Answer:
4Hz
Step-by-step explanation:
Standard form of a sine or cosine function,
y = acos(b(x+c))
where a is the amplitude, b is the value to find the period. and c is the phase shift.
Period = \frac{2\pi}{b}
From the equation given in the question,

We can see:
Amplitude = 3,
Period = \frac{2\pi}{8\pi} = 1 / 4
Phase Shift = 1 / 16
Now we want to find the frequency.
Frequency = 1 / Period
= 1 / (1/4)
= 4Hz
<u>Candies</u>
4 red
2 yellow
5 green
1 purple
- Taina doesn't like red candies.
4/4+2+5+1 = 4/12
4/12 is the probability Taina <em>will</em> get a red candy, but we're looking for the opposite.
12/12 - 4/12 = 8/12 = 2/3
The probability Taina will not select a red candy is 2/3.
Answer:
×
= 
Step-by-step explanation:
× 
To solve the above, we need to follow the steps below;
4k+2 can be factorize, so that;
4k +2 = 2 (2k + 1)
k² - 4 can also be be expanded, so that;
k² - 4 = (k-2)(k+2)
Lets replace 4k +2 by 2 (2k + 1)
and
k² - 4 by (k-2)(k+2) in the expression given
× 
× 
(2k+1) at the numerator will cancel-out (2k+1) at the denominator, also (k-2) at the numerator will cancel-out (k-2) at the denominator,
So our expression becomes;

Therefore,
×
= 
5 beads are used for every 3 inches, that makes 5/3 beads per inch.
Thus that can be modeled by the graph y=x*5/3 where x is the number of inches and y is the number of beads.
Answer:
46 of the sixth graders have green eyes.
Step-by-step explanation:
This question is asking what number of the 230 sixth graders have green eyes.
We know that one out of every five of them, or 20%, have green eyes.
1/5 = 0.2
If we multiply 0.2 by the total number of sixth graders, that leaves us with 46, meaning that 46/230 sixth graders have green eyes.
I hope this helps!