2,195 Answered Questions for the topic Pre Calculus

12/13/20

The 1906 San Francisco earthquake had a magnitude of 7.9 on the MMS scale...?

The 1906 San Francisco earthquake had a magnitude of 7.9 on the MMS scale. Around the same time there was an earthquake in South America with magnitude 6.1 that caused only minor damage. How many... more

12/13/20

A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit..?

A roasted turkey is taken from an oven when its temperature has reached 185 Fahrenheit and is placed on a table in a room where the temperature is 75 Fahrenheit. Give answers accurate to at least 2... more

12/13/20

The count in a bacteria culture was 300 after 10 minutes and 1400 after 40 minutes..?

The count in a bacteria culture was 300 after 10 minutes and 1400 after 40 minutes. Assuming the count grows exponentially,What was the initial size of the culture?   Find the doubling... more

12/13/20

The doubling period of a bacterial population is 15 minutes...?

The doubling period of a bacterial population is 15 minutes. At time t=120 minutes, the bacterial population was 60000.What was the initial population at time t = 0?Find the size of the bacterial... more

12/13/20

A bacteria culture initially contains 2500 bacteria and doubles every half hour..?

A bacteria culture initially contains 2500 bacteria and doubles every half hour.Find the size of the bacterial population after 20 minutes. Find the size of the bacterial population after 7 hours.

12/13/20

How long ago, to the nearest year, was the artifact made?

A wooden artifact from an ancient tomb contains 35 percent of the carbon-14 that is present in living trees. How long ago, to the nearest year, was the artifact made? (The half-life of carbon-14 is... more

12/13/20

At the beginning of an experiment, a scientist has 356 grams of radioactive goo..?

At the beginning of an experiment, a scientist has 356 grams of radioactive goo. After 225 minutes, her sample has decayed to 5.5625 grams.What is the half-life of the goo in minutes? Find a... more
Pre Calculus Precalculus Pre Calculus

12/13/20

Find the values of the six trigonometric functions of 𝜃. (If an answer is undefined, enter UNDEFINED.)

Function Value: cos (𝜃) = -8/17Constraint: 𝜃 lies in Quadrant IIIsin (𝜃) = cos (𝜃) = tan (𝜃) = csc (𝜃) = sec (𝜃) = cot (𝜃) =
Pre Calculus Precalculus Pre Calculus

12/13/20

The Johnstown Plane is one of the longest, steepest hoists in the world. The railway cars travel a distance of 896.5 ft at an angle of approximately 35.4°, to a height of 1693.5 ft above sea level.

(Round your answers to two decimal places.)(a) Find the vertical rise of the inclined plane.______ ft(b) Find the elevation of the lower end of the inclined plane._______ ft(c) The cars move up... more
Pre Calculus Precalculus Pre Calculus

12/13/20

Evaluate the sine, cosine, and tangent of the angle without using a calculator.

-7𝜋/6sin (𝜃) = cos (𝜃) =tan (𝜃) =
Pre Calculus Precalculus Pre Calculus

12/13/20

State the quadrant in which 𝜃 lies.

sin(𝜃) < 0 and cos(𝜃) < 0a. Ib. IIc. IIId. IV
Pre Calculus Precalculus Pre Calculus

12/13/20

The point is on the terminal side of an angle in standard position. Determine the exact values of the six trigonometric functions of the angle.

(5, −9)sin (𝜃) =cos (𝜃) =tan (𝜃) =csc (𝜃) =sec (𝜃) =cot (𝜃) =
Pre Calculus Precalculus Pre Calculus

12/13/20

Find the reference angle 𝜃 ' for the special angle 𝜃.

𝜃 = −305°𝜃 ' =Sketch 𝜃 in standard position and label 𝜃 '. left (a), right (b), down below left (c), down below right (d)
Pre Calculus Precalculus Pre Calculus

12/13/20

A six-foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight... (more down below)

When the person is 12 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow.(a) Draw a right triangle... more
Pre Calculus Precalculus Pre Calculus

12/13/20

Use the given value and the trigonometric identities to find the remaining trigonometric functions of the angle.

sec(𝜃) = -3/2, cot(𝜃) < 0sin(𝜃) = cos(𝜃) =tan(𝜃) = csc(𝜃) =cot(𝜃) =
Pre Calculus Calculus Precalculus Calc

12/13/20

Use the compound interest formula to find the future value A for the following values.

Use the compound interest formula to find the future value A for the following values.P=$1,500i=0.046n=27A=$______ ​(Round to the nearest​ cent.)
Pre Calculus

12/12/20

Find the polynomial function f with zeros 2/3 and 4i, and which f(3)=-525

Pre Calculus Algebra 2 Calculus Algebra

12/12/20

Preform a mathematical induction proof

1•12+2•13+3•14+...+n(n+11)=n(n+1)(n+17) / 3
Pre Calculus Precalculus

12/11/20

Solve the Equation

Jack and Tyler went shopping for summer clothes. The shirts were $12.47 each and the shorts were $17.23 per pair. Jack and Tyler spent a total of $156.21 on 11 items. How many shirts and pairs of... more
Pre Calculus Calculus Calc Precalc

12/10/20

If one can is selected at random from the​ cooler, determine the probability that the soda selected is ginger ale​, orange soda, or root beer.

A cooler at a picnic contains 100 cans of soda covered by ice. There are 34 cans of​ cola, 38 cans of orange​ soda, 11 cans of ginger​ ale, and 17 cans of root beer. The cans are all the same... more

12/10/20

A survey of 1200 people in a certain city indicates that 830 own microwave​ ovens, 720 own DVD​ players, and 570 own microwave ovens and DVD players.

A survey of 1200 people in a certain city indicates that 830 own microwave​ ovens, 720 own DVD​ players, and 570 own microwave ovens and DVD players.​(A) How many people in the survey own either a... more

12/10/20

If one can is selected at random from the​ cooler, determine the probability that the soda selected is root beer​, ginger ale, or cola.

A cooler at a picnic contains 100 cans of soda covered by ice. There are 19 cans of​ cola, 34 cans of orange​ soda, 46 cans of ginger​ ale, and 1 cans of root beer. The cans are all the same size... more

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