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...
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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...
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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...
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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...
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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...
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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...
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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) =
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...
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12/13/20
Evaluate the sine, cosine, and tangent of the angle without using a calculator.
-7𝜋/6sin (𝜃) = cos (𝜃) =tan (𝜃) =
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) =
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)
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...
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12/13/20
Evaluate the trigonometric function of the quadrant angle. (If an answer is undefined, enter UNDEFINED.) cot(𝜋)
cot (𝜋) = ______
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) =
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
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...
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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...
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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...
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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...
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