Numerade

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Part A The inner hub of the roller bearing shown in (Figure 1) is rotating with an angular velocity of $\omega_i = 7.2$ rad/s, while the outer hub is rotating in the opposite direction at $\omega_o = 5.2$ rad/s. Determine the angular velocity of each of the rollers if they roll on the hubs without slipping. Express your answer in radians per second to three significant figures. Figure $\omega_r =$ 30.0 rad/s Incorrect; Try Again

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1. A person is standing at the top of a vertical cliff. They hold their arm straight out and release a 0.3 kg rock from rest. The bottom of the cliff is 50 meters below the point of release. They are on Earth, so the acceleration of the rock after being released will be approximately 9.8 $m/s^2$.

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Answer the following questions with your steps. You need to show you combine the phasors either in polar form or rectangular form for the specific question. For Q5, simply giving answers without justification won't be credited. Your drawing doesn't have to be in scale, but needs to be correct in quadrant. Q1: We have two phasors, A=5-7j, B=9+6j. What is A+B? What is A/B? Draw the sum and the ratio in the complex plane. Q2: We have two phasors, A=-5-3j, B=6<125°. What is A + B? What is A/B? Draw the sum and the ratio in the complex plane.

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Three contractors are bidding for a project, and the client has randomly selected one to receive the contract. Contractor 1 secretly asks the client to divulge only to him one of his competitors that will not receive the contract. The client is concerned that divulging this information would increase Contractor 1’s probability of receiving the contract from one-third to one-half. Is the client’s logic sound?

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Total fertility rate (live births per woman) y = -0.0204x + 4.3294 R² = 0.7767

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Question 2: Let X be a random variable with the following probability density function (pdf): $f_x(x) = egin{cases} rac{x}{2}, & 0 < x < 1 \ \frac{3}{4}, & 1 \le x \le 2 \ 0, & \text{otherwise} \end{cases}$ a. Write the cdf of X. b. Calculate E(X) and Var(X). c. Calculate P(X ? 1.2) and P(X ? 0.5) d. Calculate P(X ? 1.2|X ? 0.5)

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In a regulated natural monopoly, a marginal cost pricing rule maximizes producer surplus. economic profit. total costs. total surplus

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H?(s) + + + U(s) ? K ? G?(s) ? G?(s) Y(s) H?(s) U(s) H?(s) H?(s) + K ? G?(s) G?(s) H?(s) ? Y(s) + + U(s) ? G?(s) ? G?(s) G?(s) Y(s) H?(s) H?(s)

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Find the coefficient a of the term in the expansion of the binomial. Binomial $(9x - y)^{10}$ Term ax$^2$y$^8$ a =

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A. Identify the word/words that best describes the following statements. 1. These are the resources that are controlled by the entity arising from past transactions and events and there will be an expected economic benefit. 2. This represents the labor payments to employees of the company. 3. The account title for chairs and tables is 4. The account title for air conditioner is 5. Expenses that are paid in advance are 6. Revenue account for trading concern business enterprise is 7. The account title referring to purchase of merchandise which is intended for sale. 8. The account title referring to the account from the customer who issued a promissory note. 9. This represents expenses arising from light, water, and telephone expenses. 10. It is a list of account titles used by the business in journalizing its transactions.

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theresa h.