The vector v has initial position P and terminal point Q. Write v in the form ai + bj; that is, find its position vector.P = (4, 1); Q = (-1, -2)
A. v = 3i + 5j
B. v = -5i - 3j
C. v = -3i - 5j
D. v = 5i + 3j
Answer: B
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Use inequality notation and interval notation to describe the set. ? y is no more than 20. ?
A. Inequality : y ? 20Interval : (?, -20] B. Inequality : y ? 20Interval : (-?, 20] C. Inequality : y ? 20Interval : (-?, 20] D. Inequality : y ? 20Interval : (-?, -20] E. Inequality : y ? 20Interval : (?, 20]
Find the limit and determine if the function is continuous at the point being approached.cos(3x - cos 3x)
A. does not exist; no B. 0; yes C. does not exist; yes D. 0; no
A container contains a large unspecified number of ping-pong balls. A student takes 80 balls from the container, marks them with a blue dot, returns the marked balls to the container, and thoroughly mixes the balls. She then takes 80 balls again from the container. Of these, 16 have blue dots. She now wants to use this data to estimate the total number of ping-pong balls in the container.An estimate for the number of ping-pong balls in the container is
A. 400. B. 480. C. 160. D. 576. E. none of these
Find the length of the unknown side of the right triangle with legs a and b and hypotenuse c. Round to three decimal places, if necessary.a = 4, b = 7
A. c = 28 B. c = 11 C. c = 8.062 D. c = 4.69