Answer:
The associative property will be:
So, Option C is the correct option.
Step-by-step explanation:
We need to write the expression that uses the associative property to make it easier to evaluate:
The associative property of multiplication states that:
So, For the given expression:
The associative property will be:
So, Option C is the correct option.
Answer:
Option B is correct.
sum of given geometric series is, 255
Step-by-step explanation:
Evaluate the geometric series:
we can write this as:
Formula for the sum of the geometric series:
for r > 1
where
a is the first term
n is the number of terms
r is the common ratio
In the given series:
common ratio (r) = 2>1, n = 8 and first term(a) = 1
Since,
and so on...
then substitute the given values in [1] we have;
or
Therefore, the sum of given geometric series is, 255
Answer:
220,781.25 cubic cm
Step-by-step explanation:
Given ratio of the diameters = 15:11
Let the actual value of of diameters be 15x and 11x to maintain the ratio of 15:11
Given that smaller one has diameter of 55cm
thus 11x = 55cm
x = 55/11 cm = 5
Thus, diameter of larger ball = 15xcm= 15*5cm =75cm.
we know that radius is half of diameter
Radius = diameter/2
Thus radius of larger ball = 75/2 cm = 37.5 cm.
Volume of sphere is given by
we know that ball has spherical shape
thus volume of larger ball is calculated as given below
Thus, volume of larger ball is 220,781.25 cubic cm