The amount of strontium that will remain after 40 hours is 5 g
<h3>How to determine the number of half-lives </h3>
- Half-life (t½) = 10 hours
- Time (t) = 40 hours
- Number of half-lives (n) =?
n = t / t½
n = 40 / 10
n = 4
<h3>How to determine the amount remaining </h3>
- Original amount (N₀) = 80 g
- Number of half-lives (n) = 4
N = N₀ / 2ⁿ
N = 80 / 2⁴
N = 80 / 16
N = 5 g
Learn more about half life:
brainly.com/question/26374513
1. The first question is the equation of the line from point R as a median. It is a median if it intersects at the midpoint of the opposite length. This is represented as the red line. The midpoint is:
x,m = (4+-2)/2 = 1
y,m = (-1+7)/2 = 3
The midpoint is at (1,3). With this point and point R(9,9), the equation would be:
y = mx + b, where
m = (9 - 3)/(9 - 1) = 0.75
b is the y-intercept
Substituting any point,
3 = 0.75(1)+b
b = 2.25
Thus, the equation for the median is:
y = 0.75x + 2.25
2.) The altitude of the triangle from point r is a straight line from vertex R down to the opposite side which creates a right angle. As you can see in the picture, this is also the median. So, the equation is also y = 0.75x + 2.25.
3.) Yes, the answers for the median and altitude are the same, because the median also makes a perpendicular angle to the opposite length, which makes it the altitude.
4.) If the triangle is isosceles, then the length of sides QR and PR should be equal. Let's use the distance formula:
Between Q(-2,7) and R(9,9)
d = √(9 - ⁻2)² + (9 - 7)² = 5√5
Between P(4,-1) and R(9,9)
d = √(9 - 4)² + (9 - ⁻1)² = 5√5
Since the distances are equal, then the triangle is an isosceles.
Answer:
28/63 or 44.444444444444%
Answer:
Step-by-step explanation:
We want to factor the common monomial out of :
The greatest common monomial fact is
We factor to get:
The expression in the parenthesis has no common factor again since we factored the greatest common factor.
Answer:
Asymptotes, in mathematics, refer to a restriction at the domain set or the range set. It's drawn as a not solid line to indicate, graphically, the values that are not defined to the function.
So, when we express the domain and range sets of a function, we use parenthesis or brackets. In case of having asymptotes we use parenthesis, because that sing indicates an exclusion of the undefined value. On the other hand, the brackets indicates inclusion.
That means, if we use brackets to indicate asymptotes in an interval, that means the value is well defined for the function, which is false.