Answer:
338 different options we will have to choose from.
Step-by-step explanation:
Number of base drinks = 13
Numbers of flavors = 26
If we can select 1 base and 1 flavor.
For every base drink we have 26 flavors.
Then for each 13 base drinks we will have 26 flavors.
So, number of options if we have If we select 1 base and 1 flavor:

338 different options we will have to choose from.
Answer:

Step-by-step explanation:
First of all, let's draw the two curves. First one (red) is a classic parabola, second (blue) is a similar curve with a tigher form. Imagine is made with paint so it's not high quality. The intersection between the two curves are easily found by solving a system of equations and are (0;0) and (1;1). At this point, the volume comes from the rotation of the shaded area, and can be obtained as difference from the rotation of the blue curve minus the red curve.
Remembering that the volume of the solid of revolution bound between
is given by
, in our case the volume is given by the expression
![\pi [\int_0^1 (\sqrt[4]{x})^2-(x^2)^2 dx] = \pi[\int_0^1 \sqrt{x}-x^4 dx] = \pi[\frac23x^\frac32 -\frac15 x^5 ] _0^1 = \pi (\frac23 -\frac15) = \frac7{15}\pi](https://tex.z-dn.net/?f=%5Cpi%20%5B%5Cint_0%5E1%20%28%5Csqrt%5B4%5D%7Bx%7D%29%5E2-%28x%5E2%29%5E2%20dx%5D%20%3D%20%5Cpi%5B%5Cint_0%5E1%20%5Csqrt%7Bx%7D-x%5E4%20dx%5D%20%20%3D%20%5Cpi%5B%5Cfrac23x%5E%5Cfrac32%20-%5Cfrac15%20x%5E5%20%5D%20_0%5E1%20%3D%20%5Cpi%20%28%5Cfrac23%20-%5Cfrac15%29%20%3D%20%5Cfrac7%7B15%7D%5Cpi)
Answer: 0.4 meters per hour.
Step-by-step explanation:
The rate of change of distance with respect to time is known as speed.
Formula :
Given : It's raining outside, and after 1 hour of rain, the water level in Jake's pond is 2 meters. After 3 hours, the water level is 2.8 meters.
i.e. Change in position= 2.8-2=0.8 meters
Change in time = 3-1=2 hours
i.e. 
Hence, the rate of change =0.4 meters per hour.
84,000/15 = 5600
2 x 5600 = 11,200
The first person will get $11,200