Answer:
<em>A ≈ 3215.36</em>
Step-by-step explanation:
A = πr²
Radius - D/2
Radius - 64/2 → 32
A = 3.14(32)²
A = <em>3215.36</em>
Hope this helps! :)
This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...
Any arithmetic sequence can be expressed as:
a(n)=a+d(n-1), a=first term, d=common difference, n=term number.
We know a=1 and d=7 so:
a(n)=1+7(n-1)
a(n)=1+7n-7
a(n)=7n-6
The above is the "rule" for the nth term.
When you are multiplying 2 numbers with exponents, you need to add the exponent. When you multiply an exponent with an exponent, you multiply them.
So,
(3^2 x 7^4) ^9
First multiply the base and add exponents = ( 21^6) ^9
= 21 ^6x9
21^54
The same rule applies for variables, just pretend there is an imaginary 1.
Since both terms have the same variable to the same power, you can simply add the coefficients...
14x^7
