus the function goes to plus infinite, and thus, the correct answer is:

There is a vertical asymptote at x = –5, because limit of g(x) as x approaches -5 minus = negative infinite and limit of g(x) as x approaches -5 plus, it is positive inifnite.

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2170 toys Jamal assemble altogether during his first 20 days.

What is the arithmetic sequence?

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms.

Here, we have

Given: Jamal got a job working on an assembly line in a toy factory. On the 20th day of work, he assembled 137 toys. He noticed that since he started, every day he assembled 3 more toys than the day before.

We have to find how many toys did Jamal assemble altogether during his first 20 days.

We apply the arithmetic sequence formula and we get

tₙ = t₁ + (n-1)d

137 = t₁ + (20-1)(3)

t₁ = 80

To calculate the total number of toys that Jamal assemble in his first 20 days,

S₂₀ = (20/2)(2×80 + (20-1)(3))

S₂₀ = 2170

Hence, 2170 toys Jamal assemble altogether during his first 20 days.

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Answer:

(0,5) and (1,0)

Step-by-step explanation:

Answer:

look at the picture I sent

A function is generally indicated by f.

A mathematical expression that indicates a relationship between an independent variable and a dependent variable.

In other word, a function shows a relation between a set of input values to a set of output values in where each input value is connected to only a particular output value.

A function is generally, expressed by letters such as f, g and h and so on.

It is said that f(x) is a function of x or g(x) and h(x) are a function of x when functions are denoted by g or h.

For an input value of an independent variable x, the output value is denoted by f(x) that is equal to a dependent variable such as y. We can write, y = f(x)

The set of x value are the domain of function, and the set of f(x) value are the ranges of a function.

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Complete question is: What is the value of f in a function?

Answer: the perimeter of the garden is 24 and the area of the garden is 32

Step-by-step explanation:

Perimeter: 4 + 4 + 8 + 8 = 24

Area: 4 x 8 = 32

Answer:

14 cm

Step-by-step explanation:

By the concept of the proportional method we determine that the height of the tower would be 48 feet.

In its most basic form, a ratio is a comparison between two comparable quantities.

There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.

If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.

The model given can be interpreted by the concept of proportional method

a : b : : c : d.

Therefore,

5 : 6 : : 40 : x.

5/6 = 40/x.

5x = 240.

x = 240/5.

x = 48 feet.

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Answer:

if LJK is 28, then by using the triangle sum theorem, JLK is 62. because the triangles are congruent,( angle+side+hypotneus/HL), JLK is congruent to JLM, so you add them together and get 62+62=124 = MLK. I'm pretty sure thats the right answer, might want to go over that.

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

For a quadratic equation ax² +bx +c= 0, the quadratic formula is as below:

[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]

x² -12x +7= 0

[tex]x = \frac{ - ( - 12)± \sqrt{( - 12) {}^{2} - 4(1)(7) } }{2(1)} [/tex]

[tex]x = \frac{12± \sqrt{144 - 28} }{2} [/tex]

[tex]x = \frac{12± \sqrt{116} }{2} [/tex]

[tex]x = \frac{12± \sqrt{4(29)} }{2} [/tex]

[tex]x = \frac{12±( \sqrt{4})( \sqrt{29} )}{2} [/tex]

[tex]x = \frac{12±2 \sqrt{29} }{2} [/tex]

[tex]x = 6± \sqrt{29} [/tex]

[tex]∴x = 6 + \sqrt{29} \: \: \: or \: \: \:x = 6 - \sqrt{29}[/tex]

Answer:none of these

Step-by-step explanation:

0.167 or 0.17 rounded to the nearest hundredth.

How do you round off decimal to the nearest hundredth?

When rounding to the nearest hundredth, you want to look at the third decimal place, the one to the right of the hundredth place. If the value in the third decimal place is less than 5, you truncate everything to the right of the hundredth place, leaving the number unchanged.

If the value in the third decimal place is greater than or equal to 5, you add one to the number in the hundredth place.

The total area of the rectangle is 15*5 = 75 square feet.

The area of the triangle inside the rectangle is (1/2)25 = 12.5 square feet.

The shaded region is the area of the triangle, so the probability that a randomly chosen point lies inside the shaded region is

12.5/75 = 0.167 or 0.17 rounded to the nearest hundredth.

Hence, 0.167 or 0.17 is rounded to the nearest hundredth.

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Answer:

The temperature was -8.5

Step-by-step explanation:

Subtraction

Answer:

[tex]-----------[/tex]

hope it helps...

have a great day

So, the bird visits 40 flowers per hour and approximately 347,750 flowers per year.

A. On average, a bird visits 950 flowers per day. To find the number of flowers visited per hour, we divide 950 by 24 (the number of hours in a day). This gives us approximately 39.58 flowers per hour. Rounded to the nearest whole flower, the bird visits 40 flowers per hour.

B. To find the number of flowers visited in a year, we multiply the number of flowers visited per day (950) by the number of days in a year (365). This gives us approximately 347,750 flowers visited per year.

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Answer:

[tex]\displaystyle f'(n) = 0[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Basic Power Rule:

Step-by-step explanation:

The derivative of any constant is equal to 0.

Answer: Nonresponse, voluntary, and convenience.

Step-by-step explanation:

For the first question, it should be noted that everyone cannot respond as only the people who have strong opinions will respond. Therefore, it's a nonresponse error.

For the second question, the people will have to volunteer. Therefore, it's a voluntary bias while the third one is a convenience sample as it's an easily available sample.

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Answer:

364 mm2.

Step-by-step explanation: