Questions in mathematics

Questions in mathematics

[Free] Write an equation of a line parallel to line GH below in slope-intercept form that passes through the point $(-5,6)$. A. $y=-x-1$ B. $y=x-1$ C. $y=-x+11$ D. $y=x+11$

[Free] (4.) $2 \frac{1}{4} \div 3 \frac{4}{5}=$ (5) $1 \frac{3}{4} \div 2 \frac{1}{5}=$

[Free] If [tex]cos 30^{\circ} =\frac{\sqrt{3}}{2}[/tex] and [tex]tan 15 = 2-\sqrt{3}[/tex]

[Free] Evaluate the limit using L'Hôpital's rule [tex]$\lim _{x \rightarrow 0} \frac{e^x-x-1}{7 x^2}$[/tex]

[Free] Roy is planning a trip to Iceland. His plane ticket will cost kr 60,170 (60,170 Icelandic krónur), his lodging will cost kr 47,249, he needs $kr 39,877$ for food, and his Icelandic friend has suggested that he bring at least $kr 41,054$ for sightseeing and spending money. However, Roy has only kr 160,500 saved up. How much more will he need before he can go on his trip? A. $kr 23,350$ B. $kr 26,673$ C. $kr 27,850$ D. $kr 28,741$

[Free] Find the vertex of the parabola. [tex]f(x)=x^2-6 x+13[/tex] A. (4,0) B. (0,3) C. (3,4) D. (4,3)

[Free] If a student obtains 30 out of 40 marks for a mathematics paper, what is the percentage of the mark he obtained?

[Free] x^2 + y^2 - 20x - 60y - 1500 = 0

[Free] Which of the following statements accurately describe aspects of simple linear regression? (Select all that apply) 1. The least squares method minimizes the sum of squared errors (SSE) between the observed data points and the regression line. 2. In simple linear regression, the regression line always passes through all the data points in the scatter plot. 3. The error term (ε) in the population model accounts for all variables not included in the regression model that may influence the dependent variable. 4. The slope of the regression line is represented by the coefficient b1, and the intercept is represented by b0 in the regression equation.

[Free] (i) Pick up any one Mathematics topic from the options below: (a) Coordinate Geometry (b) Trigonometry (ii) Collect any data/information (e.g., tribes, languages, food, vegetation, animals, etc.) from Lakshadweep or Andaman & Nicobar Islands and represent it on the graph using coordinate plane or find height and distance using trigonometry. (iii) Also give a brief history/interesting facts about the information collected.