Questions in mathematics

Questions in mathematics

[Answered] A right triangle has a base, b, that is 6 inches. The area of the triangle, with h representing the height, is given by the expression bh/2. Complete the table to show how the area of the triangle changes with height: Height:4, Area:12, height:5, area:15, height:6, area:18, height:7, area:21, height:8, area:24. How does the area change as the height increases? Why do you think this happens?

[Answered] Which represents the solution set of the inequality [tex]$5 x-9 \leq 21$[/tex]? A. [tex]$x \leq \frac{12}{5}$[/tex] B. [tex]$x \geq \frac{12}{5}$[/tex] C. [tex]$x \geq 6$[/tex] D. [tex]$x \leq 6$[/tex]

[Answered] The part of the circle that represents each value that the variable takes. - The angle of the sector is calculated by dividing 360 (the degrees of a complete circle) by the number of data and multiplying the result by the absolute frequency of each data. - The formula to find these calculations is the following: [tex]\text { Ángulo del sector }=\frac{360}{n^o \text { datos }} \times \text { frecuencia de cada dato }[/tex] - Each sector is constructed with an angle protractor.

[Answered] Paul has decided to take a trip to the United Kingdom. While he is there, he hopes to visit several different cities, which are shown in the table below. The table also includes how much money Paul expects to spend in each city, taking into consideration transportation, lodging, and so on. All costs listed are in pounds sterling ([tex]$£$[/tex]). | City | Cost (£) | | ----------- | ----------- | | Bristol | 76 | | Leicester | 66 | | Glasgow | 91 | | Leeds | 60 | | Belfast | 72 | Paul's sightseeing budget is [tex]$£ 300$[/tex]. What is the cheapest city that Paul can drop from his plans and still stay under budget? a. Leicester b. Leeds c. Bristol d. Belfast

[Answered] The number of students in the primary level (class 1 to 5) of a school are given below. | Classes | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---| | No. of students | 45 | 30 | 50 | 25 | 15 | (i) Draw a simple bar graph to show the number of students in different classes. (ii) In which class are there the highest number of students? (iii) How many students are there in the primary level?

[Answered] What is the phase shift of a periodic function? A. a horizontal translation of the function B. the horizontal length of one cycle of the function C. the number of cycles of the function that occur in one horizontal unit D. a vertical translation of the function

[Answered] (m) [tex]\frac{2}{7} y^3-\frac{1}{7} y^2+\frac{6}{7} y, \quad \frac{7}{8} y-\frac{5}{4} y^2-\frac{3}{2} y^3[/tex]

[Answered] Identify the vertical asymptote of the function. [tex]f(x)=\frac{x^2+1}{3(x-8)}[/tex] The vertical asymptote is at [tex]x=[/tex] $\square$.

[Answered] What is $24 x^2+14 x$ in factored form?

[Answered] Fifteen percent of an employee's taxable income is collected each paycheck. Before taxes are removed from each paycheck, $350 of tax-exempt expenses is taken out. If the variable $x$ represents the employee's pay before tax-exempt expenses and taxes are removed, which expression represents the employee's take-home pay after these deductions? A. $0.15(x-350)$ B. $x-0.15-350$ C. $0.85(x-350)$ D. $x-0.85-350