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Questions in mathematics

📝 Answered - If the diameter of a youth softball is 3.5 inches and the diameter of an adult softball is 3.8 inches, what is the approximate difference in their volumes? Use 3.14 for [tex]$\pi$[/tex]. Round to the nearest tenth of a cubic inch. Recall the formula Sphere [tex]$V=\frac{4}{3} \pi r^3$[/tex]. A. 6.3 cubic inches B. 51.1 cubic inches C. 67.0 cubic inches D. 409.2 cubic inches

📝 Answered - Two automobiles start together at the same place and travel along the same route. The first averages 40 miles per hour, the second 55 miles per hour. How many miles further along the route is the second auto at the end of five hours?

📝 Answered - $3-(-3)+7-4=$ A) 12 B) 9 C) 2 D) 14

📝 Answered - Solve the system of equations: [tex] \begin{array}{l} y=2 x+1 \ -4 x+2 y=2 \end{array} [/tex] A. (2,3) B. (-1, 1) C. No solution D. Infinite solutions

📝 Answered - In one state, the transfer tax is $0.80 per $500 or fraction thereof. There is no tax charged on the first $500 of the price. What tax must the seller pay if the property sells for $329,650? A) $525.60 B) $526.40 C) $528.00 D) $527.20

📝 Answered - What is the product? $(4 s+2)\left(5 s^2+10 s+3\right)$ A. $20 s^2+20 s+6$ B. $20 s^3+40 s^2+12 s$ C. $20 s^3+10 s^2+32 s+6$ D. $20 s^3+50 s^2+32 s+6$

📝 Answered - Multiply $\frac{3}{\sqrt{17}-\sqrt{2}}$ by which fraction will produce an equivalent fraction with a rational denominator? A. $\frac{\sqrt{17}-\sqrt{2}}{\sqrt{17}-\sqrt{2}}$ B. $\frac{\sqrt{17}+\sqrt{2}}{\sqrt{17}+\sqrt{2}}$ C. $\frac{\sqrt{2}-\sqrt{17}}{\sqrt{2}-\sqrt{17}}$ D. $\frac{\sqrt{15}}{\sqrt{15}}$

📝 Answered - Use synthetic substitution to find $f(-2)$ and $f(4)$ for each function. 41. $f(x)=x^2-3$ 42. $f(x)=x^2-5 x+4$ 43. $f(x)=x^3+4 x^2-3 x+2$ 44. $f(x)=2 x^4-3 x^3+1

📝 Answered - Calculate the value of y in the figure below: 25° 95° y

📝 Answered - Fill in the blanks: (i) Abscissa of point (2, -5) is ..................... (ii) Ordinate of point (0, -3) is ..................... (iii) Coordinate of a point on x-axis is ..................... (iv) Coordinate of a point on y-axis is ..................... (v) Point (2, –3) lies in .............. quadrant.