With respect to the <em>parent</em> function y = cos x, we have these function according to the order of the graphs:
- cos x
- cos (1/2)x
- cos 4x
- cos 2x
- cos (1/4)x
<h3>How to find the functions corresponding to each graph based on the period of a function</h3>
Mathematically speaking, cosines are <em>periodic</em> functions and period (T) is the distance in the <em>horizontal</em> axis such that f(t + T) = f(t). The period of the <em>parent</em> <em>cosine</em> function is 2π. Period in <em>daughter</em> functions may vary by means of the following form:
y = cos Ax (1)
Where:
- x - Independent variable
- y - Dependent variable
- A - Period width
Please notice that <em>daughter</em> functions report periods <em>longer</em> than in the <em>parent</em> function for 0 < A < 1 and a <em>shorter</em> one for A > 1. In consequence, these functions appear in the following order:
- cos x
- cos (1/2)x
- cos 4x
- cos 2x
- cos (1/4)x
To learn more on periodic functions: brainly.com/question/26369761
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Answer:
D
) Close to 50 times but probably not exactly 50 times
Reasoning:
Right in the beginning, we know that she flips the coin 100 times. Which means A and B cannot be true. Between C and D, only D makes sense because you can't be sure if something will land exactly a number of times.
By geometry, there is a relationship between the tangent PA and the segments PB and PE, namely
PA^2=PB*PE
so
PE=PA^2/PA=6^2/4=9
BE=PB-PE=9-4=5
Answer:
Therefore the diameter of the hole is 
m.
Step-by-step explanation:
Bernoulli's equation,
P₁ = P₂= atmospheric presser
= density
[since P₁ = P₂]
[
]
Here 
Here g= 9.8 m/s² , h = 10.4 m
The velocity of water that leaves from the hole 
= 
m/s
=14.28 m/s.
Given, the rate of flow from the leak is 
Let the diameter of the hole be d.
Then the cross section area of the hole is 
We know that,
The rate of flow = Cross section area × speed
Therefore the diameter of the hole is m.
There is 110 slices of bread total in 5 loaves.
170/8=22
22*5=110
