Answer:
Prime factors of 14(<u><em>2</em></u>,7)
Prime factors of 42(2,3,<em><u>7</u></em>)
List all the prime factors that appear in either number, then multiply
2*7=14 LCM
Step-by-step explanation:
Listing out a few elements of the set of perfect squares, we get the following values
{1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...}
we can stop there because 82 is between 81 and 100
So if x^2 = 82, then x^2 is between 81 and 100 meaning
81 < x^2 < 100
apply the square root to all sides of the compound inequality and we get
9 < x < 10
So the square root of 81 is between 9 and 10
Answer: the value falls between 9 and 10
period = 2, Amplitude = 2
AMPLITUDE
---------------------------------
f(t) = sin(t) , this function has an amplitude of 1 , because its y values goes one unit up, and one unit down from the x axis. to increase this to an amplitude of 2, we get f(t) = 2. sin(t). This means the graph is twice as tall as our original function f(t) = 1.sin(t).
PERIOD
----------------------------
the period has a formula: w = 2pi / |B | . The normal period for a sinewave
f(t) = sin(t) = 2 pi.
So in our new function f(t) = 2 sin (t) [ amplitude is now multiplied by 2], the period (as stated in the question) is 2, that is 2 pi (remember the formula for period stated 2pi) divided by b, which is now 2. Which means 2pi is now divided by 2 or multiplied by 1/2. 2pi /2 = pi or 1/2 x 2pi = pi. so as you increase the period in the equation, the sinewave becomes shorter.
ANSWER
------------------------------
So the function is actually f(t) = 2.sin(2t).
Answer:
Two expressions for the perimeter would be
22x+23 and 2x+3x+17x+7+16
Step-by-step explanation:
you want to add the variables of the same kind in this case
2x
3x 7
17x 16
_________
22x + 23
Answer:0.46
Step-by-step explanation:
