Which expression(s) is(are) true?
1. A plane as a geometric figure that has position but no length, width, or depth.
2. Points are labeled with capital letters.
3. A plane extends infinitely far in both directions, but has no width or depth.
4. Planes are made up of points.
5. A line is a flat surface, extending infinitely far in every direction, that has length and width but no depth.
A. 1, 2, 3, 4
B. 2 , 4
C. 1, 2, 4, 5
D. 1, 2
Answer: B
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Find the derivative of the function at the given point and interpret the physical meaning of this quantity. Include units in your answer.The cost C, in dollars, of a rental car driven for m miles is given by C(m) = 25 + 0.16 m. Find C'(50).
A. C'(50) = 8 dollars pr mile; the cost increases at an instantaneous rate of $8.00 per mile when the car is driven 50 miles. B. C'(50) = 8 dollars; the instantaneous cost is $8.00 when the car is driven 50 miles. C. C'(50) = 0.16 dollars per mile; the cost increases at an instantaneous rate of $0.16 per mile when the car is driven 50 miles. D. C'(50) = 0.16 dollars; the cost increases at an instantaneous rate of $0.16 when the car is driven 50 miles.
Translate the statement into a mathematical expression.An employee's salary, s, is increased by $480.
A. 480 B. s + 480 C. 480s D. s - 480
Solve by any method.(5p + 3)2 = -17(5p + 3) - 72
A. {-8, -9}
B.
C.
D.
Solve the problem.How many liters of 80% hydrochloric acid must be mixed with 40% hydrochloric acid to get 15 liters of 65% hydrochloric acid? Write your answer rounded to three decimals.
A. 3.125 L B. 8 L C. 9.375 L D. 4.688 L