601.584 to the nearest tenth

When I graph the inequality symbol > should it be a open or closed<br> circle on the number line?

gavmur [86]

Answer:

It should be open.

Step-by-step explanation:

Hope this helped!

4 0

2 years ago

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What are the slope and the y-intercept of the linear function that is represented by the equation 8x-2y = 57

krok68 [10]

Answer:

slope(m)=4 and

y-intercept(c)=-5/2

Step-by-step explanation:

here,8x-2y=5

reducing it into slop intercept form we get,

2y=8x-5

or,y=8/2x+(-5/2)

or,y=4x+(-5/2)

comparing it with y=mx+c we get,

slope(m)=4 and

y-intercept (c)=-5/2

5 0

2 years ago

Students in a world geography class want to determine the distances between cities in Europe. The map gives all

galina1969 [7]

Using a proportional relationship, we have that:

a) The constant of proportionality is of 0.625, hence the equation is: $y = 0.625x$ .

b) The distance of two cities that are 5 miles apart is of 8 kilometers.

c) When they are 200 kilometers apart, we have that the distance in miles is of $y = 0.625(200) = 125$ .

<h3>What is a proportional relationship?</h3>

A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.

$y = kx$

In which k is the constant of proportionality.

Item a:

From the graph, when x = 8, y = 5, hence:

$y = kx$

$5 = 8k$

$k = \frac{5}{8}$

$k = 0.625$

The constant of proportionality is of 0.625, hence the equation is: $y = 0.625x$ .

Item b:

From the graph, when y = 5, x = 8, hence:

The distance of two cities that are 5 miles apart is of 8 kilometers.

Item c:

When they are 200 kilometers apart, we have that the distance in miles is of $y = 0.625(200) = 125$ .

You can learn more about proportional relationship at brainly.com/question/13550871

4 0

1 year ago

The diameter of a circle is 15 ft. Find its circumference in terms

Luda [366]

Answer:

C≈47.25

Step-by-step explanation:

Use the formula C= πd, where C is circumference, π is pi, and d is diameter.

Input the numbers and we'll shorten π to 3.15

C=3.15(15)

C≈47.25

5 0

1 year ago

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Help it’s slope idk how to do it

Over [174]

a. $\boxed{y-602=\frac{2}{3}(x-3)}$

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

$P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)$

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

$y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line$

Finding (m):

$Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\ P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}$

Finally, the equation of the line is:

$(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}$

In this case, we have that:

The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
The y-axis represents the <em>Height of the Tree </em>in inches.

Since the slope o a line is:

$Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}$

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

The y-intercept can be found setting $x=0$ . So, from our equation:

$y-602=\frac{2}{3}(x-3)} \\ \\ \\ If \ x=0: \\ \\ y-602=\frac{2}{3}(0-3) \\ \\ y-602=-2 \\ \\ Solving \ for \ y: \\ \\ y=602-2 \\ \\ y=600$

So the y-intercept is $y=600$ and<em> represents the height of the tree at the moment Ariel started to record the heights.</em>

<h2>Learn more:</h2>

Slope Intercept form: brainly.com/question/4192440

#LearnWithBrainly

4 0

2 years ago