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netineya [11]
3 years ago
12

5.3.4

Mathematics
1 answer:
Airida [17]3 years ago
5 0

Answer: Yes, the equations are correct.

x represents the time that one individual act takes.

y represents the time that one group act takes.

Step-by-step explanation:

the first statement says:

"The first show will last 2 hours, and 12 individual acts, and 6 group acts"

He writes this as:

12*x + 6*y = 120.

then x represents the time that individual acts take.

6 represents the time that group acts take.

120 represents the time in minutes (120 min = 2 hours).

The second statement says:

"The final show will last 30 minutes, and it will include the top 4 individual groups, and the top group act."

this is written as:

4*x + 1*y = 30

And it is consistent with the thing we saw above.

At the right, we have time in minutes, 30 minutes.

x represents the time that each individual act needs, and in this case, we have 4 individual acts.

and y represents the time that the group acts need, and we have only one group act in this case.

Then yes, you must agree with your classmate.

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Alina [70]

Answer:

I believe the answer is: These scores are more likely to have an effect because of the large sample size

In asking about satisfaction, the data could only come from the life experiences or personal principle of the individuals in the samples. Because of this, the scores would have relatively same effect regardless of the amount of sample size that the researchers use.

6 0
3 years ago
On a coordinate plane, 2 lines are shown. Line P Q has points (negative 8, 2) and (4, 2). Line M N has points (8, 6) and (8, neg
DaniilM [7]

Answer:

Slope of PQ = 0

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PQ and MN are perpendicular to each other

Step-by-step explanation:

for any two points  (x1, y1),  (x2, y2)given in coordinate plane slope is given by

y1 - y2/x1-x2\\\\For \ line \ PQ\\slope = 2 - 2/-8-4 = 0\\\\For \ line \ MN \\slope = 6 - (-8)/8-8 = 1/0 = infinity\\\\

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Also we know X and Y are perpendicular to each other.

Since slope of PQ is zero it is parallel  to X axis and perpendicular to Y axis

Since slope of MN is infinity it is parallel  to Y axis and perpendicular to X axis.

Thus two lines PQ and MN are perpendicular to each other.

4 0
3 years ago
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andre [41]

Answer:

64

Step-by-step explanation:

the expression is

x² - 16x + _

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the number number x = 16

therefore the constant term is (16/ 2)²

= 8²

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the formula being used here is

(x + a)² = x² + 2ax + a²

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Answer:

4/8

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3 years ago
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