Answer:
The amount of oil was decreasing at 69300 barrels, yearly
Step-by-step explanation:
Given
Required
At what rate did oil decrease when 600000 barrels remain
To do this, we make use of the following notations
t = Time
A = Amount left in the well
So:
Where k represents the constant of proportionality
Multiply both sides by dt/A
Integrate both sides
Make A, the subject
i.e. At initial
So, we have:
Substitute in
To solve for k;
i.e.
So:
Divide both sides by 1000000
Take natural logarithm (ln) of both sides
Solve for k
Recall that:
Where
= Rate
So, when
The rate is:
<em>Hence, the amount of oil was decreasing at 69300 barrels, yearly</em>
Where is the triangle I cant help if I don't have the triangle
A = 31 degree
Cos 31 degree = 400/x
X = 400/ Cos 31
= 400/0.8572
= 466.7ft
y = mx + b
m = slope
b = y-intercept
Since it is parallel to the equation y = 3x it means that the equation that goes through point (-1, 0) has the same slope (3x)
To find the b plug the x and y of point (-1, 0) into the equation: y = 3x + b then solve for b
0 = 3(-1) + b
0 = -3 + b
0 + 3 = (-3 + 3) + b
3 = b
so...
y = 3x + b
Hope this helped and made sense!
~Just a girl in love with Shawn Mendes
This problem can be solved by calculating the area of the figure before removing the triangles, then subtracting the combined area of the triangles.
First, we have to find the area of the original composite figure. It appears that the figure consists of a 16 ft by 16 ft square with an 8 ft by 8 ft square cut out:
SA = (16*16) - (8*8)
SA = 256 - 64
SA = 192
The ORIGINAL area of this composite figure is 192 ft². Now we have to find the area of the removed triangles. Triangle area is found using half base times height. The base and height of each triangle appears to be 8, so we can plug in :
The area of each triangle is 32 ft
². Finally, we should subtract the 3 triangles' area from the composite figure's area:
SA - 3(TA)
192 - 3(32)
192 - 96
96
The shaded region's area is 96 ft².