Numerade

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Give the complete ionic equation for the reaction (if any) that occurs when aqueous solutions of K2CO3 and HI are mixed Question 3 options: 2 H+(aq) + CO32-(aq) → H2O(l) + CO2(g) 2 K+(aq) + CO32-(aq) + 2 H+(aq) + 2 I-(aq) → H2CO3(s) + 2 K+(aq) + 2 I-(aq) 2 K+(aq) + CO32-(aq) + 2 H+(aq) + 2 I-(aq) → H2O(l) + CO2(g) + 2 K+(aq) + 2 I-(aq) 2 K+(aq) + CO32-(aq) + 2 H+(aq) + 2 I-(aq) → H2CO3(s) + 2 KI(s) No reaction occurs.

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In a well-shuffled deck of 52 cards, all cards are equally likely to be selected when a card is chosen at random from the deck. What is the probability that a randomly chosen card is an ace? 13/52. 4/52. 1/52. 26/52.

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If $f(x) = 8x^3$ and $g(x) = x^{1/3}$ are two function then $f \circ g$ and $g \circ f$ are $6x$ and $4x$. $4x$ and $2x$. none of these. $8x$ and $2x$.

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what mass of melamine, will be obtained from 165.5 kg of urea, if the yield of the overall reaction is 74%

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Which other drug is usually mixed with fentanyl that is illegal

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Write the equation of the line that passes through (-7, -4) and (-6, -2) in slope-intercept form. y = 2x + 10 y = -2x - 14 y = 2x - 14 y = \frac{1}{2}x + 1

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Create a binary tree from the following array of values. Draw the tree: 11 17 21 42 66 78 96. What is the time complexity of inserting an element into a BST? If a set of elements is inserted into a BST in two different orders: - Will the two corresponding BSTs look the same? - Will the inorder traversal be the same? - Will the postorder traversal be the same? - Will the preorder traversal be the same? JAVA

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"In order to identify the critical frequency of an observed waveform for a moving part, which technique can be used? Signal Averaging Time Period Phase Shift Fast-Fourier Transform

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Draw a State Transition Diagram for the following system and Draw a State Table for at least two states. In a library system, a member can provide information about a book and if the book is available, they can get it issued otherwise they can reserve the book. In reservation, once the book becomes available, the member can get it issued. After the book is issued, there is a time limit to return the issued book, if the book is not returned in time, the member is fined.

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b) A Surveyor wants to put a fence around a rectangalar block of arra (see diagram below) Only three sides must be fenced as a rock wall will form the fourth side. She has 420 metres of fencing wire. Rock Wall y 0 Write an equation to consider the three sides of the perimeter needing fencing with 420 metres of fencing wire (5 marks) ii) Write an equation for the area with only side x (5 marks) ii) Find the maximum area possible with 420 metres of fencing wire. (10 marks) Question 3 [50 marks] a) A function is given below with unknown coefficients B and C $f(x) = 2x^3 + 3x^2 - Bx + C$ i) Find the derivative function $f'(x)$. (5 marks) ii) If the x coordinates of the turning points are: x = -2 and x = 1, find the value of unknown coefficient B in the equation. (10 marks) iii) If the x and y coordinates of the turning points are: (-2, 21) and (1, -6), find the value of unknown coefficient C in the equation (10 marks) b) In a laboratory experiment on rectilinear motion, a toy car travels along a flet poth and its motion is monitored. i) If the car is accelerating at 6 cm/s$^2$, determine an equation for the velocity at this time? The initial velocity of the car is 10 cm/s. Due date: 21$^{st}$ October 2022 ii) Determine an equation for the distance travelled by this car as a function of time? (10 marks) iii) Calculate the distance travelled by the car between 0 and 5 seconds. (10 marks)

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michael n.