Answer:
10x^2-25x-35
Step-by-step explanation:
FOIL means first, outer, inner, and last.
The first term of each pair is 2x and 5x.
The outer term of each pair is 2x and 5.
The inner term of each pairs are -7 and 5x.
The last term of each is -7 and 5.
Now we just have to multiply the terms I pairs above:
First: (2x)(5x)=10x^2
Outer: (2x)(5)=10x
Inner: (-7)(5x)=-35x
Last: (-7)(5)=-35
------------------------------Add the terms:
10x^2-25x-35
Increment = 6% = 0.06
The explicit formula for the series is;
C(n) = C(n-1)(1.06), where n = nth month, C(n-1) = cost during previous month, C(n) = cost in month n
Applying the explicit formula;
Current cost = $150
2nd month cost = 150*1.06 = $159
3rd month cost = 159*1.06 = $168.54
The second option is correct.
Answer:
10.35miles/hour
Step-by-step explanation:
(63,756 x 60)/ (70 x 5,280) = (3,825,360/369,600) = 10.35
(Application of division)
By definition, an isosceles triangle has 2 of the 3 sides with the same length. From this, we already know that the third side must be or 5 or 12.
We also know that, for every triangle, the sum of two sides must be always bigger than the third side, for any combination.
From this second affirmation, we know that the third side can not be 5, because:
From this, we conclude that the third side of an isosceles triangle with sides equal to 5 and 12 is equal to 12.
By the definitions of cosecant, secant, and cotangent, we have
Then we rewrite the fraction as
The reason for this is that we want to apply the well-known limit,
for 
. So when we take the limit, we have
