\(\frac { \sqrt { 7} - 5} { \sqrt { 5} + 5} = \square \)

(Simplify your answer. Type an exact answer, using radicals as needed.)

A ball of mass 5.70kg moving with a speed of 2.40m/s in the +x -direction hits a wall and bounces back with the same speed in the -x- direction. What is the change in momentum of the ball? Enter a positive answer if the momentum is in the +x -direction and enter a negative answer if the momentum is in the - x -direction.

\( \square kg \cdot m/s\)

Evaluate each expression without using a calculator. (Simplify your answers completely.)

(a)\( \ln ( e ^ { 3 } ) = \)

(b)\( \log _ { 5 } ( \sqrt [ 5 ] { 5 } ) = \)

(c)\( ( 9 ^ { \log _ { 9 } ( \pi ) } ) ^ { 4.8 } = \)

Add or subtract the following measurements. Be sure each answer you enter contains the correct number of significant digits.

\(17.88 g - 1.300 g = \square g \)

\( 7.827 g + 1.47 g = \square g \)

\( 0.80 g - 0.770 g = \square g\)

Write the ratio as a ratio of whole numbers using fractional notation. Write the fraction in simplest form.

\( 5 \frac { 1 } { 5 } \)hours to\( 1 \frac { 3 } { 10 } \)hours

The ratio in simplest form is\( \square \). (Type the ratio as a simplified fraction.)