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Questions in mathematics

📝 Answered - Rachel traveled to five different areas (A, B, C, D, and E) to study the number of buckeye butterflies and the number of monarch butterflies living there. The table shows her findings. | Area | Buckeye Butterflies | Monarch Butterflies | |---|---|---| | A | 15 | 16 | | B | 27 | 36 | | C | 12 | 25 | | D | 24 | 32 | | E | 44 | 33 | The relationship between the number of buckeye butterflies and the number of monarch butterflies is not proportional across all areas. Which two areas have buckeyes and monarchs in the same proportion? A. areas [tex]$A$[/tex] and [tex]$B$[/tex] B. areas [tex]$C$[/tex] and [tex]$E$[/tex] C. areas [tex]$B$[/tex] and [tex]$D$[/tex] D. areas [tex]$C$[/tex] and [tex]$D$[/tex]

📝 Answered - Work out the size of angle u. There is a triangle with angles 75°, 65°, and u. The diagram is not to scale.

📝 Answered - Determine the Laplace transform of: [tex]u(t-4)[t - 4]^2[/tex]

📝 Answered - A man had 0.08 part of his wealth invested in stocks, 0.3 part in FDs, 0.4 part amounting to ₹ 2,400 as gold, and the rest in cash. How much total cash and stocks did he have? (1) ₹ 1,600 (2) ₹ 1,500 (3) ₹ 2,000 (4) ₹ 1,800

📝 Answered - Give a reason to support your answer. In a parallelogram, one angle is three times its adjacent angle. Find all the angles of the parallelogram.

📝 Answered - 9) $(17+4 \times 3=$ 5) $9+2 \times(8-2)-3=$

📝 Answered - Which point-slope equation represents a line that passes through $(3,-2)$ with a slope of $-\frac{4}{5}$? A. $y-3=-\frac{4}{5}(x+2)$ B. $y-2=\frac{4}{5}(x-3)$ C. $y+2=-\frac{4}{5}(x-3)$ D. $y+3=\frac{1}{5}(x+2)$

📝 Answered - Simplify this polynomial: $3 x^3+x+2 x^3-4 x^2+14 y-2(y+x)$ A. $3 x^3-3 x^2+14(-2 y+2 x)$ B. $5 x^3-3 x^2+14 y-2 y-2 x$ C. $3 x^3-x+4 x^2+12 y$ D. $5 x^3-4 x^2-x+12 y$

📝 Answered - What is the converse of the given conditional statement? Conditional Statement: You will get into college if you work hard. A. If you do not work hard, you will not get into college. B. If you do not get into college, you have not worked hard. C. If you work hard, you still may not get into college. D. If you get into college, you have worked hard.

📝 Answered - Enter the correct value so that each expression is a perfect-square trinomial. [tex]\begin{array}{l} x^2-10 x+\square \\ x^2+\square x+36 \\ x^2+\frac{1}{2} x+\square\end{array}[/tex]