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Aleks04 [339]
3 years ago
11

A dot plot titled Number of Hours Spent on Homework goes from 1 to 6. There is 1 dot above 1, 5 dots above 2, 6 dots above 3, 4

dots above 4, 1 dot above 5, and 1 dot above 6. What is a dot plot and how do you read it? Check all that apply. A dot plot is a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set. 3 students spent 4 hours on homework. 5 students spent 2 hours on homework. Dot plots show the distribution of the data. Students spent 1 to 6 hours on homework.
Mathematics
1 answer:
Flura [38]3 years ago
3 0
This is more than one question.
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Can someone please help me in one of these!?
Anarel [89]

Answer:

9) y = -200x + 1200

11) slope = -2

15) $2,450

16) 9 days

Step-by-step explanation:

9) Given the two points from the graph:

Let (x₁, y₁) = (0, 1200)

(x₂, y₂) =  (1, 1000)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (1000 - 1200)/(1 - 0)

m = -200/1

m = -200

The slope of the line is -200.

Next, we need to determine the y-intercept, which is the point on the graph where it crosses the y-axis. Upon observing the graph, it shows that the line crosses at point (0, 1200). The y-coordinate of this ordered pair is the value of the y-intercept, b = 1200.

Therefore, the linear equation in slope-intercept form is y = -200x + 1200.

<h3>11) Given the points, (5, -18) and (-4, 0): </h3>

Let (x₁, y₁) =(5, -18)

(x₂, y₂) =  (-4, 0)

Substitute these values into the following <u>slope formula</u>:

m = (y₂ - y₁)/(x₂ - x₁)

m = \frac{0 - (-18)}{-4 - 5} = \frac{0 + 18}{-9} = -2

Therefore, the slope of the line is -2.

<h3>15) Solve:</h3>

Given the fixed fee of $200, and the $150 per hour after the initial meeting:

We can represent these in slope-intercept form:

y = 150x + 200

y = total cost for the Attorney's services

x = number of hours worked.

The y-intercept in this given problem is $200, which represents the flat fee charged for the initial meeting. While the slope in this equation is $150, which is the hourly rate that an Attorney charges his clients after the initial meeting.

If an Attorney works for 15 hours, then:

Let x = 15, and substitute its value into the equation to find the total cost:

y = 150x + 200

y = 150(15) + 200

y = 2,250 + 200

y = 2,450

Therefore, a client will pay a total of $2,450 for an Attorney's 15 hours of work.

<h3>16) Solve: </h3>

Given the water level on a Lake of 165 inches after a rainstorm, and the water level's receding rate of 3 inches per day:

We can establish the following linear equation to model this given problem:

L = -3d + 165

Where:

L = represents the water level of the Lake

d = number of days that the water level recedes

In order to find the number of days it will take before the water level recedes to 84 inches:

Substitute the value of L = 84 into the equation:

L = -3d + 165

84 = -3d + 165

Subtract 165 from both sides:

84 - 165 = 3d + 165 - 165

-27 = -3d

Divide both sides by  -3:

\frac{-27}{-3} = \frac{-3d}{-3}

9 = d

Therefore, it will take 9 days for the water level to be at 84 inches.

7 0
3 years ago
In the quotation in lines 61-64, George Will
nexus9112 [7]

The correct answer is option e) the extent to which a cloned person might differ from the original person.

In the quotation in lines 61-64, George Will primarily draws attention to the extent to which a cloned person might differ from the original person.

What is human(person) cloning?

Human cloning is the process of creating a genetically identical replica of a human (or clone).

The phrase is most commonly used to refer to artificial human cloning, or the replication of human cells and tissue. It does not relate to identical twins being conceived and delivered naturally.

The prospect of human cloning has sparked debate. Because of these ethical considerations, numerous countries have passed laws prohibiting human cloning.

Therapeutic cloning and reproductive cloning are the two most widely discussed kinds of human cloning. Therapeutic cloning would include cloning human cells for use in medicine and transplantation.

