Math review lab - astro 1020L

In 2010, the population of the United States is about 281 million people. The national debt is 13.6 trillion dollars (one trillion is 1012). How much would each person have to contribute to pay off the debt?

$48,400 per person

Convert the following to decimal format: 9.301 x 10^-5

0.00009301

A small comet orbits the sun at an average distance, a, of 3.25 AU (Astronomical Units). The closest distance it gets to the sun is d = 0.90 AU. Using the formula below, find how elongated (e) the orbit is.

0.727

If one foot equals 12 inches and one mile is 5280 feet, how many miles are in 50000 inches?

0.79 mi

Convert the following to scientific notation: 101100.

1.011 x 10^5

Convert the following to scientific notation: 0.0102.

1.02x10^-2

Solve the following expressions. Write your answers in scientific notation: (6.125 x 10^3)x(2.345 x 10^-4)

1.436 x 10^0 or 1.436

Solve the following expressions. Write your answers in scientific notation: (6.125 x 10^3)x(2.345 x 10^4)

1.436 x 10^8

Solve the following expressions. Write your answers in scientific notation: (6.2 x 10^4)/(0.4 x 10^-5)

1.55 x 10^10

Solve the following expressions. Write your answers in scientific notation: 3700.13 x (6.04 x 10^4)

2.23 x 10^8

An object is measured to be 23 degrees 15' 47" arcseconds away from another object. If there are 60' in 1 degree and 60" in 1', convert the angle into decimal form.

23.263

A spacecraft is traveling at a speed of 2.3 km/sec. It takes 2.5 minutes to pass a small asteroid. how wide is the asteroid (i.e., how far did the spacecraft travel during this time)? Use (distance) = (velocity) x (time)

345 km

The figure in the lab textbook shows an object in orbit around the Sun. the scale of the figure is shown by the bar. Using a ruler, measure the length of the bar. Use this to determine the distance from the Sun to the object in AU's.

6.0 AU

Convert the following to scientific notation: 0.00000672.

6.72x10^-6

A day on Saturn lasts 10 hours and 16 minutes. If 34 Earth days have passed between two visits of a probe, how many days has it been on Saturn?

79 Saturn days

Convert the following to decimal format: 9.301 x 10^7

93,010,000

Convert the following to decimal format: 9.301 x 10^2

930.1

Graph 2 (see lab texbook) shows how the position of a moon around a planet changes. Find the period by counting the number of days between two peaks. Find the size of the orbit by reading the value of either the highest point or lowest point.

Period: P = 10 Size of orbit: a = 3.75

Solve for a: d^3a^2 = b^2dc^4

a = bc^2/d

a) Express the result of the following subtraction in the correct number of significant figures: b) Express the result of the following division in the correct number of significant figures:

a. 5.67 - 1.1 - 0.9378 = 3.6 b. 0.54 / 2.07 = 0.26

Find the average of the following numbers: 150.4, 148.2, 149.6, 151.0, 150.8, 149.8

average = (150.4 + 148.2 + 149.6 + 151.0 + 150.8 + 149.8) / 6 = 150.0

Solve the following expressions for a: d^2ca = b^4c^3a^2

d^2/(b^4c^2) = a

Solve for a: g^6 = at^4/b

g^6b/t^4 = a

How many significant figures does each of the following numbers contain?

significant figures in 4009: 4 significant figures in 7.90: 3 significant figures in 0.046: 2

The following table shows values of rocket thrust. Graph the values on the template for Graph 1 (see lab textbook). Draw a straight line that best fits the points and find the slope of that line.

slope is 0.235, draw a linear line from 0,0.