Questions asked
Two cars A and B have masses of 1200 kg and 1160 kg respectively. They collide on the icy pavement of an intersection. The direction of motion of each car after the collision is measured from snow tracks as shown. Driver A states he was going \( 45.0 \mathbf{~ k m} / \mathbf{h} \) just before the collision and that after the collision he applied the brakes so that he skidded 13.2 m before stopping. (Assume the coefficient of kinetic friction is \( \mathbf{0 . 3 3} \) between locked car wheels and the icy pavement, and use \( \mathbf{g}=\mathbf{9 . 8 1} \mathbf{~ m} / \mathbf{s}^{\mathbf{2}} \).) Find the speed of the car B before the collision in \( \mathbf{k m} / \mathbf{h} \) correct to three sig sigs. (Note the units!) \( v_{B 1}= \) km/h
Given a semi-annually compounded interest rate of 10% (our notation for it is r2(0,1)), what is the discount factor Z(0,1)?
Determine the oxidation number for the indicated element in each of the following substances. S in SO2 Express your answer as a signed integer.
For equity purposes, buying a house (mortgage note) is a better investment than leasing a similarly priced apartment (monthly rent). True or falsr
The Fermi spacecraft observes ... A. long-wavelength infrared light B. visible C. ultraviolet light D. gamma rays
ders not involved in the transaction. Government may impose taxes or fees to internalize the cost. Negative externalities can lead to market inefficiencies.
Answer options: A. most of the data in the scatterplot is nearly vertical B. The correlation is only 0.23 C. The slope of the regression line is near zero D. Eight data points are heavily influencing the linear model E. The residual plot would show a large curve A survey asked students to report their height and foot length in centimeters. The analysis and scatterplot are below. Why would a linear model not be appropriate for this data? 186 Helght (In cm) 180182184 50 100150200250 Foot Length (in cm) Height=0.01811+0.00935Foot Length n=108 r=0.23 Select an option: Most of the data in the scatterplot is nearly vertical. The correlation is only 0.23. The slope of the regression line is near zero
Problem 3 (2 points): Reduce the following payoff matrix for a zero-sum game between two people by dominance. \begin{bmatrix} a & b & c \\ P & 1 & -1 & -5 \\ Q & 4 & -4 & 2 \\ R & 3 & -3 & -10 \\ S & 5 & -5 & -4 \end{bmatrix}
In an experiment in a general chemistry laboratory, a student collected a sample of a gas over water. The volume of the gas was 318 mL at a pressure of 754 torr and a temperature of 28°C. The mass of the gas was 0.526 g. The vapor pressure of water at that temperature is 28.3 torr.
12. Find the Maclaurin series for the following functions: a) \(f(x) = e^{x^2/3}\) b) \(f(x) = x^3 \sin(5x)\) c) \(f(x) = \cos^2(3x)\) d) \(f(x) = \frac{3x - 1}{2x + 5}\)