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Questions in mathematics

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

📝 Answered - What is the product of [tex]$\left(5 m^{-2}\right)\left(2 m^{-3}\right)$[/tex]?

📝 Answered - Express 727,000 in scientific notation. [?] \times 10^{[ ]} Enter the coefficient in the green box and the exponent in the yellow box. Coefficient (green)

📝 Answered - Write $2.36 \times 10^{-3}$ as a decimal number (ordinary form).

📝 Answered - \frac{3^{15} \cdot 2^{34}}{3^{13} \cdot 2^{32}}

📝 Answered - Which is the initial value that shrinks an exponential growth function by $50 \%$? A. $\frac{1}{5}$ B. $\frac{1}{4}$ C. $\frac{1}{3}$ D. $\frac{1}{2}$

📝 Answered - Find all complex zeros of the given polynomial function, and write the polynomial in completely factored form. [tex]f(x)=3 x^3-7 x^2-43 x+15[/tex] Find the complex zeros of [tex]f[/tex]. Repeat any zeros if their multiplicity is greater than 1. [tex]x=-3, \frac{1}{3}, 5[/tex] (Simplify your answer. Use a comma to separate answers as needed. Express complex numbers in terms of [tex]i[/tex]. Use integers or fractions for any numbers in the expression.) Use the complex zeros to factor f. [tex]f(x)=[/tex] (Simplify your answer. Type your answer in factored form. Express complex numbers in terms of [tex]i[/tex]. Use integers or fractions for any numbers in the expression.)

📝 Answered - GR 12 GENERAL MATHEMATICS M3 10 To find the number of ways of arranging 10 people in a circular table, we use A. $(10-1)!$ B. $10!/(10-1)!$ C. $10!$ D. $1/2(10-1)!$ 11 The regression line of $Y$ on $x$ is given as $Y=a+bX$. What does the '$b$' represent? A. $Y$-intercept B. Slope of the line C. Dependent variable D. Independent variable

📝 Answered - Find the solution(s) of the system of equations: [tex] \begin{array}{l} y=x^2+6 x+9 \ y=2 x+6 \end{array} [/tex]

📝 Answered - For statements [tex]$p, q$[/tex], and [tex]$r$[/tex], show that the following compound statements are tautologies. a. [tex]$p \Rightarrow(p \vee q)$[/tex]. b. [tex]$(p \wedge(p \Rightarrow q)) \Rightarrow q$[/tex]. c. [tex]$((p \Rightarrow q) \wedge(q \Rightarrow r)) \Rightarrow(p \Rightarrow r)$[/tex].