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Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 48117This question is from textbook College Algebra
: A kettle full of water is brought to a boil in a room with temperature 20C. After 15 minutes the temperature of the water has decreased from 100C to 75C. Find the temperature after another 10 minutes, and sketch a graph of the temperature function.
Thank you so much! Does this have anything to do with Newton's Law of Cooling and the formula T(t) = Ts + D0e^-kt? My calculator simply will not do this.This question is from textbook College Algebra
Click here to see answer by cowess(34)   |
Question 48185: a six passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the wind speed?
Click here to see answer by Paul(988) |
Question 48241This question is from textbook College Algebra
: The burial cloth of an Egyptian mummy is estimated to contain 59% of the carbon-14 it contained originally. How long ago was the mummy buried? (The half-life of carbon-14 is 5730 years.)
I got:
m(t) = m0e^-(ln2/n)t
0.59 = 1e^-(ln2/5730)t
ln(0.59) = -(ln2/5730)t
t = 5730(ln0.59)/ln2 = 4,362 years ago
Does this seem right?
Thanks for all your wonderful help!This question is from textbook College Algebra
Click here to see answer by stanbon(26291) |
Question 48240This question is from textbook College Algebra
: I worked this problem out but would like to check with you if I'm vaguely correct:
The half-life of radium-226 is 1600 years. Suppose we have a 22-mg sample.
a. Find a function that models the mass remaining after t years
Using the model for radioactive decay mt = m0e^-rt:
m0 = 22mg, r=(ln2/1600) = -0.00043
m(t) = 22e^-0.00043t
b. How much of the sample will remain after 4000 years?
t = 4000
m(4000) = 22e^(-0.00043)(4000) = 3.94 mg
c. After how long will only 18 mg of the sample remain?
m(t) = 18
22e^-0.00043t = 18
e^-0.00043t = 9/11
Ln e^-0.00043t = ln 9/11
0.00043t = ln 9/11
t = -(ln(9/11)/0.0043) = 46.7 years
Thanks a million(factored many times) for your help!This question is from textbook College Algebra
Click here to see answer by stanbon(26291) |
Question 48267This question is from textbook Algebra 2
: Henry can ride his horse at 4 miles per hour and get to the battlefield on time. If he stops for 1 hour to make a speech to his troops, he must ride at 5 miles per hour for the whole trip to get to the battlefield on time. How far is it to the battlefield?This question is from textbook Algebra 2
Click here to see answer by checkley71(8405) |
Question 48330: A solar collector is 2.5m long by 2.0m wide. It is held in place by a frame of uniform width around its outside edge. If the exposed collector area is 2.5m^2 , what is the width of the frame, to the nearest tenth of a centimeter?
Click here to see answer by venugopalramana(3286)  |
Question 48488: (A) How many times must a die be thrown to be sure that the same number occurs twice?
(B) How many times must two dice be thrown to be sure that the same total score occurs at least six times?
(C) How many times must n dice be sure that the same total score occurs p times?
Thanks
Click here to see answer by longjonsilver(2297)  |
Question 48477: A rectangular garden is to be surrounded by a walkway of constant width. The garden's dimensions are 30 ft by 40 ft. The total area, garden plus walkway, is to be 1800 ft2. What must be the width of the walkway to the nearest thousandth?
Thanks
Click here to see answer by josmiceli(3012) |
Question 48566: CLASSIC PROBLEM - A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter’s life. Mr. Crane insisted on giving the man an award for his heroism.
So, the salesman said, “If you insist, I do not want much. Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat.” As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he soon realized he made a miscalculation on the amount of wheat involved.
a) How much wheat would Mr. Crane have to put on the 24nd square?
Answer:
Show work in this space.
b) How much total grain would the traveling salesman receive if the checkerboard only had 24 squares?
Answer:
Show work in this space.
c) Calculate the amount of wheat necessary to fill the whole checkerboard (64 squares). How much wheat would the farmer need to give the salesman? Please provide the answer in either scientific notation, or calculate and show all 20 digits.
Answer:
Click here to see answer by Earlsdon(4900) |
Question 48559: Solve the problem, if possible. Round your answer to the nearest tenth, when appropriate.
A book has pages that are 16 cm by 20 cm. The printed matter on a page of the book must cover  . If all margins are to be the same width, how wide should the margins be?
Click here to see answer by Earlsdon(4900) |
Question 48584: Annie wanted to determine the height of a tree in the corner of her yard. she knew that a certain fence by the tree was 4 feet tall at 3P.M , she measured the shadow of the fence to be 2.5 feet tall. The she measured the tree's shadow to be 11.3 feet. what is the height of the tree?
Click here to see answer by stanbon(26291) |
Question 48618: A certain kind of folder was priced at $.50 but found no buyers. The manager of the store decided to reduce the price. Within a few days, she had sold her entire stock of these folders for a total of $31.93. What was the reduced price of the folder and how many did she sell?
Click here to see answer by checkley71(8405) |
Question 48755: Solve the problem, if possible. Round your answer to the nearest tenth, when appropriate.
