Answer:
10
Step-by-step explanation:
Answer:
= 39 - 10n
Step-by-step explanation:
There is a common difference between consecutive terms , that is
19 - 29 = 9 - 19 = - 10
This indicates the sequence is arithmetic with nth term ( expicit formula )
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 29 and d = - 10 , then
= 29 - 10(n - 1) = 29 - 10n + 10 = 39 - 10n
I'm assuming you're talking about the indefinite integral

and that your question is whether the substitution

would work. Well, let's check it out:



which essentially brings us to back to where we started. (The substitution only served to remove the scale factor in the exponent.)
What if we tried

next? Then

, giving

Next you may be tempted to try to integrate this by parts, but that will get you nowhere.
So how to deal with this integral? The answer lies in what's called the "error function" defined as

By the fundamental theorem of calculus, taking the derivative of both sides yields

and so the antiderivative would be

The takeaway here is that a new function (i.e. not some combination of simpler functions like regular exponential, logarithmic, periodic, or polynomial functions) is needed to capture the antiderivative.
Answer:
3 71/100 = 3.71
Step-by-step explanation:
To convert this mixed number (fraction) to a decimal just follow these two steps:
Step 1: divide numerator (71) by the denominator (100): 71 ÷ 100 = 0.71
Step 2: add this value to the the integer part: 3 + 0.71 = 3.71. So,
3 71/100 = 3.71
Answer: 35
Step-by-step explanation:
Triangle BDC is an equilateral triangle
Triangle ABD is an isosceles triangle
so the length of BD is 8
because BDC is equilateral all sides are 8
then you add your numbers up
8+8+8+11
=35