Tutors Answer Your Questions about Miscellaneous Word Problems (FREE)
Question 592130: Because of Earth's curvature, a person can see a limited distance to the horizon. The highere the location of a person, the farther that person can see. The distance D in miles to the horizon can be estimated by D(h) = 1.22√h, where h is the height of the person above the ground in feet. How high does a person need to be to see 23 miles?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 592664: A mother has two children whose ages differ by 5 years. The sum of the squares of their ages is 97. The square of the mother’s age can be found by writing the square of the children’s ages one after the other as a four-digit number. How old is the mother?
Click here to see answer by Edwin McCravy(20054)  |
Question 593744: The area of the rectangular piece of cardboard shown below is 216 square inches. The cardboard is used to make an open box by cutting a 2-inch square from each corner and turning up the sides. If the box is to have a volume of 224 cubic inches, find the length and width of the cardboard that must be used.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 593985: When a screen is placed 3 metres from a projector, the picture occupies 3 square
metres. How large will the picture be when the projector is 5 metres from the
screen?
I have no idea what the answer would be. 5 seems too easy...Maybe they didn't give enough info?
Click here to see answer by Alan3354(69443)  |
Question 594417: --------------------------------------------------------------------------------
Transylvania is inhabited by humans, vampires, and werewolves. You cannot tell simply by looking at someone what he or she is. However, humans always tell the truth, vampires always lie, and werewolves sometimes tell the truth and sometimes lie.
In addition, some inhabitants are quite insane and think all true statements are false and all false statements are true. The other inhabitants are sane and correctly distinguish between true and false statements.
So, in Transylvania a false statement could be made out of malice or simply out of honest delusion. For example, a sane human knows the earth is (approximately) round and says so, while an insane vampire believes the earth is not round so will lie and say that the earth is round.
So now we know about the vampires, humans, and werewolves in Transylvania. But there are also trolls. Of course, trolls look exactly like everyone else so you cannot tell by looking what someone is. Like werewolves, trolls both tell the truth and lie. However, a troll alternates between truth and lies. That is, when a new conversation begins, a troll may either tell the truth or lie, but then the truth of each following statement alternates.
A human, a vampire, and a troll come up to you. All three are sane. You ask what they are and one of them says, “I am a vampire. The lady is human. The other one is a troll.”
Is the speaker human, a vampire, or a troll?
I have eliminated the human and the werewolf straight up but determining the identity of troll or vampire ?
Click here to see answer by scott8148(6628)  |
Question 594705: The problem is worded thus:
"If ten equals three, five equals four, two equals three,four equals four, and thirteen equals eight, what does nine equal?"
If this is a simple problem, why is it still orbiting over my head? Or do I keep guessing?
Click here to see answer by Alan3354(69443)  |
Question 594958: Transylvania is inhabited by humans, vampires, and werewolves. You cannot tell simply by looking at someone what he or she is. However, humans always tell the truth, vampires always lie, and werewolves sometimes tell the truth and sometimes lie.
In addition, some inhabitants are quite insane and think all true statements are false and all false statements are true. The other inhabitants are sane and correctly distinguish between true and false statements.
So, in Transylvania a false statement could be made out of malice or simply out of honest delusion. For example, a sane human knows the earth is (approximately) round and says so, while an insane vampire believes the earth is not round so will lie and say that the earth is round.
Cody Compton and Bill Devereaux are two Transylvanian friends. One is human and the other is a vampire. Cody says, "I am human" then Bill tells you, "I am human." Cody then tells you that Bill is sane. Which one is the vampire?
Cody, Compton, or Devereaux
Click here to see answer by jim_thompson5910(35256) |
Question 595201: Please solve and show all work because i'm totally lost on these problems.Thanks in advance and God Bless.
1. Students in an accounting class took a final exam. They took equivalent forms of the exam in monthly intervls thereafter. The average S(t),in percent, after t months is given by the function, S(t)=75-13log(t+1),t>=0. The average score when they intially took the test was approxiamately what percent? What is the average score 24 months later percent? After how many months wasthe average score 50?
Click here to see answer by richwmiller(17219)  |
Question 595472: Question 1
A duke was hunting in the forest with his men-at-arms and servants when he came across a tree. Upon it, archery targets were painted and smack in the middle of each was an arrow. "Who is this incredibly fine archer?" cried the duke. "I must find him!"
After continuing through the forest for a few miles he came across a small boy carrying a bow and arrow. Eventually the boy admitted that it was he who shot the arrows plumb in the center of all the targets. "You didn't just walk up to the targets and hammer the arrows into the middle, did you?" asked the duke worriedly. "No my lord. I shot them from a hundred paces. I swear it by all that I hold holy." "That is truly astonishing," said the duke. "I hereby admit you into my service."
The boy thanked him profusely. "But I must ask one favor in return," the duke continued. "You must tell me how you came to be such an outstanding shot."
How did the boy get to be such a good shot?
Click here to see answer by Earlsdon(6294) |
Question 596067: Island dinner booked a party and was charging the group a fix cost of 1,680. Later the number of people in the group increased by 50 people and the average cost decreased by $10 per person. How many people were booked originally.
a. 33
b. 70
c. 120
d. 168
The answer is B. 70. Can't figure out how to get 70.
Can someone please help me out with this problem. Can't figure this one out
Click here to see answer by jim_thompson5910(35256) |
Question 596354: Air Pollution the amount of mitrogen dioxide A in parts per million (PPM) that presetn in the air in the city of homer on a certain day in june is modeled by the function a(t)=-2t^2+32t+12
Where t is the number of hours after 6:00 am use this function to find the time at which the nitrogen dioxide level was at its maximum.
Click here to see answer by nerdybill(7384)  |
Question 596358: How do I graph this? I have been trying and I am drawing a blank
Air Pollution the amount of mitrogen dioxide A in parts per million (PPM) that presetn in the air in the city of homer on a certain day in june is modeled by the function a(t)=-2t^2+32t+12
Where t is the number of hours after 6:00 am use this function to find the time at which the nitrogen dioxide level was at its maximum.
t-value at max:
t = -b/(2a)
t = -32/(2(-2))
t = -32/(-4)
t = 8 hours
.
6:00 am + 8 hours = 2 pm
Click here to see answer by Alan3354(69443)  |
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