Answer:
7/16π
Step-by-step explanation:
The surface area of the snow ball = 4πr^2
Let the surface area= y
Then y= 4πr^2
The derivative can be taken with respect to time as
dy/dt= (8πr)dr/dt...........eqn(1)
We were told that its surface area decreases at a rate of 7 cm2/min.
Then dy/dt=-7
diameter = 8 cm. cm/min, the radius r= 4cm/min
r= 4
Substitute the values of r into eqn(1)
dy/dt=(8π×4)dr/dt
-7=(32π) dr/dr
dr/dt= -7/32π................eqn(**)
But we know that diameter d= 2× radius
d=2r............eqn(*)
We can find the derivatives with respect to t as
dd/dt=2dr/dt
Then substitute en(**) we have
dd/dt=2(7/32π)
dd/dt= -14/32π
Divide both numerator and denominator by 2
dd/dt= -7/16π
Hence, the diameter decreases by the rate of 7/16π
Answer with explanation:
⇒Value of Confidence Interval is from 0% to 100% as probability value lies from 0 to 1 for a given set of data values.
Value of Confidence Interval does not depend upon the Sample Size.It is always from 0% to 100% , whatever the width of sample size is.
Option C: → As the sample size increases, the width stays the same.
Answer:
Ralph had 600 tomato plants in the beginning.
Step-by-step explanation:
Consider the provided information.
let x is the number of units.
The number of tomato plants in Inessa's garden is 5x
The number of tomato plants in Ralph's garden is 6x
It is given that half of Inessa's tomato plants are taken from her garden and replanted into Ralph's garden.
Therefore,
1/2 × (5x)
After replanted Ralph’s garden had 850 tomato plants.
Therefore,
(1/2)(5x) + 6x = 850
5x + 12x = 1700
17x = 1700
x = 100
The number of tomato plants in Ralph's garden is 6x.
Substitute the value of x in 6x.
6(100)=600
Hence, Ralph had 600 tomato plants in the beginning.
Given:
$1,750
Rate = $1 = CLP 496.50
Spent : 217,513 pesos
Rate = CLP 1 = VEF 0.1283
Spent : 38,422.19 bolivars
Rate = VEF 1 = PGY1063.95
Spent : 12,857,441.39 guarani
Rate = PYG 1 = $0.00002186
$1750 * CLP 496.50 = CLP 868,875
CLP 868,875 - 217,513 = CLP 651,362
CLP 651,362 * VEF 0.1283 = VEF 83,569.7446
VEF 83,569.7446 - 38,422.19 = VEF 45,147.5546
VEF 45,147.5546 * PYG 1063.95 = PYG 48,034,740.70
PYG 48,034,740.70 - 12,857,441.39 = PYG 35,177,299.30
PYG 35,177,299.30 * $0.00002186 = $768.976763 ⇒ $768.98
Answer:ONE solution.
Step-by-step explanation: