15,254 Answered Questions for the topic precalculus

Precalculus Math

10/21/22

Approximate the logarithm using the properties of logarithms, given logb 2 ≈ 0.3562, logb 3 ≈ 0.5646, and logb 5 ≈ 0.8271. (Round your answer to four decimal places.)

Approximate the logarithm using the properties of logarithms, given logb 2 ≈ 0.3562, logb 3 ≈ 0.5646, and logb 5 ≈ 0.8271.(Round your answer to four decimal places.)logb(2b4)
Precalculus Math Algebra 1 Algebra 2

10/21/22

Use the exponential decay model, A=A o e^kt. The half-life of thorium-229 is 7310 years. Round answers to 6 decimal place.

Use the exponential decay model, A=A o e^kt. The half-life of thorium-229 is 7310 years. Round answers to 6 decimal place.
Precalculus Math Algebra 1 Algebra 2

10/21/22

Use the exponential decay model, A=A o e^kt. The half-life of thorium-229 is 7310 years. How long will it take for a sample of this substance to decay to 20% of its original amount?

Use the exponential decay model, A=A o e^kt. The half-life of thorium-229 is 7310 years. Round answers to 6 decimal place.
Precalculus Math Algebra 1 Algebra 2

10/21/22

A national fast-food company has just analyzed the effect of the latest sales promotion. It has determined that the sales for its milkshakes is given by S=335,000e^−0.7x,

A national fast-food company has just analyzed the effect of the latest sales promotion. It has determined that the sales for its milkshakes is given by S=335,000e^−0.7x, where S is the weekly... more
Precalculus Math Algebra 1 Algebra 2

10/21/22

The population of a certain country since January 1, 1910 can be approximated by the model below, where tt is the number of years since January 1, 1910.

The population of a certain country since January 1, 1910 can be approximated by the model below, where tt is the number of years since January 1, 1910.P(t)=56.58 / 1+7.2e^−0.02706twhere P is the... more

10/21/22

A herd of white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according to

A herd of white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according toA(t)=182 / 1+13e^−0.5twhere A is the number... more
Precalculus Math Algebra 1 Algebra 2

10/20/22

A national fast-food company has just analyzed the effect of the latest sales promotion. It has determined that the sales for its milkshakes is given by S = 335,000e^-0.7x,

A national fast-food company has just analyzed the effect of the latest sales promotion. It has determined that the sales for its milkshakes is given by S = 335,000e^-0.7x, where S is the weekly... more

10/20/22

The population of a certain country since January 1, 1910 can be approximated by the model below, where tt is the number of years since January 1, 1910.

The population of a certain country since January 1, 1910 can be approximated by the model below, where t is the number of years since January 1, 1910.P(t)=56.58 / 1 + 7.2e^-0.02706t where P is... more
Precalculus Math Algebra 1 Algebra 2

10/20/22

A herd of white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according to

A herd of white-tailed deer is introduced to a coastal island where there had been no deer before. Their population is predicted to increase according toA(t)=182 / 1 +13e^-0.5twhere A is the number... more
Precalculus

10/20/22

Supposed your family will be moving home, and they let you decide which house is better since you're moving to new school also.

Supposed your family will be moving home, and they let you decide which house is better since you're moving to new school also. Option 1 is located at (-2,3), while option 2 is located at (1,8),... more
Precalculus

10/20/22

Use the following to indicate

For the following functions, use "x" to indicate that the x-axis is an asymptote, "h" to indicate a horizontal asymptote other than the x axis, "v" to indicate a vertical asymptote, "s" to indicate... more
Precalculus

10/20/22

Zeros of Polynomial Functions

Find an nth- degree polynomial function with real coefficients satisfying the given conditions. If you are using a graphing utility, use it to graph the function and verify the real zeros and the... more
Precalculus

10/20/22

Find the radius and centre of a circle passing through (7, 1), (0, 0), (_1, 7).

Precalculus

10/19/22

The pointer on a voltmeter is 6 centimeters in length. Find the number of degrees through which the pointer rotates when it moves 3.0 centimeters on the scale.

The pointer on a voltmeter is 6 centimeters in length.Find the number of degrees through which the pointer rotates when it moves 3.0 centimeters on the scale. (Round your answer to two decimal... more
Precalculus

10/19/22

A carousel with a 50-foot diameter makes 5 revolutions per minute.

A carousel with a 50-foot diameter makes 5 revolutions per minute. (a) Find the angular speed of the carousel in radians per minute. (Round your answer to two decimal places.)____radians per... more
Precalculus

10/19/22

Find the area wiped by the wiper blade. (Round your answer to one decimal place.)

A car's rear windshield wiper rotates 130°. The total length of the wiper mechanism is 22 inches and the length of the wiper blade is 13 inches. Find the area wiped by the wiper blade. (Round your... more
Precalculus

10/19/22

Find the distance between the cities. Assume that Earth is a sphere of radius 4000 miles and that the cities are on the same longitude

Find the distance between the cities. Assume that Earth is a sphere of radius 4000 miles and that the cities are on the same longitude (one city is due north of the other). (Use the formula for arc... more
Precalculus

10/19/22

Find the area of the sector (in km2) of a circle of radius r and central angle 𝜃. (Round your answer to two decimal places.)

Find the area of the sector (in km2) of a circle of radius r and central angle 𝜃. (Round your answer to two decimal places.)r = 4.5 kilometers,  𝜃 = 135°_______km^2
Precalculus

10/19/22

Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in degrees. (Enter your answers as comma-separated lists.)

Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in degrees. (Enter your answers as comma-separated lists.)(a)    150° (b)    −240° 
Precalculus

10/19/22

Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians.

Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (Enter your answers as comma-separated lists.) a) 2𝜋/3 ... more
Precalculus

10/19/22

Use the inverse of the coefficient matrix of this system to find the amount invested in each type of bond for the given total investment and annual return.

You invest in AAA-rated bonds, A-rated bonds, and B-rated bonds. The average yields are 4.5% on AAA bonds, 5% on A bonds, and 9% on B bonds. You invest twice as much in B bonds as in A bonds.... more
Precalculus

10/19/22

The Law of Sines

Paul's dog ran out of the house. It ran 19 meters, turned and ran 12 meters, and then turned 155°to face the house. How far away from the house is Paul's dog? Round to the nearest hundredth.___ meters more

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