Questions on Word Problems: Miscellaneous Word Problems answered by real tutors!

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Question 179110: The fish population in a certain lake rises and falls accourding to the formula:
F=1000(30+15t-t^2)
Here, F is the number of fish at t, time, where t is measured in years since January 1,2002.
When will the fish population be the same as it was on January 1,2002?
All of the fish will die after approximately t=?
Click here to see answer by stanbon(57307)

Question 179096: ) Determine the truth value of the following statement:
Rembrandt was a famous painter and some odd number are prime.

Click here to see answer by Mathtut(3670)

Question 179174: 48 students participated in a taste test of three new flavors of icecream.half preffered block of chocolate, and 13 preferred pucker up lemon.how many preferred honeydew swirl?
Click here to see answer by Mathtut(3670)

Question 179192: Determine which, if any, of the three statements are equivalent.
a) If today is Monday, then tomorrow is not Wednesday
b) It is false that today is Monday and tomorrow is not Wednesday
c) Today is not Monday or tomorrow is Wednesday
I do not think any of these are equivalent, ?? Is this sound thinking...?
Click here to see answer by Mathtut(3670)

Question 179194: Use De Morgan’s Laws to determine whether the two statements are equivalent
(a) not(p and q), (b) not (q or not p)
I have:(a) if and only if not p or not q
(b)if or only if not q and p
I say these are equivalent.....This this a correct answer???
Click here to see answer by Mathtut(3670)

Question 179203: Use Euler Diagrams to determine whether the following syllogism is valid or invalid.
Some senators are conservationists
No conservationists are pro-development
--------------------------------------------------
(therefore) Some senators are not pro-development
How do I draw a diagram for this problem???

??

Click here to see answer by Mathtut(3670)

Question 179224: Find the real and imaginary parts of the complex number.
7 - (square root-11)
1___(real part)
2____(imaginary part)
i got the part that is real which is 7 but i cant figure out the imaginary part.
Click here to see answer by Alan3354(30993)

Question 179244: please help

Rectangular stage. one side of a rectangular stage is 2 meters longer than the other.If the diagnal is 10 meters,then what are the lengths of the sides
Click here to see answer by Alan3354(30993)

Question 179248: an angry construcion worker throws his wrench downward from a height of 128 feet with an intital velocity of 32 feet per second. the height of the wrench above the ground after t seconds is given by s(t)=-16t^2-32t+128.
A) what is the heigh of the wrench after 1 second ?
B)how long does it take for the wrench to reach the ground
Click here to see answer by nerdybill(6958)

Question 179314: An executive in an engineering firm earns a monthly salary plus a Christmas bonus of dollars. If she earns a total of dollars per year, what is her monthly salary in dollars?
I am not sure where to begin to solve this problem, could someone help me please, thank you for your time, for it is greatly appreciated.
Click here to see answer by Mathtut(3670)

Question 179317: An executive in an engineering firm earns a monthly salary of plus a Christmas bonus of 7700 dollars. If she earns a total of 99400 dollars per year, what is her monthly salary in dollars?
I am not sure how to begin solving this problem, any help would be greatly appreciated, and thank you for your time.
Click here to see answer by Mathtut(3670)

Question 179319: how many possible six digit number combination you can have if you are given a range of 1 to 42? write all the possible number combination.
hope someone could help me huhuuhu... thanks!!
Click here to see answer by vleith(2825)

Question 179325: Write the converse, inverse, and contrapositive of the following conditional statement
If a dog is barking, then it will not bite

Click here to see answer by Fombitz(13828)

Question 179325: Write the converse, inverse, and contrapositive of the following conditional statement
If a dog is barking, then it will not bite

Click here to see answer by Edwin McCravy(8908)

Question 179324: s) Let p, q, and r be the following statements:
p: Mike is sailing
q: Alice is on vacation
r: Sam is in town
Thanks for your help!
Click here to see answer by Fombitz(13828)

Question 179357: the length of a rectangle is 5 feet more than it's width. the area of the rectangle is 176 sq ft. find the length and the width of the rectangle
Click here to see answer by Mathtut(3670)

Question 179372: ) Let p, q, and r be the following statements:
p: Mike is sailing
q: Alice is on vacation
r: Sam is in town
Translate the following statement into English: (p and not q) if then not r
Mike is sailing and Alice is not on vacation therefore, Sam is not in town.
This is my answer, is it correct...?
Click here to see answer by Mathtut(3670)

Question 179373: Determine the truth value of the statement: not q if and only if [not r and (p or q)] when p is false, q is true, and r is true. HUH???
Click here to see answer by Mathtut(3670)

Question 179436: A plumber cuts a 75 inch pipe into 3 pieces. If the longest piece is three tims the smallest piece and the middle sized piece is two more than the smallest. what is the length of all three pieces?
Click here to see answer by jojo14344(1512)

Question 179265: Castel and Gabriella are selling pies for a school fundraiser. Customers can buy apple pies and lemon meringue pies. Castel sold 6 apple pies and 4 lemon meringue pies for a total of $80. Gabriella sold 6 apple pies and 5 lemon meringue pies for a total of $94. What is the cost each of one apple pie and one lemon meringue pie?
Click here to see answer by jojo14344(1512)

