__________ A ball bounce function is given by where x is the bounce number and f(x) is the bounce height. Evaluate this function at x = 10 bounces.
__________ A ball bounce function is given by
where x is the bounce number and f(x) is the bounce height. Solve for the bounce number x where f(x) is 4.0354 centimeters high .
__________ For the function shown in the chart, evaluate the height of the 5th bounce.
Logaleen has a growth rate given by the following table:
Age in months post-conception x)
Actual mass in kilograms (y)
9
3.4
10
4.1
11
4.8
12
5.4
13
6.0
14
6.5
15
7.0
16
7.4
Enter the data in a LibreOffice.org Calc spreadsheet. Insert a logarithmic trendline and show the equation. Write the equation below:
___________ Logaleen has a growth rate curve given by the equation above. Use the logarithmic equation to predict the mass of the baby at 20 months post-conception.
__________ Logaleen has a growth rate curve given by the equation above. Use the logarithmic equation to solve for the month in which the baby will have a mass of 14 kilograms.
The soil on Bikini atoll in the Marshall Islands is contaminated by the radioactive element Cesium-137. Like all radioactive elements, Cesium-137 will eventually decay into non-radioactive elements. The rate of decay is an exponential decay given by the formula
where P is the starting amount of Cesium in the soil in kilograms, t is the number of years, and N is the remaining amount of radioactive Cesium after that number of years.
__________ If there are 100 kilograms of Cesium-137 in the soil now, how many kilograms will be in the soil in 60 years?
__________ How many years until 10 kilograms of the original 100 kilograms of Cesium-137 is left in the soil?
The circle has a radius r = 100. The center of the circle is (100,100).
__________ Given r = 100 and θ = 18°, calculate the length of B, the adjacent side.
__________ Given r = 100 and θ = 18°, calculate the length of D, the opposite side.
__________ Given r = 100 and φ = 36°, calculate the length of F, the adjacent side.
__________ Given r = 100 and φ = 36°, calculate the length of H, the opposite side.
A RipStik was ridden across a wet cloth towel soaked in water with food color. The RipStik was then swizzled across a large sheet of presentation paper. The swizzle wave can be seen in the diagram below.
λ = _______________ Determine the wavelength λ of the RipStik swizzle wave.
a = _______________ Determine the amplitude a of the RipStik swizzle wave.
f(x) = ______ sin( _________ x). Given the general form
,
write the equation for the RipStik swizzle wave.
_________ A tuning fork has a frequency of 384 Hertz. Calculate the period for the tuning fork.
_________ Calculate the period for f(x) = 42 tan (1.2566 x)