Answer: 46 over 99
46/99
*
Step-by-step explanation:
Explanation:
Case
0
.46
If you intend
0.464646
...
=
0
.
46
then: 0
.
46
=
46
99
⋅
0
.
¯
9
=
46
99
⋅
1
=
46
99
Note that 46 and 99 have no common factors larger than
1 , so this is in simplest terms.
Answer:
... you <u>add</u> the exponents
Step-by-step explanation:
An exponent is a way of showing repeated multiplication. For example, ...
x^2 means x·x
and
x^3 means x·x·x
If we multiply these two expressions together, we get ...
(x^2)·(x^3) = (x·x)·(x·x·x) = x·x·x·x·x
This is a product in which x appears as a factor 5 times, so we can write it using an exponent as ...
x·x·x·x·x = x^5
___
That is, when we multiply the expressions, we add the numbers of times the factor appears in the product:
2 + 3 = 5
x^2 · x^3 = x^(2+3) = x^5
Answer:
This is a convergent geometric series. The sum is 30.
Step-by-step explanation:
In your series, the ratio of terms is 3/5, a value whose magnitude is less than 1. That means the series is convergent. The sum is given by the formula ...
S = a1/(1 -r)
where a1 is the first term (12) and r is the common ratio (3/5). This gives ...
S = 12/(1 -3/5) = 12·5/2 = 30
The series is convergent and has a sum of 30.
2 centimeters converts to 0.02 meters. Hope this helped!
Answer:
x= -2 y= -1
Step-by-step explanation:
stack the 2 equations on top of each other and add them together
the 2x and -2x cancel out and you are left with -9y=9
this gives you y= -1
you plug the y value into one of the equations:
2x - (-1) = -3
2x+1 = -3
2x= -4
x= -2
