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Questions in Grade College

[Jawaban] Determine where [tex]$\frac{2}{\pi x+1}$[/tex] is not continuous. Evaluate [tex]$\lim _{x \rightarrow 0} \frac{\sin 3 x}{x}$[/tex]. The vertical asymptotes of [tex]$\frac{x^3+x}{x^2-4}$[/tex] is at [tex]$x=$[/tex] ? Find the vertical asymptotes of [tex]$f(x)=\frac{2 x^3+9}{(x-1)^2}$[/tex]. What is the vertical asymptote of [tex]$\frac{9}{x^2-9}$[/tex] ? Evaluate [tex]$\lim _{x \rightarrow \infty} \frac{3-4 x^2}{2 x^2-x-2}$[/tex] The following are turning points except: Evaluate [tex]$\lim _{x \rightarrow 1^{+}} \frac{5}{x-1}$[/tex]

[Jawaban] Select the correct answer. What is the value of the expression when $a=-2, b=3$, and $c=-6$ ? $\frac{a b+2 c}{-b c}$ A. 1 B. $-\frac{1}{3}$ C. -1 D. $\frac{1}{3}$

[Jawaban] Pyramid $A$ is a square pyramid with a base side length of 14 inches and a height of 6 inches. Pyramid $B$ has a volume of 3,136 cubic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.

[Jawaban] Which is a perfect square? [tex]$6^1$[/tex] [tex]$6^2$[/tex] [tex]$6^3$[/tex] [tex]$6^5$[/tex]

[Jawaban] Read the sentence. 'The textbooks were organized by Sonora.' Which is the best way to write this sentence in the active voice? A. Sonora organized the textbooks. B. The textbooks were being organized by Sonora. C. Sonora is organizing the textbooks. D. The textbooks had been by organized Sonora.

[Jawaban] Mario spent a total of $87.33 last week but did not keep a perfect record of where his money went. Fortunately, Mario does have all but one of his receipts. He enters all of the information he has into his expense spreadsheet as shown below. | | A | B | |---|---------------|----------| | 1 | Transaction | Amount | | 2 | Oil change | $18.95 | | 3 | Gas in car | $20.50 | | 4 | Lunch out | $12.68 | | 5 | Golfing | | | 6 | Total Spent | $87.33 | How much did Mario spend on golfing? A. $35.20 B. $45.20 C. $4.88 D. $143.96

[Jawaban] How do you write $0.\overline{8}$ as a fraction? $\frac{8}{9}$ $\frac{3}{5}$ $\frac{5}{8}$ $\frac{2}{3}$

[Jawaban] Find the equation of the line parallel to $y=4 x+1$ that includes the point ( $-2,-5$ ). Give your answer in Point-Slope Form. $y+5=[?](x-\square)$ Point-Slope Form: $y-y_1=m\left(x_1-x_1\right)$

[Jawaban] The height, [tex]$h$[/tex], in feet of the tip of the minute hand of a wall clock as a function of time, [tex]$t$[/tex], in minutes can be modeled by the equation [tex]$h=0.75 \cos \left(\frac{\pi}{30}(t-15)\right)+8$[/tex]. Which number (from 1 to 12 ) is the minute hand pointing to at [tex]$t=0$[/tex] ? A. 3 B. 6 C. 9 D. 12

[Jawaban] Suppose that you are thinking about buying a car and have narrowed down your choices to two options. The new-car option: The new car costs $26,000 and can be financed with a four-year loan at 6.24%. The used-car option: A three-year old model of the same car costs $14,000 and can be financed with a three-year loan at 7.31%. What is the difference in monthly payments between financing the new car and financing the used car? Use [tex]PMT=\frac{P\left(\frac{r}{n}\right)}{\left[1-\left(1+\frac{r}{n}\right)^{-nt}\right]}[/tex] The difference in monthly payments between financing the new car and financing the used car is $ (Round to the nearest cent as needed.)