Tutors Answer Your Questions about Functions (FREE)
Question 1153885: A construction crew is lengthening a road. Let "L" be the total length of the road (in miles). Let "D" be the number of days the crew has worked. Suppose that
L=3D+300 gives "L" as a function of "D".
The crew can work for at most 70 days.
Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values.
Domain Description of Values
a.) length of road in miles
b.) number of days crew has worked
Set of Values
a.) all real numbers from 0-70
b.) all real numbers from 3-300
c.) all real numbers from 300-510
d.) {70, 71, 72, 73, ...}
e.) {0, 1, 2, 3, ..., 300}
f.) {3, 6, 9, 12, ...}
Range
Description of Values
a.) length of road in miles
b.) number of days crew has worked
Set of Values
a.) all real numbers from 0-70
b.) all real numbers from 3-300
c.) all real numbers from 300-510
d.) {70, 71, 72, 73, ...}
e.) {0, 1, 2, 3, ..., 300}
f.) {3, 6, 9, 12, ...}
Click here to see answer by josgarithmetic(39613)  |
Question 1154114: Select ALL the correct answers.
Let f(t) be the amount of garbage, in tons, produced by a city, and let t be the time in years after 2000.
Which statements are true for the given function?
The dependent variable is f(t).
When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced."
When f(12) = 2,155, the 12 represents "12 tons of garbage produced," and the 2,155 represents "the year 2155."
The independent variable is t.
The independent variable is f(t).
The dependent variable is t.
When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced."
Click here to see answer by MathLover1(20849)  |
Question 1154553: Hi, I admire people with the gift of numbers, but I wasnt blessed with the talent. Id like help with solving for variable in terms of other variables?
a. The pressure, temperature, and volume of an ideal gas are related by the equation . Solve this equation for T, which is the temperature in degrees Kelvin.
b. The amount of a certain population with limited resources is given by the equation . Solve this equation for the constant b. Write your answer so that there is no negative exponent.
Thank you
Click here to see answer by MathLover1(20849) |
Question 1154553: Hi, I admire people with the gift of numbers, but I wasnt blessed with the talent. Id like help with solving for variable in terms of other variables?
a. The pressure, temperature, and volume of an ideal gas are related by the equation . Solve this equation for T, which is the temperature in degrees Kelvin.
b. The amount of a certain population with limited resources is given by the equation . Solve this equation for the constant b. Write your answer so that there is no negative exponent.
Thank you
Click here to see answer by Alan3354(69443)  |
Question 1154553: Hi, I admire people with the gift of numbers, but I wasnt blessed with the talent. Id like help with solving for variable in terms of other variables?
a. The pressure, temperature, and volume of an ideal gas are related by the equation . Solve this equation for T, which is the temperature in degrees Kelvin.
b. The amount of a certain population with limited resources is given by the equation . Solve this equation for the constant b. Write your answer so that there is no negative exponent.
Thank you
Click here to see answer by ikleyn(52747)  |
Question 1154964: Find the cartesian eq'n of the following parametrics:
 ,  
I tried x-y and x+y but still s or s^2 left. Also I tried making s^2 subject and s subject in each one and tried subbing in each other to cancel out the s's, so close but didn't work.
Last thing I tried was squaring both sides for each but could not get rid of the 
Please help, thank you very much.
Click here to see answer by greenestamps(13195)  |
Question 1154980: Can you help me with this problem I'm stuck. A mechanic has a 55-gallon drum filled with a solution that she uses to clean tools. She estimates that she uses two gallons of this solution each week. Which of the equations below best represents the amount of the solution (S) as a function of the number of weeks (w)?
S(w) = 2w
S(w) = 2w + 55
S(w) = 2w - 55
S(w) = 55 - 2w
Click here to see answer by MathLover1(20849) |
Question 1154984: Can you please help I don't get it. Consider a mechanic who has a 55-gallon drum filled with a solution that she uses to clean tools. She estimates that she uses two gallons of this solution each week. Which statement below best represents the domain of this function?
The domain is the number of weeks and can be any real number.
The domain is the number of weeks and can be any positive real number.
The domain is the number of weeks and can be any real number between 0 and 27.5.
The domain is the number of weeks and can be any real number between 0 and 55.
Click here to see answer by josgarithmetic(39613) |
Question 1154986: Can somebody please help me? Michael records the number of stamps in his stamp collection each month. At the end of week 1 he has 21 stamps. Here are the monthly totals that Michael has recorded so far: 21, 29, 37, 45, and 53. Which of the equations below best represents Michael's total number of stamps (S) as a function of the number of months (m)?
S(m) = 21m
S(m) = m + 21
S(m) = 8m + 13
S(m) = 8m + 21
Click here to see answer by ewatrrr(24785)  |
Question 1155180: Can somebody please help me I don't get it. The local Wilderness Scouts are selling butter braids for $10 each. The amount a Wilderness Scout charges each customer can be seen as a function of the number of butter braids the customer orders. What is the domain for this function?
The domain of this function is all real numbers.
The domain of this function is all integers.
The domain of this function is all positive integers.
The domain of this function is all positive multiples of ten.
Click here to see answer by josgarithmetic(39613) |
Question 1156002: Please help me with this related rates question
The top of a ladder slides down a vertical wall at a rate of 0.125 m/s. At the moment when the bottom of the ladder is 5 m from the wall, it slides away from the wall at a rate of 0.3 m/s. How long is the ladder?
Click here to see answer by Edwin McCravy(20054)  |
Question 1156000: Please help me with this calculus 1 max and min question
I just cant find the min, the max I got was 1.39
Find the absolute maximum and absolute minimum values of f on the given interval. (Round your answers to two decimal places.)
f(x) = ln(x^2 + x + 2)
[-1, 1]
Click here to see answer by Theo(13342)  |
Question 1156003: Please help me with this related rates question
Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 700 cm3, the pressure is 100 kPa, and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant?
Click here to see answer by BlGDAVE(19)  |
Question 1156178: please help me with this related rate problem.
Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the equation PV = C, where C is a constant. Suppose that at a certain instant the volume is 700 cm3, the pressure is 100 kPa, and the pressure is increasing at a rate of 40 kPa/min. At what rate is the volume decreasing at this instant?
Click here to see answer by Boreal(15235)  |
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