Solve each equation and check the solution.

$$-3(2 h-1)=3$$

(A) Evaluate the discriminant and (B) determine the number and type of solutions to each equation. -6d^2 + 9d = 2

Calculate the magnitude of the linear momentum for the following cases: a 15.0-g bullet moving with a speed of 300 m/s.

Two identical 1350-kg automobiles A and B are at rest with their brakes released when B is struck by a 5400-kg truck C that is moving to the left at 8 km/h. A second collision then occurs when B strikes A. Assuming the first collision is perfectly plastic and the second collision is perfectly elastic, determine the velocities of the three vehicles just after the second collision.

How would you say 'They plan to brush their hair with the brush ' in Spanish?

Rutherford's experiment consisted of beaming positively charged particles at thin gold foil. According to Rutherford, where in an atom are these particles located?

You are meeting a friend at Fort Myers Airport. According to the Bureau of Transportation Statistics, in 2009 flights into Fort Myers were on time 81.3% of the time, but Southwest had a better record and is on time 84.5% of the time. You cannot remember what airline she is taking but you know that in the past she has flown on Southwest 70% of the time. The plane is late. What is the probability she is on Southwest?

Find $\alpha$ and $Z_{0}$ of a distortionless line whose $R^{\prime}=2 \Omega / \mathrm{m}$ and $G^{\prime}=2 \times 10^{-4} \mathrm{S} / \mathrm{m}$.

Solve the given initial value problem (differential equation subject to a specified condition. $\frac{d x}{d t}=\frac{\sin (\sqrt{t})}{\sqrt{t}};$ x(0) = -1

Draw angles in standard position such that the terminal side passes through the given point. (-4, -2)

Find the volume of a spherical beach ball wit h a diameter of

Use the root test to show that $\Sigma k^{p} e^{-k}$ converges for any fixed positive real number p. What does this imply about the following improper integral?

$$\int_{1}^{\infty} x^{p} e^{-x} d x$$

If a system is described by transfer function $h(t)=2u(t)+2n(t-1)$, use the convolution to calculate the output (time domain) if the input is $(a)2u(t); \; (b)2te^{-2t}u(t)$.

How does the textbook's discussion of Anglo-American settlers in the Ohio Valley support or challenge each of the historians' arguments regarding British policy?