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Question Number 171796 Answers: 0 Comments: 0

If the given two numbers are respec− tively 7% and 28% of a third number, then what percentage is the first of the second? Mastermind

$$\mathrm{If}\:\mathrm{the}\:\mathrm{given}\:\mathrm{two}\:\mathrm{numbers}\:\mathrm{are}\:\mathrm{respec}− \\ $$$$\mathrm{tively}\:\mathrm{7\%}\:\mathrm{and}\:\mathrm{28\%}\:\mathrm{of}\:\mathrm{a}\:\mathrm{third}\:\mathrm{number}, \\ $$$$\mathrm{then}\:\mathrm{what}\:\mathrm{percentage}\:\mathrm{is}\:\mathrm{the}\:\mathrm{first}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{second}? \\ $$$$ \\ $$$$\mathrm{Mastermind} \\ $$

Question Number 171795 Answers: 0 Comments: 0

If A′s income is 25% less than that of B, then how much percent is B′s income more than that of A? Mastermind

$$\mathrm{If}\:\mathrm{A}'\mathrm{s}\:\mathrm{income}\:\mathrm{is}\:\mathrm{25\%}\:\mathrm{less}\:\mathrm{than}\:\mathrm{that}\:\mathrm{of}\:\mathrm{B}, \\ $$$$\mathrm{then}\:\mathrm{how}\:\mathrm{much}\:\mathrm{percent}\:\mathrm{is}\:\mathrm{B}'\mathrm{s}\:\mathrm{income} \\ $$$$\mathrm{more}\:\mathrm{than}\:\mathrm{that}\:\mathrm{of}\:\mathrm{A}? \\ $$$$ \\ $$$$\mathrm{Mastermind} \\ $$

Question Number 171793 Answers: 0 Comments: 1

Question Number 171794 Answers: 0 Comments: 0

If a number is 20% more than the other, how much percent is the second number less than the first? Mastermind

$$\mathrm{If}\:\mathrm{a}\:\mathrm{number}\:\mathrm{is}\:\mathrm{20\%}\:\mathrm{more}\:\mathrm{than}\:\mathrm{the}\:\mathrm{other}, \\ $$$$\mathrm{how}\:\mathrm{much}\:\mathrm{percent}\:\mathrm{is}\:\mathrm{the}\:\mathrm{second}\:\mathrm{number} \\ $$$$\mathrm{less}\:\mathrm{than}\:\mathrm{the}\:\mathrm{first}? \\ $$$$ \\ $$$$\mathrm{Mastermind} \\ $$

Question Number 171718 Answers: 0 Comments: 0

Question Number 171667 Answers: 1 Comments: 0

Question Number 171666 Answers: 0 Comments: 1

Question Number 171665 Answers: 1 Comments: 0

Ω=∫_0 ^1 Log(((Log^2 (x))/x^(x^5 −x^4 +x^3 −x^2 +x−1) ))dx Anyone?

$$\Omega=\int_{\mathrm{0}} ^{\mathrm{1}} {Log}\left(\frac{{Log}^{\mathrm{2}} \left({x}\right)}{{x}^{{x}^{\mathrm{5}} −{x}^{\mathrm{4}} +{x}^{\mathrm{3}} −{x}^{\mathrm{2}} +{x}−\mathrm{1}} }\right){dx} \\ $$$$ \\ $$$${Anyone}? \\ $$

Question Number 171627 Answers: 0 Comments: 5

A mass 10kg is placed at the foot of an inclined plane 13m long, whose upper end is 5m higher than the foot. The mass is connected by a light inextensible string, passing over a smooth pulley at the top of the plane, to another mass 10kg which hangs level with the top of the plane, 5m above the floor. If the coefficient of friction between the first mass and then plane is ½ and the system is released from rest, find the acceleration and tension In the string. [Take g = 9.8m/s²]

Question Number 171622 Answers: 0 Comments: 0

Question Number 171614 Answers: 0 Comments: 11

A particle is moving along a straight line such that it's position from a fixed point is S = ( 12 - 15t² + 5t³ )m where t is in seconds. Determine: A. Total distance travelled by the particle from t = 1sec to t = 3sec B. The average speed of the particle during this time.

