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amid [387]
3 years ago
15

Can a greatest integer function be part of a piecewise defined function?

Mathematics
1 answer:
Papessa [141]3 years ago
3 0
I think yes but don't believe me
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List the next four multiples of fraction 7/12
Sidana [21]
<h2>Hello!</h2>

The answer is:

\frac{14}{12}=\frac{7}{12}*2\\\\\\\frac{21}{12}=\frac{7}{12}*3\\\\\\\\\frac{28}{12}=\frac{7}{12}*4\\\\\\\\\frac{35}{12}=\frac{7}{12}*5

<h2>Why?</h2>

A multiple of a number is the repeated sum of itself, for example:

Multiple of the number 1 are: 1, 2, 3, 4, 5 and so...

Multiple of the number 3 are: 3, 6, 9, 12, 15 and so...

From the example we have:

Multiple of the number 3 are: Itself, (3+3), (3+3+3), (3+3+3+3), (3+3+3+3+3) and so...

So,

Multiple of \frac{7}{12} are:

\frac{14}{12}=\frac{7}{12}*2=\frac{7}{12}+\frac{7}{12}\\\\\\\frac{21}{12}=\frac{7}{12}*3=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\\\\\\\\\frac{28}{12}=\frac{7}{12}*4=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}\\\\\\\\\frac{35}{12}=\frac{7}{12}*5=\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}+\frac{7}{12}

Have a nice day!

6 0
4 years ago
Elena went on a 6-mile walk. She completed the first half of the walk 1 mi/h faster than usual and the second half of the walk 2
xxTIMURxx [149]

Answer:

Her usual rate is 0.8333 miles per hour.

Step-by-step explanation:

The velocity formula is given by:

v = \frac{d}{t}

In which d is the distance and t is the time.

She completed the first half of the walk 1 mi/h faster than usual

Her usual rate is v. 1mph faster is v + 1.

The second half of the walk 2 mi/h slower than the first half.

The first half is v + 1.

2mph slower is v + 1 - 2 = v - 1. Then

Total rate:

7.2 hours, and 6 miles. So

One half is v+1 and the other is v - 1. This is why each is multiplied by 0.5.

0.5(v + 1) + 0.5(v - 1) = \frac{6}{7.2}

0.5v + 0.5 + 0.5v - 0.5 = 0.8333

v = 0.8333

Her usual rate is 0.8333 miles per hour.

8 0
3 years ago
Mr. Bryon bought a gas can with 4 1/4 gallons of gasoline in it. He used 1/4 of the amount in the can to mow his lawn. How many
alisha [4.7K]
Do 4 1/4 - 1/4 which is easy, just take away the 1/4 and you get 4, so he used 1/4 gallons
6 0
3 years ago
Read 2 more answers
A radio talk show host asked listeners to respond either yes or no to the question, "Is the candidate who spends the most on a c
IgorLugansk [536]

Answer:

  • Implied population is all listeners of the radio talk show
  • the variable is opinion of a listener
  • Yes, bias is voluntary response. Those with the strongest opinions are most likely to call in.

Step-by-step explanation:

Radio talk show host asked listeners to respond therefore the population is all listeners of the radio talk show.

The variable is the response "yes" or  "no"

There is voluntary response bias, because the respondents are volunteered to answer, therefore sample is consisted of self-selected listeners.

3 0
4 years ago
Three friends are dividing the cost of a kite equally the Kite
Tomtit [17]
Each person will pay $5.25.
7 0
4 years ago
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