A state trooper chases a speeder along a straight road; both vehicles move at 160 km/h. The siren on the trooper’s vehicle produces sound at a frequency of 500 Hz. What is the Doppler shift in the frequency heard by the speeder?

A vertical glass tube of length L = 1.280 000 m is half filled with a liquid at 20.000 000°C. How much will the height of the liquid column change when the tube and liquid are heated to 30.000 000°C? Use coefficients

$$α_glass = 1.000 000 × 10^-5/K$$

and

$$β_liquid = 4.000 000 × 10^-5/K$$

.

At what temperature is the Fahrenheit scale reading equal to twice that of the Celsius scale?

Rewrite the equation by completing the square so that the left side is a binomial squared. $x^{2}+14 x=-40$

A car is traveling at a speed of 38.0 m/s on an interstate highway where the speed limit is 75.0 mi/h. Is the driver exceeding the speed limit? Justify your answer.

Find the rectangular coordinates for the point whose polar coordinates are given.

$$( 0,13 \pi )$$

Which of the following electron configurations correctly represents the V atom?

(a) $[\mathrm{Ar}]3d^{5}$ (b) $[\mathrm{Ar}]4s^23d^{2}$ (c) $[\mathrm{Ar}]4s^23d^{4}$ (d) $[\mathrm{Ar}]4s^23d^{3}$ (e) $[\mathrm{Kr}]4s^23d^{3}$

Complete the analogy below with the word from the Word Bank that fits best. Begin by identifying the type of relationship in the first word pair. BRILLIANT : SMART :: _____ : stubborn

Ben financed a $1500 rowing machine to help him train for the college rowing team. He could only make a$100 payment each month, and his bill increased bv 1% due to interest at the end of each month. Find the balance owed after the first four months.

What is the value of x if $5^{2-x}=20$? A. -1.560 B. 0.139 C. 0500 D. 0.602

Let

$$\left\{ x _ { n } \right\}$$

be a sequence of population values defined recursively by the Beverton–Holt model for which

$$| x _ { 1 } > K$$

. Assume that the constants R and K satisfy R>1 and K>0. If

$$x _ { n } > K$$

, show that

$$x _ { n + 1 } > K$$

. Conclude that

$$x _ { n } > K$$

for all

$$n \geq 1$$

.

A whistle of frequency 540 Hz moves in a circle of radius 60.0 cm at an angular speed of 15.0 rad/s. What is the lowest frequencies heard by a listener a long distance away, at rest with respect to the center of the circle?

If the form of a sound wave traveling through air is s(x, t) = (6.0 nm) cos(kx + (3000 rad/s)t + Φ), how much time does any given air molecule along the path take to move between displacements s = +2.0 nm and s = -2.0 nm?

Factor each polynomial.

$$s ^ { 3 } + t ^ { 3 } + s ^ { 2 } t + s t ^ { 2 }$$