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 length of the sides of the new triangle.

Fill in the blank(s) with the appropriate word(s).


((1/2))n

Mathematics

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Determine the specific solutions (if any) to the equation on the interval [0, 2?).cos2 ? + 2 cos ? + 1 = 0

A. 2?
B.
C.
D. ?

Mathematics

Provide an appropriate response.If a negative integer is subtracted from another negative integer, what can you say about the result, given that the two integers are not the same?

A. The result could be either a positive or negative integer, but will not be equal to zero. B. The result could be either a positive or negative integer or zero. C. The result will be a negative integer. D. The result will be a positive integer.

Mathematics

Solve the problem.A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by  where x is the number of days since the start of the job. Find the expenditure if the job takes 3 days.

A. $6600 B. $3700 C. $37 D. $66

Mathematics

One interesting property of the function f(x) = ex is that its rate of change for any value x is simply equal to ex. Find the rate of change of f(x) = ex for the given value of x. Round to the nearest hundredth.x = -4

A. 54.60 B. 0.02 C. 1.39 D. 0.14

Mathematics