Context of lines 61-64

Satan is disoriented in a completely black pool of fire. Beelzebub, Satan's second-in-command, stands next to him. Satan addresses him and laments their current situation.

Satan advises them to flee the flaming lake and seek refuge on a distant beach. Beelzebub requests that Satan assemble his soldiers. Satan dons his armor and summons his armies to join him on land.

He addresses his troops and vows to continue his battle against God. The demons use their superhuman abilities to build Pandemonium, a huge temple for meetings.

EXPLANATION

The poet depicts the classic landscape of Hell in these verses. After their rebellion against God, Satan and his minions were hurled down from Heaven to Hell.

For nine days, they lay comatose in Hell's burning lake. When they regain consciousness, Satan notices that the location in which they are imprisoned is a horrifying, circular, and burning dungeon like a large furnace.

This analogy vividly conjures up the image of Hell's lake. Satan notes that there is fire but no light in Hell; it is complete darkness, complete darkness, without any residue, mixture, or prospect of light.

It will always be the blackness of darkness. The poet here employs the universal symbolism of light and dark to represent good and evil.

Satan, as Lucifer, was the brightest of all the angels before his fall; as he grows progressively more evil after his fall, he eventually loses all of his brightness.

Satan comes to the conclusion that the fires will never go out and the pain will never cease. In essence, the poet's description of Hell in these verses is a horrifying, scorching, and murky realm of sorrow and pain.

Learn more about human cloning

brainly.com/question/4736686

#SPJ4

4 0
1 year ago
Can someone help fill in 5 blanks
Yuri [45]
3: -27
4: 81
5: -243
All you need to do is plug in the numbers into the exponent spot.
3 0
3 years ago
Which equation represents the data in
klasskru [66]

Answer:

y = 2x - 4

Step-by-step explanation:

The equations are put in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and b = y intersect

So in order to find the equation of the data represented by the table we will have to find the slope and y intercept

Let's begin!

First let's find the slope

We can find the slope by using the slope formula

m = (y2 - y1) / (x2 - x1) where the x and y values are derived from coordinates from the table

The points chosen may vary but I have chosen the points (0,-4) and (1,-2)

Now that we have chosen the points we will use to find the slope let's define the variables

remember coordinates are written like this: (x,y)

The x value of the second coordinate is 1 so x2 = 1

The x value of the first coordinate is 0

So x1 = 0

The y value of the second coordinate is -2 so y2 = -2

The y value of the first coordinate is -4

So y1 = -4

Now that we have defined each variable let's plug in the values into the formula

Formula: m = (y2 - y1) / (x2 - x1)

Variables: x2 = 1, x1 = 0, y2 = -2, y1 = -4

Substitute values

m = (-2 - (-4) / ( 1 - 0 )

Evaluate

The negative signs cancel out on top and it changes to +4

m = (-2 + 4)/(1-0)

Add top values

m = 2/(1-0)

Subtract bottom numbers

m = 2/1

Simplify fraction

m = 2

So we can conclude that the slope (m) = 2

Now let's find the y intercept or "b"

The y intercept is the value of y when x = 0

If you look at the table when x = 0 y = -4 meaning that the y intercept or "b" is -4

Now that we have found everything let's find the equation of the data represented by the table

The equation is in slope intercept form

y = mx + b

Define variables

m = 2 and b = -4

Substitute values

y = 2x - 4

The equation is y = 2x - 4

4 0
3 years ago
The equation for a circle with center (h, k) is (x - h)^2 + (y - k)^2 = r^2. If a circle is modeled by the equation x^2 + (y + 6
Ronch [10]

(x - h)^2 + (y - k)^2 = r^2

x^2 + (y + 6)^2 = 100

we can rewrite this as

(x-0)^2 + (y - -6)^2 = 10^2

the center is (0,-6) and the radius is 10

5 0
3 years ago
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