Answer: Peak Point offers the better deal.
Step-by-step explanation:
To find which has the best price, we need to know the cost for one day at each mountain. To do this, we would divide the cost of each pack by the number of days it pays for, so
$275.60/5 days
and $174.75/3 days.
Peak Point costs $55.12 per day while Grand mountain costs $58.25 for each day. This shows that Peak Point clearly has the better deal, costing $3.13 less for every day included in the pack.
Answer:
= - 12 + 316 i
Step-by-step explanation:
Given that -
z = 3 + i
<em>
=
</em>
<em>
= 9 +
+ 6 i</em>
<em>
= 9 - 1 + 6 i</em>
= 8 + 6 i
<em>
=
× z</em>
<em>
= ( 8 + 6 i ) × ( 3 + i )</em>
<em>
= 24 + 8 i + 18 i + 6 i²</em>
<em>
= 24 + 26 i - 6</em>
= 18 + 26 i
=
× ![z^{3}](https://tex.z-dn.net/?f=z%5E%7B3%7D)
<em>
= ( 8 + 6 i ) × ( 18 + 26 i )</em>
<em>
= 144 + 208 i + 108 i + 156 i²</em>
<em>
= 144 + 316 i -156</em>
= - 12 + 316 i
The answer is 500 seconds it’s 5.33 minutes.
Identity to verify:
![\dfrac{\cot x}{1+\csc x}=\dfrac{\csc x-1}{\cot x}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ccot%20x%7D%7B1%2B%5Ccsc%20x%7D%3D%5Cdfrac%7B%5Ccsc%20x-1%7D%7B%5Ccot%20x%7D)
Recall that
![\cos^2x+\sin^2x=1](https://tex.z-dn.net/?f=%5Ccos%5E2x%2B%5Csin%5E2x%3D1)
Divide both sides by
and we get
![\cot^2x+1=\csc^2x](https://tex.z-dn.net/?f=%5Ccot%5E2x%2B1%3D%5Ccsc%5E2x)
or
![\cot^2x=\csc^2x-1=(\csc x-1)(\csc x+1)](https://tex.z-dn.net/?f=%5Ccot%5E2x%3D%5Ccsc%5E2x-1%3D%28%5Ccsc%20x-1%29%28%5Ccsc%20x%2B1%29)
So if we multiply the numerator and denominator of
![\dfrac{\cot x}{1+\csc x}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ccot%20x%7D%7B1%2B%5Ccsc%20x%7D)
by
, we get
![\dfrac{\cot x(\csc x-1)}{(1+\csc x)(\csc x-1)}=\dfrac{\cot x(\csc x-1)}{\csc^2x-1}=\dfrac{\cot x(\csc x-1)}{\cot^2x}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ccot%20x%28%5Ccsc%20x-1%29%7D%7B%281%2B%5Ccsc%20x%29%28%5Ccsc%20x-1%29%7D%3D%5Cdfrac%7B%5Ccot%20x%28%5Ccsc%20x-1%29%7D%7B%5Ccsc%5E2x-1%7D%3D%5Cdfrac%7B%5Ccot%20x%28%5Ccsc%20x-1%29%7D%7B%5Ccot%5E2x%7D)
Then as long as
, we can cancel terms to end up with
![\dfrac{\csc x-1}{\cot x}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ccsc%20x-1%7D%7B%5Ccot%20x%7D)
and establish the identity.
Answer:
3678900 is the answer of the organs for food
Step-by-step explanation:
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