Question 179454: 8) Bob is pulling a 60’ rope that is tied to the top of a 48’ tree. How far from the base of the tree is Bob. (Use the Pythagorean theorem if you like, which is very helpful in many real life ways)
Click here to see answer by vleith(2825)

Question 179318: Two television monitors sitting beside each other on a shelf in an appliance store have the same screen height. One has a conventional screen, which is 3 inches wider than it is high. The other has a wider, high-definition screen, which is 1.8 times as wide as it is high. The diagonal measure of the wider screen is 18 inches more than the diagonal measure of the smaller. What is the height of the screens, correct to the nearest 0.1 inch?
Click here to see answer by ankor@dixie-net.com(15649)

Question 179264: The school that lisa goes to is selling tickets to the annual talent show. On the first day the school sold 4 senior citizen tickets and 5 student tickets for a total of $102.00. The school took in $126.00 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one student ticket?
Click here to see answer by josmiceli(9671)

Question 179588: 82. sports- You throw a baseball straight up into the air a a velocity of 45 feet per second. you release the baseball at a height of 5.5 feet and catch it when it falls back to a height of 6 feet.
a. use the position equation to write a mathematical model for the height of the baseball.
b. find the height of the baseball after 0.5 second.
c. How many seconds is the baseball in the air (use a graphing utility to verify the answer.)

Click here to see answer by stanbon(57307)

Question 179610: State a valid conclusion for hte following statements:
If a person can do all the problems assigned for homework in their college course then they will pass the final exam in that college course.
Math 101 is a college course.
Kirsten can do all the problems in her Math 101 course.
Click here to see answer by Mathtut(3670)

Question 179591: 84. Rabies vaccination- The game comission plane, flying at 1100 feet, drops oral rabies vaccinations pellets into the game preserve.
a. find the position equation of the model height of the vaccination pellets.
b. the plane is flying at 95 miles per hour. how far will the pellets travel horizontally during its decent?

Click here to see answer by stanbon(57307)

Question 179646: We can use the Pythagorean theorem to solve problems that involve right triangles. Provide an example of a day-to-day situation that involves right triangles and the use of the theorem
Click here to see answer by Mathtut(3670)

Question 179647: We can use the Pythagorean theorem to solve problems that involve right triangles. Provide an example of a day-to-day situation that involves right triangles and the use of the theorem
Click here to see answer by Mathtut(3670)

Question 179644: A drug manufacturing company wants to manufacture a capsule that contains a spherical pill inside. The diameter of the pill is 4mm and the capsule is cylindrical, with hemispheres on either end. The length of the capsule between the two hemispheres is 10mm. Describe how we could find the exact volume the capsule will hold, excluding the volume of the pill. What is the value that you get from your calculation? Why is it important for us to be able to determine the exact volume of that capsule?

Click here to see answer by stanbon(57307)

Question 179663: A chemistry instructor has one solution that is 50% sulfuric acid and another
that is 20% sulfuric acid. How much of each should she use to make 12 liters of a solution that is 30% acid?
Click here to see answer by Mathtut(3670)

Question 179669: A diagonal walk through a small rectangular garden 9 meters by 12 meters can be built at $10 per linear meter. How much will the walk cost?
Click here to see answer by Mathtut(3670)

Question 179679:
What is the area of a circle with diameter 34mm?

Click here to see answer by checkley77(12569)

Question 179679:
What is the area of a circle with diameter 34mm?

Click here to see answer by Alan3354(30993)

Question 179678: Sam wishes to fertilize his lawn that is 75 feet by 207 feet. The fertilizer is on sale for $5.25 per bag. Each bag covers 575 square yards. What is the cost to fertilize his yard?
Click here to see answer by checkley77(12569)

Question 179677: A drinking glass is in the shape of a cylinder that is 60mm in diameter and 15cm tall. How many cubic centimeters of water will it hold?
Click here to see answer by Alan3354(30993)

Question 179718: A gold smith combined an alloy that costs $430 per gram with an alloy that costs $180 per gram. How many grams of each were used to make a mixture of 200 grams that cost $250 per gram?
Click here to see answer by stanbon(57307)

Question 179752: Create a graph with four odd vertices
Can you show me please???
Click here to see answer by Edwin McCravy(8908)

Question 179721: Bob is pulling a 60’ rope that is tied to the top of a 48’ tree. How far from the base of the tree is Bob? (Use the Pythagorean theorem, which is very helpful in many real life ways if you wish)

Click here to see answer by checkley77(12569)

Question 179809: Explain in your own words the law of large numbers. Provide an example to illustrate.

Click here to see answer by stanbon(57307)

Question 179803: The sum of the digits of a two-digit number is 9. If the digits are reversed, the number is 27 less than the original. Find the original number.
Click here to see answer by ankor@dixie-net.com(15649)

Question 179867: I am totally lost as where to start or set this up. Could you please help
me?
A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened.If both pipes are accidently opened when the tank is full, then how long will it take to empty the tank? Thanks, Judy
Click here to see answer by solver91311(16877)

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