Questions in mathematics

Questions in mathematics

📝 Answered - Solve. Round your answer to the nearest thousandth. [tex] \begin{array}{l} e^x=59 \\ x=\square \end{array} [/tex]

📝 Answered - Which of the following fraction pairs are equivalent fractions? Select one: a. $1 / 4$ and $8 / 32$ b. $1 / 4$ and $9 / 32$ c. $1 / 4$ and $3 / 8$ d. $1 / 4$ and ${ }^{42} / 128$

📝 Answered - Match each rational expression to its simplest form. [tex]\frac{2 m^2-4 m}{2(m-2)}[/tex] [tex]\frac{m^2-2 m+1}{m-1}[/tex] [tex]\frac{m^2-3 m+2}{m^2-m}[/tex] [tex]\frac{m^2-m-2}{m^2-1}[/tex] $\square$ $\square$ $\frac{m-2}{m-1}$ $\square$ $m$ $\square$

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

📝 Answered - The length of a rectangular field is (2x + 20) m and its area is (20x^2 + 200x) m². a) Find the breadth of the field. b) If x = 10 m, find the actual length, breadth, and area of the field. c) What is the cost of ploughing the field at Rs 15 per square meter? d) When the value of x is increased by 1, by what percent will the cost of ploughing the field have been increased?

📝 Answered - $5 x^2+13 x-6 \geqslant 0$

📝 Answered - Two given sets are [tex]$A = \{2, 4, 6, 8\}$[/tex] and [tex]$B = \{x : x \text{ is a natural number less than 5} \}$[/tex] (a) List the elements of the set [tex]$B$[/tex]. (b) Write whether [tex]$A$[/tex] and [tex]$B$[/tex] are equal or equivalent sets. (c) Are the sets [tex]$A$[/tex] and [tex]$B$[/tex] disjoint or overlapping? Give a reason.

📝 Answered - Simplify the expression: $-1(-x-10)$

📝 Answered - Rewrite the equation in terms of [tex]$s$[/tex]. [tex]$V=\frac{1}{3} s^2 h$[/tex]

📝 Answered - a) [tex]$x^2-11 x+24\ \textless \ 0$[/tex]