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Question Number 196650 Answers: 2 Comments: 0

Prove that x^3 =y^6 +20 has no positive integer solution.

$$\mathrm{Prove}\:\mathrm{that}\:{x}^{\mathrm{3}} ={y}^{\mathrm{6}} +\mathrm{20}\:\mathrm{has}\:\mathrm{no}\:\mathrm{positive}\:\mathrm{integer}\:\mathrm{solution}. \\ $$

Question Number 196648 Answers: 0 Comments: 0

Question Number 198283 Answers: 1 Comments: 1

Given the number of consisting of 4 digits abcd such that a≤b≤c≤d is ... (A) 495 (B) 385 (C) 275 (D) 165 (E) 55

$$\mathrm{Given}\:\mathrm{the}\:\mathrm{number}\:\mathrm{of}\:\:\mathrm{consisting} \\ $$$$\:\mathrm{of}\:\mathrm{4}\:\mathrm{digits}\:\mathrm{abcd}\:\mathrm{such}\:\mathrm{that}\: \\ $$$$\:\mathrm{a}\leqslant\mathrm{b}\leqslant\mathrm{c}\leqslant\mathrm{d}\:\mathrm{is}\:... \\ $$$$\:\left(\mathrm{A}\right)\:\mathrm{495}\:\:\:\left(\mathrm{B}\right)\:\mathrm{385}\:\:\:\:\:\left(\mathrm{C}\right)\:\mathrm{275} \\ $$$$\:\left(\mathrm{D}\right)\:\mathrm{165}\:\:\:\:\left(\mathrm{E}\right)\:\mathrm{55}\: \\ $$

Question Number 198282 Answers: 1 Comments: 0

Question Number 196639 Answers: 2 Comments: 0

if sinx=(2/3) then find you the value of sin^6 x+cos^6 x???

$$\mathrm{if}\:\mathrm{sinx}=\frac{\mathrm{2}}{\mathrm{3}}\:\:\boldsymbol{\mathrm{then}}\:\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{you}}\:\boldsymbol{\mathrm{the}}\:\boldsymbol{\mathrm{value}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{sin}}^{\mathrm{6}} \boldsymbol{\mathrm{x}}+\boldsymbol{\mathrm{cos}}^{\mathrm{6}} \boldsymbol{\mathrm{x}}??? \\ $$

Question Number 196638 Answers: 0 Comments: 2

find the sum of the all 168 prime numbers from 1 to 1000. 1) 13245 2) 52788 3) 76127 4) 86344

$${find}\:{the}\:{sum}\:{of}\:{the}\:{all}\:\mathrm{168}\:{prime} \\ $$$${numbers}\:{from}\:\mathrm{1}\:{to}\:\mathrm{1000}. \\ $$$$\left.\mathrm{1}\right)\:\mathrm{13245} \\ $$$$\left.\mathrm{2}\right)\:\mathrm{52788} \\ $$$$\left.\mathrm{3}\right)\:\mathrm{76127} \\ $$$$\left.\mathrm{4}\right)\:\mathrm{86344} \\ $$

Question Number 196637 Answers: 1 Comments: 0

Question Number 196635 Answers: 1 Comments: 0

Question Number 196633 Answers: 0 Comments: 1

Question Number 196628 Answers: 0 Comments: 0

inf ∅ =^? +∞ and sup ∅ =^? −∞

$${inf}\:\varnothing\:\overset{?} {=}\:+\infty\:\:\:\:{and}\:\:\:\:\:{sup}\:\varnothing\:\overset{?} {=}\:−\infty \\ $$

Question Number 196626 Answers: 0 Comments: 0

Σ_(x∈R) x = 0 and Π_(x∈R^∗ ) x = −1

$$\underset{{x}\in\mathbb{R}} {\sum}{x}\:=\:\mathrm{0}\:\:\:\:{and}\:\:\:\underset{{x}\in\mathbb{R}^{\ast} } {\prod}{x}\:=\:−\mathrm{1} \\ $$

Question Number 196625 Answers: 0 Comments: 0

Let a=BC b=CA c=AB ABC is rectangle iff tan((A^ /2))=(a/(b+c))

$${Let}\:\:{a}={BC}\:\:{b}={CA}\:\:{c}={AB} \\ $$$${ABC}\:\:{is}\:{rectangle}\:{iff}\:\:{tan}\left(\frac{\hat {{A}}}{\mathrm{2}}\right)=\frac{{a}}{{b}+{c}} \\ $$

Question Number 196788 Answers: 2 Comments: 0

calculer ∫_0 ^1 (√(1−x^2 )) <erly rolvinst>

$${calculer}\:\int_{\mathrm{0}} ^{\mathrm{1}} \sqrt{\mathrm{1}−{x}^{\mathrm{2}} } \\ $$$$<{erly}\:{rolvinst}> \\ $$$$ \\ $$

Question Number 196785 Answers: 1 Comments: 0

Question Number 196784 Answers: 0 Comments: 0

Question Number 196780 Answers: 0 Comments: 10

A tugboat is travelling from Asaba to Onitsha across the River Niger with a resultant velocity of 20 knots. If the river flows at 12 knots, the direction of motion of the boat relative to the direction of water flow is?

Question Number 196775 Answers: 0 Comments: 10

A stream is flowing at 0.75ms−¹ and a boat heading perpendicular for the stream landed at the opposite bank at an angle of 30°. Calculate the velocity of the boat. A. 1.50ms-1 B. 1.00ms-1 C. 0.86ms-1 D. 0.65ms-1

Question Number 196774 Answers: 1 Comments: 0

A man standing on top of Burj Khalifa. If the height of Burj Khalifa including a man is 830 m, then what is the maximum distance up to which a man can see objects on Earth? (Earth's radius 6371 km)

$$ \\ $$A man standing on top of Burj Khalifa. If the height of Burj Khalifa including a man is 830 m, then what is the maximum distance up to which a man can see objects on Earth? (Earth's radius 6371 km)

Question Number 196770 Answers: 1 Comments: 2