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Questions in mathematics

[Done] $55.27^{\circ}$ is the same as $55^{\circ}$ $\qquad$ $12^{\prime \prime}$?

[Done] If [tex]x^2+m x+m[/tex] is a perfect-square trinomial, which equation must be true? [tex]x^2+m x+m=(x+1)^2[/tex] [tex]x^2+m x+m=(x-1)^2[/tex] [tex]x^2+m x+m=(x+2)^2[/tex] [tex]x^2+m x+m=(x+4)^2[/tex]

[Done] Given number is 65. Convert into binary. Convert into quinary. Express as scientific notation of given.

[Done] SW #2 Evaluate the function 1) f(x) = x² - x - 12 a. f(-3) c. f(x-2) b. f(-5) d. f(x-1) 2) g(x) = x² - 3x + 9 a. g(4) c. g(2x+5) b. g(x-5)

[Done] Exercise 1: Write algebraic expressions for the following statements, making the unknown x. 1. The sum of an unknown number and 7. 2. The product of an unknown number and 3. 3. The difference between a certain number and 8. 4. Two more than double a number. Exercise 2: 1. If A = 3x² + 5x - 2; B = -2x - x² + 7; C = -5 + 2x² + x, determine the following: 1.1 A + C 1.2 C - B 1.3 The product of A and -2 2. Consider the following expressions: A: 3x² - 2 + 4x B: 2x - 6x² + 5x² C: 4 - 2x² + 3x 2.1 Determine the value of A + B + C 2.2 Determine -3A

[Done] A general formula for a parabola is [tex]$y^2=4 p x$[/tex]. What is the value of [tex]$p$[/tex] in the equation [tex]$y^2=-4 x$[/tex]? A. [tex]$P=-4$[/tex] B. [tex]$P=-1$[/tex] C. [tex]$P=1$[/tex] D. [tex]$P=4$[/tex]

[Done] Based on this data, predict what will happen to the water in the Ogallala aquifer over the next decade. | Year | Saturated Thickness (feet) | |------|----------------------------| | 1975 | 107.5 | | 1980 | 95.5 | | 1985 | 84.25 | | 1990 | 73.75 | | 1995 | 63.75 | | 2000 | 55.25 | | 2005 | 47.75 | | 2010 | 40.25 | A. The water will continue to increase. B. The water will continue to decrease. C. The water will remain the same. D. The water will be completely depleted.

[Done] Define $F^{\prime}(x)=x^3$. Find $F(x)$.

[Done] Given the following system of equations: [tex]\begin{array}{l} -4 x+8 y=16 \\ 2 x+4 y=32 \end{array}[/tex] What action was completed to create this new equivalent system of equations? [tex]\begin{array}{l} -2 x+4 y=8 \\ 2 x+4 y=32 \end{array}[/tex] A. Divide the second equation, [tex]$2 x+4 y=32$[/tex], by 2. B. Divide the first equation, [tex]$-4 x+8 y=16$[/tex], by 2. C. Multiply the second equation, [tex]$2 x+4 y=32$[/tex], by -1. D. Multiply the first equation, [tex]$-4 x+8 y=16$[/tex], by -1.

[Done] Use the properties of exponents to simplify the expression: $\left(27^{\frac{1}{2}}\right)^{\frac{2}{3}}$ A) 9 B) 3 C) $\sqrt{3}$ D) 27