Find the GCF for the group of terms.9y4, 6y5, and 6y3
A. 3y4
B. 6y5
C. 3y3
D. 9y3
Answer: C
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In
, m
= 42° while b = 5.6 and c = 7.2. To the nearest tenth of a square unit, find the area of the triangle shown.
A. 13.5
B. 15.0
C. 27.0
D. 30.0
Find all the local maxima, local minima, and saddle points of the function.
A. f(0, 0) = 641, local maximum; f(2, 5) = 0, local minimum; f(2, -5) = 0, local minimum; local minimum; f(-2, -5) = 0, local minimum
B. f(0, 0) = 641, local maximum; f(-2, -5) = 0, local minimum
C. f(0, 0) = 641, local maximum; f(0, 5) = 16, saddle point; f(2, 0) = 625, saddle point;
f(2, 5) = 0, local minimum; f(-2, -5) = 0, local minimum
D. f(0, 0) = 641, local maximum; f(0, 5) = 16, saddle point; f(0, -5) = 16, saddle point;
f(2, 0) = 641, saddle point; f(2, 5) = 0, local minimum; f(2, -5) = 0, local minimum;
f(-2, 0) = 625, saddle point; f(-2, 5) = 0, local minimum; f(-2, -5) = 0, local minimum
A fish population grows according to the logistic model
.
Here t is measured in years and N is measured in thousands of tons.A: Make a graph of the fish population over the first 20 years.B: According to the model, what is the carrying capacity for this fish population in this environment?C: According to the model, what is the optimum yield level for harvesting the fish?D: How long does it take for the fish population to grow from the optimum yield level to 90% of carrying capacity?
?
Round your answers to two decimal places, if necessary.
What will be an ideal response?
Find the speed of a particle with the given position function.