Questions in Grade High-school

Questions in Grade High-school

[Done] (i) Pick up any one Mathematics topic from the options below: (a) Coordinate Geometry (b) Trigonometry (ii) Collect any data/information (e.g., tribes, languages, food, vegetation, animals, etc.) from Lakshadweep or Andaman & Nicobar Islands and represent it on the graph using coordinate plane or find height and distance using trigonometry. (iii) Also give a brief history/interesting facts about the information collected.

[Done] Which of the following is an example of a commutative property of addition? A. 6 + (8 + 5) = (6 + 8) + 5 B. 10 + 3 = 3 + 10 C. 12 + (7 + 8) D. 2

[Done] What is the exact distance between the points $(4,-2)$ and $(-6,4)$? Select the correct answer. $4 \sqrt{10}$ $10 \sqrt{6}$ $2 \sqrt{34}$ $2 \sqrt{26}$

[Done] The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6 movie tickets is $80. The cost of a bucket of popcorn is $8. Which equation represents the relationship between $y$, the total cost of the popcorn and movie tickets, and $x$, the number of movie tickets that are purchased? A. $y=12x+8$ B. $y=12x-8$ C. $y=14x+8$ D. $y=14x-8

[Done] Practice Exercise 2. Three isotopes of silicon occur in nature: 28Si (92.23%), atomic mass 27.97693 amu; 29Si (4.68%), atomic mass 28.97649 amu; and 30Si (3.09%), atomic mass 29.97377 amu. Calculate the atomic weight of silicon.

[Done] Which statement describes the behavior of the function [tex]f(x)=\frac{2 x}{1-x^2}[/tex]? A. The graph approaches -2 as [tex]x[/tex] approaches infinity. B. The graph approaches 0 as [tex]x[/tex] approaches infinity. C. The graph approaches 1 as [tex]x[/tex] approaches infinity. D. The graph approaches 2 as [tex]x[/tex] approaches infinity.

[Done] Two identical cones are inscribed in a cylinder. Which equation represents the volume of each cone? A. [tex]$V=\frac{\pi r^2 H}{2}$[/tex] B. [tex]$V=\frac{\pi r^2 H}{4}$[/tex] C. [tex]$V=\frac{\pi r^2 H}{3}$[/tex] D. [tex]$V=\frac{\pi r^2 H}{6}$[/tex]

[Done] Clayton transferred a balance of $4125 to a new credit card at the beginning of the year. The card offered an introductory APR of 7.9% for the first 5 months and a standard APR of 25.7% thereafter. If the card compounds interest monthly, which of these expressions represents Clayton's balance at the end of the year? (Assume that Clayton will make no payments or new purchases during the year, and ignore any possible late payment fees.) A. ($4125)(1+\frac{0.079}{5})^{12}(1+\frac{0.257}{7})^{12} B. ($4125)(1+\frac{0.079}{12})^5(1+\frac{0.257}{12})^7 C. ($4125)(1+\frac{0.079}{5})^5(1+\frac{0.257}{7})^7 D. ($4125)(1+\frac{0.079}{12})^{12}(1+\frac{0.257}{12})^{12}

[Done] $\lim _{x \rightarrow \frac{\pi}{2}} \frac{1-\sin x}{\cos x}$

[Done] Define a Deliverable class with attributes name (String), type (String), and price (double), including a constructor to initialize them. Define an abstract Vehicle class with an attribute routingStrategy of type RoutingStrategy and a deliver method that uses the routingStrategy to deliver a Deliverable.