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Nata [24]
3 years ago
10

The temperature of a chemical reaction oscillates in the interval 44 degrees Celsius to 50 degrees Celsius. The temperature is a

t 47 degrees Celsius at t=0 and rises at the start of a four-minute cycle. Which function represents the relationship between time, t, and temperature, T?
Mathematics
1 answer:
Sophie [7]3 years ago
5 0

Answer:

47 +3 sin(sin(\frac{2\pi }{4}t ))

Step-by-step explanation:

Here temperature of reaction oscillates about 47.

Temperature amplitude is 3.

Most popular and simple function which can describe the temperature is sinosuidal function.

We know sinosuidal function can be negative as well as positive with magnitude as it's amplitude.

We need angular frequency for this.

Time period is given =4 min

Angular frequency =\frac{2\pi }{T} =\frac{2\pi }{4}

So temperature as a function of time is

T(t) = 47 + sin(47 +sin(\frac{2\pi }{4}t ))

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How can you use number patterns to find the least common factor
Aleks04 [339]

Answer:

The correct answer is: 360.

Explanation:

First we can express 120 as follows:

2 * 2 * 2 * 3 * 5 = 120

You can get the above multiples as follows:

120/2 = 60

60/2 =30

30/2 = 15

15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)

5/5 = 1

Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)

Second we can express 360 as follows:

360/2 = 180

180/2 = 90

90/2 =45

45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)

15/3 = 5

5/5 = 1

Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)

Now in (1) and (2) consider the common terms once and multiple that with the remaining:

2*2*2*3*5 = Common between the two

3 = Remaining

Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)

5 0
3 years ago
If an angle is acute, then the measure of its complement must be greater than the measure of its
salantis [7]

Answer: acute angles are higher that 0° and smaller than 90°

Step-by-step explanation: obtuse are between 90° and 180°

5 0
3 years ago
A classroom has students sitting in 5 columns of 5,6,7,5 and 2. What are the mean, median, mode, and range of class columns.
maria [59]
Mean: 5
Median: 5
Mode: 5
Range: 5
5 0
3 years ago
Read 2 more answers
Write an equation for the line that is parallel to y = −2x and passes through the point (0,7).
lesya [120]

Answer:

B. \displaystyle y = -2x + 7

Step-by-step explanation:

The y-intercept is given to us, which is \displaystyle [0, 7],and Parallel Lines have SIMILAR <em>RATE </em><em>OF CHANGES</em><em> </em>[<em>SLOPES</em>],<em> </em>so −2 remains the way it is.

I am joyous to assist you anytime.

8 0
3 years ago
*please help and explain how you got the answer!*
stepan [7]

Answer:

0

Step-by-step explanation:

A= (4-1)^3

simplify A to be 3^3

Which gives us 27

B=(2*3)^2-9

simplify B

first multiply the 2 numbers in paranthesis which gives us 6. raise it to the power of 2 which is 39 and then subtract 9. Gives us 27.

C=15^3*4-12

Simplify the exponent first. 3*4 gives us 12 and 12-12 equals 0. Anything raised to the power of 0=1

If A-B^C is the equation we can write 27-27 raised to the power of 1 which is 0

7 0
3 years ago
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