Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 172985: This one is kind of difficult for me. Can you help with this?
For a certain angle and a certain water pressure, the path of the water from a hose a fire scene can be modeled by the quadratic equation h=16^2+80t+4, where "h" is the high of the water above ground in feet and "t" is the time in seconds after the water has left the hose.
Find the value of h in the equation for t=0, 1, 2, 3, 4, 5 seconds.
t 0 1 2 3 4 5
h
Click here to see answer by Mathtut(3670) |
Question 172995: A hobby gardner wishes to use 81ft of fencing to enclose a rectangular gardner and sub divide region into two smaller areas. If the total enclosed is 264 ft squared find the dimensions of the enclosed region.
Click here to see answer by stanbon(57307) |
Question 173044: Please help me solve this equation:
You commute 56 miles one way to work. The trip to work takes 10 minutes longer than the trip to home. Your average speed on the trip home is 8 miles per hour faster. What is your average speed on the trip home?
thank you!!!
Click here to see answer by jim_thompson5910(28579) |
Question 173046: Please help me solve this equation:
A ball is thrown upward with an initial velocity of 30 feet per second from a point that is 24
feet above the ground. The height h (in feet) of the ball at time t (in seconds) after it is
thrown is
h= -16t^2 + 30t + 24
Find the time when the ball hits the ground.
Click here to see answer by KnightOwlTutor(293)  |
Question 173093: Helga served honey-roasted peanuts at a party. Each guest took half of the peanuts in the bowl. After passing out peanuts to 7 guests, Helga looked in the bowl and saw that there were 3 peanuts left. How many were there in the beginning?
Click here to see answer by stanbon(57307) |
Question 173079: At a well-known unversity,1/4 of the undergraduate student commute,and 1/3 of the gradute student commute.One-tenth of the undergradute students drive more than 40 miles daily,and 1/6 of the graduate students drive more daily than 40 miles daily.If there are twice as many undergradute students as there are graduate students,then what fraction of the commuters drive more than 40 miles daily.
Click here to see answer by ankor@dixie-net.com(15649)  |
Question 173176: I need help I'm coming up with crazy answer can you be nice to show me step by step It will really help me alot thank you.
A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours?
Click here to see answer by Mathtut(3670) |
Question 173176: I need help I'm coming up with crazy answer can you be nice to show me step by step It will really help me alot thank you.
A cell divides into two identical copies every 4 minutes. How many cells will exist after 3 hours?
Click here to see answer by Earlsdon(6287) |
Question 173173: Can someone explain this to me and show step by step so I can have a better understand of this problem thank you so much.
True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x". Explain.
thank you so much
Click here to see answer by jim_thompson5910(28579) |
Question 173277: The numbe of people who hear a rumor increases exponentially. If 20 people start a rumor and if each person who hears the rumor repeats it to two people a day, the number of people N who have heard the rumor after t days is given by the function.
N(t)=20(3)^t
a. How many people have heard the rumor after 5 days?
b. After what amount of time will 1000 people have heard the rumor?
c. What is the doubling time for the number of people who have heard the rumor?
Click here to see answer by stanbon(57307) |
Question 173281: First-class postage (for the first ounce) was 20cent in 1981 and 37cent in 2002. Assume the cost increases according to an exponential growth function.
a. Let t =0 correspond to 1981 abd t= 21 correspond to 2002. Then t is the number of years since 1981. Use the data points (0,20) and (21,37) to find the exponential growth rate and fit and exponential growth function
P(t)= P0e ^kt to the data where P(t) is the cost of first-class postage, in cents, t years after 1981.
b. Use the function found in part (a) to predict the cost of first-class postage in 2008.
c. When will the cost of first-class postage be $1.00 or 100cent
Click here to see answer by stanbon(57307) |
Question 173719: Ruth's car traveled 120 miles during the first race. During the second race, it traveled 124 miles. If the car averaged 123 miles ove the first three races, how far did it travel during the third race?
Click here to see answer by Mathtut(3670) |
Question 173945: A rocket is launched from ground level with an initial velocity of 224ft/s. The height h in ft. of the rocket at any given t in secs. is h(t)= 224t-16t^2.
a. when will the rocket reacha height of 528?
b. When will the rocket reach the ground?
c. When will the rocket reach its maximum height.
d. What is the maximum height of the rocket?
e. Greaph this situation
f. State the domain and range of the graph?
528=224t-16t^2
16t^2 - 224t + 528 = 0
16(t^2 - 14t + 33) = 0
16[(t-3)(t-11)
t-3=0 t-11=0
t=3 t=11
I go back and substitute these numbers in right, to see which one works?
I'm lost after that.
Click here to see answer by solver91311(16877)  |
Question 174024: During the last five races, jim's race car used an average of 15 gallons of gas per race. If his race car used a total of 51 gallons of gas during the first three races, what was the total number of gallons of gas used during the last two races?
Click here to see answer by Mathtut(3670) |
Question 174037: write an equation to model the situation. solve and check the reasonableness of your solution.
two students are going to the sandwich shop for lunch. they pay $1.25 for a soda and buy one whole turkey sandwich and one half turkey sandwich. the total bill is $9.50. what is the price of the whole sandwich?
Click here to see answer by checkley77(12569) |
Question 174037: write an equation to model the situation. solve and check the reasonableness of your solution.
two students are going to the sandwich shop for lunch. they pay $1.25 for a soda and buy one whole turkey sandwich and one half turkey sandwich. the total bill is $9.50. what is the price of the whole sandwich?
Click here to see answer by Mathtut(3670) |
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