A book has pages that are 16cm by 20cm The printed matter on a page of the book must cover . If all margins are to be the same width, how wide should the margins be?
Click here to see answer by checkley71(8405) |
Question 48821This question is from textbook Beginning Algebra
: In planning for a new item,a manufacturer assumes that the number of items produced x and the cost in dollars C of producing these items are related by a linear equation. Projections are that 100 items will cost$10,000 to produce and that 300 items will cost $22,000 to produce.
Find the equation that relates C and xThis question is from textbook Beginning Algebra
Click here to see answer by venugopalramana(3286) |
Question 48965: P dollars is invested at annual interest rate r for 1 year. If the interest is compounded semiannually, then the polynomial P(1+r/2)^2 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the polynominal if P=$200 and r=10%.
Thank you!
Click here to see answer by cowess(34) |
Question 48989: A computer is infected with the Sasser virus. Assume that it infects 20 other computers within 5 minutes; and that these PCs and servers each infect 20 more machines within another five minutes, etc. How long until 100 million computers are infected?
Click here to see answer by Nate(3495) |
Question 49037: Hello Good Evening can you Please help me with this problem
In one the week the Emergency response received a total of thirty calls. Six of which were false alarms. What was the percentage of actual calls this company attended.
Thank you for the help need to know what formula should be used
Click here to see answer by Nate(3495) |
Question 49174This question is from textbook
: This is a factoring question
The amount of an investment of P dollars for t years at simple interest rate r is givn by A = P + Prt. Rewrite this formula by factoring out the greatest common factor on the right-hand side and find A if $8300 is invested for 3 years at a simple interest rate of 15%This question is from textbook
Click here to see answer by Nate(3495) |
Question 49222: The percentage of companies with at least one woman on the Board is growing steadily (Forbes, February 10, 1997). The percentage of companies can be approximated with the linear equation
p = 2n + 36
where n is the number of years since 1980.
a) Find and explain the meaning of the p-intercept for the line.
b) Find and explain the meaning of the n-intercept for the line.
c) If this trend continues, then in what year would you expect to find nearly all
companies having at least one woman on the Board?
Click here to see answer by AnlytcPhil(958) |
Question 49206: Please help me with this...I can not figure this out.
Science and medicine: The equation h= -16t^2 +112t gives the height of an arrow, shot upward from the ground with and initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach height of 180 ft.
Click here to see answer by tutorcecilia(2042) |
Question 49289This question is from textbook
: I need help with factoring a polynominal -
A triangular sail has an area of x^2 + 5x + 6 square meters and a height of x + 3 meters. Find the length of the sail's base.
Thank you!This question is from textbook
Click here to see answer by venugopalramana(3286) |
Question 49300: 18. A circus clown at the top of a 60-foot platform is playing catch with another clown on the ground. The clown on the platform drops a ball at the same time as the one on the ground tosses a ball upward at 80 ft/sec. For what length of time is the distance between the balls less than or equal to 10 feet? Hint: the initial velocity of a ball that is dropped is 0 ft/sec. The formula for the height S in feet above the earth at a time t seconds for an object projected into the air with an initial velocity of v ft/sec from an initial height of s0 is:
S = -16t2 + vt + s0
Click here to see answer by venugopalramana(3286) |
Question 49303This question is from textbook
: I need help with the following word problem....
One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?
Thank you!This question is from textbook
Click here to see answer by Nate(3495) |
Question 49303This question is from textbook
: I need help with the following word problem....
One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?
Thank you!This question is from textbook
Click here to see answer by Osran_Shri(18) |
Question 49294This question is from textbook
: Please help with the following word problem
Each of the three dimensions of a cube with a volume of y^3 cubic centimeters is decreased by a whole number of centimeters. If the new volume is y^3 - 13y^2 + 54y - 72 cubic centimeters and the new width is y - 6 centimeters, then what are the new length and height?
Thank you!This question is from textbook
Click here to see answer by Nate(3495) |
Question 49304This question is from textbook
: I need help with the following word problem
A car is traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing, the car's collision detector warns that there is a train 50 meters from the car and heading for the same crossing. How far is the train from the crossing?
Thank you!!!This question is from textbook
Click here to see answer by Nate(3495) |
Question 49291This question is from textbook
: I need help with the following word problem.
Amount of an investment.
The amount of an investment of P dollars for t years at simple interest rate r is given by A=P+Prt.
Rewrite formula by factoring out the greatest common factor on the right-hand side and find A if $8300 is invested for 3 years at a simple interest rate of 15%.
Thank you!!!This question is from textbook
Click here to see answer by venugopalramana(3286) |
Question 49217: A circus clown at the top of a 60-foot platform is playing catch with another clown on the ground. The clown on the platform drops a ball at the same time as the one on the ground tosses a ball upward at 80 ft/sec. For what length of time is the distance between the balls less than or equal to 10 feet? Hint: the initial velocity of a ball that is dropped is 0 ft/sec. The formula for the height S in feet above the earth at a time t seconds for an object projected into the air with an initial velocity of v ft/sec from an initial height of s0 is:
S = -16t2 + vt + s0
Click here to see answer by venugopalramana(3286) |
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