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javier mosquera

javier m.

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0.33 points What volume of aqueous 0.100 M Ba(ClO4)2 is needed to obtain 500 mL 0.010M solution? 0.500 mL 0.0200 mL 50.0 mL 25.0 mL 10.0 mL

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The amountbof sodium consumed by americans is normally distributed with a mean of 18.52 grams and standard deviation of 2.74 grams what is the probability that less than 11 grams of sodium are consumed by men

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Provide an appropriate response. Solve: \frac{4x}{9} + \frac{5x}{6} = -\frac{3x}{2} + \frac{5}{3}

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There is a box with a capacity of 5000 grams. The box may already contain some items, reducing its capacity. You'll be adding apples to that box until it is full. Write a function: class Solution { public int solution(int[] A); } that, given a zero-indexed array A consisting of N integers, representing the weight of items already in the box and each apple's weight, returns the maximum number of apples that could fit in the box, without exceeding its capacity. The input array consists of an integer K as the first element, representing the sum of the weights of items already contained in the box followed by zero or more integers representing individual apple weights. You can assume that A contains between 1 and 100 elements and that every number in it is >=0 and <= 5000. Note that an apple can weigh 0 grams, and that you should maximize the number of the apples in the box, not their total weight. For example, for an input of: [4650, 150, 150, 150] You should return 2, as the box already contains K=4650 grams of items, so only 2 more apples of weight 150 would fit (bringing the total weight to 4950, still below the capacity). For an input of: [4850, 100, 30, 30, 100, 50, 100]

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If p is true and a q is false, find the truth value of ~q True or false ??

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Rewriting a linear equation in the Ax + By = C form. Use integers for A, B, and C. y - 2 = 4(x - 6)

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Text: What is the period of the functions: f(x) = sin(x) and f(x) = cos(x) (3π)/(2), 2π, π, (π)/(2)

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5. (Ogden's Lemma.) There is a stronger version of the CFL pumping lemma known as Ogden's lemma. It differs from the pumping lemma by allowing us to focus on any $p$ "distinguished" positions of a string $z$ and guaranteeing that the strings to be pumped have between 1 and $p$ distinguished positions. The formal statement of Ogden's lemma is: Let $L$ be a context-free language. Then there is a constant $p$ such that for any string $z$ in $L$ with at least $p$ characters, we can mark any $p$ or more positions in $z$ to be distinguished, and then $z$ can be written as $z = uvwxy$, satisfying the following conditions: (i) $vwz$ has at most $p$ distinguished positions. (ii) $vx$ has at least one distinguished position. (iii) For all $i \ge 0$, $uv^ixy$ is in $L$. Prove Ogden's lemma.

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Initial Alternative Incremental IRR (%), when compared with alternative Alternative investment IRR (%) (TL) A B C D E A 25,000 9.6 --- 28.9 19.7 36.7 25.5 B 35,000 15.1 --- 1.5 39.8 24.7 C 40,000 13.4 --- 49.4 28.0 D 60,000 25.4 --- -0.6 E 75,000 20.2 --- Examples of how to read this table: the IRR of project A is 9.6%, and the IRR of the incremental investment project when project A is compared to project B is 28.9%. 1) [8 points] If the alternatives are independent and the MARR is 18%, which alternative(s) should be selected? Explain your answer. 2) [22 points] If the alternatives are mutually exclusive and the MARR is 15% per year, which alternative should be selected? Explain your answer. For each comparison, also show the corresponding figure where you can compare the alternatives (i.e., a figure with both alternatives at the same time).

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1. (a) Calculate the principal moment of inertia $I_3$ for a homogenous cone of mass $M$ whose height is $h$ and whose half-angle is $\alpha$. Choose the $x_3$ axis along the axis of symmetry of the cone. Hint: the density is given by $\rho = \frac{3M}{\pi h^3 \tan^2 \alpha}$. Also, you can use the known result for the moment of inertia of a disk about an axis perpendicular to the disk running through the center of the disk to make the calculation very simple. Express your answer as a function of $h$, $\alpha$, and $M$. 1. (b) Calculate the principal moment of inertia $I_1 = I_2$. Choose the origin at the apex of the cone. Express your answer as a function of $h$, $\alpha$, and $M$. Hint: the density is given by $\rho = \frac{3M}{\pi h^3 \tan^2 \alpha}$. Also, use the fact that $I_1 + I_2 = 2I_1 = \int d^3r \rho(\vec{r})(x^2 + y^2 + 2z^2) =$ $I_3 + 2 \int d^3r \rho(\vec{r}) z^2.$

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