As stated in (i), the equation of the line is: ln y = -0.015x + .26
(By the way, I checked your answers for parts (i) and (ii) and they are both correct)
(iii)
Plug in (1.1) for y and solve:
ln (1.1) = -0.015x + .26
0.095 = -0.015x + .26
-0.165 = - 0.015x
10.979 = x
Answer: x = 10.979
<em>Denote x2 by y.
</em>
<em> </em>
<em>(x2-3)7=(y-3)7
</em>
<em> </em>
<em>This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8
</em>
<em> </em>
<em>You have 7 terms of (y-3) in (y-3)7. To get the fourth power of y, you need to choose y from four of the terms. The number of ways you can do this is the combinations of 7 things taken 4 at a time. This is:
</em>
<em> </em>
<em>7!/(4!3!)=35</em>
<em />
<em>So, the coefficient of x8 in the given expansion will be 210.</em>
<em>HOPE IT HELPS</em>
<em>THANK YOU </em>
Answer:
94
Step-by-step explanation:
Given the addition problem:
58 + 36
We can form a table :
5 _______ 8
+
3 _______ 6
9 4
Hence, (58 + 36) = 94
Answer:
The answer is 2(the square root of 65 )
Step-by-step explanation:
Plug ( -6, 2) and (8, 10) into the distance formula and solve.
Distance = the square root of ((x2 - x1)^2 + (y2 - y1)^2))
Distance = the square root of ((8 - -6)^2 + (10 - 2)^2))
Distance = the square root of (14^2 + 8^2)
Distance = the square root of (196 + 64)
Distance = the square root of 260 which can be simplified to 2(the square root of 64)
