Questions in mathematics

Questions in mathematics

📝 Answered - How does the graph of [tex]g(x)=-(x-2)^4[/tex] compare to the parent function of [tex]f(x)=x^4[/tex]? A. [tex]g(x)[/tex] is shifted 2 units to the right and reflected over the [tex]x[/tex]-axis. B. [tex]g(x)[/tex] is shifted 2 units to the left and reflected over the [tex]x[/tex]-axis. C. [tex]g(x)[/tex] is shifted 2 units to the right and 1 unit up. D. [tex]g(x)[/tex] is shifted 2 units to the right and 1 unit down.

📝 Answered - Assessment 6. Work individually. The coordinates of line [tex]AB[/tex] are [tex]A(5,4)[/tex] and [tex]B(-2, t)[/tex]. The line is perpendicular to a line whose gradient is [tex]-\frac{1}{2}[/tex]. Determine the value of [tex]t[/tex]. The coordinates of line AB are [tex]A (3,6)[/tex] and [tex]B (1,1)[/tex]. Determine the gradient of a line perpendicular to line [tex]AB[/tex]. Without drawing, determine whether each of the following pairs of lines are perpendicular or not. (a) [tex]\begin{array}{l} y=-3 x+4 \ y=\frac{1}{3} x+12 \end{array}[/tex] (b) [tex]y=\frac{3}{5} x+3[/tex] [tex]y=5 x-12[/tex] (c) [tex]y=\frac{1}{7} x-9[/tex] [tex]y=-\frac{1}{7} x+11[/tex] Chebet drew line NM with coordinates N(3,5) and M(1,-1). Magera drew line [tex]CD[/tex] with coordinates [tex]C(3,6)[/tex] and [tex]D(4,3)[/tex]. Determine whether line [tex]NM[/tex] is perpendicular to line [tex]CD[/tex] or not.

📝 Answered - Which expression is equivalent to the following complex fraction? [tex]$\frac{\frac{2}{x}-\frac{4}{y}}{\frac{-5}{y}+\frac{3}{x}}$[/tex] A. [tex]$\frac{3 y+5 x}{2(y-2 x)}$[/tex] B. [tex]$\frac{2(y-2 x)}{3 y-5 x}$[/tex] C. [tex]$\frac{2(y-2 x)(3 y-5 x)}{x^2 y^2}$[/tex] D. [tex]$\frac{x^2 y^2}{2(y-2 x)(3 y-5 x)}$[/tex]

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

📝 Answered - $6 \frac{2}{4} \div 3 \frac{1}{5} =$

📝 Answered - Factor the trinomial. [tex]r^2-13 r+36[/tex]

📝 Answered - The mean price of a pound of ground beef in 75 cities in the Midwest is $2.11 and the standard deviation is $0.56. A histogram of the data shows that the distribution is symmetric. A grocer is selling a pound of ground beef for $3.25. What is this price in standard units? Assuming the Empirical Rule applies, would this price be unusual or not? Round to the nearest hundredth. A. $z=-2.04$; This price would not be unusual. B. $z=2.04$; This is unusually expensive ground beef. C. $z=2.04$; This price would not be unusual. D. $z=-2.04$; This is unusually inexpensive ground beef.

📝 Answered - a) Class 5 students conducted a survey about which game they like the most. The table given below shows their responses. | Games | Football | Cricket | Basketball | Volleyball | | ----------- | -------- | ------- | ---------- | ---------- | | No. of students | 15 | 12 | 10 | 6 | Let's draw a bar graph to show the above information. b) The average monthly attendance of class 5 in the first 4 months of a new academic session is given in the table. | Months | Baishakh | Jestha | Asar | Shrawan | | -------- | -------- | ------ | ---- | ------- | | Attendance | 15 | 25 | 30 | 28 | (i) Let's draw a bar graph of the given data. (ii) In which month the average attendance was minimum or maximum? (iii) In which month the average attendance was less than 25?

📝 Answered - At 4:24 pm, how many degrees has the hour hand of a clock moved from its position at noon? (1) 132° (2) 135° (3) 140° (4) 145°

📝 Answered - Check whether the following numbers are divisible by 6. a) 59730 b) 18620 c) 83652 d) 675083