Numerade

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Consider the line with the equation: y=-(1)/(5)x-11 Give the equation of the line parallel to Line 1 which passes through (2,-9) : ◻ Give the equation of the line perpendicular to Line 1 which passes through (2,-9) : ◻

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In the 1H NMR spectrum of 3-methylpropane, the methane proton (itlazied, red font) is split into what type of spin-spin splitting pattern?

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Q2 Conditional Probability: Box and Coin 2 Points A box contains three coins with a head on each side, four coins with a tail on each side, and two fair coins. If one of these nine coins is selected at random and tossed once, what is the probability that a head will be obtained? Please select file(s) Select file(s) Q3 Conditional Probability: Cards 2 Points Suppose that a box contains one blue card and four red cards, which are labeled A, B, C, and D. Suppose also that two of these five cards are selected at random, without replacement. Q3.1 1 Point If it is known that card A has been selected, what is the probability that both cards are red? Please select file(s) Select file(s) Save Answer Q3.2 1 Point If it is known that at least one red card has been selected, what is the probability that both cards are red?

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Question 13 (1 point) Spliceosomes are structures involved in mRNA processing. True False

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Which of the following modes enables you to draw more than one of the same shape? Group of answer choices Repeat Shape Duplicate Shape Copy Shape Lock Drawing

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4. (a) What crystalline structure should a material have for liquid nitrogen containers? Why? (4 marks) (b) Why do we use fracture toughness instead of stress to predict the crack growth? (3 marks) (c) A thin sheet of maraging steel has a tensile strength of 1950 MPa. Calculate the percentage reduction in strength due to the presence of a central crack in the sheet, which is 4 mm long and orientated perpendicular to the stress direction. For this steel, E can be taken as 200 GPa, the energy of fracture surface as 2 J/m² and the work of plastic deformation of each crack tip is $2 \times 10^4 J/m^2$. (6 marks) (d) A cylindrical pressure vessel is made of a steel with fracture toughness of $K_{Ic} = 55$ $MPa \sqrt{m}$ to contain a fluid at a pressure of 2.0 MPa. The diameter of the vessel is 500 mm and the wall thickness is 8 mm. Assume a crack of length 2c and depth a that is propagating from the inside to the outside of the wall (where c = a). Assume a factor of safety value of 3.0. Is this steel appropriate for the pressure vessel? Why? (7 marks) (e) Name five non-destructive testing techniques used in the field. (5 marks)

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Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding series expansion for the indefinite integral of f. If $f(x) = \frac{-6x^5}{(1+x^6)^2} = \sum_{n=0}^{\infty}(-1)^n 6nx^{6n-1}$ $\int_0^x f(t)dt = \sum_{n=1}^{\infty}$

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$T = 2\pi \sqrt{\frac{r^3}{Gm}}$ $r = \frac{(\frac{T}{\pi})^{\frac{2}{3}}\sqrt[3]{2mG}}{2}$

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For each positive integer n, let P(n) be the following inequality. 2^n < (n + 1)! (a) What is P(2)? O 4 < 2 O 4 < (n + 2)! O 4 < 4 O 2^n < (n + 2)! O 4 < 6 Is P(2) true? O Yes O No (b) What is P(k)? O 2^k < k! O 2^k < (k + 1)! O k^2 < k! O k^2 < (k + 1)! O 2^n < (n + k)! (c) What is P(k + 1)? O 2^{k + 1} < (k + 2)! O (k + 1)^2 < (k + 1)! O 2^n + 1 < (n + k + 1)! O 2^{k + 1} < (k + 1)! O (k + 1)^2 < (k + 2)! (d) In a proof by mathematical induction that this inequality holds for every integer n ? 2, what must be shown in the inductive step? O We need to show that if k is any integer with k ? 2 and if P(k) is true, then P(k + 1) is also true. O We need to show that if k is any integer with k ? 2 and if P(k) is true, then P(k + 1) is false. O We need to show that if k is any integer with k ? 2 and if P(k) is false, then P(k + 1) is true. O We need to show that if k is any integer with k ? 2 and if P(k) is false, then P(k + 1) is also false.

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1. (8 points) Trace the code below in the given memory diagram. Since PDF files do not allow strikethroughs, separate words that are replaced with commas and put the new word on the right. For example, if "a" were replaced by "B" in the heap, the table would look as follows: heap Identifier Address Contents 500 "a", "B" ArrayList<String> list = new ArrayList<String>(12); list.add("Anna"); list.add("Jazz"); list.add("Raven"); list.remove(2); list.add("Abby"); list.add(1, "Cal"); list.add("Max"); list.add("Diamond"); list.remove("Jazz"); list.set(4, "Sam"); list.add(3, "Maggie"); main stack frame Identifier Address Contents 100 101 102 103 heap Identifier Address Contents 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 1013 1014 1015

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patrick a.