To get off a frozen, frictionless lake, a $65.0\ \mathrm{kg}$ person takes off a $0.150\ \mathrm{kg}$ shoe and throws it horizontally, directly away from the shore with a speed of $2.00\ \mathrm{m/ s}$. If the person is $5.00\ \mathrm{m}$ from the shore, how long does he take to reach it?

Use each of the following terms in a separate sentence. subsidence

Use context clues and your knowledge of Latin words and roots to answer the following questions. The Latin word destinare means "to determine." What is the most likely meaning of destiny? A shame B fate C privilege D misfortunate

Fill in the blank with the term that best completes the following sentence. Modern scientific research uses scientific _________ to evaluate ideas.

Use the following term in a separate sentence. reservoir.

In a pairs figure-skating competition, a $65\ \mathrm{kg}$ man and his $45\ \mathrm{kg}$ female partner stand facing each other on skates on the ice. If they push apart and the woman has a velocity of $1.5\ \mathrm{m/ s}$ eastward, what is the velocity of her partner? (Neglect friction .)

A $60\ \mathrm{kg}$ astronaut floating at rest in space outside a space capsule throws his $0.50\ \mathrm{kg}$ hammer such that it moves with a speed of $10\ \mathrm{m/ s}$ relative to the capsule. What happens to the astronaut?

a. What is electron affinity? b. What signs are associated with electron affinity values, and what is the significance of each sign?

find approximate values of the solution of the given initial value problem at t=0.1, 0.2, 0.3, and 0.4.(a) Use the Euler method with h=0.05.(b) Use the Euler method with h=0.025.(c) Use the backward Euler method with h=0.05.(d) Use the backward Euler method with h=0.025. y'=(t2−y2)siny,y(0)=−1

Harvey claims that he annihilated a 1.00 lb bag of chocolate-chip cookies after playing basketball for 3 h. (a) If Harvey had truly annihilated the mass in the cookies, how much energy would be produced? (b) How any kilowatt-hours of electric energy is this?

Identify the following term or individuals and explain their significance. Indian Removal Act

Determine whether each equation is true or false. Where possible, show work to support your conclusion. If the statement is false, make the necessary change(s) to produce a true statement.

$$\frac { \log ( x + 2 ) } { \log ( x - 1 ) } = \log ( x + 2 ) - \log ( x - 1 )$$

How many points do football teams score in the Super Bowl? Here are the total numbers of points scored by both teams in each of the first 46 Super Bowl games: 45, 47, 23, 30, 29, 27, 21, 31, 22, 38, 46, 37, 66, 50, 37, 47, 44, 47, 54, 56, 59, 52, 36, 65, 39, 61, 69, 43, 75, 44, 56, 55, 53, 39, 41, 37, 69, 61, 45, 31, 46, 31, 50, 48, 56, 38. Construct a boxplot of the data.

The United States Postal Service delivers about

$$2 ^ { 8 } \cdot 5 ^ { 2 }$$

pieces of mail each second. There are

$$2 ^ { 8 } \cdot 3 ^ { 4 } \cdot 5 ^ { 2 }$$

seconds in 6 days. How many pieces of mail does the United States Postal Service deliver in 6 days? Write your answer as an expression involving powers.