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i need help with the following questions: if the length of each edge in a cube is increased by the same percent and the result was a cube taht had 25% more volume than it originally had, by what percentage were the edges increased?
and the next question:
given: (1, 2), y= (-4/3)x+6
And finally:
given: m(3,h)= (h^2+2h-14)/(h)
what value should be assigned to m(3,0) so that the graph of y=m(3,h) will contain no holes?
Find the distance betwee the point and the line.
Hello Angie,
For the first question, assume that it was an x percent increase.
Also, you can assume that the cube has side length one.
So (1 + x/100)^3 = 1.25 (this is the formula for volume)
(1 + x/100) = cuberoot(1.25)
so x = 100(cbrt(1.25) - 1)
I don't understand the second question, you didn't ask anything.
For the third question, there are no holes in the graph, it has an asymptote at h=0 since there isn't anything you can cancel with.
I hope this helped,
Robi
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Answers by Expert:
Robi Bhattacharjee
Expertise
I can answer a variety of questions on mathematics. Questions on trigonometry, calculus(preferably single variable), algebra, geometry, and number theory will be answered. I cannot answer questions on abstract branches of mathematics such as group theory. I also cannot answer questions on statistics. In number theory, I can answer questions on congruences, prime numbers, units, functions, and the riemann-zeta function.
Experience
I have studied advanced math my entire life. I started calculus in sixth grade. I have attended numerous math competitions and I am attending math organizations such as the San-Diego math circle. Also, this year I have been invited to the USAMO which is a prestigious math competition (Every year the USAMO invites 500 students from across the USA to participate in this competition. The top 6 go to represent the USA in the International Math Olympiad).
Organizations
I am in the San Diego Math Circle
Education/Credentials
I am entering high school and have received a perfect score and the STAR test 5 times in a row. I also have gotten recognitions in the AMC 10, AIME, Math Counts, and ARML. Additionally, I have won the San Diego Math Olimpiad twice in a row.
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