Numerade

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A projectile of mass $10.0 kg$ is traveling with a velocity of $40.0 m/s$ when it suddenly explodes into two fragments of masses $5.0 kg$ each. One of the fragment flies off at an angle $60.0^\circ$ with respect to the original direction of motion at a speed $v_1$ and the other one flies off at an angle $30.0^\circ$ with respect to the original direction of motion at a speed $v_2$. What is the velocity of the first fragment??

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A chemistry graduate student is studying the rate of this reaction: →2HIg+H2gI2g She fills a reaction vessel with HI and measures its concentration as the reaction proceeds: time (minutes) HI 0 0.100M 10. 0.0518M 20. 0.0349M 30. 0.0263M 40. 0.0212M

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Richard made plans to visit a friend in New York during the Memorial Day weekend. However, before the trip, his employer asked him if he would work overtime for 15 hours at \$34 per hour during the weekend. What will be the opportunity cost if Richard decides to visit his friend in New York?

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The volume of a cylinder is 6.32 cubic centimeters. What is the density of the cylinder if the mass is 43.4494 grams. Enter your answer in units of grams per milliliter.

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For $\int_0^2 \frac{t}{\sqrt{5 + t^2}} dt$, use a change of variables to evaluate the definite integral.

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Which of the following BEST describes the purpose of having an incident command system during times of a mass casualty incident ? To minimize the impact on the receiving hospitals . To allow for the cooperation of all responding agencies To qualify for federal and state funding for terrorism response . To control , direct , and coordinate emergency response resources .

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The amount of money, A(t), in a savings account that pays 5% interest, compounded quarterly for t years, with an initial investment of P dollars, is given by $A(t) = P\left(1 + \frac{0.05}{4}\right)^{4t}$. If $17,000 is invested at 5%, compounded quarterly, how much will the investment be worth after 4 years? How much money will there be in the account at the end of 4 years? $\boxed{\text{ }}$ (Round to the nearest cent as needed.)

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3. A firm in a perfectly competitive market will produce no output in the short run if the price is below $20 but will produce if the price is above $20. The smallest quantity they will produce in the short run is 6. Firms will earn 0 economic profit if the price is $447.5 and its profit maximizing quantity is 21 at that price. The firm's fixed cost is $6615. Assume the good can be produced in continuous quantities. Draw a picture of the MC, ATC, and AVC for this firm specifically labeling the values for each of these costs at $q = 21$ and $q = 6$. Round any decimal answers to 1 place. The diagram does not need to be to scale but needs the curves to exhibit the correct qualities. (2 points)

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Using straight-line approximation to draw the Bode diagram for the following transfer function \begin{equation} G(s) = \frac{160}{s(s+2)(s+8)} \end{equation}

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HW4-B Numbers Comparison Collapse context Write a C++ program that reads 10 integer numbers and calculates the second largest number. I/O Program Input: 10 integer numbers Program Output: The second largest number among the entered numbers Sample Test Case 0 Input: 5 100 33 16 5 8 13 44 12 23 Output: 44

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charles e.