Tutors Answer Your Questions about Equations (FREE)
Question 809982: A boy steps off a 17.6 foot high diving board with no initial vertical velocity, obeying the law
h=-16t^2+vt+s
where v is the velocity, t is in seconds, and so is the initial height.
How long does it take him to hit the water?
Answer in units of sec
If, instead, he springs off the diving board
with an initial vertical velocity of 6.7 ft/s,
how long does it take him to hit the water?
Answer in units of sec
How do you go about doing this problem ? I'm pretty confused. Thanks for any help. Much is appreciated.
Click here to see answer by ankor@dixie-net.com(22740)   |
Question 810591: Aplane flying 3458-mi from new york city to london has a 50mph tailwind. The flights point of no return is the point at which the flight time required to return to new york is the same as the time required to continue to london. If the planes speed in still air is 860 mph, how far is new york from the point of no return?
The distance from new york to the point of no return is ____mi.
(round to the nearest integer.)
Click here to see answer by mananth(16946)  |
Question 810659: A semi circle has an area of 100cm2. Find its radius.
So far I have drawn the circle to help out. And: Let r = radius
Would this be the correct equation to express the question:
(Pie)r2 divided by 2 = 100
Sorry about the words and not proper mathematical signs :)
Thanks and feel free to start over and ignore my working :)
Click here to see answer by josgarithmetic(39617) |
Question 810661: When a number has 6 added to it, and the result is divided by 3, the answer is the same as adding 1 to the number. Find the number.
Let x = the number
Thanks heaps :) I would usually be fine with the sorts of questions so I'm not sure whats wrong with me
Click here to see answer by ankor@dixie-net.com(22740) |
Question 810664: Ria is 25 years younger than her mother. In 10 years from now her mother will be twice Ria's age. How old is Ria now?
I have tried a few equations but none of them have worked out so I think it would be best if you just help me from scratch :)
Thank you
Click here to see answer by richwmiller(17219)  |
Question 810656: Kaye has an arrangement with her father where he pays her $5 for every maths test she passes and fines her $10 for every test she fails. Last year Kaye sat 9 tests and altogether her father paid her $15. How many tests did Kaye pass?
I must work this out with algebra but using a diagram I have worked out that she failed 2 and passed 7. Cna you help me with the algebra please. This is what I have tried so far:
Let p = pass and f = fail. f = -10 so p = f + 15
5p-10f=15
5(f+15) -10f=15
5f +75 -10f = 15
-5f + 75 = 15
(-75)
-5f = -60
(divided by -5)
f = 12
Please correct any of my working or feel free to start over :) Thanks so much in advance
Click here to see answer by mananth(16946) |
Question 810708:
Question #8 / 20
Students at a major university are complaining of a serious housing crunch. Many of the university's students, they complain, have to commute too far to school because there is not enough housing near campus. The university officials respond with the following information: the mean distance commuted to school by students is miles, and the standard deviation of the distance commuted is miles.
Assuming that the university officials' information is correct, complete the following statements about the distribution of commute distances for students at this university.
(a) According to Chebyshev's theorem, at least of the commute distances lie between 11.0 miles and 23.4 miles.
(b) According to Chebyshev's theorem, at least 36% of the commute distances lie between
miles
and
miles
. (Round your answer to 1 decimal place.)
(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 68% of the commute distances lie between
miles
and
miles
.
(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately of the commute distances lie between 11.0 miles and 23.4 miles.
ClearUndoHelp
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Click here to see answer by oscargut(2103)  |
Question 810880: There are 3 spherical balls. The radius of the middle sized ball is twice the radius of the small ball. The radius of the largest ball is 5cm larger than the radius of the smallest ball. The surface area of the largest ball is equal to the sum of the surface areas of the two smaller balls. Find the radius of the middle sized ball. Note: the surface area of a sphere given is by the formula SA =4πr^2
I cant seem to get the correct answer which is around 8.02 and 8.09
Ive tried to form equations for them and they're below
The equation for radius
Medium ball : 2r
Large ball : r+5
Small ball : r
Equations for surface area
middle ball : a
Large ball : a+b
small ball: b
I dont know where to go from here, please help
Click here to see answer by mananth(16946) |
Question 810933: Suppose you have a rectangular sheet with width of 5in and length of 10in. You want to make an open-top box from this sheet by cutting out squares from each corner and folding up the sides. Let the side of each square have length x in.
