Questions in mathematics

Questions in mathematics

[Answered] Which one of the following is not true? (A) The set of all feasible solutions of a linear programming problem is a closed convex set. (B) The set of all feasible solutions of a linear programming problem is a convex set which is either closed or open. (C) The objective function of a linear programming problem assumes its optimal value at an extreme point of the convex set of feasible solutions. (D) A basic feasible solution to a linear programming problem corresponds to an extreme point of the convex set of feasible solutions and conversely.

[Answered] Complete the equivalent fraction by filling in the box. $\frac{19}{7}=\frac{76}{\square}$

[Answered] Select the correct answer. What is the solution for $x$ in the equation? $-x+\frac{3}{7}=2 x-\frac{25}{7}$ A. $x=-\frac{4}{3}$ B. $x=\frac{4}{3}$ C. $x=-\frac{3}{4}$ D. $x=\frac{3}{4}$

[Answered] Chin was shown the graph of a line that contained point $(1,7)$. He wrote $f(x)=4 x+3$ to correctly represent the line. Which of these equations could represent the same line? A. $y-7=3(x-1)$ B. $y-1=3(x-7)$ C. $y-7=4(x-1)$ D. $y-1=4(x-7)$

[Answered] Rewrite the product as an exponent: [tex]y^4 y^9[/tex]

[Answered] If $h(x)=6-x$, what is the value of $(h \circ h)(10)?

[Answered] A sphere and a cylinder have the same radius and height. The volume of the cylinder is $30 m^3$. What is the volume of the sphere?

[Answered] Which expression is equivalent to $\sum_{n=1}^{35} n\left(n^2+1\right)$? $\sum_{n=1}^{35} n \times \sum_{n=1}^{35}\left(n^2+1\right)$ $\sum_{n=1}^{35} n^3 \times \sum_{n=1}^{35} n$ $\sum_{n=1}^{35} n^3+\sum_{n=1}^{35} n$

[Answered] Convert the decimal 0.92 to a fraction.

[Answered] What is the area of a rectangle with a base of 3 units and a height of 4 units?