Answer:
DA/dt = 75.27 cm²
Step-by-step explanation:
Cube Volume = V(c) = 683 cm³
DV(c) /dt = 824 cm³
V(c,x) = x³
Then
DV(c,x)/ dt = 3x² Dx/dt
( DV(c,x)/ dt )/ 3x² = Dx/dt (1)
Now as V(c,x) = x³ when V(c,x) = 683 cm³ x = ∛683
x = 8.806 ( from excel)
And by subtitution of this value in equation (1)
Dx/dt = ( DV(c,x)/ dt )/ 3x² ⇒ Dx/dt = 824 / 3*x²
Dx/dt = 824 /3*77.55
Dx/dt = 824/232,64
Dx/dt = 3,542
Then we got Dx/dt where x is cube edge. The area of the face is x² then
the rate of change of the suface area is
DA/dt = ( Dx/dt )²*6 ( 6 faces of a cube)
DA/dt = (3.542)²*6
DA/dt = 75.27 cm²
Using sampling concepts, it is found that the correct option is given by:
B. The Golf Federation's conclusion was not valid because the sample was biased since the male customers all lived in California.
<h3>What is sampling?</h3>
It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
In this problem, the objective is to make an estimate about the most popular brand of golf ball from men all over the United States, however, only customers from California were chosen, hence the sample is not representative and option B is correct.
More can be learned about sampling concepts at brainly.com/question/25122507
Area = side * side
Area of the square = 6 1/9 * 6/1/9
= 36 1/81
Answer:
Therefore the correct option is b.) $1.15
Step-by-step explanation:
i) the book is 10 days late
ii) there is one day grace
iii) on the second day there is a fine of $0.25
iv) on the third day there is a fine of $0.20
v) for each of the remaining 7 days there is a fine of $0.10 for each day
therefore the total fine for the remaining seven days is = 7 
$0.10 =
$0.70
vi) therefore the total fine for the book is = $0.25 + $0.20 + $0.70 = $1.15
Therefore the correct option is b.) $1.15
