Questions in mathematics

Questions in mathematics

[Done] Why are the flat surfaces on a rectangular prism called faces?

[Done] What is \( x \), the second term in the geometric series \( \frac{1}{4} + x + \frac{1}{36} + \frac{1}{108} + \ldots \)?

[Done] What is the answer to \( n \times 6 = 72 \)?

[Done] On a line segment, B is between A and C, and C is between B and D. Using the segment addition postulate, if \( AB = 7 \), \( AC = 15 \), and \( AD = 32 \), what do \( BC \), \( BD \), and \( CD \) equal?

[Done] What is half of an obtuse angle?

[Done] What is the indefinite integral of [tex]6\sin(3t) \, dt[/tex]?

[Done] How do you factor \(3x^2 + 7x - 6 = 0\) and solve?

[Done] Since the creation of a social program, the percent of persons 65 years and over with a family income below the poverty level has declined. The percent can be approximated by the function [tex]P(t) = 30.71 - 5.77 \ln t[/tex], where [tex]t[/tex] is the number of years since 1965. Find the percent of persons 65 and over with a family income below the poverty level and the rate of change in 1970. Note: To find the percent, substitute [tex]t = 5[/tex] into the function [tex]P(t)[/tex] (since 1970 is 5 years after 1965). To find the rate of change, take the derivative of [tex]P(t)[/tex] with respect to [tex]t[/tex] and evaluate it at [tex]t = 5[/tex].

[Done] At a cost of $2.50 per square yard, what would be the price of carpeting a rectangular floor measuring 18 feet by 24 feet?

[Done] A square kitchen has an area of 100 square feet. What is the kitchen's perimeter? A. 50 feet B. 80 feet C. 40 feet D. 4 yards