Numerade

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Cannonball dynamics: Assume the ground that the cannon sits on is both flat and level. (b) The castle gate is 4 metres tall and 120 metres from the mouth of the cannon. The men firing at the gate expect that the cannonballs would hit the gate roughly halfway up from the ground (say between 1.5 metres and 2.5 metres high). Are they correct? Explain your reasoning. [2] (c). What is the maximum height reached by the cannonball during its trajectory? Give your answer correct to 2 decimal places.

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Find the maximum value of $f(x) = 1 + \frac{1}{7} + \frac{1}{49} + \frac{1}{343} + \frac{1}{2401} + \frac{1}{16807}$ for $x > 0$

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At a certain intersection, the light for eastbound traffic is red for 25 seconds, yellow for 4 seconds, and green for 35 seconds. Using the binomial distribution, what is the probability that out of the next 10 eastbound cars that arrive randomly at the light exactly 4 will be stopped by a red light? Round to the nearest hundredth.

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Which of the following is not an abnormality found in the brain of schizophrenic patients? a. Cerebral atrophy b. Increased connectivity between brain regions c. Disorganized hippocampal cells d. Ventricle enlargement

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2. A famous thought problem in special relativity is the rocket paradox: Two rockets each of 300 m rest length are passing head-on each with a speed of 0.866c. Observer O (see diagram) has a gun in the tail of his rocket pointing perpendicular to the direction of relative motion. You may assume there is basically no gap between the rockets as they pass each other. He fires the gun when points a and a' coincide. In O's frame, the other rocket is Lorentz contracted, so O expects his bullet to miss. But in the frame of the other rocket's observer O', it is O's rocket that is Lorentz-contracted and so expects that her ship will be hit by O's bullet. a. What is the relative speed of each ship to the other? (Hint: it is not 0.866c-(-0.866c) = 1.732c) b. Does the bullet actually hit or miss the ship of O'? Explain your answer, including what the problem with the language of the problem setup is.

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Andrew decides to paint his garage. His service as a house painter is not included in the GDP of that year True False Uncertain Need more information

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What is a market risk premium? O The market's expected rate of return above the rate of inflation O The reduction in the market's expected rate of return due to it being riskier than a risk-free asset O The market's rate of return above that of the risk-free rate O The expected rate of return on a risk-free asset

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Problem 1. Find the function $u(x, t)$ ($x \in \mathbb{R}, t \ge 0$) which is the solution of the Initial Value Problem (IVP)\\ $\frac{\partial u}{\partial t} + x^3 \frac{\partial u}{\partial x} = 0;$\\ $u(x, t)|_{t=0} = x^2.$

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Write a program that accepts three inputs in the following order: • Bidder Name (string) • Bidder Age (integer) • Bid Amount (float) Assume no characters other than letters or numbers are entered, and do not display a message with the inputs! Your program should then output the results in the following format. For this example, treat the inputs as John, 24, and 16.93. The bidder John is 24 years old and placed a bid of $16.93. Note: the dollar amount must be explicitly restricted to only 2 decimal places. LAB ACTIVITY 6.1.1: Input & Output main.py 1 name=input() 2 age=int(input()) 3 amount=float(input()) 4 round(amount, 2) 5 6 print('The bidder', name, 'is', age, 'years old and placed a bid of $', amount, '.') 0/2

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Econ 103 Assignment 02 Consider the following Supply and Demand functions for wireless speakers: P = 500 - 20Q P = 5Q + 100 1. The equilibrium market price is: [0.5] 2. The equilibrium market Q exchanged is: [0.5] 3. The government imposes a tax of $25 per speaker. The new supply function will be given as: [1] 4. The new Quantity exchanged under this tax will be: [0.5] 5. The new consumer price will be: [0.5] 6. The new price producers receive will be: [s0] 7. The total tax revenue will be: [1] 8. Based on this, we would expect a: [0.5] (greater than or less than) 9. The elasticity of demand can be calculated as: (remember to utilize the averages) [1] 10. The elasticity of supply can be calculated as: (remember to utilize the averages) [1] Graph [3]: a. Utilize the back page of this sheet to draw a large graph (At least 1/3 of the page).

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jose manuel m.