1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lbvjy [14]
2 years ago
14

A farmer grows a particular plant that has a gene that can be manipulated to control the age t at which the plant matures. The n

umber of seeds S(t) produced by a plant maturing at age t is S(t)=−0.3t2+30t+0.2 seeds per mature plant A farmer asks the geneticists to genetically engineer a plant line that accounts for the fact that on his farm, only P(t)=90000t+100, plants mature to age t. What age of maturity should the geneticist select for the plants to maximize the seed production of the farmer's crop?a. Between 130 and 140 days b. Between 120 and 130 days
Mathematics
1 answer:
Kruka [31]2 years ago
3 0

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.

You might be interested in
Ivan draws PQR on the coordinate plane.
Ivahew [28]

Answer:

Perimeter of PQR = 37 units (Approx.)

Step-by-step explanation:

Using graph;

Coordinate of P = (-2 , -4)

Coordinate of Q = (16 , -4)

Coordinate of R = (7 , -7)

Find:

Perimeter of PQR

Computation:

Distance between two point = √(x1 - x2)² + (y1 - y2)²

Distance between PQ = √(-2 - 16)² + (-4 - 4)²

Distance between PQ = 18 unit

Distance between QR = √(16 - 7)² + (-4 + 7)²

Distance between QR = √81 + 9

Distance between QR = 9.48 unit (Approx.)

Distance between RP = √(7 + 2)² + (-7 + 4)²

Distance between RP = √81 + 9

Distance between RP = 9.48 unit (Approx.)

Perimeter of PQR = PQ + QR + RP

Perimeter of PQR = 18 + 9.48 + 9.48

Perimeter of PQR = 36.96

Perimeter of PQR = 37 units (Approx.)

8 0
3 years ago
PLEASE HELP ME!! THANKS!! BRAINLIEST IF CORRECT!
Murrr4er [49]

When the calcium atom loses electrons, it's charge increases by the number of electrons lost.

It loses 2 electrons, so it's charge increases by 2.

The answer is +2

4 0
3 years ago
Read 2 more answers
A basketball hoop is 30% off the sticker price of $125.30. How much is the discount?
EleoNora [17]
37.59
Just multiple .3 x 125.30
6 0
3 years ago
The measure of an angle is two times the measure of it complementary angle. What is the measure of each angle
Len [333]
One of them is 30 degrees and the other is 60 degrees
6 0
2 years ago
Why can i keep giving brainlyest? they should make it like every day you can give 1
defon
That’s true!!!! They totally should do that!
6 0
3 years ago
Other questions:
  • keyla has one pizza. She wants to share her pizza with her 5 friends (and herself). How much pizza will each person receive.?
    13·2 answers
  • 1. Which equation results in this table of values?
    10·1 answer
  • Which number line represents the solutions to |x – 2| = 6? A number line from negative 10 to 10 in increments of 1. Two points,
    14·3 answers
  • What would the adverage be of 12 and 13 if thats possible to find one?
    10·1 answer
  • 10 gallons to 24 gallons what’s the percent change
    6·1 answer
  • Find the value of x for which m || n
    12·2 answers
  • 2x2 + 3x = 2. what is x
    11·2 answers
  • Solve for x<br> -5x+1=31
    10·2 answers
  • Using Euler's formula, how many
    11·2 answers
  • the length of each side of a a square increase by 2.5 inches to form a new sqaure with a perimeter of 70 inches.the length of ea
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!