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 number 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

Answers

Answer 1

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.


Related Questions

What is the slope of this line?

Answers

Answer:

The slope is -1

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

nice phone case

Can you please help me

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i believe it’s 0.5 :)

Answer:

0.5

Step-by-step explanation:

The slope of the line is 1/2, so the answer is 0.5

Please help me Find X:

Answers

Answer:

x=50

Step-by-step explanation:

since all the angles of a triangle when added equal 180 we are going to have an equation like this:

180=102+28+x

180=130+x

so to find the value of x we have to subtract the final number by the value already given to us so something like:

180-130

which equals 50

Which equation below represents a proportional relationship?



a. y = 5x – 9

b. y = 2x + 7

c. y = 8x

d. y = 3x – 2

Answers

Answer:

c.

Step-by-step explanation:

when an equation doesn't have a y-intercept. That means it is proportional.

1) f(x) = 5x^4+ 49x^2+ 36

Answers

Answer:

That's the simplest I could do, sorry

According to the synthetic division below, which of the following statements
are true?
Check all that apply.

Answers

The question is not complete, so i have attached it.

Answer:

Options A, B & E are correct

Step-by-step explanation:

In the synthetic division attached, we see that:

: 2 , -2 & -12 are the coefficient of the dividend of the function 2x² - 2x - 12

: The divisor is 3

Thus;

x = 3 is a root of f(x) = 2x² - 2x - 12

Thus, (x - 3) is a factor of the dividend which is the function f(x) = 2x² - 2x - 12

- Now, from the attached image, the coefficients of the quotient are 2 , 4

- The quotient will be 1 degree less than the dividend since it was divided by the factor (x - 3)

The degree of the dividend will be 2 since it contains x²

Thus, the degree of the quotient will be 1

Therefore, the quotient in factor form is (2x + 4)

Looking at the given statements in the options;

- Option A is true, because we have established earlier that 3 is a root of f(x) = 2x² - 2x - 12

- Option B is true because we have established that (x - 3) is a factor of 2x² - 2x - 12

- Option C is not true because the factor is (x + 3) and not (x - 3)

-Option D is not true because the root is 3 and not -3

- Option E is true because we have established that quotient as a factor is: (2x + 4)

Thus, the correct options are A , B , E

What is the image of (−3,9) after a reflection over the line y = x?

Answers

Answer:(9,-3)

Step-by-step explanation:

You just have to flip the numbers

Oy I hate this subject I swear just a few more but still giving out brainliest and points!

Answers

Answer:

C

Step-by-step explanation:

your y values which produce the range differ between 2 and 10 which means that will be your range. All of the values are real.

I need number 10 if you can get 11 then could you help me with that too?


If it is correct I will give a Branliest!!!

Answers

Answer:

10. 3 musicians

11. a) 10 feet

   b) can't read all of it

Step-by-step explanation:

Answer:

#10 should be 3

Step-by-step explanation:

PLEASEEE PLEASE HELPPP!!

Which property is illustrated by the equation
3x – 6y = 3(x - 2y)?
1. associative
2.Commutative
3.distributive
4.closure

Answers

Answer:  3. Distributive

Step-by-step explanation:

 

3(x -2y) = 3x - 6y   To get from  left to rigth, you have to multiply them which is the same as distribitue.

3(x) - 3(2y) = 3x - 6y

The table shows the height of water in a pool as it is being filled. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? Height of Water in a Pool Time (min) 2 4 6 8 10 Height (in.) 8. R12 16 20 24 O The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. O The height of the water will be 2 inches when the pool is filled.​

Answers

Answer:

Step-by-step explanation:

Answer:

A) The height of the water increases 2 inches per minute.

Step-by-step explanation:

Slope is the rate of change of height

m = (16 - 12)/(4 - 2) = 4/2 = 2

2 inch per min

Positive slope implies increase

Amanda is hiking with her daughter, Mia who is only 1 yaar old and has very short leg. For every 3 steps Amanda makes, Mia takes 5 steps just to keep up.

