It like instead of saying 0.0000056 you can write it in a shorter form like 5.6 * 10-6.Its like moving the decimal point between 5 and 6 and multiplying it by the power 10*6. its like how much time you move the decimal point, it will be how much time you say 10 to the power of how much you move it.
Answer:
I think its A
Step-by-step explanation:
...
(5w-2)² would be the answer so (5w-2)(5w-2)
3x = 10(2/5)
3x = 4
x = 4/3 or x = 1 1/3
Answer:
a10 = 1024/729 a10 =- 1024/729
Step-by-step explanation:
Formula for geometric sequence
an = a r^n
The third term is
24 = a r^3
The fifth terms is
32/3 =a r^5
Divide these equations
32/3 = ar^5
--------------------
24 = a r^3
32/3
------ = r^2
24
Copy dot flip
32/3 * 1/24 = r^2
Divide the top and bottom by 8
4/3*3 = r^2
2*2/(3*3) = r^2
Take the square root of each side
sqrt (2*2/(3*3) =sqrt (r^2)
± 2/3 = r
Now we need to solve for a
an = a (2/3)^n or an = a (-2/3)^n
Using the third term
24 = a (2/3)^3 24 = a (-2/3)^3
24 = a (8/27) 24 = a (-8/27)
Multiply by 27/8 Multiply by -27/8
24*27/8 = a 24*-27/8 = a
81=a -81=a
an = 81 (2/3)^n or an = -81 (-2/3)^n
Now we want to find the 10th term. Let n =10
a10 = 81 (2/3)^10 or a10 = -81 (-2/3)^10
a10 = 1024/729 a10 =- 1024/729