Questions in mathematics

Questions in mathematics

📝 Answered - What is the formula for finding the area of a regular polygon with perimeter [tex]$P$[/tex] and apothem length [tex]$a$[/tex]? A. [tex]$A=P a$[/tex] B. [tex]$a=1 / 2(P A)$[/tex] C. [tex]$a=P A$[/tex] D. [tex]$A=1 / 2(P a)$[/tex]

📝 Answered - Which statement describes the graph of [tex]f(x)=-x^4+3 x^3+10 x^2[/tex]? A. The graph crosses the [tex]x[/tex]-axis at [tex]x=0[/tex] and touches the [tex]x[/tex]-axis at [tex]x=5[/tex] and [tex]x=-2[/tex]. B. The graph touches the [tex]x[/tex]-axis at [tex]x=0[/tex] and crosses the [tex]x[/tex]-axis at [tex]x=5[/tex] and [tex]x=-2[/tex]. C. The graph crosses the [tex]x[/tex]-axis at [tex]x=0[/tex] and touches the [tex]x[/tex]-axis at [tex]x=-5[/tex] and [tex]x=2[/tex]. D. The graph touches the [tex]x[/tex]-axis at [tex]x=0[/tex] and crosses the [tex]x[/tex]-axis at [tex]x=-5[/tex] and [tex]x=2[/tex].

📝 Answered - C. $c=42^{\circ}, h=18^{\circ}$ D. $c=64^{\circ}, h=12^{\circ}$ 62. A man bought 80 pairs of sandals at 1. 500.00 per pair and sold each pair of the sandals at $ 2,400.00$. Find the percentages profit. Hint: Percentage Profit =$\frac{\text { Profit }}{\text { cost price }} \times$ 100\%] A. $45 \%$ B. $52 \%$ c. $60 \%$ D. $72 \%$ 63. Ifeanyi borrowed $800,000.00 at $6 \%$ per annum, simple interest and paid R944,000.00 at the end of the loan period. How long was the loan? $\left[]$ Hint: Interest =$\frac{\text { Principal } \times \text { Rate } \times \text { Time }}{100}\right]$

📝 Answered - The ages of 50 teachers are given below: 37 49 27 49 22 26 33 26 21 40 50 29 49 27 49 42 26 33 40 40 31 26 23 24 29 31 36 22 27 58 46 21 43 39 34 23 21 32 41 46 26 38 34 49 45 27 25 33 39 40 a. Form a frequency distribution table for the data using intervals of 21-25, 26-30, 31-35... b. Calculate the mode, mean, and median. c. Calculate the variance and standard deviation.

📝 Answered - Estimate the difference of 645 and 273.

📝 Answered - Find the equation of the line that is perpendicular to [tex]$y=-\frac{2}{3} x$[/tex] and contains the point (4,-8). [tex]$y=\frac{[?]}{[\square]} x+[]$[/tex]

📝 Answered - \frac{\frac{2}{3}}{\frac{1}{3}+\frac{2}{3}}+1

📝 Answered - Given that [tex]y =\sin \left(2 x^3-4 x+2\right)[/tex], find the derivative of y with respect to x. (a) [tex]2 x^3-4 x \sin \left(2 x^3-4 x+2\right)[/tex] (b) [tex]6 x^2-4 \cos \left(2 x^3-4 x+2\right)[/tex] (c) [tex]4 x^2-4 \sin \left(2 x^3-4 x+2\right)[/tex] (d) [tex]\sin \left(2 x^3-4 x+2\right)[/tex]

📝 Answered - Simplify this expression: [tex]4 \rho+9+(-7 p)+2[/tex] A) [tex]3 p+7[/tex] B) [tex]11 p+11[/tex] C) [tex]3 p+11[/tex] D) [tex]-3 p+11[/tex]

📝 Answered - What is the sum of all even numbers from 209 to 299?