Numerade

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Question 14 (Mandatory) (1 point) The total number of atoms in 3.75 mol of ammonium nitrate, NH$_4$NO$_3$, is a) $2.03 \times 10^{25}$ atoms b) $1.12 \times 10^{25}$ atoms c) $2.58 \times 10^{25}$ atoms d) $1.58 \times 10^{25}$ atoms e) $3.58 \times 10^{25}$ atoms

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___ voting employs a series of head-to-head matchups between candidates or policy proposals

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1. Recall that if $m \in \mathbb{N}$ is a natural number, then we define $m!$ (read $m$-factorial) by $m! = m \times (m - 1) \times \dots \times 3 \times 2 \times 1$. By convention, $0! = 1$. Also recall that if $n \in \mathbb{N}$ is a natural number and $k \in \{0, 1, \dots, n\}$, then we define $\binom{n}{k} = \frac{n!}{k!(n - k)!}$. Prove the following conjecture by mathematical induction. Conjecture. If $n \in \mathbb{N}$ is a natural number with $n \ge 5$, then $\binom{2n}{n} < 2^{2n - 2}$.

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Question Translate the English phrase into an algebraic expression: the sum of 13z and 3z. Provide your answer below:

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Suppose Piranha.com sells 3,500 books on account for $17 each (cost of these books is $35,700) on October 10 to The Textbook Store. Several books were slightly damaged in shipment, so Piranha.com granted a sales allowance of $1,000 to The Textbook Store on October 13. On October 25, The Textbook Store paid the balance due. (Assume both companies use a perpetual inventory system.) Read the requirements. Requirement 1. Journalize The Textbook Store's October transactions. (Record debits first, then credits. Exclude explanations from journal entries.) Oct. 10: Piranha.com sells 3,500 books on account for $17 each on October 10 to The Textbook Store. Record the transaction on the books of The Textbook Store. Date Oct. 10 Accounts Debit Credit

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The single-phase full-wave bridge rectifier of figure 3 has an RL-source load with $R = 150\Omega$, $L = 250\mu H$, and $V_{dc} = 10V$. The ac source is 120 V rms at 60 Hz. Assume continuous conduction mode. Figure 3: Full-wave rectifier with an inductive DC load. 2. The power absorbed by the resistor (use the five first currents). 3. The power factor.

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(a) In a region of space, a particle with mass 'm' and zero energy has a time-independent wave function $\psi(x) = Ax^2e^{-x^2/L^2}$, where A and L are constants. Determine the potential energy U(x) of the particle. (b) The permeability of a transformer core made up of a soft magnetic material is 1.2 x 10^-2 H/m. Determine the relative permeability of the core.

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6. How can you obtain a high quality digital audio file? a. Compress the audio using the FLAC codec b. Remove parts of the audio that cannot be heard by most humans c. Choose a low bit rate d. Sample the audio at 30 kHz 7. NZ average internet speed is 23.7 Mbps. How long does it take to download an 8.89 GB movie? a. 20 minutes b. 30 minutes c. 40 minutes d. 50 minutes 8. What do you do when you want to stream a movie using the HTML 5 video tag? a. Use Apple-HLS protocol b. Play the movie once it has finished downloading the file c. Ensure that the streaming protocols resends missing packets d. Use MPEG-DASH protocol 9. What is the main advantage of full streaming over pseudo streaming? a. Can play the file before it is fully transferred b. The whole file is not stored in the client's computer c. Can jump ahead to any part of the file d. Guaranteed not to lose parts of the file 10. How much hard drive space is required to store an uncompressed 20 x 30 pixels colour image using 8 bits colour depth with no additional file format or header information? a. 0.6 kB b. 1.8 kB c. 4.8 kB d. 14.4 kB

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A producer can produce products X and Y separately or simultaneously. The cost of production of product X is C = 10 + qx and the cost of producing Y is C = 20 + qy. However, if the firm produces X and Y simultaneously, the production cost equals C = 40 + qx + qy. Does this firm experience economies of scope? Estimate the measure of economies of scope and explain.

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Write a function called "doubleElement" that takes a list as input. As output, this function should return the indices of matching elements (which will be two integers, if they exist) and return None, None otherwise. If the list contains more than 2 matches, then only the first two will be returned. For example, doubleElement([1,2,3]) would return None, None. doubleElement([1,2,3,1]) would return 0,3. doubleElement([1,1,1,1]) will return 0,1. Even though there are more matching positions, only the 0th and 1st indices are returned. Note, you can easily have a function that returns two values in Python (the below code does not have to appear in your program), i.e. if some condition: return index 1, index 2 else: return None, None Please use a for or while loop for this, and a detailed explanation of each line or lines would be greatly appreciated.

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virginia r.