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Questions in mathematics

[Free] Sara can complete a painting in 6 hours, and Alex can complete the same painting in 4 hours. How long will it take them if they work together on the same painting?

[Free] In triangle ABC, AC = BC, angle A = (x+24)/5 degrees, and angle B = (x-6)/2 degrees. How large is each angle?

[Free] Identify the pattern in the sequence: 1, 4, 9, 16, 25, ... Find the 10th term in the sequence. Explain your reasoning.

[Free] Using logarithmic properties, what is the solution to [tex]$\log _3(y+5)+\log _3 6=\log _3 66$[/tex]? Show all necessary steps.

[Free] Which of the following equations, when graphed, produces a line that passes through the points $(-3,-5)$ and $(4,-8.5)$? A. $y=-0.5 x-6.5$ B. $y=0.5 x-3.5$ C. $y=2 x+1$ D. $y=-2 x-0.5$

[Free] What are the vertical asymptotes of [tex]f(x)=\frac{10}{x^2-1}[/tex]?

[Free] Write the quotient as an exponent: [tex]$c^{12} \div c^3$[/tex]

[Free] Use properties of logarithms to expand each logarithmic expression as much as possible. [tex]\log _3\left(\frac{\sqrt{f}}{27}\right)[/tex]

[Free] What is $7 c^2-4 c$ in factored form?

[Free] Fill in the blanks. A. The difference totaled the place values of 6 and 5 in the number 428356 is ______. B. The smallest even number of 5 digits is ______.