What is the main source of heat in Earth's interior?

a. What are the three types of plate boundaries? b. Describe the type of movement that occurs at each type of plate boundary. c. What is likely to occur at a plate boundary where oceanic crust collides with continental crust?

Perform the following indicated operation.

$$3.706-2.91$$

Discuss the terms to account for and accounted for.

Ashton is saving money to buy a new bike. He needs $120 but has only saved 60% so far. How much more money does Ashton need to buy the scooter?

Differentiate the functions with respect to the independent variable. (Note that log denotes the logarithm to base 10.) $f(x)=\ln \left(1-x^{3}\right)$

The rotor blades of a helicopter are 16 ft long and are rotating at 120 rpm. Find the angular speed of the rotor.

How do continental shelves vary from continental slopes? Which are the true edges of continents?

When fully inflated, a hot-air balloon has a volume of $1.6 \times 10^5~\text{L}$ at an average temperature of $387~\text{K}$ and $0.983~ \text{atm}$. Assuming that air has an average molar mass of $29~\text{ g/mol}$ what is the density of the air in the hot-air balloon? How does this compare with the density of air at STP?

How many joules of heat are required to heat $125 \mathrm{~g}$ aluminum from $19.0^{\circ} \mathrm{C}$ to $95.5^{\circ} \mathrm{C}$ ?

Mark estimates that he spends $\frac{3}{8}$ of his money on lunches. What percent of his money does he spend on lunches? A. 2.6% B. 3.75% C. 26% D. 37.5%

Air enters a radial blower with zero angular momentum. It leaves with an absolute tangential velocity, $V_{\theta}$, of 200 ft/s. The rotor blade speed at rotor exit is 170 ft/s. If the stagnation pressure rise across the rotor is 0.4 psi, calculate the loss of available energy across the rotor and the rotor efficiency.

The solid cylindrical rotor B has a mass of 43 kg and is mounted on its central axis C-C. The frame A rotates about the fixed vertical axis O-O under the applied torque M = 30 N·m. The rotor may be unlocked from the frame by withdrawing the locking pin P. Calculate the angular acceleration of the frame A if the locking pin is (a) in place and (b) withdrawn. Neglect all friction and the mass of the frame.

Suppose that today you invest some money that grows to the amount $A(t)=1000 \cdot 2^{t / 10}$ in t years.

a. How much money did you invest?

b. How long does it take to double your money?