To account for the walking speed of a bipedal or quadrupedal animal, model a leg that is not contacting the ground as a uniform rod of length $\ell$, swinging as a physical pendulum through one half of a cycle, in resonance. Let $\theta_{\max }$ represent its amplitude. What leg length would give twice the speed for the same angular amplitude?

A Pet Story Tell a pet story of your own, using an animal-your own pet or someone else's-as the main character. Try to describe your pet in a way that brings him or her to life In your narrative, tell what and where it happened, and how you felt about it. Supporting an Opinion

Neurology is, in part, the study of the brain's functions to determine how the brain controls the human nervous system. Phrenology is the study of the shape of a person's skull to determine that person's personality. Both neurology and phrenology are based on evidence that specific areas of the brain control specific functions. Which is a science? Which is a pseudoscience? Explain.

Continue to think about the gestation times and longevities of animals. The gestation time for the type of animal called the ocelot is known to be 85 days. The least squares line predicts the longevity of the ocelot to be 10.0 years. $y=6.642+0.03974(85)=10.0$ We know that the actual longevity of the ocelot is 9 years. What is the residual for the ocelot?

Choose the letter for the best answer. In Tyrone's science class he is studying cells. Cell A divides every 30 minutes. If Tyrone starts with two cells, how many cells will he have in 3 hours? A. 6 cells B. 32 cells C. 128 cells D. 512 cells

Match the term with the following definitions.

Organic food

a. Commercial firms in agriculture

b. Electronics and ultramodern equipment

c. Growing in water

d. Basic science of plants and animals

e. Can replace itself

f. Characteristics of elements

g. Space and mass around us

h. Grown without chemical pesticides

Match the definition in Column B with the word in Column A.

Marissa is competing in the Egg Drop Competition at her school's Science Fair. Competitors in the Egg Drop Competition are required to create a container in which they place a raw egg, and then drop the container from various heights to see if the egg breaks. The winner of the contest is the person whose container is dropped from the greatest height without the egg breaking. Marissa is testing a container she built for the competition. She placed an egg in her container and dropped it from the roof of the science building that is 60 feet high. The height of the egg can be modeled by the function $f(x)=-16 x^2+64$, where $x$ represents the time in seconds.

Explain why the inverse of $f(x)$ with the restricted domain is a function. Then, write an equation for $f^{-1}(x)$ .

Match the definition in Column B with the word in Column A.

An article in Science stated that the number of insect species of a given mass is proportional to $m^{-0.6}$, where m is the mass in grams. A graph accompanying the article shows the common logarithm of the mass on the horizontal axis and the common logarithm of the number of species on the vertical axis. Explain why the graph is a straight line. What is the slope of the line?

For a Science Olympiad competition, a group of middle school students build a trebuchet that can fire a tennis ball from a height of $1.55 \mathrm{~m}$ with a velocity of $10.5 \mathrm{~m} / \mathrm{s}$ and a launch angle of $35.0^{\circ}$ above the horizontal. What is the $x$-component of the velocity of the tennis ball just before it hits the ground?

A city wants to know if a new advertising campaign to make citizens aware of the dangers of driving after drinking has been useful. They count the number of drivers who have been stopped with more alcohol in their systems than the law allows for each day of the week in the week before and the week a month after the campaign begins. Here are the results:

f) How many degrees of freedom does the $t$-statistic have?

To see the effect of a relatively small error in the estimate of the amount of carbon-14 in a sample being dated, answer the following questions about this hypothetical situation. A fossilized bone found in central Illinois in the year A. D. 2000 contains 17% of its original carbon-14 content: Estimate the year the animal died.

The number of animals adopted through Tallahassee Animal Services decreased by $1.1 \%$ from 2011 to 2012. It then decreased by $3.6 \%$ from 2012 to 2013 and decreased again by $8.5 \%$ from 2013 to 2014. The number increased by $11.0 \%$ from 2014 to 2015. If there were 2879 adoptions in 2015, how many were there in $2011 ?$