Write the negation of the proposition.Susie lives in a green house.

A. Billy lives in a green house.
B. Susie lives in a blue house.
C. Susie does not live in a green house.
D. Susie does not live in a house that is not green.


Answer: C

Mathematics

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Solve the problem.A manufacturer determines that the daily cost C, in dollars, to produce x units of a product is modeled by the function C(x) = 0.1x2 - 26x + 1590. How many units can the manufacturer produce each day in order to keep the daily cost below $390?

A. More than 60 but fewer than 200 units B. Fewer than 200 units C. Fewer than 60 or more than 200 units D. More than 60 units

Mathematics

Factor completely.u2 - 2uv - 35v2

A. (u + 5v)(u - 7v) B. (u - 5v)(u + 7v) C. prime D. (u - 5v)(u + v)

Mathematics

Verify the identity. +  = 2 sec t

What will be an ideal response?

Mathematics

Solve the problem.Kevin invested part of his $10,000 bonus in a certificate of deposit that paid 6% annual simple interest, and the remainder in a mutual fund that paid 11% annual simple interest. If his total interest for that year was $800, how much did Kevin invest in the mutual fund?

A. $3000 B. $4000 C. $6000 D. $5000

Mathematics