Answer:
The amplitude is 
Step-by-step explanation:
Let f(x) be a sinusoid function that has the following format:

Then b is the amplitude of the function
h is the vertical displacement of the wave
s is the phase angle
is the period.
In this problem 
Then 
Therefore the amplitude of the function is 
The amplitude is a measure of the vertical size of the sinx wave
Answer:
-189
Step-by-step explanation:
Remember to follow the rules of signs:
- If there are two positive signs next to each other, you add:
- If there is one negative sign and one positive sign next to each other, you subtract.
- If there is two negative signs next to each other, you add:
- 412 - (-223) = -412 + 223
Subtract:
223 - 412 = -189
-189 is your answer.
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Set up a ratio:
240/180 = X/36
Cross multiply:
240 * 36 = 180x
8640 = 180x
Divide both sides by 180:
X = 8640 / 180 = 48
The person would weigh 48 pounds.
Answer:
Science is a set of tools people used to build robust predictions. The tools are called The Scientific Method. (Some people prefer to say that Science creates explanations. That's fine. They are explanations in the form of predictions.)
The first step is to come up with a falsifiable hypothesis. That's a claim which can, in theory, be proven wrong. The next step is to try to prove it wrong via careful observation and experimentation.
If you manage to falsify the hypothesis or are unable to falsify it, you will be able to use it to make predictions.
I would define mathematics as the study of structure divorced from context.
In mathematics, we study various structures: numbers, groups, geometric objects, etc. We study their patterns and figure out how they work and interconnect. I would make the argument that anything existing in the universe and anything that can be cooked up by the human mind that has some sort of structure to it can be studied mathematically.
Of course, what one might argue is that disciplines like physics, chemistry, and biology do the same thing: they search for the physical patterns and structures that exist out in the world.
Step-by-step explanation:
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