Answer:
DV/dt = 942 cm³/sec (decreasing )
Step-by-step explanation:
Volume of the sphere V = 4/3π*r³
r ⇒ r(t)
DV/ dt = DV/dr * Dr/dt so
DV/dt = 4*π*r²*Dr/dt
and we know Dr/dt = - 3 cm/sec and r = 5 cm
Then radius decreasing V also decreases
by substitution
DV/dt = - 4*π*(5)²* (3)
DV/dt = - 942 cm³/sec
Answer:
168.7602 miles
Step-by-step explanation:
One way to solve this problem is by using an equation that describes the listening radius of the station, and another for the road, then the points where this two-equation intersect each other will represent when the driver starts and stops listening to the station, and the distance between the points is the miles that the driver will receive the signal.
The equation for the listening radius (the radio station is at (0,0)):
The equation for the road that past through the points (-120,0) and (80,100) (Collinsville and Harmony respectively):
Substitutes the value of y in the equation of the circle:
The formula to solve second-degree equations:
Using the values in x to find the values in y:
The distance between the points (51.4718,85.7359) and (-99.4718,10.2641) :
Answer and Step-by-step explanation:
We are given the expression .
First, we need to multiply 9x by 3x. This results us with .
-- This is the final expression simplified. There isn't anything else we can do this expression, as it is not factorable and can't be simplified any further.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
Answer:
2.4 or 12/5
Step-by-step explanation:
The slope formula is (y2-y1) divided by (x2-x1).
First, you label each number by their x and y.
-4 will be axis x 1
2 will be axis y 1
-9 will be axis x 2
-10 will be axis y 2.
Then substitute the variable into the formula.
(-10 subtract 2) divided by (-9-(-4)).
Next, solve. Once you solve you will get -12/-5 = 2.4
Finally, simplify the answer. if it is already simplify, that will be the answer.
Simple...
you have:
The best you can do here is simplify the root--->>
You must find a number that is a perfect square--->>
As we know 4 is a perfect root
leaving you with....
Thus, your answer.