Earth Science

Q: Simplify the expression. Express your answer using only positive exponents.

Q: The land area of the Earth is approximately 1.484 108 km2 . In 1980, the population of the Earth was approximately 4,483,000,000. What was the population density (in people/km2) of the Earth in 1980? Round your answer to 2 decimal places.

Q: What values of x would make this true?

Q: True or False. A) TrueB) False

Q: Evaluate:

Q: Express in meters, using powers of 10. 3.7 x 10-9 meters

Q: Express using a metrix prefix.7.1 x 1012 meters

Q: Express in meters, using powers of 10. 7.3 dekameters

Q: Express in meters, using powers of 10.8.1 micrometers

Q: Express as a power of 10. 1/()

Q: Express as a power of 10.

Q: Convert to decimal notation.1.71 x 10-5

Q: Convert to scientific notation.

Q: Convert to decimal notation. -1.63 x 106

Q: Convert to scientific notation. -7,050,000

Q: Create a graph for the piecewise function.

Q: Create a piecewise function to describe the following graph.

Q: Create a graph for the piecewise function.

Q: Create a piecewise function to describe the following graph.

Q: Schiel Construction and Excavating charges a destination fee of $200 plus $80 per hour for jobs that take less than 3 hours. For jobs that take 3 or more hours, but less than 8 hours, the destination fee is $175 and the hourly charge is $75. For jobs taking 8 hours or more, the charge is simply $70 per hour. What the charge be for a job that takes 18 hours?

Q: Schiel Construction and Excavating charges a destination fee of $150 plus $80 per hour for jobs that take less than 3 hours. For jobs that take 3 or more hours, but less than 8 hours, the destination fee is $125 and the hourly charge is $75. For jobs taking 8 hours or more, the charge is simply $70 per hour. Create a peicewise function to describe the charge for a job.

Q: Use the appropriate Tax Rate Schedule below to answer the questions. Schedule Z-A " Use if your filing status is married filing jointly If your taxable income is over: but is not over: Then your tax owed is... of the amount over " 0 33,950 15.0% 0 33,950 87,700 5,092.50 + 28.0% 33,950 87,700 142,000 20,142.50 + 31.0% 87,700 142,000 278,450 36,975.50 + 36.0% 142,000 278,450 ........ 86,097.50 + 39.6% 278,450 Schedule Z-B " Use if your filing status is single If your taxable income is over: but is not over: Then your tax owed is... of the amount over " 0 18,550 15.0% 0 18,550 44,900 2,782.50 + 28.0% 18,550 44,900 93,130 10,160.50 + 33.0% 44,900 A) Find the taxed owed by someone whose filing status is single and whose taxable income is $48,000. B) Find how much more or less this taxpayer would pay with a flat tax of 20%. If less enter your answer as negative. Round answers to 2 decimal places.

Q: Use the appropriate Tax Rate Schedule below to answer the questions. Schedule Z-A " Use if your filing status is married filing jointly If your taxable income is over: but is not over: Then your tax owed is... of the amount over " 0 33,950 15.0% 0 33,950 87,700 5,092.50 + 28.0% 33,950 87,700 142,000 20,142.50 + 31.0% 87,700 142,000 278,450 36,975.50 + 36.0% 142,000 278,450 ........ 86,097.50 + 39.6% 278,450 Schedule Z-B " Use if your filing status is single If your taxable income is over: but is not over: Then your tax owed is... of the amount over " 0 18,550 15.0% 0 18,550 44,900 2,782.50 + 28.0% 18,550 44,900 93,130 10,160.50 + 33.0% 44,900 A) Find the taxed owed by someone whose filing status is married filing jointly and whose taxable income is $203,500. B) Find how much more or less this taxpayer would pay with a flat tax of 18%. If the 18% flat tax is less enter your answer as negative. Round answers to 2 decimal places.

Q: In a typical overtime pay scheme workers are paid at a fixed hourly rate for the first 40 hours they work, and for any hours beyond 40 they are paid at 1.5 times their hourly rate. For example, a worker who makes $16 per hour and works 45 hours, 5 of which are overtime at 1.5 x 16 = $24 per hour, will make: (16$/hr x 40 hr) + (24 $/hr x 5 hr) = $640 + $120 = $760 Complete the function that describes the pay, P, for a worker making $10 as a function of the hours worked, h, for up to 60 hours by finding the unknown values (A, B, C, D, and E) in the function,

Q: Use the graph to find the value for each unknown (A, B, C, D, and E) in the function.

Q: Choose the graph that best fits the function. A) B) C) D)

Q: Evaluate the piecewise function. Evaluate

Q: The safe capacity (in pounds) of a portable propane tank is given by the formula: Cmax = 19 - 0.012T. Where T is the current temperature. When the temperature is 41, is it safe to fill the tank to a capacity of 19.29 pounds?

Q: The Wisconsin Agricultural Extension office publishes recommendations for farmers. A recent publication stated that dairy cows should be fed corn (C) according to their production (P) of milk, with the minimum amount of corn being given by the equation Cmin = 0.36P + 5 and the maximum amount of corn being Cmax = 0.39P + 7. Create a system of inequalities to describe the recommendation.

Q: The Wisconsin Agricultural Extension office publishes recommendations for farmers. A recent publication stated that dairy cows should be fed corn (C) according to their production (P) of milk, with the minimum amount of corn being given by the equation Cmin = 0.33P + 5 and the maximum amount of corn being Cmax = 0.39P + 7. According to this recommendation, what would be the maximum amount of corn that should be fed to a cow that is producing 67 pounds of milk?

