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
This is an exponential function.
Without any transformations (up or down), the range is y > 0
Answer: b. 160
Step-by-step explanation: just took the test
Answer:
8n/9 - 4/3
Step-by-step explanation:
Answer:
the ratio of perimeters is 3/5
the ratio of areas is 9/25
Step-by-step explanation:
first we divide the given sides of both figures
perimeter=side 1/side 2
=15/25
p=<u>3</u><u>/</u><u>5</u>
to find the ratios of the area
=(side 1/side 2)^2
=(3/5)^2
=<u>9</u><u>/</u><u>2</u><u>5</u>
