Answer:
when giving a rate you need to get a unit rate which is a fraction with a 1 on top then you would divide by the same number as the number if you have 6/6 then divide by 6
Step-by-step explanation:
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Answer:
1) P(0) = 5000
2) P(t --> ∞) = 25000
Step-by-step explanation:
P(t) = (25t² + 125t + 200)/(t² + 5t + 40)
1) Population at the moment corresponds to population at t = 0
P(0) = (25(0²) + 125(0) + 200)/(0² + 5(0) + 40) = (0 + 0 + 200)/(0 + 0 + 40) = 5 thousand = 5000 (P was stated to be in thousands)
2) Population in the long term corresponds to the population as t --> ∞
P(t) = (25t² + 125t + 200)/(t² + 5t + 40)
Divide through the numerator and denominator by t²
P(t) = (25 + (125/t) + (200/t²))/(1 + 5/t + (40/t²))
P(t --> ∞) = (25 + 0 + 0)/(1 + 0 + 0) (Since, (1/∞) = 0)
P(t --> ∞) = 25 thousand = 25000
Answer:
x = 8
Step-by-step explanation:
2(78°) = 20x - 4
156 = 20x - 4
add 4 to each side of the equation:
160 = 20x
divide both sides by 20:
x = 8
V = l x w x h. Area of the base if also lengh x width, so V = ( area of the base) x h 18 = 4.5 x h.So height : h = 18 / 4.5