The diameter of the sphere is 60 mm which means its radius is 30mm. <span>The radius of a sphere is increasing at a rate of 5 mm/s.
The formula for the radius when the time is x second would be:
</span>r(t)<span>= 30+ 5x
dr/dt= 5
The speed of </span><span>volume increase </span><span>of the sphere volume would be derived from sphere volume:
</span>V(r)=4/3* pi * r^3<span>
dV/dt= 4/3 * pi * 3r^2 * (dr/dt) =4/3* pi * 3(30)^2 * 5 = 18000 pi= 56571 mm^3/s</span>
Answer:
$25
Step-by-step explanation:
500 mins = $35 (fixed + per minute charge)
1500 mins = $55 (fixed + per minute charge)
If we let per minute charge be "m"
and
let fixed charge be "f"
we can write 2 equations as:
35 = 500m + f
and
55 = 1500m + f
Now,
We re-write both equations in terms of f and equate both expressions:
f = 35 - 500m
and
f = 55 - 1500m
Equating:
35 - 500m = 55 - 1500m
-500m + 1500m = 55 - 35
1000m = 20
m = 20/1000
m = 0.02
Now we find f, what we are looking for:
f = 35 - 500m
f = 35 - 500(0.02)
f = 25
So, the fixed charge is $25
#1
(56,7) is the co-ordinate of point B.
#2
(56,7)
It means that the ball has travelled 56yards .it is at the height of 7ft.
Answer:
y = 7x - 4
Step-by-step explanation:
point: (0, -4)
slope: 7
use point-slope form
y-(-4) = 7(x-0)
y+4 = 7x
y = 7x - 4
Answer:
z = -2.13
The standardized score for the state of Colorado is negative and this means the score is smaller than the mean.
Step-by-step explanation:
The above question can be solved using z score.
The formula for z score is given as:
z = (x-μ)/σ,
where
x is the raw score = 9.7%
μ is the population mean = 13.26%
σ is the population standard deviation = 1.67%
z = z score or standardize score
Hence,
z = 9.7 - 13.26/1.67
z = -2.13174
Approximately z = -2.13
Therefore, the standardized z score for the state of Colorado is negative and this indicates that the score is below or smaller than the mean.
