Verify the identity.cos 4? = 2 cos2(2?) - 1
What will be an ideal response?
cos 4? = cos[2(2?)] = 2 cos2(2?) - 1
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For a certain island chain, the area A, in square miles, can be estimated by counting the number of reptile and amphibian species on the island. The following table shows the relationship.
2030405060
52519215155945619562?
A. Calculate the average rate of change in area from 30 to 40 species.B. Explain in practical terms the meaning of the number you calculated in part A.C. Use your answer from part A to estimate the area of an island in the chain which has 32 species of reptiles and amphibians.
What will be an ideal response?
Identify the type of graph.
= 1 + 
A. The graph is a hyperbola that opens to the right and left. B. The graph is an ellipse with foci on the x-axis. C. The graph is a hyperbola that opens upward and downward. D. The graph is an ellipse with foci on the y-axis.
Solve the problem.Determine whether the ordered triple 
is a solution of the system of equations.9x - 9y - 6z = -116x + 3y - 3z = 1 x - y + 2z = -3
A. No B. Yes
Write the expression in standard form.(-6 + 5i) - 5
A. -1 + 5i B. -11 + 5i C. -1 - 5i D. 11 - 5i