Volume = pi * radius^2 * height
= 3.14 * 5^2 * 13
= 3.14 * 25 * 13
= 1020.5
Answer: the number of favorable outcomes
Step-by-step explanation:
It says it on Apex
Let f(x) = ax³ + 9x² + 4x – 10
g(x) = 0⇒x - 3 = 0
⇒ x = 0 + 3
⇒ x = 3
On dividing f(x) by x - 3, it leaves a remainder 5.
Now keeping, f(3) = 5
⇒a(3)³ + 9(3)² + 4(3) - 10 = 5
⇒ a × 27 + 9 × 9 + 4 × 3 - 10 = 5
⇒ 27a + 81 + 12 - 10 = 5
⇒ 81 + 12 - 10 - 5 = 27a
⇒ 81 + 12 - 15 = 27a
⇒ 93 - 15 = 27a
⇒ 78 = 27a
⇒ a = 27/78
⇒ a = 0.3461
Answer:
Option A.
Step-by-step explanation:
Definition of Boyle's law: a law stating that the pressure of a given mass of an ideal gas is inversely proportional to its volume at a constant temperature. There is thus a relationship between volume and pressure of the gas thus option B and C are incorrect.
Answer:
<em>The function to represent this relationship will be: 
</em>
Step-by-step explanation:
varies inversely with 
. That means......
where 
is a proportional constant.
Given that, when 
, then 
Plugging these values into the above equation, we will get.....
Now plugging this 
into equation (1).....
So, the function to represent this relationship will be:
