Provide an appropriate response.It can be shown that the inequalities 1 -  <  < 1 hold for all values of x close to zero. What, if anything, does this tell you about  Explain.

What will be an ideal response?


Answers may vary. One possibility: 1 -  = 1 = 1. According to the squeeze theorem, the function  , which is squeezed between  and 1, must also approach 1 as x approaches 0. Thus, 

Mathematics

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Which of the numbers are the given type of number?7, , -8, 0, , - , 5.3, Integers

A. 7, -8, 0
B. 7, 0, 
C. 7, -8, 0, 
D. 7, 0

Mathematics

Solve the problem.The radius of a sphere depends on its surface area, S, and is given by the formula  r = .What is the surface area of a sphere with radius of 8.3 inches?Use 3.14 for ?.

A. 26.1 square inches B. 216.3 square inches C. 104.2 square inches D. 865.3 square inches

Mathematics

Rewrite the following number using digits.Seventy million, one hundred forty-two thousand, six hundred forty-four

A. 70,142,000,644 B. 7,142,644 C. 70,142,644 D. 700,142,644

Mathematics

Solve the problem.At a single ticket booth, customers arrive randomly at a rate of x per hour. The average line length is given by where  To keep the wait in line reasonable, it is required that the average line length should not exceed 5 customers. Determine the range of rates at which customers can arrive before a second attendant is needed. Express your answer in interval form.

A. [0, 19) B. [0, 17] C. [0, 16] D. [0, 18]

Mathematics