The function f(t) = 20 sin (pi over 5t) + 12 models the temperature of a periodic chemical reaction where t represents time in h
ours. What are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take?
Maximum: 20°; minimum: 8°; period: 12 hours
Maximum: 32°; minimum: −8°; period: 10 hours
Maximum: 20°; minimum: 12°; period: pi over 5 hours
Maximum: 32°; minimum: 8°; period: pi over 5 hours
Maximum: 20°; minimum: 8°; period: 12 hours
Maximum: 32°; minimum: −8°; period: 10 hours
Maximum: 20°; minimum: 12°; period: pi over 5 hours
Maximum: 32°; minimum: 8°; period: pi over 5 hours
1 answer:
The answer for the exercise shown above is the second option, which is: <span>Maximum: 32°; minimum: −8°; period: 10 hours.
The explanation is shown below:
</span> You can make a graph of the function given in the problem above: f(t)=20Sin(π/5t)+12.
As you can see in the graph, the maximum point is at 32 over the y-axis, and the minimum is at -8.
The lenght of the repeating pattern of the function (Its period) is 10.
The explanation is shown below:
</span> You can make a graph of the function given in the problem above: f(t)=20Sin(π/5t)+12.
As you can see in the graph, the maximum point is at 32 over the y-axis, and the minimum is at -8.
The lenght of the repeating pattern of the function (Its period) is 10.
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A given<u> shape</u> that is <em>bounded</em> by three <u>sides</u> and has got three <em>internal angles</em> is referred to as a <u>triangle</u>. Thus the <em>value</em> of <u>PB</u> is 8.0 units.
A given <em>shape</em> that is <u>bounded</u> by three<em> sides</em> and has got three <em>internal angles</em> is referred to as a <u>triangl</u>e. Types of <u>triangles</u> include right angle triangle, isosceles triangle, equilateral triangle, acute angle triangle, etc. The sum of the<em> internal angles</em> of any <u>triangle</u> is .
In the given question, point<u> P</u> is <u>center</u> of the given <u>triangle</u> such that <APB = <APC = <BPC = . Such that <u>line</u> PB <em>bisects</em> <ABC into two <u>equal</u> measures of
.
Thus;
<ABP =
Thus,
<ABP + <APB + <BAP =
30 + 120 + <BAP =
<BAP = - 150
<BAP =
Apply the <em>Sine rule</em> to determine the value of PB, such that;
=
=
BP =
= 8
BP = 8.0
Therefore, the value of <u>PB</u> = 8 units.
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Answer:
First choice:
Explanation:
<em>The probability that the first is a man's card and the second, a woman's card</em> is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.
In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.
<u>1. Probability that the first is a man's card</u>
- Number of cards in the hat = 20 (the 20 business card)
- Number of man's card in the hat: 10
- Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.
<u />
<u>2. Probability that the second is a woman's card</u>
- Number of cards in the hat = 19 (there is one less card in the hat)
- Number of wonan's card in the hat: 10
- Probability = favorable oucomes / possible outcomes = 10/19.
<u>3. Probability that the first is a man's card and the second, a woman's card</u>
<u />
- (1/2) × (10/19) = 5/19
That is the first choice.