Solve the problem.How many ways are there to choose a soccer team consisting of 3 forwards, 4 midfield players, and 3 defensive players, if the players are chosen from 10 forwards, 7 midfield players, and 5 defensive players?

A. 646,646
B. 42,000
C. 36,288,000
D. 165


Answer: B

Mathematics

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Find T, N, and B for the given space curve.r(t) = i  + j + 3tk

A. T = (cos 0.571t)i  - (sin 0.571t)j ; N = (-sin 0.571t)i - (cos 0.571t)j  ; B = (cos 0.571t)i - (sin 0.571t)j - k
B. T = (sin 0.571t)i  - (cos 0.571t)j ; N = (-sin 0.571t)i - (cos 0.571t)j  ; B = (cos 0.571t)i - (sin 0.571t)j - k
C. T = (cos 0.571t)i  - (sin 0.571t)j + k ; N = (-sin 0.571t)i - (cos 0.571t)j  ; B = - k
D. T = (cos 0.571t)i  - (sin 0.571t)j + k ; N = (-sin 0.571t)i - (cos 0.571t)j  ; B = (cos 0.571t)i - (sin 0.571t)j - k

Mathematics

Solve the problem.A merchant has coffee worth $40 a pound that she wishes to mix with 90 pounds of coffee worth $80 a pound to get a mixture that can be sold for $70 a pound. How many pounds of the $40 coffee should be used?

A. 30 lb B. 60 lb C. 15 lb D. 120 lb

Mathematics

Evaluate.-128

A. 28 B. -1 C. 1 D. -28

Mathematics

Find the unknown value.$315 interest is paid when $2100 is borrowed at 5% simple interest. Find the time for the loan.

A. 2 years B. 5 years C. 4 years D. 3 years

Mathematics