The volume formula of a sphere is 4/3 Pi R^3
To figure this out, we must cube the radius (multiply 3 times).
2 x 2 x 2 = 8 (4 x 2).
Now we must multiply 8 by 3.14
8 x 3.14 = 25.12
Since we have gotten those out of the way, we now have to multiply 25.12 by 4/3.
4/3 x 25.12 = 33.51
33.5 in ^3 is your answer since we used volume.
Hope this helps!
Don't make the mistake of saying that the new function is up above the given function. f(x) + 3 is not above f(x) = x. f(x) + 3 is below f(x).
The answer is B <<<<<=====
y + 3 = x is the way you can think of it.
y = x - 3 is what it is. If you have a graphing calculator, graph it. You want to see that it is below f(x) = x or going down.
Answer:
Step-by-step explanation:
- speed = distance / time
- time = distance / speed
a)
i)
<u>Time taken at the first part:</u>
ii)
<u>Time taken at the second part:</u>
- (190 - 105) / (x + 12) =
- 85/(x + 12)
b)
<u>If time is 3 hours and 15 minutes = 3 1/4 hours = 13/4 hours, the equation is:</u>
- 105/x + 85/(x + 12) = 13/4
- 4(x + 12)*105 + 4(85x) = 13x(x + 12)
- 13x² - 604x - 5040 = 0
c)
<u>Solve the equation:</u>
- 13x² - 604x - 5040 = 0
- x = [604 ± √((-604)² + 4*13*5040) ]/26 =
- [604 ± √626896]/26 =
- [604 ± 791.77]/26
- x = (604 + 791.77)/26 = 53.68 km/h (taking positive root only)
d)
- 105/x = 105/53.68 h = 1.956 h = 1 h 0.956*60 min = 1 h 57 min (rounded)
- 85/(53.68 + 12) = 85/65.68 = 1.294 h = 1 h 0.294*60 min = 1 h 18 min (rounded)
The slope intercept form is 1/2
