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Donald H.

Physics 102 Electricity and Magnetism

12Â hours ago

A current of 17.0 mA is maintained in a single circular loop of 2.00 m circumference. A magnetic field of 0.800 T is directed parallel to the plane of the loop. (a) Calculate the magnetic moment of the loop. (b) What is the magnitude of the torque exerted by the magnetic field on the loop?

Sarah W.

Physics 102 Electricity and Magnetism

12Â hours ago

A cyclotron designed to accelerate protons has a magnetic field of magnitude 0.450 T over a region of radius 1.20 m. What are (a) the cyclotron frequency and (b) the maximum speed acquired by the protons?

Mackenzie P.

Physics 102 Electricity and Magnetism

12Â hours ago

(a) Calculate the electric potential 0.250 cm from an electron. (b) What is the electric potential difference between two points that are 0.250 cm and 0.750 cm from an electron? (c) How would the answers change if the electron were replaced with a proton?

Ronald A.

Physics 101 Mechanics

12Â hours ago

The spring of the pressure gauge shown in Figure P14.7 has a force constant of 1 250 N/m, and the piston has a diameter of 1.20 cm. As the gauge is lowered into water in a lake, what change in depth causes the piston to move in by 0.750 cm?

Jacob M.

Physics 101 Mechanics

12Â hours ago

A truck loaded with cannonball watermelons stops suddenly to avoid running over the edge of a washed-out bridge (Fig. P4.60). The quick stop causes a number of melons to fly off the truck. One melon leaves the hood of the truck with an initial speed $v_{i}=10.0 \mathrm{m} / \mathrm{s}$ in the horizontal direction. A cross section of the bank has the shape of the bottom half of a parabola, with its vertex at the initial location of the projected watermelon and with the equation $y^{2}=16 x,$ where $x$ and $y$ are measured in meters. What are the $x$ and $y$ coordinates of the melon when it splatters on the bank?

Carol F.

Physics 101 Mechanics

12Â hours ago

A rock is thrown upward from level ground in such a way that the maximum height of its flight is equal to its horizontal range $R$ (a) At what angle $\theta$ is the rock thrown? (b) In terms of its original range $R,$ what is the range $R_{\max }$ the rock can attain if it is launched at the same speed but at the optimal angle for maximum range? (c) What If? Would your answer to part (a) be different if the rock is thrown with the same speed on a different planet? Explain.

Benjamin M.

Physics 102 Electricity and Magnetism

12Â hours ago

(II) Three point charges are arranged at the corners of a square of side $L$ as shown in Fig. $17-25 .$ What is the potential at the fourth corner (point $\mathrm{A} )$ , taking $V=0$ at a great distance?

Jon C.

Physics 101 Mechanics

12Â hours ago

(III) $(a)$ Show that the minimum stopping distance for an automobile traveling at speed $v$ is equal to $v^{2} / 2 \mu_{\mathrm{s}} g$ , where $\mu_{\mathrm{s}}$ is the coefficient of static friction between the tires and the road, and $g$ is the acceleration of gravity. (b) What is this distance for a $1200-\mathrm{kg}$ car traveling 95 $\mathrm{km} / \mathrm{h}$ if $\mu_{\mathrm{s}}=0.75 ?$

Patrick S.

Discrete Mathematics

12Â hours ago

In Exercises 1â€“5 find the output of the given circuit.

Email E.

Discrete Mathematics

12Â hours ago

Use quantifiers to express the distributive laws of multiplication over addition for real numbers.

Adrian E.

Discrete Mathematics

12Â hours ago

Determine the truth value of each of these statements if the domain of each variable consists of all real numbers. $$ \begin{array}{ll}{\text { a) } \forall x \exists y\left(x^{2}=y\right)} & {\text { b) } \forall x \exists y\left(x=y^{2}\right)} \\ {\text { c) } \exists x \forall y(x y=0)} & {\text { d) } \exists x \exists y(x+y \neq y+x)}\end{array} $$ $$ \begin{array}{l}{\text { e) } \forall x(x \neq 0 \rightarrow \exists y(x y=1))} \\ {\text { f) } \exists x \forall y(y \neq 0 \rightarrow x y=1)} \\ {\text { g) } \forall x \exists y(x+y=1)} \\ {\text { h) } \exists x \exists y(x+2 y=2 \wedge 2 x+4 y=5)} \\ {\text { i) } \forall x \exists y(x+y=2 \wedge 2 x-y=1)} \\ {\text { j) } \forall x \forall y \exists z(z=(x+y) / 2)}\end{array} $$

Allison B.

Discrete Mathematics

12Â hours ago

A discrete mathematics class contains 1 mathematics major who is a freshman, 12 mathematics majors who are sophomores, 15 computer science majors who are sophomores, 2 mathematics majors who are juniors, 2 computer science majors who are juniors, and 1 computer science major who is a senior. Express each of these statements in terms of quantifiers and then determine its truth value. a) There is a student in the class who is a junior. b) Every student in the class is a computer science major. c) There is a student in the class who is neither a mathematics major nor a junior. d) Every student in the class is either a sophomore or a computer science major. e) There is a major such that there is a student in the class in every year of study with that major.

James C.

Discrete Mathematics

12Â hours ago

Find the argument form for the following argument and determine whether it is valid. Can we conclude that the conclusion is true if the premises are true? If George does not have eight legs, then he is not a spider. George is a spider. ? George has eight legs.

