35 POINT QUESTION PLZ ANSWER A-D

Mathematics

1 answer:

Karolina [17]3 years ago

5 0

A. The relation is a function if one x-value goes out to one <em />y-value. We can check the graph for that. Does any x-value come out to more than one y-value? No, so, therefore, yes, the relation is a function.

B. The domain is all the x-values shown in the relation. Therefore, it is Domain:{-4, -3, -2, 0, 2, 3}

C. Like the domain question, it is the y-values shown. Therefore, the range is Range: {2, 0, -1, 2, -3, 3}

D. The value of y is at x=2 is the y-value of the point that it shows in the relation when x = 2. We find the point where x=2 (the fifth one from the left), and the y-value there is -3

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The temperature of a cup of coffee varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T min

denis23 [38]

Answer:

(b) 67

Step-by-step explanation:

A solution to the differential equation describing the temperature according to Newton's Law of Cooling could be written as ...

T = (final temp) + (initial difference)×(decay factor)^t

where the decay factor is the fraction of change during 1 unit of time period t.

Here, the initial difference of 100-25 = 75 degrees decays to 90-25 = 65 degrees in 1 minute. So, the units of t are minutes, the decay factor is 65/75, the initial difference is 75 degrees, and the final temperature is 25 degrees. That lets us write the equation as ...

T = 25 +75(65/75)^t

Then for t=4, the temperature is ...

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After 4 minutes the temperature of the coffee is about 67 degrees.

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2 years ago

The equation sin(40o) = can be used to determine the length of line segment AC. What is the length of ? Round to the nearest ten

I am Lyosha [343]

The answer:
For more explanation please look at the image.
according to the image, the length of line segment AC can be found as
the following method shows:

<span>sin(40°)= opposite side / hypotenuse, opposite side = b, hypotenuse = AB= 20cm
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