Provide an appropriate response.The series of sketches below starts with an equilateral triangle having sides of length 1 (one). In the following steps, equilateral triangles are constructed by joining the midpoints of the sides of the preceding triangle. Develop a formula for the area of the nth new triangle. Use math induction to prove your answer.
What will be an ideal response?
n Proofs will vary.
Mathematics
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Solve the problem.For a particular radioactive sample, the decay rate C in disintegrations per second can be modeled by the equation logeC = loge194 - 0.09t, where t is the elapsed time in minutes. Solve this equation for the decay rate C as a function of time t.
A. C = 194e0.09t B. C = e194 + e-0.09t C. C = 194e-0.09t D. C = 194 + e-0.09t
Mathematics
The equation gives the position s = f(t) of a body moving on a coordinate line (s in meters, t in seconds). s (m)
When is the body moving backward?
A. 8 < t ? 10 B. 2 < t < 3, 4 < t < 5, 7 < t < 8 C. 2 < t < 3, 4 < t < 5, 7 < t < 9 D. 8 < t < 9
Mathematics
A. A(-2, 0); B(-6, -4) B. A(2, 0); B(6, -4) C. A(-2, 2); B(6, -4) D. A(-2, 0); B(6, -4)
Mathematics
Simplify.
A. 
B. 
C. 
D. 
Mathematics