12 full crates of walnuts weigh 414 pounds, whereas an empty crate weighs 7 pounds. How much do the walnuts alone weigh?
?
A. 407 pounds
B. 402 pounds
C. 330 pounds
D. 421 pounds
E. 323 pounds
Answer: C
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Find the equation of the tangent plane (or tangent "hyperplane" for a function of three variables) at the given point p.f(x, y, z) = 3x2 - 3y2 + yz2, p = (-1, 1, -1)
A. w = -6x - 6y - 2z - 2 B. w = -6x - 5y - 2z + 4 C. w = -6x - 5y - 2z - 2 D. w = -6x - 5y + 2z - 2
A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.a1 = 1, an+1 = an4
A. 1, 4, 16, 64, 256, 1,024 B. 1, 1, 1, 1, 1 C. 1, 4, 16, 64, 256 D. 1, 5, 9, 13, 17
Determine whether the pair of triangles is congruent by the SAS property.
A. Yes B. No
Factor the GCF from each term in the expression.24x9y9 - 24x7y7 - 60x2y4
A. 12(2x9y9 - 2x7y7 - 5x2y4) B. 12x2y4(2x7y5 - 2x5y3 - 5) C. No common factor D. 12x2(2x7y9 - 2x5y7 - 5y4)