Answer:
A: Diane earns 200 + (10×20)= 400
B: Darryl earns (400-250)/20= $7.50 per hour
We have been given that a geometric sequence's 1st term is equal to 1 and the common ratio is 6. We are asked to find the domain for n.
We know that a geometric sequence is in form
, where,
= nth term of sequence,
= 1st term of sequence,
r = Common ratio,
n = Number of terms in a sequence.
Upon substituting our given values in geometric sequence formula, we will get:

Our sequence is defined for all integers such that n is greater than or equal to 1.
Therefore, domain for n is all integers, where
.
Answer:
(a) 3 ft, 4 ft, 5 ft
Step-by-step explanation:
The triangle inequality requires the sum of the two short sides exceed the long side.
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a) 3 ft + 4 ft = 7 ft > 5 ft . . . . . triangle is possible
b) 4 yd + 1 2/3 yd = 5 2/3 yd < 10 yd . . . . not a possible triangle
c) 3 ft + 3 ft = 6 ft < 7 ft . . . . not a possible triangle
d) 4 in + 4 in = 8 in . . . . not a possible triangle (not greater than 8 in)
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The first set of side lengths can form a triangle: 3 ft, 4 ft, 5 ft.
Answer:
(-57/23, - 50/23)
Step-by-step explanation:
equation form: x = -57/23, y = - 50/23