Answer:
M(t) = 400•(0.79)^t
Step-by-step explanation:
As we can see, the change in mass is not uniform linearly
So it will be better if we used an exponential representation
The general form for an exponential representation is:
M(t) = I(1-r)^t
where r is the rate of decay, I is the initial value and t is the time in weeks with M(t) being the mass
Let us use any two points on the table
Thus, we have it that;
50 = 400(1-r)^9 •••••(i)
201 = 400(1-r)^3 •••••(ii)
divide i by ii
50/201 = (1-r)^6
0.249 = (1-r)^6
1-r = 6√0.249
1-r = 0.79
r = 1-0.79
r = 0.21
So the exponential equation is;
M(t) = 400•0.79^t
The coordinates of B is (22.5, -3.6)
<h3>How to find the coordinates of B?</h3>
The points are given as:
G = (8.3,-1.4)
B = (x,y)
L = (-5.9,8).
The midpoint is calculated as:
G = 0.5 * (x1 + x2, y1 + y2)
So, we have:
(8.3,-1.4) = 0.5 * (x - 5.9, y + 0.8)
This gives
(16.6,-2.8) = (x - 5.9, y + 0.8)
Solve for x and y
x - 5.9 = 16.6
y + 0.8 = -2.8
Evaluate
x = 22.5
y = -3.6
Hence, the coordinates of B is (22.5, -3.6)
Read more about midpoints at:
brainly.com/question/25886396
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Answer:
1. A
2. B
3. D
Sort of explanation:
This is a 30° 60° 90° triangle, so the rules below apply:
x is the short leg of the triangle, located across from the 30° angle. (In this problem, the short leg is labled b)
The hypotenuse leg is across from the right angle, and is always 2x (In this problem, the hypotenuse leg is labled c)
The long leg of the triangle is located across the 60° angle and is always x√3. (in this problem, the long leg is labeled a)
For the first one, you just add them and you obtain an equation in y. Solve for y, then substitute y for the solution in either of the equations, then solve for x.
In the second one, multiply the first by -2, then do the addition and something similar to the first one.
Answer:
The value of Y is 2.09443
Step-by-step explanation:
We have to find the value of Y for the given value of x.
The equation of Y is given by
And the value of x is 4/5. On substituting this value of x in the equation of y, we get
Add/subtract the numbers, we get
Therefore, the value of Y is 2.09443
