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Questions in mathematics

📝 Answered - In which quadrant is the number $-14-5 i$ located on the complex plane? A. I B. II C. III D. IV

📝 Answered - Explain how to solve the problem below. In your response, you must analyze the given information, discuss a strategy or plan to solve the problem, determine and justify a solution, and evaluate the reasonableness of the solution. Chad casts a shadow that is 14.3 feet long. The straight-line distance from the top of Chad's head to the end of the shadow creates a [tex]$23^{\circ}$[/tex] angle with the ground. How tall is Chad, to the nearest tenth of a foot?

📝 Answered - Find the difference. $3 x^2 y-x^2 y$ A. 2 B. $2 x^2 y$ C. $3 x^2 y$ D. $4 x^2 y

📝 Answered - Which properties are present in a table that represents an exponential function in the form [tex]$y=b^x$[/tex] when [tex]$b\ \textgreater \ 1$[/tex]? I. As the [tex]$x$[/tex]-values increase, the [tex]$y$[/tex]-values increase. II. The point [tex]$(1,0)$[/tex] exists in the table. III. As the [tex]$x$[/tex]-values increase, the [tex]$y$[/tex]-values decrease. IV. As the [tex]$x$[/tex]-values decrease, the [tex]$y$[/tex]-values decrease, approaching a singular value. A. I and IV B. I and II C. II and III D. III only

📝 Answered - A direct variation function contains the points $(-8,-6)$ and $(12,9)$. Which equation represents the function? A. $y=-\frac{4}{3} x$ B. $y=-\frac{3}{4} x$ C. $y=\frac{3}{4} x$ D. $y=\frac{4}{3} x$

📝 Answered - An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

📝 Answered - Which graph represents the equation $y=-(x-1)^2+1$?

📝 Answered - By rounding to 1 significant figure, estimate the answers to these questions: a) $12 \times 89$ b) $157 \times 189$ c) $687 \times 894$

📝 Answered - Find the following values (while justifying all steps): (a) [tex]$\cos \left(765^{\circ}\right)$[/tex] (b) [tex]$\cot \left(-\frac{7 \pi}{3}\right)$[/tex]

📝 Answered - Factor $6 x^4-5 x^2+12 x^2-10$ by grouping. What is the resulting expression? $(6 x+5)(x^2-2)$ $(6 x-5)(x^2+2)$ $(6 x^2+5)(x^2-2)$ $(6 x^2-5)(x^2+2)$