Answer:
x=5/7
Step-by-step explanation:
3(x-2)+7x=1/2(6x-2)
3x-6+7x=3x-1
10x-6=3x-1
10x-3x=-1+6
7x=5
x=5/7
Answer: his percent of increase = 66.66%
Step-by-step explanation:
percent of increase = Increase/ Previous goal x 100
Previous goal = 3 goals
Yesterday's goal = 5 goals
Percent of increase = (5-3) / 3 x 100
=2/3 x 100
=0.6666 x 100
=66.66%
The expression for the angle m∠RST from the given bisctor is; 6x - 18
<h3>How to find the expression for a given angle?</h3>
From the given image in the attachment we are given that;
SQ bisects ∠TSR
m ∠RSQ = 3x - 9
Now, since SQ is a bisector of ∠TSR, we can say that
m∠RST = 2 * m∠RSQ
Thus angle RST is expressed as;
m∠RST = 2(3x - 9)
m∠RST = 6x - 18
Read more about Angle expression at; brainly.com/question/16953095
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Answer:

Where
represent the half life and the intial amount would be 
And we want to find the time in order to have a 95% of decay so we can set up the following equation:

If we apply natural log on both sides we got:

And solving for t we got:

So then would takes about 14.26 hours in order to have 95% of the lead to decay
Step-by-step explanation:
For this case we can define the variable of interest amount of Pb209 and for the half life would be given:

Where
represent the half life and the intial amount would be 
And we want to find the time in order to have a 95% of decay so we can set up the following equation:

If we apply natural log on both sides we got:

And solving for t we got:

So then would takes about 14.26 hours in order to have 95% of the lead to decay
For the first question, simply find a point that is on the line segment. For the second question, knowing that in quadrant iii the x values are negative and the y values are also positive using this fact find the point that has x negative and y positive.