13. For two cylinders \( A \) and \( B \), the ratio of lengths is \( 3: 1 \) and the ratio of diameters is \( 1: 2 \). Calculate the ratio of their volumes. 14. A machine makes boxes which are either perfect cylinders of diameter and length 4 cm , or perfect cubes of side 5 cm . Which boxes have the greater volume, and by how much? (Take \( \pi=3 \) ) 15. Natalia decided to build a garage and began by calculating the number of bricks required. The garage was to be 6 m by 4 m and 2.5 m in height. Each brick measures 22 cm by 10 cm by 7 cm . Natalia estimated that she would need about 40000 bricks. Is this a reasonable estimate?

How many different rectangles with an area of one hundred twenty square unil can be formed using unit squares? Using George pol-t a stratedies. aues and cheek

Use the definition of the logarithms to evaluate the following logarithms. a. \( \log _{4} 4=\square \) b. \( \log _{3} 9=\square \) c. \( \log _{8} 512=\square \)

The function \( f(x)=2^{x+1} \) is graphed below. Use the reflection about the line \( y=x \) to graph the inverse function \( y=f^{-1}(x) \) on the same plane. First place a point on the asymptote and then plot two points on the curve.

Let \( P(x)=2 x^{4}+a x^{2}-5 x-7 \). If \( P(3)=68 \), determine the value of \( P(x)=x^{4}+x^{3}-2 x+c \). If \( P(1)=6 \), determine the value of d Let \( P(x)=3 x^{6}-5 x^{3}+a x^{2}+b x+10 \). If \( P(-1)=P(2)=0 \), find the values of

(a) Diberi dua fungsi \( f(x)=6-3 x \) dan \( g(x)=\frac{1}{2 x-1}, x \neq \frac{1}{2} \). Cari Given, two function \( f(x)=6-3 x \) and \( g(x)=\frac{1}{2 x-1}, x \neq \frac{1}{2} \). Find \( \begin{array}{ll}\text { (i) } f^{-1} g & \text { (ii) } g f^{-1}\end{array} \)