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Questions in mathematics

[Jawaban] Select the correct answer. Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. [tex]x+5=-3^x+4[/tex] A. [tex]x \approx 3.75[/tex] B. [tex]x=-1.25[/tex] C. [tex]x=-2.25[/tex] D. [tex]x=1.25[/tex]

[Jawaban] SSgt Polk tells SrA Johnson, “I need you to look at the changes I suggested for your memorandum. There are some areas where you could be more precise by only including information that is relevant to the main topic.” SSgt Polk’s comments BEST explain which concept of effective communication from The Tongue and Quill? A. Be Clear B. Be Concise C. Be Specific

[Jawaban] $\lim _{x \rightarrow 3} \sqrt[3]{\frac{x^2+3 x-2}{2 x^2+3 x-2}}$

[Jawaban] What are the foci of the graph $25 y^2-4 x^2=100$?

[Jawaban] Which expression results when the change of base formula is applied to [tex]$\log _4(x+2)$[/tex] ? [tex]$\frac{\log (x+2)}{\log 4}$[/tex] [tex]$\frac{\log 4}{\log (x+2)}$[/tex] [tex]$\frac{\log 4}{\log x+2}$[/tex] [tex]$\frac{\log x+2}{\log 4}$[/tex]

[Jawaban] Determine the truth value of the inverse. Explain.

[Jawaban] A popular myth is that for identical twins, one is the "nice one" and one is the "mean one." Fourteen pairs of identical twins were randomly selected and given a personality test for measuring "niceness" or "meanness" where the higher score implies "niceness" and a lower score implies "meanness." At the $1 \%$ significance level, is there a difference in the personality scores between the identical twins. First Born Score & 43 & 54 & 49 & 53 & 49 & 52 & 58 & 51 & 59 & 48 & 45 & 49 & 47 & 46 Second Born Score & 52 & 47 & 50 & 46 & 50 & 51 & 50 & 45 & 46 & 47 & 49 & 54 & 50 & 54

[Jawaban] Give your answer in its simplest form. Dividing by [tex]\frac{3}{4}[/tex] is the same as multiplying by $\square$

[Jawaban] Find the sum of 33 and 194.

[Jawaban] Step 1: $=\frac{\sin (x-y)}{\cos (x-y)}$ Step 2: $\frac{\sin (x) \cos (y)+\cos (x) \sin (y)}{(A) \cos (y)-\sin (x) \sin (y)}$ Step 3: $\frac{\frac{\sin (x) \cos (y)+\cos (x) \sin (y)}{\cos (x)(B)}}{\frac{\cos (x) \cos (y)-\sin (x) \sin (y)}{\cos (x) \cos (y)}}$ Step 4: $\frac{\frac{\sin (x) \cos (y)}{\cos (x) \cos (y)}+\frac{\cos (x) \sin (y)}{\cos (x) \cos (y)}}{\frac{\cos (x) \cos (y)}{\cos (x) \cos (y)}-\frac{\sin (x) \sin (y)}{\cos (x) \cos (y)}}$ Step 5: $\frac{\tan (x)+\tan y}{1-\tan (x)(c)}$ The work shown is a way to derive $\tan \left(x+y=\frac{\tan (x)+\tan (y)}{1-\tan (x) \tan (y)}\right.$ What expressions go in the derivation of the tangent sum identity in place of $A, B$, and $C$? A: B: C: