- 4(1/2)x - (3/7) = (1/4)
- 4(1/2)x = (1/4) + (3/7)
- (9/2)x = (7+12)/28
-(9/2)x = 19/28
x = (19/28) * 2 / 9
x = (19/14) / 9
x = 19 / (14*9)
x = 19 / 126
(7-9)^2+(0-7)^2
4+49
53^(1/2)
Answer:
ft³
Step-by-step explanation:
First, let's figure out how to get the <em>volume </em>of a sphere from its <em>surface area</em>. If r is the radius of our sphere, then
The formula for a sphere's surface area is
The formula for a sphere's volume is ![V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
So to get from area to volume, we have to <em>divide the area by 3 </em>and then <em>multiply it by r.</em> Mathematically:
![V=\frac{A}{3}r](https://tex.z-dn.net/?f=V%3D%5Cfrac%7BA%7D%7B3%7Dr)
Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area -
ft² - so we can use the area formula to find that radius:
![A=4\pi r^2=400\pi\\r^2=100\\r=10](https://tex.z-dn.net/?f=A%3D4%5Cpi%20r%5E2%3D400%5Cpi%5C%5Cr%5E2%3D100%5C%5Cr%3D10)
And now that we have our radius, we can put it into our volume formula to find
ft³
Half one is 1/2;
half three is 3/2;
Thus, if f(x) represents annual growth, f(x)/2 shows it every half-year, like this:
![\dfrac{f(x)}{2} = \dfrac{15\cdot 2^x}{2} \\ \\ \dfrac{f(x)}{2} = \dfrac{15}{2}\cdot 2^x](https://tex.z-dn.net/?f=%5Cdfrac%7Bf%28x%29%7D%7B2%7D%20%3D%20%5Cdfrac%7B15%5Ccdot%202%5Ex%7D%7B2%7D%20%5C%5C%20%20%5C%5C%20%0A%5Cdfrac%7Bf%28x%29%7D%7B2%7D%20%3D%20%5Cdfrac%7B15%7D%7B2%7D%5Ccdot%202%5Ex)
Written in plain text: f(x)=15/2*2^x