Find an expression in terms of x (in simplified form) of the volume of the open-top box. Let the volume be denoted by V(x).
Choose One:
a. V(x) = 50x - 15x^2 + x^3
b. V(x) = 50x - 30x^2 + 4x^3
c. V(x) = 50 - 15x + x^2
d. V(x) = 50 - 30x + 4x^2
Click here to see answer by KMST(5328)  |
Question 810931: Suppose you have a rectangular sheet with width of 5in and length of 10in. You want to make an open-top box from this sheet by cutting out squares from each corner and folding up the sides. Let the side of each square have length x in.
Find an expression in terms of x (in simplified form) of the surface area of the open-top box. Let the surface area be denoted by A(x).
Choose one:
a. A(x) = 100 - 30x
b. A(x) = 100 - 2x2
c. A(x) = 50 - 4x2
d. A(x) = 50 + 15x - 3x2
Click here to see answer by KMST(5328) |
Question 811291: Hi,
"A gardener has 100m of fencing. He must use this to build the biggest fence possible (in square meters).There are 3 sides to the garden bed, attached to the wall which does not require fencing. What are the three side lengths you would use to get the biggest area of fencing?"
I know the answer is 50, 25, 25. But how do you develop an equation to solve this for full marks?
Thanks
Click here to see answer by josgarithmetic(39617) |
Question 811291: Hi,
"A gardener has 100m of fencing. He must use this to build the biggest fence possible (in square meters).There are 3 sides to the garden bed, attached to the wall which does not require fencing. What are the three side lengths you would use to get the biggest area of fencing?"
I know the answer is 50, 25, 25. But how do you develop an equation to solve this for full marks?
Thanks
Click here to see answer by fcabanski(1391) |
Question 811327: Write a paragraph from these group of sentences.1. One of our greatest statement is Manuel lives in Quezon. 2. He was born in Baler Quezon, on august 19. 1978. 3. Nevr forgot to study his lessons,although he was sickly.4.He was able to finish his education with high honors. 5.This boy became the chief executive of this country.
Click here to see answer by KMST(5328) |
Question 811796: find an equation of the line passing satisfying each of the following.
a. passing through (-5,4) and parallel to 2x-3y=4. leave answer in slope intercept form.
b. passing through (-5,4)and perpendicular to 2x-3y=4. leave answer in point slope form.
c.passing through (-2,4) and (3,5) leave answer in slope-intercept form.
d.passing through (4,2)and (4,5)
e.passing through (3,-5)and (7,-5)
Click here to see answer by erica65404(394)  |
Question 811999: My question: "Determine the equation of a sinusoidal function with period 4, amplitude 2.5, and equation of axis y = –2.5."
I know this question is really easy, I am just wondering if I did it correctly.
y = Asin(B(x - C)) + D
2π/B = 4
2π/4 = B
B =1.57
A=2.5
B=1.57
C=0
D=-2.5
f(x)=2.5sin(1.57(x))-2.5
Is that correct?
Click here to see answer by Alan3354(69443)  |
Question 812181: Jonas bought 3 books. each book was the same price. after using a $10 off coupon,the total charge was $20 which equation can be used to find b the cost of each book? a)3b+10=20 b)3b-10=20 c)10b+3=20 d)10b-3=20 Thank You
Click here to see answer by TimothyLamb(4379)  |
Question 812230: Nick drew a rectangle that is 4 times as long as it is wide. Stacey increased each dimension of Nick's rectangle by 5 inches. If the perimeter of Stacey's rectangle is 60 inches, what are the dimensions of Nick's rectangle?
I tried 4(w+5)+ 4(4w+5)=60
Click here to see answer by erica65404(394) |
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