dP/dt = 1000 * 9^t is the bacteria population's growth rate.where:P(t) is the population at time t, andP(0) = 6000.
The population after one hour would be:
P(1) = P(0) + <Integral of dP/dt from 0 to 1>
P(1) = P(0) + [ 1000 * 9^1 / ln(9) - 1000 * 9^0 / ln(9) ]
P(1) = 6000 + 3641 = 9461 would be the answer
Answer:
The answer to your question is: (1/2, 5)
Step-by-step explanation:
Parabola f(x) = 8x² - 8x + 7
y = 8x² - 8x + 7
Vertical Parabola equation
( x - h)² = 4p (y - k) Transform the original equation to this form
8x² - 8x = y - 7
8(x² - x + ( )²) = y - 7 Complete squares
8 (x² - x + (1/2)²) = y - 7 + 2 Simplification
8 (x² - x + 1/4) = y - 5
(x - 1/2)² = 1/8 (y - 5)
Finally Vertex
(1/2 , 5)
Answer:
Step-by-step explanation:
In a right angled triangle, if a perpendicular is drawn from a vertex of the right angle then triangles on both sides of the perpendicular are similar.
In ΔPDY, ∠D = 90° and DM ⊥ PY
So, ΔPMD ≈ ΔDMY
If two triangles are similar then their corresponding sides are proportional.
Put
So,
According to Pythagoras theorem, square of hypotenuse is equal to sum of squares of the other two sides.
In ΔDMY,
Put
Answer:
2 roses left over
Step-by-step explanation:
72/ 5 = 14.4
so we know for sure that we can put 14 roses on each vase but no mor than 14 on each vase Some will be left left over
14x5 = 70
72-70 = 2 (2 roses left over)
Answer:
A
Step-by-step explanation: