Answer:
Step-by-step explanation:
Add the square of half the x-coefficient to both sides.
x² -12x +(-6)² = 61 +(-6)²
<h2> x² -12x +36 = 97</h2><h2 />
Let the distance traveled by car X be x km
<span>let the distance traveled by car Y by y km </span>
<span>their paths form a right-angled triangle. </span>
<span>Let the distance between them be D km </span>
<span>D^2 = x^2 + y^2 </span>
<span>2D dD/dt = 2x dx/dt + 2y dy/dt </span>
<span>dD/dt = (x dx/dt + y dy/dt)/D </span>
<span>at the given case: </span>
<span>x = 60, y = 80 , dx/dt = 80, dy/dt = 100 </span>
<span>D^2 = 60^2 + 80^2 = 10000 </span>
<span>D = 100 </span>
<span>dD/dt = (60(80) + 80(100))/100 </span>
<span>= 128 </span>
Answer:
Step-by-step explanation:
The logistic function of population growth, that is, the solution of the differential equation is as follows:
We use this equation to find the value of r.
In this problem, we have that:
So we find the value of r.
Applying ln to both sides of the equality
So
The differential equation is
Your answer is 3
Why? Because 3^4 is 81
same as saying 3 x 3 x 3 x 3=81 :)
Answer: 512m³
Step-by-step explanation:
v = whl
The volume for left building:
v = w x h x l
v = 4 x 10 x 8
v = 320 m³
The volume for right and lower building:
v = w x h x l
v = 8 x 4 x 6
v = 192 m³
The total volume for the entire Charter School is: 320m³ + 192m³ = 512m³
