There are 12 inches in a foot, so 9ft = 108in. Also, 80% = 0.8. Therefore the formula is:
h(n) = 108 * 0.8^n.
To find the bounce height after 10 bounces, substitute n=10 into the equation:
h(n) = 108 * 0.8^10 = 11.60in (2.d.p.).
Finally to find how many bounces happen before the height is less than one inch, substitute h(n) = 1, then rearrage with logarithms to solve for the power, x:
108 * 0.8^x = 1;
0.8^x = 1/108;
Ln(0.8^x) = ln(1/108);
xln(0.8) = ln(1\108);
x = ln(1/108) / ln(0.8) = -4.682 / -0.223 = 21 bounces
Answer:
the answer is a
Step-by-step explanation:
if you calculate 3 and42 you get 13 and if you calculate that to 10 you get 4
Answer:
x = 5
Step-by-step explanation:
The sum of interior angles in a triangle is 180°
91° + 10x - 4° + 8x + 3° = 180° add the like terms
90° + 18x = 180°
18x = 180° - 90
18x = 90° divide both sides by 18
x = 5
Answer:
It is an irrational number, 
as a decimal rounded to the tenth place is 1.7
Step-by-step explanation:
All square roots are irrational numbers
Answer:
The solution is x = 1 because 2(1) - 1 = -1
Step-by-step explanation:
