A person's basal metabolic rate (BMR) is the rate at which energy is expended while resting in a neutrally temperate environment. A typical BMR is $7.00 \times 10^{6}$ J/day. Convert this BMR to units of watts. Find the rate of change of the object's height in m/s.

A 55-kg woman cheats on her diet and eats a 540-Calorie (540 kcal) jelly doughnut for breakfast. How many stairs must the woman climb to perform an amount of mechanical work equivalent to the food energy in one jelly doughnut? Assume the height of a single stair is 15 cm.

A cosmic ray travels 60 km through the earth’s atmosphere in $400 \mu \mathrm{s}$, as measured by experimenters on the ground. How long does the journey take according to the cosmic ray?

A person standing 1.00 m from a portable speaker hears its sound at an intensity of $7.50 \times 10^{-3} \mathrm{W} / \mathrm{m}^{2}$. Find the decibel level at a distance of 35.0 m.

The rainbow of visible colors in the electromagnetic spectrum varies continuously from the longest wavelengths (the reddest colors) to the shortest wavelengths (the deepest violet colors) our eyes can detect. Wavelengths near 655 nm are perceived as red. Those near 515 nm are green and those near 475 nm are blue. Calculate the frequency of light with a wavelength of 475 nm.

A 75-kg sprinter accelerates from rest to a speed of 11.0 m/s in 5.0 s. Calculate the average power the sprinter must generate.

A 75-kg sprinter accelerates from rest to a speed of 11.0 m/s in 5.0 s. If the sprinter converts food energy to mechanical energy with an efficiency of 25%, at what average rate is he burning Calories?

A 75-kg sprinter accelerates from rest to a speed of 11.0 m/s in 5.0 s. Calculate the mechanical work done by the sprinter during this time.

Convert $3.50 \times 10^{3}$ cal to the equivalent number of kilocalories (also known as Calories, used to describe the energy content of food)

A 55-kg woman cheats on her diet and eats a 540-Calorie (540 kcal) jelly doughnut for breakfast. How many joules of energy are the equivalent of one jelly doughnut?

A high-end gas stove usually has at least one burner rated at 14 000 Btu/h. (a) If you place a 0.25-kg aluminum pot containing 2.0 liters of water at 20$^ { \circ } \mathrm { C }$ on this burner, how long will it take to bring the water to a boil, assuming all the heat from the burner goes into the pot? (b) Once boiling begins, how much time is required to boil all the water out of the pot?

Pennington Oil is in the 50% effective tax bracket. It had gross income of $470 million in each of the last 2 years. In the first year, deductions were$160 million. In the second year, deductions were lower at $120 million. The difference in income taxes paid by the company in the 2 years was closest to: (a)$10 million (b) $20 million (c)$50 million (d) $40 million

Write the solution set in interval notation. $x^{2}-x-6<0$

Solve each inequality. Give the solution set in interval notation. $|5-3 x| \leq 7$