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Serjik [45]
2 years ago
5

Mason stands on the 5th step of a vertical ladder. The ladder has 15 steps, and the height difference between consecutive steps

is 0.5M. H(N) models the height above the ground of Mason's feet (in M) after moving N steps (if Mason went down the ladder, N is negative). Which number type is more appropriate for the domain of H? What's the appropriate domain?
Mathematics
2 answers:
Anna [14]2 years ago
6 0

Answer:

integers

−5≤n≤10

Step-by-step explanation:

MrMuchimi2 years ago
5 0
Which number type?  I'd go with Whole numbers or integers, since the steps are just whole values one step after the next.

well, an appropriate domain, namely the inputs, well, He's on the 5th step, there are 15 steps, so he's really 10 steps away from the top of the ladder, and going down N being negative, he's -5 steps from the ground.

{ N | N ∈ ℤ ,  -5 ⩽ N ⩽ 10 }
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Thirty percent of the students in a high school face a disciplinary action of some kind before they graduate. Of those students,
MAXImum [283]

Answer:

D. 54%

Step-by-step explanation:

For simplicity, lets assume we have 100 students in high school.

30% of students face disciplinary action, therefore;

⇒ (30/100) x 100 = 30 students.

of these 30 students, 40% go to college. therefore;

⇒ (40/100) x 30 = 12 students (go to college)

Also 70% of students do not face disciplinary action, therefore;

⇒ (70/100) x 100 = 70 students.

of these 70 students. 60% go to college. therefore;

⇒ (60/100) x 70 = 42 students (go to college)

Total number of students who go to college

⇒ 12 + 42 =  54 students

% of students who go to college

⇒ 54/100 = 54%

7 0
2 years ago
Which function does the graph represent
Doss [256]

Answer:

C

Step-by-step explanation:

Obviously this a log function.  What you have to know about the parent graph of a log function is that it goes through the origin (0, 0).  Ours appears to go through -1, so it has moved 1 unit to the left, and our appears to have moved up 3 units.  The parent graph for the log function in standard form is

f(x) = log(x - h) + k.

where h indicates the side to side movement, and k represents the up and down movement.  In our standard form, we fit in -1 as follows: (x - (-1)), which of course is equivalent to (x + 1).  Because our function has moved up 3 units, our k is a positive 3.  So the translation of the parent graph to what we see is

g(x) = log(x + 1) + 3, choice C

8 0
2 years ago
Read 2 more answers
Lily and Mackenzie collected some stamps. If Lily gave 4 stamps to Mackenzie, Mackenzie would have twice as many stamps as Lily.
vlabodo [156]

x-4=x(2)

x-4=2x

+4   +4

8 = 6

lilly has 8 stamps and mackenzie has 6

7 0
2 years ago
Which equation can pair with x + 2y = 5 to create an inconsistent system?
Charra [1.4K]
X + 2y = 5
x = 5 - 2y

2x + 4y = 3
2(5-2y) + 4y = 3
10 - 4y + 4y = 3
10 ≠ 3

5x + 2y = 3
5(5-2y) + 2y = 3
25 - 10y + 2y = 3
-8y = 3 - 25
-8y = -22
y = -22/-8
y = 2.75

6x + 12y = 30
6(5-2y) + 12y = 30
30 -12y + 12y = 30
30 = 30

3x + 4y = 8
3(5-2y) + 4y = 8
15 - 6y + 4y = 8
-2y = 8 - 15
-2y = -7
y = -7/-2
y = 3.5

An inconsistent system is a system of equation that has NO SOLUTIONS.

2x + 4y = 3 is the equation to be paired with x + 2y = 50 to create an inconsistent system.


6 0
2 years ago
Read 2 more answers
A study was conducted on the effects of long-term marriage (more than 10 years). Researchers gathered data from a random sample
True [87]

Answer:

The correct option is;

We cannot infer a cause and effect relationship because the multiple variables were included

Step-by-step explanation:

The criteria required in order to establish a cause and effect relationship includes the following;

1) There must be a temporal precedence between the cause and the effect such that the cause must take place before the effect

In the question, it is not clearly stated weather there was a divorce (the likely cause) takes place before the event

2) In the vent that the cause occurs, the effect must occur

Therefore, all those who are not married are expected to be deceased for there to be a cause and effect relationship

3) The cause and effect relationship must not be explicable by other factors

In the question, it is stated that those who were married were more likely to be active physically, maintain an healthy weight and were nonsmokers, which are factors that contribute to longevity.

8 0
2 years ago
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