Carrie M.

Discrete Mathematics

12Â hours ago

Let $C(x, y)$ mean that student $x$ is enrolled in class $y$ where the domain for $x$ consists of all students in your school and the domain for $y$ consists of all classes being given at your school. Express each of thements by a simple English sentence. a) $C(\text { Randy Goldberg, } \mathrm{CS} 252)$ b) $\exists x C(x, \text { Math } 695)$ c) $\exists y C(\text { Carol Sitea, } y)$ d) $\exists x(C(x, \text { Math } 222) \wedge C(x, \text { CS } 252))$ e) $\exists x \exists y \forall z((x \neq y) \wedge(C(x, z) \rightarrow C(y, z)))$ f) $\exists x \exists y \forall z((x \neq y) \wedge(C(x, z) \leftrightarrow C(y, z)))$

Aaron H.

Precalculus

12Â hours ago

In Exercises $17-26,$ construct an appropriate triangle to complete the table. $\left(0 \leq \theta \leq 90^{\circ}, 0 \leq \theta \leq \pi / 2\right)$. $$ \text { Function } \quad \theta(\text { deg }) \quad \theta(\text { rad) } \quad \text { Function Value } $$ $$ \sin \quad 30^{\circ} $$

Derek F.

Precalculus

12Â hours ago

In Exercises $27-30,$ sketch each angle in standard position. $$ \text { (a) }-270^{\circ} \text { (b) }-120^{\circ} $$

Patrick A.

Calculus 3

12Â hours ago

Writing A salesperson earns a 3$\%$ bonus on weekly sales over $\$ 5000$ . $$\begin{array}{l}{g(x)=0.03 x} \\ {h(x)=x-5000}\end{array}$$ a. Explain what each function above represents. b. Which composition, $(h \circ g)(x)$ or $(g \circ h)(x),$ represents the weekly bonus? Explain.

Gregory A.

Physics 101 Mechanics

12Â hours ago

A projectile is being launched from ground level with no air resistance. You want to avoid having it enter a temperature inversion layer in the atmosphere a height $h$ above the ground. (a) What is the maximum launch speed you could give this projectile if you shot it straight up? Express your answer interms of $h$ and $g$ . (b) Suppose the launcher available shoots projectiles at twice the maximum launch speed you found in part (a). At what maximum angle above the horizontal should you launch the projectile? (c) How far (in terms of $h$ ) from the launcher does the projectile in part (b) land?

Richard L.

Calculus 1 / AB

12Â hours ago

The concentration of a drug in a patient's bloodstream $h$ hours after it was injected is given by $$ A(h)=\frac{0.17 h}{h^{2}+2} $$ Find and interpret $\lim _{h \rightarrow \infty} A(h)$

Patrick G.

Intro Stats / AP Statistics

12Â hours ago

You take a quiz with 6 multiple choice questions. After you studied, you estimated that you would have about an 80% chance of getting any individual question right. What are your chances of getting them all right? Use at least 20 trials.

Amanda W.

Intro Stats / AP Statistics

12Â hours ago

In the chapterâ€™s example, 20% of the cereal boxes contained a picture of LeBron James, 30% Danica Patrick, and the rest Serena Williams. Suppose you buy five boxes of cereal. Estimate the probability that you end up with a complete set of the pictures. Your simulation should have at least 20 runs.

Erica S.

Intro Stats / AP Statistics

12Â hours ago

When drawing five cards randomly from a deck, which is more likely, two pairs or three of a kind? A pair is exactly two of the same denomination. Three of a kind is exactly 3 of the same denomination. (Donâ€™t count three 8â€™s as a pairâ€”thatâ€™s 3 of a kind. And donâ€™t count 4 of the same kind as two pairâ€”thatâ€™s 4 of a kind, a very special hand.) How could you simulate 5-card hands? Be careful; once youâ€™ve picked the 8 of spades, you canâ€™t get it again in that hand. a) Describe how you will simulate a component. b) Describe how you will simulate a trial. c) Describe the response variable.

Stephanie G.

Intro Stats / AP Statistics

12Â hours ago

Youâ€™re pretty sure that your candidate for class president has about 55% of the votes in the entire school. But youâ€™re worried that only 100 students will show up to vote. How often will the underdog (the one with 45% support) win? To find out, you set up a simulation. a) Describe how you will simulate a component. b) Describe how you will simulate a trial. c) Describe the response variable.

Bonnie P.

Intro Stats / AP Statistics

12Â hours ago

Many kinds of games people play rely on randomness. Cite three different methods commonly used in the attempt to achieve this randomness, and discuss the effectiveness of each.

Chelsea W.

Intro Stats / AP Statistics

12Â hours ago

A tire manufacturer believes that the treadlife of its snow tires can be described by a Normal model with a mean of 32,000 miles and standard deviation of 2500 miles. a) If you buy a set of these tires, would it be reasonable for you to hope theyâ€™ll last 40,000 miles? Explain. b) Approximately what fraction of these tires can be expected to last less than 30,000 miles? c) Approximately what fraction of these tires can be expected to last between 30,000 and 35,000 miles? d) Estimate the IQR of the treadlives. e) In planning a marketing strategy, a local tire dealer wants to offer a refund to any customer whose tires fail to last a certain number of miles. However, the dealer does not want to take too big a risk. If the dealer is willing to give refunds to no more than 1 of every 25 customers, for what mileage can he guarantee these tires to last?

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