Q: Create a compound inequality to describe the shaded region on the graph:

Q: On the grid provided, graph and shade in the areas described by the compound inequality: y > x + 1 y x 2

Q: On the grid provided, graph and shade in the areas described by the linear inequality: x < 3

Q: On the grid provided, graph and shade in the areas described by the linear inequality: y > -3

Q: On the grid provided, graph and shade in the areas described by the linear inequality: x 3y < -3

Q: On the grid provided, graph and shade in the areas described by the linear inequality:

Q: Create an inequality to describe the shaded region.

Q: Select an inequality to describe the shaded region. A) B) C) D)

Q: On the grid provided, graph and shade in the areas described by the linear inequality: y > x 2

Q: Create an inequality to describe the shaded region.

Q: Select an inequality to describe the shaded region. A) y > x 1 B) y < x 1 C) y < x 1 D) y < x 1

Q: Select an inequality to describe the shaded region. A) y < 2x 2 B) y < 2x 2 C) y > 2x 2 D) y < -2x 2

Q: Use an inequality to describe the shaded region.

Q: On the grid provided, graph and shade in the areas described by the linear inequality: y < 2x 2

Q: Determine whether is a solution to the following system. A) It is a solution. B) It is not a solution.

Q: Determine whether is a solution to the following system. A) It is not a solution. B) It is a solution.

Q: A company produces a product that sells for $ 22, giving them a revenue of when x units are produced and sold. They have fixed costs of $ 364 and variable costs of $ 18 per unit. A) Find a formula for their total cost, C, as a function of the number of units produced and sold, x. B) Find their breakeven point.

Q: The ski club wishes to raise money for this year's ski competitions. The club decides to sell shorts and t-shirts with the ski team logo for $12 for a pair of shorts and $13 for a t-shirt. At the end of the fundraiser, 166 items had been sold and a total of $2078 had been raised for the club. How many of each item were sold?

Q: A homeowner wishes to have a ramp built to the door of her house. If the ground slopes up at a rate of 1 foot of rise for every 12 feet of run, and the ramp is to slope down at a rate of 1 foot of drop for every 15 feet of run, how far away from the house does the ramp need to start in order to reach a door that is 4.5 feet from the ground?

Q: A large freight truck leaves the terminal at 8:00 a.m. on a cross-country run. At 9:00 a.m., it is discovered that one package was left behind at the terminal. A small truck leaves the terminal at 9:00 a.m. to catch the large truck. If the large truck is moving at 60 miles per hour and the small truck travels at 70 miles per hour, how long (in hours) will it take the small truck to catch the large truck?

Q: Matwirth wants to invest a total of $30,000 into two investments. The first investment pays 3% interest, and the second investment pays 4.5% interest. If after 1 years, he wants the total interest from both investments to be $1,185, how much should he invest in each account?

Q: Solve the system of equations using elimination. 3x + 2y - 3z = 15 2x - 3y + 4z = -15 2x - 3y - 2z = -3

Q: Solve the system of equations by substitution. y = 3x + 2z - 7 x = -4y 4 -5 = 2x + 2y - z

Q: 1x + 3.1y = 8.2 4x - 2.7y = -18.8

Q: Solve the system of equations. Express the answers in decimal form if necessary.

Q: Solve the system of equations. Express the answers in fraction form if necessary.

Q: State whether the system of equations has "One solution", "No solution", or "Infinitely many solutions". -3x + y = 11 -2x + 3y = 12

Q: State whether the system of equations illustrated by each graph has "One solution", "No solution", or "Infinitely many solutions".

Q: A company assumes a linear relationship exists between the consumer demand for its product and the price charged, p. When the price of its product was $4 per unit, the weekly quantity demanded was 302 units, and when the unit price was raised to $5, the weekly quantity demanded dropped to 296 units. A) Write a formula for D, the weekly quantity demanded for the product when the price per unit is p dollars. B) Suppose also that there is a linear relationship between the quantity supplied S of the product and the unit price. p. Suppose that the weekly quantity supplied is 254 when the price is $5 and that the quantity supplied rises by 8.4 units when the price rises by $1.4. Write a formula for S, the weekly quantity supplied when the price of the product is p dollars. C) The market clearing price or equilibrium point is the price at which supply equals demand. Find the market clearing price for the product.

Q: AAA Car Rental charges $44 per day plus $0.15 for each mile driven. CCC Car Rental charges $29 per day plus $0.2 per mile driven. A) Write a linear function that gives the cost, C, to rent a car for one day from AAA Car Rental as a function the number of miles driven, m. B) Write a linear function that gives the cost, C, to rent a car for one day from CCC Car Rental as a function the number of miles driven, m. C) How many miles must you drive in one day before AAA Car Rental is your better choice?

Q: A shopkeeper has two types of coffee beans on hand. One type sells for $3.20 per lb, the other for $6.00 per lb. How many pounds of the $3.20 per lb coffee beans must be used in the mixture to produce 55 lbs of a blend that sells for $3.62 per lb? Round your answer to 2 decimal places.

Q: Determine the number of solutions of the system. A) one B) an infinite number C) zero D) two

Q: Determine the number of solutions of the system. A) zero B) an infinite number C) one D) two

Q: Solve the system. If the system is either inconsistent or dependent, enter either inconsistent or dependent.

Q: Solve the system of equations. If the system is either inconsistent or dependent, enter either inconsistent or dependent.

Q: Solve the system. If the system is either inconsistent or dependent, enter either inconsistent or dependent.

Q: Solve the system.

Q: Solve the system by substitution.

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