Question 1

During a nuclear explosion, a fireball will be produced having a maximum volume V₀. For temperatures below 2,000 K and a given explosive force, the volume V of the fireball t seconds after the explosion can be estimated using the given formula. (Note that the kelvin is abbreviated as K, not ^oK.) Approximate t when V is 88% of V₀. Round the answer to the nearest thousandth of a second.

Accepted Answer

The answer of During a nuclear explosion, a fireball will...

Question 2

Solve the equation

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The answer of Solve the equation 
...

Question 3

The speed of the current in a stream is 2.2 mi/hr. It takes a canoeist 40 minutes longer to paddle 1.9 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? Round the answer to the nearest tenth of a mile per hour.

Accepted Answer

The answer of The speed of the current in a...

Question 4

Solve the equation

Accepted Answer

The answer of Solve the equation 
...

Question 5

Solve the equation by using the special quadratic equation.

Accepted Answer

The answer of Solve the equation by using the special...

Question 6

Solve the equation

Accepted Answer

The answer of Solve the equation 
...

Question 7

Find the values of x and y, where x and y are real numbers.

Accepted Answer

The answer of Find the values of x and y,...

Question 8

Write the expression  in the form  , where a and b are real numbers.

Accepted Answer

The answer of Write the expression  in the form...

Question 9

Solve the equation.

Accepted Answer

The answer of Solve the equation. 
...

Question 10

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
...

Question 11

A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft ² of glass is to be used, find the height h.

Accepted Answer

The answer of A stained-glass window is being designed in...

Question 12

Write the expression  in the form  , where a and b are real numbers.

Accepted Answer

The answer of Write the expression  in the form...

Question 13

A consumer is trying to decide whether to purchase car A or car B. Car A costs $10,000 and has an mpg rating of 30, and insurance is $450 per year. Car B costs $11,800 and has an mpg rating of 50, and insurance is $500 per year. Assume that the consumer drives 15,000 miles per year and that the price of gas remains constant at $1.25 per gallon. Based only on these facts, determine how long it will take for the total cost of car B to become less than that of car A.

Accepted Answer

Car B has a higher initial cost but better fuel efficiency. Calculate the annual fuel cost for both cars and compare the total costs over time. Car B becomes cheaper after 9 years.

Question 14

Solve the inequality.

Accepted Answer

The answer of Solve the inequality. 
...

Question 15

Find the values of x and y, where x and y are real numbers.

Accepted Answer

The answer of Find the values of x and y,...

Question 16

Solve the equation.

Accepted Answer

The answer of Solve the equation. 
...

Question 17

Solve the formula for  .

Accepted Answer

The answer of Solve the formula for  . 
...

Question 18

Solve the equation.

Accepted Answer

The answer of Solve the equation. 
...

Question 19

The boundary of a city is a circle of diameter L = 9 miles. As shown in the figure, a straight highway runs through the center of the city from A to B. The highway department is planning to build a 10-mile-long freeway from A to a point P on the outskirts and then to B. Find the distance from A to P. (Hint: APB is a right triangle.) Round the answer to the nearest tenth of a mile.

Accepted Answer

The answer of The boundary of a city is a...

Question 20

Solve the equation.

Accepted Answer

The answer of Solve the equation. 
...

Quiz 2: Equations and Inequalities

Solve the equation

The speed of the current in a stream is 2.2 mi/hr. It takes a canoeist 40 minutes longer to paddle 1.9 miles upstream than to paddle the same distance downstream. What is the canoeist's rate in still water? Round the answer to the nearest tenth of a mile per hour.

Solve the equation

Solve the equation by using the special quadratic equation.

Solve the equation

Find the values of x and y, where x and y are real numbers.

Write the expression in the form , where a and b are real numbers.

Solve the equation.

Solve the inequality.

A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft 2 of glass is to be used, find the height h.

Write the expression in the form , where a and b are real numbers.

Solve the inequality.

Find the values of x and y, where x and y are real numbers.

Solve the equation.

Solve the formula for .

Solve the equation.

Solve the equation.

A stained-glass window is being designed in the shape of a rectangle surmounted by a semicircle, as shown in the figure. The width of the window is to be 2 feet, but the height h is yet to be determined. If 22 ft ² of glass is to be used, find the height h.