Determine whether each statement is true or false. If it is false, tell why.

Every pure imaginary number is a complex number.

Find dy/dx of y = e raised to (ln (x squared + 1)).

Look at the following statement:
numbers = [10, 20, 30, 40, 50]
a. How many elements does the list have?
b. What is the index of the first element in the list?
c. What is the index of the last element in the list?

Infection that weakens the heart muscle is called _______.

The wattage of an appliance indicates the average power consumption in watts $(W)$, where $1 \mathrm{~W}=1 \mathrm{~J} / \mathrm{s}$. What is the difference in the number of $\mathrm{kJ}$ of energy consumed per month between a refrigeration unit that consumes $625 \mathrm{~W}$ and one that consumes $855 \mathrm{~W}$ ? If electricity costs $\$ 0.15$ per $\mathrm{kWh}$, what is the monthly cost difference to operate the two refrigerators? (Assume $30.0$ days in one month and $24.0$ hours per day.)

When a 0.80-kg crown is submerged in water, its apparent weight is measured to be 7.3 N. Is the crown pure gold?

What is the product of two squared and two to the sixth power? express using exponents.

If you left a board lying on the grass for a few days, what would happen to the grass underneath the board? Why?

Find the molar solubility of SrCO3 (Ksp = 5.4 $\times$ 10 - 10) in pure water

Calculate the root mean square velocity and kinetic energy of $CO, CO_2$, and $SO_3$ at 298 K. Which gas has the greatest velocity? The greatest kinetic energy? The greatest effusion rate?

How would you obtain pure water from seawater?

Draw the apparatus, and explain how the method works.

Use a graphing utility to approximate (rounded to two decimal places) the local maximum value and local minimum value of $f(x)=x^{3}-2 x^{2}-4 x+5,$ for -3 < x < 3.

A sample of 250 observations is selected from a normal population for which the population standard deviation is known to be 25. The sample mean is 20. a. Determine the standard error of the mean. b. Explain why we can use formula to determine the 95 percent confidence interval. c. Determine the 95 percent confidence interval for the population mean

Suppose that queue is an object of type queueType of size 50, queue contains 20 elements, and the index of the first element of queue is 35.

• After removing the next element from queue, what is the index of the first element?