Answer:
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,
r = 6/- 2 = - 18/6 = - 3
Therefore, the sequence is geometric.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = - 2
r = - 3
The explicit formula is
Tn = - 2 × (- 3)^(n - 1)
To find the 8th term, T8,
T8 = - 2 × (- 3)^(8 - 1)
T8 = - 2 × (- 3)^7
T8 = - 2 × - 2187
T8 = 4374
He is 2√19 miles far way from starting point.
Suppose Billy starts at point A, turns at point B, and ends at point D, as shown below.
If Billy turns 60◦ northward and walks six miles, then we can draw a 30 − 60 − 90 triangle whose hypotenuse is 6 miles
It follows that Billy traveled 6/2 = 3 miles eastward during these 6 miles, and that he traveled 3√3 miles northward during these 6 miles. In total, Billy traveled 4 + 3 = 7 miles eastward and 3√ 3 miles northward.
By the Pythagorean Theorem, the distance from his starting point is q:
(7)2 + (3√3)2
=√49 + 27
= √76
= 2√19 .
Learn more about Pythagorean Theorem on:
brainly.com/question/20545047
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Answer:
$3.41
Step-by-step explanation:
262.94 + 83.65 = 346.59
350.00 - 346.59 = 3.41
Answer:
Option D: 6x-14 is the correct answer.
Step-by-step explanation:
Given that:
Length of the box = L = 2x-2
Width of the box = W = x-5
Perimeter is defined by the sum of length of all sides of the box.
Perimeter of the box = P = 2L + 2W
Perimeter of box = 2(2x-2) + 2(x-5)
Perimeter = 4x-4+2x-10
Perimeter = 6x-14
The perimeter of the box is 6x-14.
Hence,
Option D: 6x-14 is the correct answer.
