Multiply 12 and 3 and you will get four. four is like 1 over 4: 1/4
Answer
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hey..! </h2>
She would have to use 2700g chocolate, 150g eggs, 300ml lemon juice and 750 g of sugar.. to make 21 potions
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Answer:
Tacoma's population in 2014 will be 587,439 people
Step-by-step explanation:
we know that
The equation of a exponential growth function is given by the formula
![y=a(1+r)^x](https://tex.z-dn.net/?f=y%3Da%281%2Br%29%5Ex)
where
y is Tacoma's population in thousand
x is the number of years since 2000
r is the rate of change
a is the initial value
we have
![a=200\\r=8\%=8/100=0.08](https://tex.z-dn.net/?f=a%3D200%5C%5Cr%3D8%5C%25%3D8%2F100%3D0.08)
substitute
![y=200(1+0.08)^x](https://tex.z-dn.net/?f=y%3D200%281%2B0.08%29%5Ex)
![y=200(1.08)^x](https://tex.z-dn.net/?f=y%3D200%281.08%29%5Ex)
what will Tacoma's population be in 2014?
Find the value of x
![x=2014-2000=14\ years](https://tex.z-dn.net/?f=x%3D2014-2000%3D14%5C%20years)
substitute the value of x
![y=200(1.08)^{14}=587.439\ thousand](https://tex.z-dn.net/?f=y%3D200%281.08%29%5E%7B14%7D%3D587.439%5C%20thousand)
therefore
Tacoma's population in 2014 will be 587,439 people
missing side is
mi .
<u>Step-by-step explanation:</u>
Here we have the following info from the figure: A right angled triangle with following dimensions
![Perpendicular = x](https://tex.z-dn.net/?f=Perpendicular%20%3D%20x)
![base = \sqrt{122}](https://tex.z-dn.net/?f=base%20%3D%20%5Csqrt%7B122%7D)
![Hypotenuse = 15](https://tex.z-dn.net/?f=Hypotenuse%20%3D%2015)
By Pythagoras Theorem :
![Hypotenuse^2 = Perpendicular^2 + base^2](https://tex.z-dn.net/?f=Hypotenuse%5E2%20%3D%20Perpendicular%5E2%20%2B%20base%5E2)
⇒ ![Hypotenuse^2 = Perpendicular^2 + base^2](https://tex.z-dn.net/?f=Hypotenuse%5E2%20%3D%20Perpendicular%5E2%20%2B%20base%5E2)
⇒ ![15^2 = x^2 + (\sqrt{122})^2](https://tex.z-dn.net/?f=15%5E2%20%3D%20x%5E2%20%2B%20%28%5Csqrt%7B122%7D%29%5E2)
⇒ ![225 = x^2 + 122](https://tex.z-dn.net/?f=225%20%3D%20x%5E2%20%2B%20122)
⇒ ![x^2 = 225-122](https://tex.z-dn.net/?f=x%5E2%20%3D%20225-122)
⇒ ![x^2 = 103](https://tex.z-dn.net/?f=x%5E2%20%3D%20103)
⇒ ![(x^2)^\frac{1}{2} = (103)^\frac{1}{2}](https://tex.z-dn.net/?f=%28x%5E2%29%5E%5Cfrac%7B1%7D%7B2%7D%20%3D%20%28103%29%5E%5Cfrac%7B1%7D%7B2%7D)
⇒ ![x} = (103)^\frac{1}{2}](https://tex.z-dn.net/?f=x%7D%20%3D%20%28103%29%5E%5Cfrac%7B1%7D%7B2%7D)
⇒ ![x} = 10.15](https://tex.z-dn.net/?f=x%7D%20%3D%2010.15)
Therefore, missing side is
mi .
Answer:
15
Step-by-step explanation:
Radius times 2 is the diameter!