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Sarah Williams

Sarah W.

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Paul Gabriel verified

Numerade educator

text <thought

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Umar Sohail Qureshi verified

Numerade educator

CE Predict/Explain (a) If you rub your hands together, does the entropy of the universe increase, decrease, or stay the same? (b) Choose the best explanation from among the following: I. Rubbing hands together draws heat from the surroundings, and therefore lowers the entropy. II. No mechanical work is done by the rubbing, and hence the entropy does not change. III. The heat produced by rubbing raises the temperature of your hands and the air, which increases the entropy.

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INSTANT ANSWER

A company that manufactures toothpaste is studying five different package designs. Assuming that one design is just as likely to be selected by a consumer as any other design, what selection probability would you assign to each of the package designs? In an actual experiment, 100 consumers were asked to pick the design they preferred. The following data were obtained. Do the data confim the belief that one design is just as likely to be selected as another? Explain.

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Teresa Fuston verified

Numerade educator

Hector had $y$ dollars in his savings account. He made a deposit of twenty-dollar bills and dollar coins. He had four times as many dollar coins as he had twenty-dollar bills and the total of his twenty-dollar bills was $\$ 60 .$ Write an expression for the balance in Hector's account after the deposit.

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INSTANT ANSWER

Express the area of the plane figure shown as a polynomial in standard form.

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Nipun Perera verified

Numerade educator

A car rounds a banked curve as discussed in Example 6.4 and shown in Figure 6.5. The radius of curvature of the road is $R,$ the banking angle is $\theta,$ and the coefficient of static friction is $\mu_{s}$ . (a) Determine the range of speeds the car can have without slipping up or down the road. (b) Find the minimum value for $\mu_{s}$ such that the minimum speed is zero.

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Albert Tres verified

Numerade educator

Use the given graph of the function $f$ to answer parts (a) $-(n)$ $$ \begin{array}{l}{\text { (a) Find } f(0) \text { and } f(-6)} \\ {\text { (b) Find } f(6) \text { and } f(11)} \\ {\text { (c) Is } f(3) \text { positive or negative? }} \\ {\text { (d) Is } f(-4) \text { positive or negative? }} \\ {\text { (d) For what values of } x \text { is } f(x)=0 ?} \\ {\text { (f) For what values of } x \text { is } f(x)=0 ?} \\ {\text { (g) What is the domain of } f ?} \\ {\text { (h) What is the range of } f ?} \\ {\text { (i) What are the } x \text { -intercepts? }} \\ {\text { (j) What is the } y \text { -intercept? }}\end{array} $$ $$ \begin{array}{l}{\text { (k) How often does the line } y=\frac{1}{2} \text { intersect the graph? }} \\ {\text { (1) How often does the line } x=5 \text { intersect the graph? }} \\ {\text { (m) For what values of } x \text { does } f(x)=3 ?} \\ {\text { (n) For what values of } x \text { does } f(x)=-2 ?}\end{array} $$

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Leon Druch verified

Numerade educator

For the following exercises, determine the domain for each function in interval notation. Given $f(x)=x^{2}+2 x$ and $g(x)=6-x^{2},$ find $f+g$ $f-g, f g,$ and $\frac{f}{g}$

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Teresa Fuston verified

Numerade educator

In Exercises 23-32, find the $ x $- and $ y $-intercepts of the graph of the equation. $ y^2 = x+1 $

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Jennifer Hudspeth verified

Numerade educator

Is the molecule HOCl polar or nonpolar? Use a Lewis dot structure to explain your thinking.

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