Answer:
88
Step-by-step explanation:
Treat this as an ordinary linear equation. Try to isolate x, as some value. Also remember the basic rules of inequalities: If you're dividing, or multiplying, by a negative, you flip the inequality.
Answer:
Step-by-step explanation:
We can write this rate as an ordinary differential equation.
Where a is proportional constant, P the population variable, and t the time.
Integrating each side of the equation.
To find C we need to use the initial condiction, it means evaluae P at t=0.
Now, we use the sentence the population has doubled in 5 years.
We can find "a" in this condition.
Finally, let's find how long will it take to triple.
I hope it helps you!
Answer:
Vertex: (1, 6)
Axis of symmetry: x = 1
Step-by-step explanation:
Answer:
Step-by-step explanation:
A circle is inscribed in an equilateral triangle PQR with centre O. If angle OQR = 30°, what is the perimeter of the triangle?
This is a circle inscribed in an equilateral triangle with side s.
If you are asking for the perimeter of PQR, it is 3s.
If you are asking for the perimeter of OQR, it is (3+23–√3)s
Since OR and SR are the hypotenuses of right triangles with adjacent side equal to ½ s, their length is ½s / cos 30° = (√3) /3.
(3/3)s + ((√3) /3)s + ((√3) /3)s = ((3 + 2√3)/3)s ≈ 2.1547s
Hope it helps
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