Answer:
The third option
Step-by-step explanation:
Given
(a + 3)(- 2a² + 15a + 6b²)
Each term in the second factor is multiplied by each term in the first factor, that is
a(- 2a² + 15a + 6b²) + 3(- 2a² + 15a + 6b²) ← distribute both parenthesis
= - 2a³ + 15a² + 6ab² - 6a² + 45a + 18b² ← collect like terms
= - 2a³ + 9a² + 45a + 6ab² + 18b² → C
Answer:
The answer is "Option a".
Step-by-step explanation:
Using the binomial distribution:

In this the maximum value which is significantly low,
, and the minimum value which is significantly high,
, that is equal to:

The formula for finding the total interior angle measure is:
180(n-2)
n is the number of sides.
180(25-2) = 4140
So each interior angle would be: 165.6
4140/25 = 165.6
Hope this helps :)
The electrical resistance of a wire varies as its length and inversely as the square of the diameter.
R = (k*L)/(d^2)
where k = proportionality constant
Since the two wires have the same material, their proportionality constant is same.
Equating that
(R1*d1^2)/L1 = (R2*d2^2)/L2
Given that R1 = 10 ohms, d1 = 1.2 mm or 0.0012 m, L1 = 18 m, d2 = 1.5 mm or 0.0015 m, L2 = 27 m, and R2 is unknown.
Therefore
[10*(0.0012^2)]/18 = [R2*(0.0015^2)]/27
R2 = 9.6 ohms