Solve the problem.The square root expression Rf gives the aging rate of an astronaut relative to the aging rate of a friend on Earth, Rf, where v is the astronaut's speed and c is the speed of light. An astronaut is moving at 70% of the speed of light. Substitute 0.7c in the expression above. If 10 weeks have passed for his friend, how long, to the nearest week, was he gone?

A. 5 weeks
B. 1 weeks
C. 12 weeks
D. 7 weeks


Answer: D

Mathematics

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Solve the equation by completing the square. Then (i) give the exact solutions and (ii) give the solutions rounded to the nearest thousandth.2x2 + 9x = -1 + 15x

A. (i) {3 ± } (ii) {5.646, 0.354}
B. (i)  (ii) {-0.177, -2.823}
C. (i) {-3 ± } (ii) {-0.354, -5.646}
D. (i)  (ii) {2.823, 0.177}

Mathematics

Provide an appropriate response.Derive a series for ln(1 + x2) for x > 1 by first finding the series for  and then integrating.  

A. 2 ln x + 
B. ln x + 
C. ln x + 
D. 2 ln x + 

Mathematics

Write the equation of the axis of symmetry.f(x) = 2x2 - 16x + 27

A. x = -4 B. x = 5 C. x = 4 D. x = -5

Mathematics

Solve.A $110,000 trust is to be invested in bonds paying 9%, CDs paying 5%, and mortgages paying 10%. The sum of the bond and CD investment must equal the mortgage investment. To earn an $9330 annual income from the investments, how much should the bank invest in bonds?

A. $25,000 B. $28,000 C. $27,000 D. $55,000

Mathematics