Answer:
194.5315427 grams
Step-by-step explanation:
The half-life of element x would be 66 years. So, after 20 years you would have:
.5^(20/66) x 240=0.810548 x 240
=194.5315427 grams of the element left ......
Your answer is 9 is in the hundred thousands place because it is 9 hundred and sixty eight thousand and six hundred and foutry six.
Answer:
<h2>$2479.5</h2>
Step-by-step explanation:
In this problem we will estimate her monthly earnings
given that she earns $13.05 per hour
and also given that she works for 190 hours in a month
then in a month, her earnings will be
=$13.05*190
=$2479.5
alternatively,
per week she works 47.5hours
in a week she will earn 13.05*47.7= $622.485
4 weeks make a month
then after one month her earning will be
$622.485*4= $2479.5
The first step to solving this is to use tan(t) =
![\frac{sin(t)}{cos(t)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%28t%29%7D%7Bcos%28t%29%7D%20)
to transform this expression.
cos(x) ×
![( \frac{sin(x)}{cos(x)} + cot(x) )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D%20%2B%20cot%28x%29%20%29)
Using cot(t) =
![\frac{cos(x)}{sin(x)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bcos%28x%29%7D%7Bsin%28x%29%7D%20)
,, transform the expression again.
cos(x) ×
![( \frac{sin(x)}{cos(x)} + \frac{cos(x)}{sin(x)} )](https://tex.z-dn.net/?f=%28%20%5Cfrac%7Bsin%28x%29%7D%7Bcos%28x%29%7D%20%2B%20%20%5Cfrac%7Bcos%28x%29%7D%7Bsin%28x%29%7D%20%29)
Next you need to write all numerators above the least common denominator (cos(x)sin(x)).
cos(x) ×
![\frac{sin(x)^{2} + cos(x)^{2} }{cos(x)sin(x)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%28x%29%5E%7B2%7D%20%2B%20cos%28x%29%5E%7B2%7D%20%20%7D%7Bcos%28x%29sin%28x%29%7D%20)
Using sin(t)² + cos(t)² = 1,, simplify the expression.
cos(x) ×
![\frac{1}{cos(x)sin(x)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bcos%28x%29sin%28x%29%7D%20)
Reduce the expression with cos(x).
![\frac{1}{sin(x)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bsin%28x%29%7D%20)
Lastly,, use
![\frac{1}{sin(t)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7Bsin%28t%29%7D%20)
= csc(t) to transform the expression and find your final answer.
csc(x)
This means that the final answer to this expression is csc(x).
Let me know if you have any further questions.
:)