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Hi ganesh;
When I get an answer that is right, I find that unbelievable. I get a lot of wrong answers in just a day!
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi bobbym,
#2264. A bag contains 5 red, 8 green, and 7 white balls. One ball is drawn at random from the bag, find the probability of getting
(i) a white ball or a green ball
(ii) neither a green ball or a red ball.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2265. One card is drawn from a shuffled deck of 52 playing cards. Find the probability of getting
(i) a non-face card
(ii) A black king or a red queen
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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#2266. For what value of k of the quadratic equation x[sup]2[/sup]-kx+4=0 has equal roots?
#2267. A cylinder, a cone and a hemisphere are of equal base and have the same height. What is the ratio of their volumes?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi bobbym,
The solutions 2266 and 2267 are perfectly correct! Very well done!
You missed 2264 and 2265! I am certain the two problems would have been solved!
The next problems!
#2268. Solve: 2x[sup]2[/sup]-5x+2=0.
#2269. The radius of a cone is 20 cm and the slant height is 29 cm. Find the height of the cone.
#2270. Which term of the sequence 114, 109, 104, ..... is the first negative term?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hi ganesh;
Didn't notice them up there!
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Last edited by John E. Franklin (2010-08-10 05:10:31)
igloo myrtilles fourmis
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Hi ganesh;
There are more, goody!
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi bobbym and John,
#2268 is incorrect. Rest of all the solutions are perfect. 2270 is correct for both bobbym and John.
#2271. Find the reminder when x[sup]3[/sup]-5x[sup]2[/sup]+7x-4 is divided by (x-1).
#2272. Find the reminder when 3x[sup]3[/sup]+4x[sup]2[/sup]-5x+8 is divided by x+2.
#2273. Find m if 5x[sup]5[/sup]-9x[sup]3[/sup]+3x+m leaves a remainder 7 when divided by (x+1).
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi,
bobbym : The solutions 2271, 2272, and 2273 are correct. Splendid!
Devante : The solution 2268 is correct. Keep it up!
#2274. The surface area of a sphere is 2464 sq.cm. Find its radius.
#2275. The surface areas of the two spheres are in the ratio 25:36. find the ratio of their radii.
#2276. The volume of the sphere is numerically equal to its surface area. Find its diameter.
#2277. A solid metal cylinder of radius 14 cm and height 21 cm is melted down and recast into sphere of diameter 7 cm. Calculate the number of spheres that can be made..
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi bobbym,
The answers 2274, 2275, 2276, and 2277 are perfect. Outstanding!
#2278. Find the Least Common Multiple of (x[sup]2[/sup]-16), (x[sup]2[/sup]+7x+12).
#2279. How far is a chord of length 24 cm away from the center of a circle of radius 15 cm?
#2280. Find the value of k, if the equation 4x+6y+k=0 passes through (2,-3).
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi bobbym,
The solutions 2278, 2279, and 2280 are correct. Commendable work!
#2281. The sum of a number and its reciprocal is 50/7. Find the number.
#2282. Solve:
x+y=8
y+z=4
z+x=6
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hiu ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi bobbym,
The answers 2281 and 2282 are correct. Good work!
#2283. A lead sphere of diameter 4 cm is cast into a cone of radius 2 cm. Find the height of the cone.
#2284. If x[sup]4[/sup]-6x[sup]3[/sup]+11x[sup]2[/sup]+ax+b is a perfect square, find a and b.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi bobbym,
The solutions 2283 and 2284 are correct. Good work!
2285 to 2288: Express the following in the standard form of a+ib:
#2285. (3+2i)+(-7-i).
#2286. (8-6i)-(2i-7).
#2287. (2-3i)(4+2i).
#2288. (5+5i)/(3-4i)
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi bobbym,
The solutions 2285, 2286, 2287, and 2288 are perfect. Very well done!
#2289. If (4x[sup]3[/sup]+10x[sup]2[/sup]+ax+3) is divided by (x+2), the reminder is 1, then find the value of a.
#2290. Find the square root of 4x[sup]4[/sup]-12x[sup]3[/sup]+25x[sup]2[/sup]-24x+16.
#2291. Perimeter of a rectangle is 16 cm and its area is 15 sq.cm. Find its length and breadth.
#2292. A cylinder of radius 8 cm and height 12 cm is melted and made into some cones of radius 6 cm and height 16 cm. How many cones can be made?
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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Hi ganesh;
In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.
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Hi bobbym,
The replies 2289, 2290, 2291, and 2292 are correct. Outstanding!
#2293. Find the Least Common Multiple of (x[sup]2[/sup]-16), (x[sup]2[/sup]+7x+12).
#2294. How far is a chord of length 24 cm away from the center of a circle of radius 15 cm?
#2295. Find the value of k, if the equation 4x+6y+k=0 passes through (2,-3).
#2296. A lead sphere of diameter 4 cm is cast into a cone of radius 2 cm. Find the height of the cone.
It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.
Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.
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