We are told that the first term is 2. The next term is 7(2) = 14; the third term is 7(14) = 98. And so on. So, the first term and the common ratio (7) are known.
The nth term of this geometric series is a_n = 2(7)^(n-1).
Check: What is the first term? We expect it is 2. 2(7)^(1-1) = 2(1) = 2. Correct.
What is the third term? We expect it is 98. 2(7)^(3-1) = 2(7)^2 = 98. Right.<span />
Answer:
Step-by-step explanation:
<h3>Given information</h3>
<h3>Question 15. f(g(2))</h3>
<u>Substitute values into the first function</u>
<u>Substitute the values of the first function into the second</u>
<h3>Question 16. g(f(2.5))</h3>
<u>Substitute values into the first function</u>
<u />
<u>Substitute the values of the first function into the second</u>
<h3>Question 17. g(f(-5))</h3>
<u>Substitute values into the first function</u>
<u>Substitute the values of the first function into the second</u>
<h3>Question 18. f(g(-5))</h3>
<u>Substitute values into the first function</u>
<u>Substitute the values of the first function into the second</u>
Hope this helps!! :)
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Answer:
See Below
Step-by-step explanation:
Thankfully, all the parts you need are given.
First, find the surface of one triangle
A = 1/2bh
A = 1/2(15)(9)
A = 1/2(135)
A = 67.5
Multiply by 4 to get the sum of all the sides.
67.5(4) = 270
Now find the surface area of one square
A = bh
A = (15)(15)
A = 225
multiply by 5 to get all 5 sides
225(5) = 1125
Add sums together
1125 + 270 = 1395
Point-slope form :-
... y = mx + b
<em>In this equation, 'm' represents the slope and 'b' represents the y-intercept. </em>
Given :-
... y = -1/7x + 2
<u><em>Hence, the slope is -1/7 and y-intercept is 2 or ( 0 , 2 ) </em></u>
Hope it helps!!
Answer:
Step-by-step explanation:
