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Questions in mathematics

[Jawaban] If [tex]f(x)=3 x+2[/tex] and [tex]g(x)=x^2+1[/tex], which expression is equivalent to [tex](f \circ g)(x)[/tex]? A. [tex](3 x+2)(x^2+1)[/tex] B. [tex]3 x^2+1+2[/tex] C. [tex](3 x+2)^2+1[/tex] D. [tex]3(x^2+1)+2[/tex]

[Jawaban] $1000 \times 4 - 5 =$

[Jawaban] How is the graph of y = csc(x – 6) transformed from its parent function? A. It is the graph of y = csc(x) shifted 6 units up. B. It is the graph of y = csc(x) shifted 6 units right. C. It is the graph of y = csc(x) shifted 6 units left. D. It is the graph of y = csc(x) shifted 6 units down.

[Jawaban] 1. A book contains 525 pages. How many pages will be there in 35 such books? 2. A packet of biscuits contains 375 biscuits. How many biscuits will be there in 75 such packets? 3. A factory produces 720 dolls in a day. How many dolls did it produce in the year 2016, if there were 53 holidays? 4. There are 8254 students in a school. If each student contributes ₹ 125 to charity. What is the total amount contributed by the students?

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

[Jawaban] Identify the type of triangle based on the given sides: (a) AB = 4 cm, BC = 4 cm, AC = 6 cm (b) PQ = 9 cm, QR = 8 cm, PR = 6 cm (c) DE = 7.5 cm, EF = 7.5 cm, FD = 7.5 cm (d) Draw the triangle for each of the above parts. Label the triangle and write the measures on the corresponding sides.

[Jawaban] Let [tex] \lim _{x \rightarrow 2} f(x)=7 [/tex] and [tex] \lim _{x \rightarrow 2} g(x)=14 [/tex]. Use the limit rules to find the following limit. [tex] \lim _{x \rightarrow 2} \frac{f(x)}{g(x)} [/tex] [tex] \lim _{x \rightarrow 2} \frac{f(x)}{g(x)}= [/tex] (Type an integer or a simplified fraction.)

[Jawaban] If $f(x)=-x+24$, find $f^{\prime}(x)$ from first principles.

[Jawaban] Angle [tex]\theta[/tex] is in standard position. If [tex]sin (\theta)=-\frac{1}{3}[/tex], and [tex]\pi\ \textless \ \theta\ \textless \ \frac{3 \pi}{2}[/tex], find [tex]cos (\theta)[/tex]. A. [tex]-\frac{2 \sqrt{2}}{3}[/tex] B. [tex]-\frac{4}{3}[/tex] C. [tex]\frac{4}{3}[/tex] D. [tex]\frac{2 \sqrt{2}}{3}[/tex]

[Jawaban] Solve the equation [tex]$2 \sqrt{b}+5=11-\sqrt{b}$[/tex]. A) [tex]$b=36$[/tex] B) [tex]$b=2$[/tex] C) [tex]$b=4$[/tex] D) [tex]$b=12$[/tex]