Answer:6-8^10=?
Step-by-step explanation:
Second option: This is a perfect cube.
Fourth option: The side length is 6 centimeters.
Fifth option: Taking the cube root of the volume will determine the side length.
Step-by-step explanation:
You know that the volume of a cube can be calculated with:
Where s is the lenght of any side of the cube.
Since you know the volume of this cube, you can calculate the side lenght by solving for "s". You can make this taking the cube root of the volume.
Therefore, you get that the side lenght of this cube is:
(Since it has exact cube root, it is a perfect cube)
Answer:
Time,t that it will elapse before the concerntration of the dye in the tank reaches1% of its original value is 460.52 seconds
Step-by-step explanation:
Let Q(t) = amount of dye for all time,t.
Let Q'= rate in - rate out.
But Q/200 = concerntration of dye
Therefore rate out= Q/200 ×2.
Q'/Q = - 1/100
Dividing by Q gives
Ln/Q/ + c = -1/100t + c1
Integrating both sides with respect to t
Ln/Q/ = -1/100t + c2.
c1 and c1 are just another constants
Q= c3e^-t/100
Exponentiating both sides will cause the absolute values to get absorbed into the constants giving rise to a new constant c3
200= c3-0/100
c3= 200
2= 200e^-t/100
Ln1/100= - t/100
Ln0.01 = - t/ 100
Cross multiply
t= Ln0.01 × 100
t = 4.6052 ×100
t = 460.52seconds
Answer:
The y intercept is 5 and the slope is -2.5
Step-by-step explanation:
They intercept is where the line intercepts with the y axis, which In this case is 5.
The slope is found by dividing the rise over run
the rise is -5 and the run is 2
-5 divided by 2 is -2.5
-2.5 is your slope
Answer:
this is easy. all you have to do is subtract 102 from 86 (which makes -16) and then divide by -8 (making m equal to 2).
Step-by-step explanation:
102 - 8m = 86
86 - 102 = -16
-16/-8 = 2
