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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Find the quadratic approximation of f at x = 0.f(x) = x
A. Q(x) = 16x2 B. Q(x) = 1 + 4x C. Q(x) = 1 - 4x D. Q(x) = 4x
Mathematics
Let x be a number. Translate the English phrase or sentence into a mathematical expression. The total of 113 and a number
A. 113x B. 113 C. 113 + x D. 113 - x
Mathematics
y? ? 4xy = 8x 6
Solve the differential equation.
Mathematics
Suppose a pair of dice is thrown 11 times. What is the probability that a sum of 10 occurs exactly 4 times? Round your answer to six decimal places. ?
A. 0.022053 B. 0.043112 C. 0.071062 D. 0.008655 E. 0.103840
Mathematics