Solve the problem.Initially, a pendulum swings through an arc of 3 feet. On each successive swing, the length of the arc is 0.8 of the previous length. After 10 swings, what total length will the pendulum have swung (to the nearest tenth of a foot)?
What will be an ideal response?
approximately 13.4 feet
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Provide an appropriate response.Solve the following inequality: 3(2x - 7) < -10 + (x + 4)
Fill in the blank(s) with the appropriate word(s).
For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation.f(x) = 
; g(x) = 3x - 2;
Find 
.
A. 
(x) = 
; (-?, 0) ? (0, ?)
B. 
(x) = 
; [0, ?)
C. 
(x) = 
; (-?, 
? 
, ?)
D. 
(x) = 
; (0, 
? 
, ?)
Factor the polynomial completely. If the polynomial cannot be factored, say it is prime.1000y3 + 343
A. (10y + 7)(100y2 - 70y + 49) B. (1000y - 7)(y2 + 70y + 49) C. (10y + 7)(100y2 + 70y + 49) D. (10y - 7)(100y2 + 70y + 49)
Find the coordinates of the vertex and the intercepts of the quadratic function. When necessary, approximate the x-intercepts to the nearest tenth.g(x) = 7x2 + 84x + 203
A. V(-6, -49); I(0, 203); (-8.6, 0); (-3.4, 0) B. V(84, 203); I(0, -203); (-12, 0); (12, 0) C. V(6, -49); I(0, -203); (-13, 0); (1, 0) D. V(-42,-49); I(0, 203); (3.4, 0); (8.6, 0)