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61. a) Determinar el gasto en los tubos del sis- tema cuya geometría se muestra muy cla- ramente en la figura siguiente. 30 m 300 m 450 mm 21 m 300 m 450 mm 21 m B 600 m f = 0.03 450 mm f = 0.03 900 m 450 mm f = 0.03 12 m A 300 m 600 mm f = 0.025 1 Figura del problema 61.

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Which combination of reagents is effective in generating sodium propynide, CH3C≡CNa? Group of answer choices CH3C≡CH + C2H5Na Two of these choices. CH3C≡CH + NaH All of these choices. CH3C≡CH + (CH3)2CHONa

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The comparative balance sheets of Sweet Inc. at the beginning and the end of the year 2020 are as follows. SWEET INC. BALANCE SHEETS Dec. 31, 2020 Jan. 1, 2020 Inc./Dec. Assets Cash $ 46,500 $ 14,500 $32,000 Inc. Accounts receivable 94,140 89,640 4,500 Inc. Equipment 42,140 23,640 18,500 Inc. Less: Accumulated Depreciation-Equipment 20,140 11,000 9,140 Inc. Total $162,640 $116,780 Liabilities and Stockholders' Equity Accounts payable $ 23,140 $ 16,640 6,500 Inc. Common stock 101,500 81,640 19.860 Inc. Retained earnings 38,000 18,500 19,500 Inc. Total $162,640 $116,780 Net income of $47,140 was reported, and dividends of $27,640 were paid in 2020. New equipment was purchased and none was sold.

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Java Keep it simple Some websites impose certain rules for passwords. Write a method that checks whether a string is a valid password. The password rules are as follows: • A password must have at least eight characters. • A password must contain only letters and digits. • A password must contain at least two digits. Write a method isValidPassword that accepts a string and returns a boolean.

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QUESTION 1 1.1 Solve for x: 1.1.1 x\textsuperscript{2}-7x = 8 1.1.2 2x\textsuperscript{2}-3x-8 (correct to TWO decimal places) 1.1.3 5x\textsuperscript{2} ? 0 1.1.4 $\sqrt{2x-1}-2x-1\textsuperscript{\frac{1}{2}} = -2$ 1.2 Solve for x and y simultaneously: 2x\textsuperscript{3}+ y to 2xy +7 y\textsuperscript{2} + 4x\textsuperscript{2} 1.3 Consider the product 1x 2x3x4x5x6x... x 30: Determine the largest value of k so that 3\textsuperscript{k} is a factor of the product. 1.4 The roots of a quadratic equation are given as follows: x= $\frac{p-9}{5}$ Determine the value(s) of p for which the equation will have non-real roots. QUESTION 2 2.1 Given is the quadratic pattern: 1; 10; 23; 40; x; ... 2.1.1 Determine the value of x. 2.1.2 Determine the formula for the nth term of the pattern. 2.1.3 Determine the term in the pattern that is equal to 1765. 2.1.4 Which TWO consecutive terms in the quadratic number pattern have a first difference of 205?

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Reducing carbon dioxide (COz) emission is required to solve the global warming problem. Referring to the fundamental balance between the economy and the environment, explain all fundamental ways of reducing COz emission.

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Question 8 What is necessary for oxygen transport in the blood via its role in the oxygen transport protein hemoglobin? O Vitamin C O Magnesium O Iron O Vitamin D

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MAT 225: Linear Algebra Name: Emmance Espinoza 1.1 Systems of Linear Equations Solve each system of linear equations using Gaussian or Gauss-Jordan elimination. -7x + 7y = 35 7x - 7y = -35 2x + 3z = 25 7x - y - 7z = 34 x - 5y - 7z = -18 -8x - 2y - 2z = -10 7x + 3y + z = 0 5x + 7y = -34 Write the augmented matrix for each system of linear equations. 2x + y = -6 2x - y - 5z = -20 4x - 5y - z = -28 6x - 2y - 6z = 4 -4x - 7y + 7z = 23 -4y + z = 11 Write the system of linear equations for each augmented matrix. [[-5, 1, 5, 24], [8, 0, -5, -39], [-6, -1, -1, 21]] [[1, 0, 4, -4], [-3, -3, 5, 8], [-1, -7, 7, -34]] Find the reduced row-echelon form for each system of linear equations. 6x - 8y - 6z = 34 -6y + z = -5 3x + 5y + 5z = 34 -5y + z = 2 -8x - 6y - z = 35 5x - 5y + 7z = 14

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Macmillan Learning T= A uniform thin rod of length 0.818 m is hung from a horizontal nail passing through a small hole in the rod located 0.029 m from the rod's end. When the rod is set swinging about the nail at small amplitude, what is the period T of oscillation?

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a) For m, n ? 1, let T(m, n) denote the number of surjective functions f: {1,...,m} ? {1,...,n}. Using a combinatorial argument prove that T(m, n) satisfies the following recurrence relation for all m, n ? 2. T(m,n) = n[T(m-1,n-1) + T(m-1,n)] b) For m, n ? 0, let S(m,n) denote the Stirling number of the second type, i.e., the number of ways to distribute m distinct objects to n identical boxes so that no box is left empty. By convention, we take S(0,0) = 1, S(m, 0) = S(0,n) = 0 for m, n ? 1. Let $F_n(x)$ denote the generating function defined by $F_n(x) = \sum_{m=0}^\infty S(m, n)x^m$. Find a formula for $F_n(x)$ for every n ? 0.

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juan manuel c.