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CaHeK987 [17]
3 years ago
15

A modern art piece includes drops of paint spilling periodically into a basin of liquid. The display is timed with an expectatio

n that the circular area of the green spill increases 1.5 square centimeter per hour. Increase in area: A(h) = 1.5h; h in hours Increase in diameter: in square centimeters The artist would like to know the area of the spill after any number of hours, h. Which composite function represents the diameter of the green paint as a function of hours?
Mathematics
1 answer:
mojhsa [17]3 years ago
4 0

Answer and explanation:

Function to represent the modern art piece given that diameter of the circular spill increases by 1.5 square centimeter per hour will be :

D = 1.5h

Where D= diameter of the circular spill after h hours paint spill

h = number of hours of paint spill, where each hour produces 1.5 square centimeters of circular paint spill

If for instance, number of hours of paint spill for the piece = 2 hours

Then diameter of spill = 1.5×2 = 3 square centimeters using the equation above

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Answer:

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2 years ago
A case in riverhead, new york, nine different crime victims listened to voice recordings of five different men. all nine victims
Alexus [3.1K]

the complete question in the attached figure

1) Find the probability that all nine victims would select the same person. You should enter your answer as a decimal, not as a percent. Do not round, as your answer should be a terminating decimal.

P=(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)=0.000000512

2) what is the probability that the first victim picks SOMEONE? ANYONE? 

P=(1/5)=0.20  ---------------- > 20%

3) Now let’s look at victim #2. What is the probability that they pick the same person as victim #1?

P=(1/5)*(1/5)=0.04 --------------> 4%

4) Now let’s look at victim #3. What is the probability that they pick the same person as victim #1?

P=(1/5)*(1/5)*(1/5)=0.008 --------------> 0.8%

5) Now let's look at victim #9. What is the probability that they pick the same person as victim #1? 

P=(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)*(1/5)=0.000000512

6) Once you find all those probabilities, what rule would apply?

the probability is given by (1/5)^n

n=number of victims that pick the same person---------> in this problem = 9

P=(1/5)^9= 0.000000512

5 0
3 years ago
A TV that usually sells for $192.15 is on sale for 20% off. If sales tax on the TV is 6%, what is the price of the TV, including
faust18 [17]

Answer:

$162.94

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Because 20% off of 192.15 = $162.94 and

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2 years ago
Prove the divisibility of the following numbers:
Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}

(B)

72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}

In this case, it is easier to also factor the divisor to primes:

72^{63}=2^{189}\cdot 3^{126}

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}

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You have 3434 of a pie leftover after your party. Each guest takes home 1616 of the leftover pie.
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You would have 1818 of pie left over...... I do not know the fraction of it
7 0
3 years ago
Read 2 more answers
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