A = L * W
A = 357
W = 17
357 = 17L
357 / 17 = L
21 = L <== length is 21 inches
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
Answer:
its either 19.25 or 22.75
Step-by-step explanation:
Answer:
The last two terms of the expression are

Both the last terms has variable of degree equal to (2+4=6) and (3+3=6).So, the first term must have degree greater than 6.
Correct Options are

Answer:
so that number becomes divisible by 3, 6 and 9.
Step-by-step explanation:
In Number Theory there is a rule of thumb which states that sum of digits of a multiple of 3 equal 3 or a multiple of three. If we know that
, then its sum of digits is:

(Eq. 1)
We have to determine which digits corresponds to multiples of three, there are four digits:
N = 0

(
)
N = 3

(
)
N = 6

(
)
N = 9

(
)
We get the following four distinct options: 154038, 154338, 154638, 154938. Now we find which number is divisible by 6 and 9 by factor decomposition:




It is quite evident that
so that number becomes divisible by 3, 6 and 9.