Solve the problem.The following formula accurately models the relationship between the size of a certain type of tumor and the amount of time that it has been growing:V(t) = 400(1 - e-.0024t)3,where t is in months and V(t) is measured in cubic centimeters. Calculate the rate of change of tumor volume at 100 months.
A. 0.076 cm3/month
B. 0.447 cm3/month
C. 0.162 cm3/month
D. 0.103 cm3/month
Answer: D
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Describe the given set of points with a single equation or with a pair of equations.The plane through the point (4, 10, -6) and parallel to the yz-plane
A. 4 + y + z = 0 B. x = 4 C. y = 10 and z = -6 D. 10y - 6z = 0 and x = 4
Simplify by combining like terms.3.8x + y + 7.6 - 6.2x - 3.7 - y
A. 2.4x + 11.3 B. -2.4x + 3.9 C. -2.4x + 3.9 + 2y D. -2.4x - 3.9 - y
Solve the problem.An experimental model for a suspension bridge is built. In one section, cable runs from the top of one tower down to the roadway, just touching it there, and up again to the top of a second tower. The towers are both 12.25 inches tall and stand 70 inches apart. Find the vertical distance from the roadway to the cable at a point on the road 14 inches from the lowest point of the cable.
A. 1.76 in. B. 2.16 in. C. 1.96 in. D. 7.84 in.
Use both the addition and multiplication properties of inequality to solve the inequality. Graph the solution set on a number line.6x - 8 < 7(x - 7)
A. (-57, ?)
B. (-?, -41)
C. (41, ?)
D. (-?, 57)