Answer: Second Option

Step-by-step explanation:
The exponential growth functions have the following form:

Where a is the main coefficient, b is the base and x is the exponent.
For this type of functions the base b must always be greater than 1. Otherwise it would be an exponential decay function
Among the options given, the only function whose base is greater than 1 is the second option:

Answer:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Step-by-step explanation:
The volume of a hemisphere (
), measured in cubic centimetres, is obtained from this formula:

Where
is the radius of the hemisphere, measured in centimetres.
We know that radius is the half of the diameter (
), measured in centimetres, then:

(
)


Now, we get the volume of each hemispherical bowl:


The total volume of six hemispherical bowl is:



From Physics we know that 1 litre equals 1000 cubic centimetres. Then:

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Note for probability, if it will never happen the P = 0. If it must happen P = 1.
So certain to happen:
C. P=1
Answer:

Step-by-step explanation:
Given



Required
Solve for A
Simply substitute 18 for b and 30 for h



Hence:
The area is

Answer:
14
Step-by-step explanation:
(a+b)^2
(a+b)(a+b)
FOIL
a^2 + ab+ab + b^2
Combine like terms
a^2 +2ab + b^2
Rearranging
a^2+b^2 +2ab
We know a^2+b^2 = 4 and ab= 5
4 + 2(5)
4+10
14