Evaluate the expression.(-7)2
A. -14
B. -49
C. 14
D. 49
Answer: D
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Solve the problem.Consider the pair of differential equations that model a predator-prey system with populations x and y. x'(t) = 3x - 4xy y'(t) = -y + 3xy(a) Find the lines along which x'(t) = 0,(b) find the lines along which y'(t) = 0, (c) find the equilibrium points for the system.
A. (a) x' = 0 along the lines x = and y = 0
(b) y' = 0 along the lines y = and x = 0
(c) (0, 0) and
B. (a) x' = 0 along the lines x = 0 and y =
(b) y' = 0 along the lines y = 0 and x =
(c) (0, 0) and
C. (a) x' = 0 along the lines x = 0 and y =
(b) y' = 0 along the lines y = 0 and x = 3
(c) and
D. (a) x' = 0 along the lines x = 0 and y =
(b) y' = 0 along the lines y = 0 and x = 3
(c) (0, 0) and
Provide an appropriate response.Estimate answer by rounding numbers to the nearest ten. Then find the exact answer. A welder uses 88 welding rods for his first job and 19 welding rods for a second job. How many more rods did he use for the first job?
A. 60 rods; 79 rods B. 70 rods; 71 rods C. 60 rods; 69 rods D. 70 rods; 69 rods
Use a graphing calculator to plot the data and find the quadratic function of best fit.A rock is dropped from a tall building and its distance (in feet) below the point of release is recorded as accurately as possible at various times after the moment of release. The results are shown in the table. Find the regression equation of the best model.
A. y = 13.0 e0.686x B. y = -74.9 + 290 lnx C. y = 15.95x2 D. y = - 148.4 + 112x
Find the slope and the y-intercept of the equation.x = 6
A. -6; (-6, 0) B. not defined; no y-intercept C. -6; (0, 0) D. not defined; (6, 0)