Make a proportion.
⇒
=
Solve for x to find the weight of the elephant on planet B. Cross multiply; (100)(x) and (3)(2200).
You now have:
100x = 6600.
Divide both sides by 100.
x = 66
The elephant would weigh
66 pounds on planet B.
Answer:
2,3,5,7,11,13,17,19,23,29
Step-by-step explanation:
Domain: The set of all real numbers
We can plug in any x value we want and there aren't any restrictions. There aren't any holes, jumps, gaps, or asymptotes
-------------------------------------------------
Range: Only one value is in the range and it is the value 2. We can write this as {2}. The curly brackets indicate "set". It is possible to have a set of only 1 item inside.
The range is the set of y value outputs. In this case, the output is 2 because we have a horizontal line. No matter what the x input is, the output is always 2. This is known as a constant function. The output is constantly the same.
Answer:
Step-by-step explanation:
We have been given that an object oscillates 4 feet from its minimum height to its maximum height. The object is back at the maximum height every 3 seconds. We are asked to find the cosine function that can be used to model the height of the object.
We know that standard form of cosine function is 
, where,
|A| = Amplitude,
Period = 
,
C = Phase shift,
D = Vertical shift.
Since distance between maximum and minimum is 4, therefore, amplitude will be half of it, that is, 
.
Since objects gets back to its maximum value in every 3 seconds, therefore, period of the function is 3 seconds. We know that period is given by , therefore, we can write 
, therefore, 
.
We haven't been given any information about phase and mid-line, we can assume the values of C and D to be zero
.
Therefore, our function required function would be .