Question Number 171599 Answers: 0 Comments: 0

Ω=∫_0 ^1 Log(((Log^2 (x))/x^(x^5 −x^4 +x^3 −x^2 +x−1) ))dx Mastermind

Question Number 171575 Answers: 0 Comments: 3

Question Number 171518 Answers: 0 Comments: 2

Question Number 171502 Answers: 0 Comments: 1

Solve (dy/dx)(xcos y+asin 2y)=−1 (dy/dx)=(((y+2)/(x+y−1)))^2

$${Solve} \\ $$$$\frac{{dy}}{{dx}}\left({x}\mathrm{cos}\:{y}+{a}\mathrm{sin}\:\mathrm{2}{y}\right)=−\mathrm{1} \\ $$$$\frac{{dy}}{{dx}}=\left(\frac{{y}+\mathrm{2}}{{x}+{y}−\mathrm{1}}\right)^{\mathrm{2}} \\ $$

Question Number 171493 Answers: 1 Comments: 0

Question Number 171491 Answers: 0 Comments: 0

Question Number 171490 Answers: 0 Comments: 0

Question Number 171475 Answers: 1 Comments: 0

Question Number 171472 Answers: 0 Comments: 0

lim_(a→∞) Σ_(n=1) ^a ((e^(in) .ln∣(1/x)∣)/(πn^2 )).tan^(−1) (n(√π)) Mastermind

$${li}\underset{{a}\rightarrow\infty} {{m}}\:\underset{{n}=\mathrm{1}} {\overset{{a}} {\sum}}\frac{{e}^{{in}} .{ln}\mid\frac{\mathrm{1}}{{x}}\mid}{\pi{n}^{\mathrm{2}} }.{tan}^{−\mathrm{1}} \left({n}\sqrt{\pi}\right) \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 171437 Answers: 2 Comments: 0

make r the subject of the formula y=(((pr)/m) − (p^3 /1))^(−3/2) find r if y=−8 , m=−1, p=3

$$\mathrm{make}\:\boldsymbol{\mathrm{r}}\:\:\:\mathrm{the}\:\mathrm{subject}\:\mathrm{of}\:\mathrm{the}\:\mathrm{formula} \\ $$$$ \\ $$$$\boldsymbol{\mathrm{y}}=\left(\frac{\boldsymbol{\mathrm{pr}}}{\boldsymbol{\mathrm{m}}}\:\:−\:\frac{\boldsymbol{\mathrm{p}}^{\mathrm{3}} }{\mathrm{1}}\right)^{−\mathrm{3}/\mathrm{2}} \\ $$$$ \\ $$$$\mathrm{find}\:\boldsymbol{\mathrm{r}}\:\mathrm{if}\:\mathrm{y}=−\mathrm{8}\:\:\:,\:\:\mathrm{m}=−\mathrm{1},\:\:\mathrm{p}=\mathrm{3} \\ $$

Question Number 171332 Answers: 0 Comments: 2

A bicycle has a constant velocity of 10 m/s. A person starts from rest and runs to catch up to the bicycle in 30 s. What is the acceleration of the person?

Question Number 171314 Answers: 1 Comments: 0

If C_r , C_s are cyclic groups such that g.c.d(r,s)=1, then show that C_r ×C_s is a cyclic group. Mastermind

$${If}\:{C}_{{r}} ,\:{C}_{{s}} \:{are}\:{cyclic}\:{groups}\:{such}\:{that} \\ $$$${g}.{c}.{d}\left({r},{s}\right)=\mathrm{1},\:{then}\:{show}\:{that}\:{C}_{{r}} ×{C}_{{s}} \:{is} \\ $$$${a}\:{cyclic}\:{group}. \\ $$$$ \\ $$$${Mastermind} \\ $$

Question Number 171179 Answers: 1 Comments: 0

Question Number 171161 Answers: 1 Comments: 0

Question Number 171153 Answers: 1 Comments: 0

An aeroplane covers a certain distance at a speed of 240kmph in 5 hours. to cover the same distance in 1(2/3) hrs, it must travel at a speed of: A) 300kmph B) 360kmph C) 600kmph D) 700kmph Mastermind

$${An}\:{aeroplane}\:{covers}\:{a}\:{certain}\:{distance} \\ $$$${at}\:{a}\:{speed}\:{of}\:\mathrm{240}{kmph}\:{in}\:\mathrm{5}\:{hours}. \\ $$$${to}\:{cover}\:{the}\:{same}\:{distance}\:{in}\:\mathrm{1}\frac{\mathrm{2}}{\mathrm{3}}\:{hrs}, \\ $$$${it}\:{must}\:{travel}\:{at}\:{a}\:{speed}\:{of}: \\ $$$$\left.{A}\right)\:\mathrm{300}{kmph} \\ $$$$\left.{B}\right)\:\mathrm{360}{kmph} \\ $$$$\left.{C}\right)\:\mathrm{600}{kmph} \\ $$$$\left.{D}\right)\:\mathrm{700}{kmph} \\ $$$$ \\ $$$${Mastermind} \\ $$

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