Answer:
The average rate of change of f(x) = 3.14 inches⁻¹
The change in f(x) = 49.32 in
Step-by-step explanation:
The surface area of the spherical sculpture = x and its diameter f(x) = πx.
The average rate of change of f(x) as x changes is df(x)/dx = π = 3.14
Now the change in diameter Δf(x) = df(x) = (df(x)/dx)dx = πdx
dx = Δx = 28.3 in² - 12.6 in² = 15.7 in²
df(x) = π × 15.7 = 49.32 in
Your answer for the girls in the gymnastics club is correct.
Do the percentage of water the same way: Divide 139 by 197.
That'll give you the decimal amount that's covered by water.
To change the decimal to a percentage, move the decimal point
two places that way ==> .
Answer: 985 g
Step-by-step explanation:
Total mass = 8 × 500g = 4000g
Let the three new packs be X, Y, and Z, for first, second, and third pack respectively.
4000g = X + Y + Z
let's put X and Z in terms of Y, since we're trying to solve for the second pack.
X = 2Y, and Z = Y + 60
Therefore,
4000 = X + Y + Z
4000 = 2Y + Y +Y + 60
4000 = 4Y +60
4000 - 60 = 4Y
3940 = 4Y
3940 ÷ 4 = Y
985g = Y = mass of the second pack
Answer: a= 0.0231
Step-by-step explanation:
n=8
p=0.75
q=1 - 0.75 = 0.25
(p=x)
p(5) = 8C5 (0.25)^5 (0.75)^8-5
p(5)= 0.0231
Or 2.31%
