Use the Pythagorean Theorem to find the exact value of x for the right triangle below. The picture below is not drawn to scale
2 answers:
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The edible fruit=fruit-seed
alright
vsphere=4/3pir^3
so if the volume is 100
of the seed
find r
times both sides by 3/4
divide both sides by pi
cube root both sides
![\sqrt[3]{\frac{75}{\pi}}= r](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B75%7D%7B%5Cpi%7D%7D%3D%20r)
this is the seed radius
3 times of taht is the radius of the fruit
![3\sqrt[3]{\frac{75}{\pi}}](https://tex.z-dn.net/?f=3%5Csqrt%5B3%5D%7B%5Cfrac%7B75%7D%7B%5Cpi%7D%7D)
=radiusfruit
input into equation
use radius fruit for r
![V=\frac{4}{3}\pi (3\sqrt[3]{\frac{75}{\pi}})^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%283%5Csqrt%5B3%5D%7B%5Cfrac%7B75%7D%7B%5Cpi%7D%7D%29%5E3)
so the edible part is 2700-100=2600 cm³
alright
vsphere=4/3pir^3
so if the volume is 100
of the seed
find r
times both sides by 3/4
divide both sides by pi
cube root both sides
this is the seed radius
3 times of taht is the radius of the fruit
input into equation
use radius fruit for r
so the edible part is 2700-100=2600 cm³
The function that represents the number of E.coli bacteria cells per 100 mL of water as t years elapses, and is missing in the question, is:
Answer:
Option A. 59%
Explanation:
The base, 1.123, represents the multiplicative constant rate of change of the function, so you just must substitute 1 for t in the power part of the function::
Then, the multiplicative rate of change is 1.590, which means that every year the number of E.coli bacteria cells per 100 mL of water increases by a factor of 1.590, and that is 1.59 - 1 = 0.590 or 59% increase.
You can calculate it also using two consecutive values for t. For instance, use t =1 and t = 1