15,254 Answered Questions for the topic precalculus

Precalculus Calculus

11/17/22

The count in a bacteria culture was 200 after 15 minutes and 1200 after 35 minutes. Assuming the count grows exponentially,

What was the initial size of the culture?   Find the doubling period.   Find the population after 80 minutes.   When will the population reach 13000
Precalculus

11/17/22

Two ships leave a port at 9 a.m. One travels at a bearing of N 53° W at 13 miles per hour, and the other travels at a bearing of S 67° W at s miles per hour.

Two ships leave a port at 9 a.m. One travels at a bearing of N 53° W at 13 miles per hour, and the other travels at a bearing of S 67° W at s miles per hour.Find the speed s that the second ship... more
Precalculus

11/17/22

What is the price (in dollars) of the land per acre? (Hint: 1 acre = 43,560 square feet. Round your answer to two decimal places.)

you want to buy a triangular lot measuring 1380 feet by 1840 feet by 2470 feet. The cost of the land is $62,000. What is the price (in dollars) of the land per acre? (Hint: 1 acre = 43,560 square... more
Precalculus

11/17/22

find the bearings for the last two legs of the race. (Round your answer to one decimal place.)

A boat race runs along a triangular course marked by buoys A, B, and C. The race starts with the boats headed west for 3600 meters. The other two sides of the course lie to the north of the first... more
Precalculus

11/17/22

Find the missing values by solving a parallelogram.(The lengths of the diagonals are given by c and d. Round your answers to two decimal places.)

Find the missing values by solving a parallelogram. (The lengths of the diagonals are given by c and d. Round your answers to two decimal places.)a = ____b = 21c = 42d = 38𝜃 = ____ °𝜑 = ____ °
Precalculus

11/17/22

write a function with the following properties

Write a function with the following properties: The type of function of f is cosine. The amplitude of f is 1. The period of f is 1π. The phase shift of f is (3/8)π to the left. The vertical... more
Precalculus Math Algebra 1 Algebra 2

11/17/22

The students in lab derived a function to model the results of their experiment on the effect of heat on a chemical where x represents the number of minutes heat was applied at a constant temperature.

In a chemistry class, the students in lab derived a function to model the results of their experiment on the effect of heat on a chemical where x represents the number of minutesheat was applied at... more
Precalculus Math Algebra 1 Algebra 2

11/17/22

Answer the following questions concerning a two-way flight from Miami to Dublin.

A plane made a two-way flight from Miami to Dublin. The trip from Miami to Dublin took four more hours than the return trip from Dublin to Miami. The cause for the difference in flight times were... more
Precalculus Math Algebra 1 Algebra 2

11/17/22

Solve the following algebraically

Solve  algebraically.*NOTE*Grade 12 Advanced Functions (MHF4U)Please answer clearly and neatly.Thanks
Precalculus Math Algebra 1 Algebra 2

11/17/22

State the reciprocal function of the following and state the equation(s) of any vertical asymptote(s) of the reciprocal function.

State the reciprocal function of f(x)  5x + 13x  6 and state the equation(s) of any vertical asymptote(s) of the reciprocal function.*NOTE*Grade 12 Advanced Functions (MHF4U)Please answer clearly... more
Precalculus

11/17/22

I dont understand this

You want to have $300,000 when you retire in 25 years. If you can earn 3% interest compounded continuously, how much would you need to deposit now into the account to reach your retirement goal?
Precalculus Math Calculus

11/17/22

On a Recent Trip to the Market Word Problem

On a recent trip to the market, you purchased 2 gallons of milk, 5 bottles of water, and 6 bags of chips. Your total bill (before tax) was $19.00. If a bottle of water costs twice as much as a bag... more
Precalculus

11/17/22

I dont understand how to solve this

You want to have $200,000 when you retire in 30 years. If you can earn 3% interest compounded monthly, how much would you need to deposit now into the account to reach your retirement goal?
Precalculus Math Calculus Mathematica

11/17/22

A power line is to be run to an offshore facility as shown in the figure above. The offshore facility is D = 2 miles at sea and L = 4 miles along the shoreline from the power plant.

A power line is to be run to an offshore facility as shown in the figure above. The offshore facility is D = 2 miles at sea and L = 4 miles along the shoreline from the power plant. It costs... more
Precalculus Math Calculus Mathematica

11/17/22

Find a positive number x such that the sum of 9x and 1/x is as small as possible. Does this problem require optimization over an open interval or a closed interval?

Find a positive number x such that the sum of 9x and 1/x is as small as possible.x = ?Does this problem require optimization over an open interval or a closed interval?
Precalculus Math Calculus Mathematica

11/17/22

Problem of Tartaglia (1500-1557): among all positive numbers a, b whose sum is 8, find those for which the product of the two numbers and their difference is largest.

Problem of Tartaglia (1500-1557): among all positive numbers a, b whose sum is 8, find those for which the product of the two numbers and their difference is largest. (Hint: Let x = a - b and... more

11/16/22

The admission fee at an amusement park is $1.50 for children and $6.80 for adults. On a certain day, 301 people entered the park, and the admission fees collected totaled $1008.

Write two equations given the following information. You may use the variables xx and yy. Then solve the system to find how many children and how many adults were admitted to the amusement park.The... more

11/16/22

The admission fee at an amusement park is $1.50 for children and $6.80 for adults. On a certain day, 301 people entered the park, and the admission fees collected totaled $1008.

Write two equations given the following information. You may use the variables xx and yy. Then solve the system to find how many children and how many adults were admitted to the amusement park.The... more
Precalculus

11/16/22

The point P in the figure below has y-coordinate 15 /17 .

I have to find sin(t), cos(t), tan(t) and sec(t) I know sin(t) is 15/17, I'm having trouble finding the rest
Precalculus

11/16/22

Consider the following graph of the function

Consider the following graph of the function f(x) which is a transformation of the sine function, g(x)=sin⁡(x). Find a formula for f(x).f(x)=   
Precalculus

11/16/22

consider the following graph for the function

Consider the following graph of the function f(x) which is a transformation of the sine function, g(x)=sin⁡(x). Find a formula for f(x).f(x)=   
Precalculus Math Calculus Mathematica

11/16/22

Let y = 4x^2. Find the change in y, Δy when x = 3 and x = 0.2. Find the differential dy when x = 3 and dx = 0.2.

Let y = 4x2.Find the change in y, Δy when x = 3 and Δx = 0.2Find the differential dy when x = 3 and dx = 0.2
Precalculus Math Algebra 1 Algebra 2

11/16/22

Math question easy

Describe the end behavior of each polynomial.(a)    y = x3 − 2x2 + 3x − 12End behavior:    y → as x → ∞y → as x → −∞(b)    y = −3x4 + 11x + 100End behavior:    y → as x → ∞y → as x → −∞
Precalculus Math Algebra 1

11/16/22

The count in a bacteria culture was 200 after 10 minutes and 1300 after 40 minutes. Assuming the count grows exponentially,

What was the initial size of the culture?   Find the doubling period.t  Find the population after 100 minutes.   When will the population reach 12000

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