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Questions in Grade College

[Free] Is the statement [tex]$\lceil x\rceil=\lfloor x+1\rfloor$[/tex] true for all real numbers? Explain.

[Free] Which expression is equivalent to $3 m+1-m$?

[Free] Select the correct answer. Consider the function [tex]f(x)=10^x[/tex] and the function [tex]g(x)[/tex], which is shown below. How will the graph of [tex]g(x)[/tex] differ from the graph of [tex]f(x)[/tex]? [tex]g(x)=f(x-6)=10^{(x-6)}[/tex] A. The graph of [tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] shifted to the left 6 units. B. The graph of [tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] shifted to the right 6 units. C. The graph of [tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] shifted 6 units up. D. The graph of [tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] shifted 6 units down.

[Free] Select the best answer for the question. 6. Which of the following is the same as $8.4 \times 10^2$? A. 8,400 B. 840 C. 84 D. 8.4

[Free] Melissa collected the data in the table. | x | Given | Predicted | Residual | |---|---|---|---| | 1 | 2 | 1 | 1 | | 2 | 3 | 4 | -1 | | 3 | 8 | 7 | 1 | | 4 | 9 | 10 | ? | When [tex]x=4[/tex], what is the residual? A. -3 B. -1 C. 1 D. 3

[Free] $\sqrt{\frac{\cos 2 x}{1+\sin ^2 x}}$

[Free] What was the capital of the Aztec empire? A. Manchuria B. Lemparre C. Yucatan D. Tenochtitlan

[Free] If $12 \sin ^2 \alpha-4 \sin \alpha-1=0$ over the interval $0^{\circ} \leq \alpha \leq 180^{\circ}$, then $\alpha=$ ?

[Free] Calculate the potential energy of a pawpaw fruit with a mass of 5g hanging at a height of 1200cm. Take the acceleration due to gravity as 9.8 N/kg.

[Free] How many states formed the Confederacy? A) 11 B) 18 C) 15 D) 12