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Questions in mathematics

[Jawaban] Directions: Find the measures of central tendency for each data set. 1. The number of vegetable sales (in kilograms) imported from Baguio City: 104, 107, 109, 104, 109, 111, 104, 109, 112, 104, 109, 111, 104, 110, 109

[Jawaban] Solve the given linear programming problem to minimize: Z = 4x + 3y Subject to the constraints: 200x + 100y ≥ 4000 x + 2y ≥ 50 40x + 40y ≥ 1400 x, y ≥ 0

[Jawaban] Count the Raindrops Note: Ask the children to count the raindrops and encircle the correct number in each row. | | | | | | |-------|---------|-------|-------|-------| | 0 0 | 0 0 0 0 | 0 0 0 | 0 0 0 | 0 0 0 | | 3 | 5 | 7 | 1 | 3 | | 1 | 8 | 8 | 9 | 5 | | 6 | 4 | 9 | 4 | 7 | | 4 | 2 | 2 | 3 | 6 | | 2 | 6 | 4 | 2 | 4 |

[Jawaban] If [tex]\cos \theta+\sin \theta=\sqrt{2} \cos \theta[/tex], then [tex]\cos \theta-\sin \theta[/tex] is equal to a. [tex]$\sqrt{2}$[/tex] b. [tex]$\operatorname{Cos} \theta[/tex] c. [tex]$\sqrt{2} \sin \theta[/tex] d. [tex]$\sqrt{2} \cos \theta[/tex]

[Jawaban] Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution set of this problem? A. [tex]$x\ \textless \ -5$[/tex] B. [tex]$x\ \textgreater \ -5$[/tex] C. [tex]$x\ \textgreater \ -1$[/tex] D. [tex]$x\ \textless \ -1$[/tex]

[Jawaban] What are the additive and multiplicative inverses of [tex]h(x)=x-24[/tex]? A. additive inverse: [tex]j(x)=x+24[/tex]; multiplicative inverse: [tex]k(x)=\frac{1}{x-24}[/tex] B. additive inverse: [tex]j(x)=\frac{1}{x-24}[/tex]; multiplicative inverse: [tex]k(x)=-x+24[/tex] C. additive inverse: [tex]j(x)=-x+24[/tex]; multiplicative inverse: [tex]k(x)=\frac{1}{x-24}[/tex] D. additive inverse: [tex]j(x)=-x+24[/tex]; multiplicative inverse: [tex]k(x)=x+24[/tex]

[Jawaban] Question 11 A circle passes through points $A(1,2)$ and $B(3,4)$, and its center lies on the line $y=2 x-1$. What is the equation of this circle? Options: 1. $(x-2)^2+(y-3)^2=2$ 2. $(x-3)^2+(y-5)^2=10$ 3. $(x-1)^2+(y-1)^2=8$ 4. $(x-4)^2+(y-7)^2=26$ 5. $x^2+(y+1)^2=10

[Jawaban] Mrs. Hrang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96. How large is her tank now? A. 20 gallons B. 16 gallons C. 18 gallons D. 14 gallons

[Jawaban] Find the domain of the function [tex]f(x)=\frac{2 x^2+16 x+4}{2 x+4}[/tex]. What is the only value of [tex]x[/tex] not in the domain? [tex]x=[/tex]

[Jawaban] The volume of a rectangular box is $2 x(2 x+4)(2 x-2)$. (Drawing is not to scale.) Which statement about the volume of the box is true? A. The volume is the product of the length, $2 x+4$, and the width, $2 x$ B. The volume does not depend on the height, $2 x-2$. C. The volume is the sum of the length, $2 x+4$, the width, $2 x$, and the height, $2 x-2$ D. The volume is the product of the area of the base, $2 x(2 x+4)$, and the height, $2 x-2