Find the negation of the quantified proposition below. Then determine the negation’s truth value.
All boys like math.
a. Every boy likes math.; True
b. Some boys like math.; True
c. Some boys like math.; False
d. Every boy likes math.; False
b. Some boys like math.; True
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Perform the indicated operation without the use of a calculator and express each answer in decimal notation.
A. 60,000 B. 0.06 C. 0.00001667 D. 0.0006
Provide an appropriate response.Find the sum of two vectors if one has a direction of 52° and a magnitude of 12 and the other has a direction of 30° and a magnitude of 8.
A. magnitude of 19.65 with a direction of 41° B. magnitude of 19.65 with a direction of 43.2° C. magnitude of 14.42 with a direction of 41° D. magnitude of 19.65 with a direction of 46.8°
For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value 
r(t) = (4t2 - 4t)i + (t + 9)j + k ; t0 = 2
A. x = 8 + 12t, y = 11 + t, z = 1 B. x = 8 + 12t, y = 11 + t, z = 0 C. x = 12t, y = t, z = t D. x = 8 + t, y = t, z = t
Write an inequality using the variable x that corresponds to the set graphed on the number line.
A. -5 < x < -1 B. -5 ? x ? -1 C. -5 ? x < -1 D. -5 < x ? -1