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Questions in mathematics
[Jawaban] An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
[Jawaban] A restaurant manager records the number of tables seated $(x)$ and the total number of cups of complimentary salsa $(y)$ served. Which statements show correct values for the median-fit method? Check all that apply. The left summary point is $(38,97.25)$. The middle summary point is $(52,110.5)$. The right summary point is $(63,160)$. The slope of the line of best fit is 2.14. The $y$-intercept of the line of best fit is -10.48.
[Jawaban] Three out of nine students in the computer club are getting prizes for first, second, and third place in a competition. How many ways can first, second, and third place be assigned?
[Jawaban] Find the logarithm. [tex]$\log 10^{-6}$[/tex]
[Jawaban] Write the equation for a parabola that has a vertex $(2,-1)$ and a directrix of $x=5$. The standard form for this parabola is $(y-k)^2=4 p(x-h)$ $(x-h)^2=4 p(y-k)$ The vertex is given at $(2,-1)$, which tells us that $h=$ $\square$ , and $k=$ $\square$
[Jawaban] 28. Determine where [tex]$\frac{2 x-3}{5 x+4}$[/tex] is not continuous. A. [tex]$\frac{5}{4}$[/tex] B. [tex]$\frac{1}{5}$[/tex] C. [tex]$-\frac{5}{4}$[/tex] D. [tex]$-\frac{1}{5}$[/tex] 29. Evaluate [tex]$\lim _{x \rightarrow 0} \frac{\sin 3 x}{x}$[/tex]. A. 1 B. 3 C. [tex]$\frac{1}{3}$[/tex] D. 0 30. The vertical asymptotes of [tex]$\frac{1 x^2+8 x}{x-4}$[/tex] is at [tex]$x=$[/tex] ? A. 2 B. -2 C. D. 0 31. Find the vertical asymptotes of [tex]$f(x)=\frac{2 x^3+9}{(x-4)^2}$[/tex]. A. [tex]$x=2$[/tex] B. [tex]$x=-2$[/tex] C. [tex]$x=4$[/tex] D. [tex]$x=\frac{1}{2}$[/tex]. 32. What is the vertical asymptote of [tex]$\frac{9}{x^2-9}$[/tex] ? A. [tex]$x=9$[/tex] B. [tex]$x=-3$[/tex] and [tex]$x=-3$[/tex] C. [tex]$x=-3$[/tex] and [tex]$x=3$[/tex] D. [tex]$x=9$[/tex]. 33. Evaluate [tex]$\lim _{x \rightarrow \infty} \frac{3-4 x^2}{2 x^2-x-2}$[/tex] A. -2 B. 1 C. [tex]$\frac{3}{2}$[/tex] D. does not exists 34. The following are turning points except. A. Maximum point. B. Minimum point. C. Inflexion point D. Non-stationary point 35. Evaluate [tex]$\lim _{x \rightarrow 1^{+}} \frac{5}{x-1}$[/tex]. A. 0 B. [tex]$+\infty$[/tex] C. [tex]$\frac{5}{2}$[/tex] D. -5 36. Evaluate [tex]$\lim _{x \rightarrow 0} \frac{1-\cos x^2}{x}$[/tex]. A. 0 B. 1 C. [tex]$+\infty$[/tex] D. -1 37. Compute [tex]$\lim _{x \rightarrow 0}\left(\frac{1}{x}-\frac{1}{x^2+x}\right)$[/tex] A. Does not exists B. 0 C. 1 D. 2
[Jawaban] Find the perimeter of the following rhombuses. Choose your answer inside the box below. 1. Side = 8 cm 2. Side = 13 cm 3. Side = 20 cm 4. Side = 6 cm 5. Side = 15 cm A. 60 cm B. 52 cm C. 80 cm D. 24 cm E. 32 cm
[Jawaban] Here is a tally chart of the birthdays of people in a class: | Month | Tally | | --------- | ----- | | January | |||| | | February | || | | March | |||| | | April | ||| | | May | | | | June | | | | July | | | | August | ||| | | September | | | | October | ||| | | November | ||| | | December | || | a. Which month has the most birthdays? b. How many children have their birthdays in February? c. How many more children have their birthdays in March than in April? d. In which months do 3 children have their birthdays?
[Jawaban] Abdul spent 450 naira for lunch and 350 naira on fuel. What fraction of the total amount did he spend on fuel?
[Jawaban] Jenny is riding her bicycle. She rides for 12.8 kilometers at a speed of 8 kilometers per hour. For how many hours does she ride?
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