Answer:
<u>The simplest radical form of this mathematical expression is - 3√3</u>
Step-by-step explanation:
1. Let's write in a mathematical expression the information given:
-4 the square root of 12 + the square root of 75
-4 (√12) + √75
-4 (√4 * 3) + (√25 * 3) (12 = 4 * 3 and 75 = 25 * 3)
-4 (2 √3) + 5 √3
-8 √3 + 5√3
- 3 √3
The result is- 3 square root of 3.
<u>The simplest radical form of this mathematical expression is - 3√3</u>
Answer:
Either one of these.
Step-by-step explanation:
volumepile=1/3 (PI r^2)h
but r=h/2, so
volume=1/12 PI h^3
dv/dt=10 ft^3/min
but dv/dt=1/12 PI 3h^2 dh/dt
solve for dh/dt
This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula
_______________________________________________
given: r = h/2
V = (1/3)π r^2 h
= (1/3)π (h/2)^2 (h)
= (1/12) π h^3
dV/dt = (1/4)π h^2 dh/dt
for the given data ...
10 = (1/4)π(25)dh/dt
dh/dt = 10(4)/((25π) = 1.6/π feet/min
Answer:
-0.4
Step-by-step explanation:
If using a number line, start at 0.2 and go backwards 0.6 to get to -0.4
