A small bullet of mass m=0.24kg and speed v=17.8m/s embeds in a block of mass M=0.75kg suspended by a massless string of length L, after a collision as shown in the figure. If the bullet will appear on the other side of the block M with a speed v'=5m/s, instead of being embedded in it, find the maximum height the block M can reach. (Take g=9.81 m/s²). Express your answer using two decimal places.

Read the case of Youngstown Sheet and Tube Company v. Sawyer and answer the following questions. Be precise and articulate. Use proper grammar and complete sentences. There is no word count for this part but BE THOROUGH IN YOUR ANSWERS. CHECK TECHNICAL WRITING ELEMENTS, too. USE COMPLETE SENTENCES.

• What was the constitutional question in Youngstown Sheet and Tube Company v. Sawyer (1952)?
• How did the Court rule?
• How does this case illustrate the constitutional principles of separation of powers?

According to a report from Microsoft, 24% of PCs worldwide are not adequately protected by antivirus software.19 Suppose 200 PCs from around the world are selected at random.
a. Find the distribution of the sample proportion of PCs that
are not adequately protected.
b. Find the probability that the sample proportion is less
than 0.20.
c. Find the probability that the sample proportion is more
than 0.29.
d. Find a value v such that the probability the sample
proportion is less than v is 0.01.

You have a 40- lightbulb and a 100-W bulb.

1. Find the resistances of the 40-W bulb. Take that ΔV = 120 V.

2. Find the resistances of the 100-W bulb. Take that ΔV = 120 V.

3. If the two bulbs are connected separately, which of them will be brighter?

4. If the two bulbs are connected in series to a battery source, which of them will be brighter?

5. If the two bulbs are connected in parallel to a battery source, which of them will be brighter?

1. (a) What drives current? (b) What impedes current? (c) How does Ohm’s Law relate these quantities?
2. Why isn’t Ohm’s Law universally valid?
3. What is the resistance of an automobile headlight through which 3.50 A flows when 12.0 V is applied to it?
4. If a battery supplies energy to a circuit, what does the resistor do with that energy?
5. Calculate the effective resistance of a pocket calculator that has a 6.2 V battery and through which 0.20 mA flows.

IV) Many enzymes obey simple Michaelis-Menten kinetics, which are summarized
by the equation:
rate = (V max [S])/([S]+K m ); where V max = maximum velocity, [S] = concentration
of substrate; and K m = the Michaelis constant.
It is instructive to plug in a few values of [S] into the equation to see how rate is
affected. What are the rates for [S] equal to zero, equal to K m , and equal to infinite
concentration? Show all work.

using the Oyez audio file and transcript (Links to an external site.)Links to an external site. (go to "Opinion Announcement," which is a seven minute audio clip on the court's decision on the Snyder v. Phelps case), briefly summarize the facts of the Snyder v. Phelps (2011) case. By using facts presented, clearly explain why the Supreme Court ruled in favor of the Westboro Baptist Church. Then, tell us why you agree/disagree with the Court’s decision.

Consider the following code:

values = [2, 5, 8, 12, 15]
values2 = {v % 3 for v in values}

What will be the length of values2?

Consider the following code:

values = ["moose", "giraffe", "antelope", "tortoise", "chinchilla"]
values2 = [len(s) for s in values if "a" in s]

What will be the value of values2[1]?

Consider the following code:

numbers = [1, 2, 7, 9, 13]
numbers2 = [n // 2 for n in numbers]

What will be the value of numbers2[2]?

Suppose that k is a field which is not algebraically closed. a. Show that if I ⊂ k[x1, . . . , xn ] is maximal, then V(I) is either empty or a point in kn . Hint: Examine the proof of Theorem 11. b. Show that there exists a maximal ideal I in k[x1, . . . , xn ] for which V(I) = ∅. Hint: See the previous exercise. c. Conclude that if k is not algebraically closed, there is always a maximal ideal of k[x1, . . . , xn ] which is not of the form <x1 − a1, . . . , xn − an >

Scenario: Pacific Imaging Center is a small imaging center with two analogue film or screen units. As the director of the center, Juanita Hernandez has been asked to determine if the current staffing is correct for her place or should she add another technologist. She currently uses 2 mammography units, 2 technologists, and 1 aide. She has analyzed the current costs and determined the following:

Reimbursement per screen $75 Equipment costs per month ($800 per machine) $1,600 Technologists costs per mammography $20 Technologists aide per mammography $4 Variable cost per mammography $10 Equipment maintenance per month per machine ($350 per machine) $700

A. Solve for monthly volume to break even. B. Solve for monthly volume needed to break even at desired $5,000 per month profit level. C. Solve for volume needed to break even at new reimbursement of $112 per screen and no profit. D. Solve for volume needed to break even with an additional technologist

Expert Answer