Provide an appropriate response.Without using a calculator, explain why 2? must be greater than 8 but less than 16.
What will be an ideal response?
Since 3 < ? < 4, 23 < 2? < 24; that is 2? is greater than 23 (or 8), but less than 24 (or 16). This is true because 2x is an increasing function.
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Find the sum of the arithmetic series.2 + 4 + 6 + 8 + ... + a56
A. 3192 B. 114 C. 3202 D. 3248
Use the compound interest formula to determine the future value of the given principal P.$14,000 at 15% compounded semiannually for 15 years
A. $108,569.37 B. $113,918.86 C. $114,018.02 D. $122,569.37
Solve the problem.Two forces, F1 of magnitude 35 newtons (N) and F2 of magnitude 55 newtons, act on an object at angles of 
and 
(respectively) with the positive x-axis. Find the direction and magnitude of the resultant force; that is, find 
Round the direction and magnitude to two decimal places.
What will be an ideal response?
Solve.A gas law in chemistry says that 
= 
. If T = 290, t = 360, 
, P = 40, and v = 5, find the value 
Round to the nearest thousandth.
A. 10.924 B. 109.241 C. 0.303 D. 616