Answer:
The ball will reach a height of 5 ft by the 4th time.
Step-by-step explanation:
The initial height of the ball is 40 ft, when it bounces from the floor once the height will be 20 ft, the second time it'll be 10 ft, and so on. The sequence that can represent the maximum height of the ball after each bounce is:
{40, 20, 10,...}
This kind of sequence is called a geometric progression, in this kind of progression the next number is related to the one before it by the product of a constant called ratio, in this case 1/2. To calculate a specific position in this sequence we only need the ratio and the first number, using the formula below:
a_n = a*r^(n-1)
Where n is the position we want to know, a is the first number and r is the ratio. In this case we have:
a_4 = 40*(1/2)^(4-1) = 40*(1/2)^3 = 40/8 = 5
The ball will reach a height of 5 ft by the 4th time.
Answer:
x = 36
Step-by-step explanation:
the supplementary angle in the lower right corner is 180 - 150 = 30°.
sin 30 = 18/x
0.5 = 18/x
x = 36
Answer:
$936
Step-by-step explanation:
$780
20% of $780 is $156
$780 + $156 = $936
Answer:
9 to the power 10 or 9^10
Step-by-step explanation:
9^5×2
= 9^10
Answer:
The population of this country in 11 years will be 76972702.82
Step-by-step explanation:
The population of this country in 11 years can be calculated using the formula
Population in 11 years = Starting population x 
Thus
Population in 11 years =50000000×
=76972702.82
