Before he moved Victor was a student at the school if you include victors farm in the data the median is seven how many amps does Anton have explain your reasoning

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Ответ:

alyvia05

04.03.2022

Mathematics

$H(t)= 5cos(\pi(t-0.2))-20$

Step-by-step explanation:

Let the function be a cosine function

H(t)= A cos(B(t+C)) + D

Average height = -20 cm

The object's maximum and minimum heights are each 5 cm from its average height. Therefore:

Maximum Height, $H_{max}=-20+5=-15cm$

Minimum Height , $H_{min}=-20-5=-25cm$

The amplitude, A is denoted by :

$A=\dfrac{H_{max}-H_{min}}{2} \\=\dfrac{-15-(-25)}{2}=(-15+25)\div 2 =5\\A=5$

The vertical shift, D is denoted by :

$D=\dfrac{H_{max}+H_{min}}{2} \\=\dfrac{-15+(-25)}{2}=(-15-25)\div 2 =-20\\D=-20$

The period T is given by,

T=2 seconds

$B=\dfrac{2\pi}{T}\\=\dfrac{2\pi}{2}=\pi$

The phase shift , C is given by:

C=-0.2 (since it first achieves its average height to the right at t=0.2 sec)

Therefore, our function is defined as:

$H(t)= 5cos(\pi(t-0.2))-20$

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Before he moved Victor was a student at the school if you include victors farm in the data the median is seven how many amps does Anton have explain your reasoning￼