91Ó°ÊÓ

The period \(T\), in seconds, of a pendulum of length \(l,\) in feet, may be approximated using the formula $$T=2 \pi \sqrt{\frac{l}{32}}$$ Express your answer both as a square root and as a decimal approximation. Find the period \(T\) of a pendulum whose length is 64 feet.

In Problems 129-136, write each number as a decimal. \(8.1 \times 10^{-2}\)

The period \(T\), in seconds, of a pendulum of length \(l,\) in feet, may be approximated using the formula $$T=2 \pi \sqrt{\frac{l}{32}}$$ Express your answer both as a square root and as a decimal approximation. Find the period \(T\) of a pendulum whose length is 16 feet.

Expressions that occur in calculus are given. Factor each expression completely. $$ 3(4 x+5)^{2} \cdot 4(5 x+1)^{2}+(4 x+5)^{3} \cdot 2(5 x+1) \cdot 5 $$

In Problems 129-136, write each number as a decimal. \(6.453 \times 10^{-1}\)

In Problems 137-146, express each statement as an equation involving the indicated variables. Area of a Rectangle The area \(A\) of a rectangle is the product of its length \(l\) and its width \(w\).

Express each statement as an equation involving the indicated variables. Perimeter of a Rectangle The perimeter \(P\) of a rectangle is twice the sum of its length \(l\) and its width \(w\).

Express each statement as an equation involving the indicated variables. Circumference of a Circle The circumference \(C\) of a circle is the product of \(\pi\) and its diameter \(d\).

Make up a polynomial that factors into a perfect square.

Express each statement as an equation involving the indicated variables. Area of a Triangle The area \(A\) of a triangle is one-half the product of its base \(b\) and its height \(h\)