Answer:
The correct option is;
Between 40 and 50 days
Step-by-step explanation:
The number of seeds that are produced by a plant maturing at age t, S(t), is given as follows;
S(t) = -0.3·t² + 30·t + 0.2
The proportion of plants maturing at age (t) in the plants to be engineered by the geneticist P(t) = 90000/(t + 100)
The number of seeds produced by the plants = S(t) × P(t) = (-0.3·t² + 30·t + 0.2)×(90000/(t + 100))
To find the maximum number of seeds, we differentiate using an online tool, and equate to zero to get;
d((-0.3·t² + 30·t + 0.2)×(90000/(t + 100)))/dt = (-27000·t² - 5400000·t + 269982000)/(t + 100)² = 0
(-27000·t² - 5400000·t + 269982000)/(t + 100)² = 27000(t - 41.419)(t + 241.419)/(t + 100)² = 0
t = 41.419 or t = -241.419
Therefore, in order to maximize the production of seed of the crops of the farmer, the geneticist should select between 40 and 50 days.
The number of times the tires will have to spin is 24.9 times. How I got this was by finding the circumference, the equation in this case where pi is 3.14 is 3.14(2.1). That equals 6.594, then you divide 164 by 6.594 to get 24.87109 blah blah and you round that up to 24.9.
use the distributive property
5x(3x+4)
15x^2 +20x
The reciprocal parent function would be, F(x)= 1/x
Answer:
The sear tower is 
times higher than the sears tower model
Step-by-step explanation:
we know that
The ratio of the height of the model to the height of the actual sears tower is equal to the scale factor
Let
z------> the scale factor
x-------> the height of the model
y-------> the height of the actual
so
we have
substitute
simplify
Remember that
so
