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Genetic drift can be caused by a variety of events. A genetic bottleneck, which is one such event, results when a population loses most of its members. Genetic drift due to the founder effect results when a small group is permanently isolated from a larger population. Populations resulting from either a genetic bottleneck or the founder effect tend to have fewer allele variations than the original population. The effects of genetic drift last for many generations.

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1. [20 points] The density of a fluid is given by the empirical equation $\rho = 70.5 \exp(8.27 \times 10^{-7} P)$, where $\rho$ is density ($lb_m/ft^3$) and $P$ is pressure ($lb_f/in.^2$). (a) What are the units of 70.5 and $8.27 \times 10^{-7}$? (b) Calculate the density in $g/cm^3$ for a pressure of $9.00 \times 10^6 N/m^2$. (c) Derive a formula for $\rho$ ($g/cm^3$) as a function of $P$ ($N/m^2$). (Hint: $14.696 lb_f/in.^2 = 1.01325 \times 10^6 N/m^2$; $1 m = 3.28 ft$; $1 kg = 2.2046 lb_m$; $1 N = 0.2248 lb_f$)

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23 Which of the following would be economic activity that the federal government could regulate under the Commerce Clause? 01:39:35 Multiple Choice Hunter Cattle Company is a sustainable ranch selling grass fed beef. The company does business exclusively within its own state. Many similar sustainable ranches and farms are throughout the country. Cumulatively, they have a substantial impact on interstate commerce, but Hunter Cattle by itself has a miniscule effect. Felicity's Felines ships purebred cats throughout the three westernmost states: California, Oregon, and Washington. These are the only states where she does business. She ships cats to these states only never setting foot in the other states herself.

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All substances below can leave the blood by diffusing directly through the plasma membrane of endothelial cells EXCEPT? Carbon dioxide Electrolytes Oxygen Steroid hormones

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1. The carrier distributions or number of carriers as a function of energy in the conduction and valance bands have peaks very close to the band edges ($E_c$ and $E_v$, respectively). In this problem, we get a quantitative idea about how close to the band edges these peaks are. (Pierret 2.7 and 2.8) a. In a nondegenerate semiconductor ($E_c - E_f > 3kT$), show that the distribution of the number of electrons in the conduction band ($g_c(E) f(E)$) has a peak at $E = E_c + kT/2$. Where is the corresponding peak for the distribution of the number of holes in the valance band? b. What is the ratio of the electron population ($g_c(E) f(E)$) at $E = E_c + 5kT$ to the peak electron population?

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Two vectors are given by \(\vec{a} = (4.0\text{ m})\hat{i} - (3.0\text{ m})\hat{j} + (1.0\text{ m})\hat{k}\) and \(\vec{b} = (-1.0\text{ m})\hat{i} + (1.0\text{ m})\hat{j} + (4.0\text{ m})\hat{k}\). In unit-vector notation, find (a) \(\vec{a} + \vec{b}\), (b) \(\vec{a} - \vec{b}\), and (c) a third vector \(\vec{c}\) such that \(\vec{a} - \vec{b} + \vec{c} = 0\).

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Problem 1. Prove, only using the axioms of an ordered field, that if $x \in \mathbb{R}$, then $-(-x) = x$. Hint: Start by taking $w = -x$. Write down the property an element must satisfy in order to be the additive inverse of $w$. Check that $x$ satisfies that property.

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Stock markets from Australia, the US, China, and other countries have experienced significant levels of volatility in the past 12 months. I am a very conservative investor. As such, I tend to hold a conservative stock portfolio. However, I was recently advised that selected defensive stocks should be included in my portfolio. Should I follow this advice in the current market environment? Justify your view PLEASE HELP

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When are second messengers needed? Select one: a. When molecules are bound to protein complexes b. When molecules don't use ATP until their last shape change c. When molecules are not lipid soluble d. When molecules are in a high-energy, unstable state Endocrine cells: Select one: a. Release their secretions directly into body fluids b. Contain few vesicles c. Release their secretions onto an epithelial surface d. Are modified connective tissue cells e. Are a type of nerve cell

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1. (8 points) Suppose we live in an economy with just one bank. Mary is the first customer of the bank and makes a deposit of $500. The required reserve ratio is 20%. (a) (2 points) What is the excess reserve amount? With this amount of excess reserve, is the bank allowed to make any loans? (b) (2 points) What is the maximum amount of loan that the bank can make if the borrower does not withdraw the money. (c) (2 points) What is the maximum amount of loan that the bank can make if the borrower decides to withdraw $100. (d) (2 points) What is the money multiplier?

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