______________ Kenye Insetlang is a descendent of Lalkio Waguk (refer to the diagram). How many biological ancestors does Kenye Insetlang have in Lalkio's generation?
______________ An analysis of the age of the women at childbirth in Kenye's extended family forest suggests an inter-generational age of 25 years. Kenye was born in 2001. Using 25 years for one generation, what is the estimated year of Lalkio's birth?
f(x) = _______ Write the function that calculates the number of biological ancestors in terms of generation number x.
A keyboard has 95 characters that can be used in passwords:
The formula for the number of possible passwords is given by the exponential function:
(number of characters available)(length of the password)
For a password with a length of four, what is the number of possible passwords?
_____________
"Armed with a single graphics processor, [computer crackers] can cycle through more than eight billion password combinations each second when attacking "fast" hashes." ArsTechnica. Divide the answer to the previous question by 8 billion (8 000 000 000) to determine how many seconds that a length four password would survive a brute force attack.
__________ A ball bounce function is given by f(x) = 100 × (0.80)n where n is the bounce number and f(x) is the bounce height. Calculate the height of the ninth bounce by evaluating this function at n = 9.
__________ Solve the ball bounce function 10 = 100 e−0.2x for x to calculate the bounce number for which the bounce height is 10 cm.
__________ Evaluate f(x) = log10(x) for x = 10,000.
__________ Use a calculator or computer to evaluate f(x) = log10(x) for x = 500.
__________ Evaluate f(x) = lne(x) for x = e.
__________ For the function shown in the chart, determine the height of the 14th bounce. x is the bounce number, f(x) is the bounce height. The "dot" after the 100 in the equation is a multiplication sign.
_______________ A ball bounce function is given by the function:
f(x) = 100 e−0.35x
where x is the bounce number and f(x) is the bounce height. Solve for the bounce number x where f(x) is two centimeters high. In other words, solve
2 = 100 e−0.35x
for x.
The chart depicts a baby weight function for a baby that grew at f(x) = 16.07 ln(x) − 27.51 where x is the months since conception and f(x) is the weight in pounds. Birth is at x = 9 months. The y-axis is the weight of the baby in pounds.
____________ Calculate the birth weight of the baby by evaluating the growth function at x = 9 months.
____________ Calculate the weight of the baby at x = 21 months (one year post birth).
____________ Tough one: Calculate the age of the baby when the weight was equal to 27 pounds.
Name:
The chart depicts a baby weight function for a baby that grew at