Need help fast trying to take a test plsss help

Answers

Amanda table values: 3, 6, 15, 30
Mia Table values: 5, 10, 25, 50

PLS HELP IM FAILING MY MATH CLASS

Answers

B

Look at the pattern, they all go up by 0.5
For example, 0.5+0.5=1.0, and so fourth

Have a great day!

Use the graph below to fill in the blank with the correct number:
f(-2) =
(3 points)
5 4 $
.
2
-5 4 3 2 1
2 3 4 5
-2
.
-3
5
Blank 1:

Answers

Answer:

f(-2) = 2

f(-3) = 0

f(1) = -2

f(0) = 1

Check your answers by clicking all of the items
you included in your explanation.
A.A large portion of an organism's mass is in
the form of water.
B.Water contains two hydrogen atoms and one
oxygen atom.
C.The mass of oxygen is sixteen times that of
hydrogen.

Answers

Answer:

A and C

Step-by-step explanation:

Determine triangle type

Answers

Answer:

isosceles acute

Step-by-step explanation:

two same sides so it is isosceles and all angles under 90 so acute

Answer:

isosceles acute

3 (1 - x)=2 (-4x + 7)
Solve for X.

Answers

Answer:

x = 11/5

Step-by-step explanation:

3-3x = -8x +14

5x = 11

x= 11/5

Use distributive property
3-3x = -8x + 14
Add 8x to both sides
3+ 5x = 14
Subtract 3 from both sides
5x = 11
X = 11/5

A student factors a^6 - 64 to (a^2-4)(a^4 + 4a^2+ 16).
Which statement about (a^2 - 4)(a^4 + 4a^2 + 16) is correct?

Answers

Answer:

Option (b) is correct.

The expression is equivalent, but the term is not completely factored.

Step-by-step explanation:

edge 2020

Someone please help me, please

Answers

110 degrees, for triangles all sides should add up to 180 degrees, no matter what type of triangle it is, hope this helps!

What is the y-intercept for -1,3 1,-2

Answers

I’m pretty sure it’s 1

What is the value of x in the equation 5(3x + 4) = 23?

start fraction 43 over 15 end fraction
start fraction three over 15 end fraction
start fraction 15 over 43 end fraction
start fraction two over five end fraction

Answers

Answer:

5(3x+4)=23

5*3=15 5*4=20

15x+20=23

      -20=-20

15x=3

divide by 15 from both sides

x=0.2

Step-by-step explanation:

Answer:

5(3x+4)=23

5*3=15 5*4=20

15x+20=23

     -20=-20

15x=3

divide by 15 from both sides

x=0.2

Explanation: In a fraction, the number of equal parts being described is the numerator (from Latin: numerātor, "counter" or "numberer"), and the type or variety of the parts is the denominator (from Latin: dēnōminātor, "thing that names or designates"). As an example, the fraction 8/5

amounts to eight parts, each of which is of the type named "fifth". In terms of division, the numerator corresponds to the dividend, and the denominator corresponds to the divisor.

Informally, the numerator and denominator may be distinguished by placement alone, but in formal contexts they are usually separated by a fraction bar. The fraction bar may be horizontal (as in 1/3), oblique (as in 2/5), or diagonal (as in 4⁄9). These marks are respectively known as the horizontal bar; the virgule, slash (US), or stroke (UK); and the fraction bar, solidus, or fraction slash. In typography, fractions stacked vertically are also known as "en" or "nut fractions", and diagonal ones as "em" or "mutton fractions", based on whether a fraction with a single-digit numerator and denominator occupies the proportion of a narrow en square, or a wider em square. In traditional typefounding, a piece of type bearing a complete fraction (e.g. 1/2) was known as a "case fraction", while those representing only part of fraction were called "piece fractions".

Can you solve 3.5 x 4.9 using area models?

Answers

Answer:

 the answer is  17.15

Step-by-step explanation:

Answer:

17.15

Step-by-step explanation:

3.5 x 4.9 = 17.15

-TheUnknownScientist

Help? How do I do this.

Answers

z:60 y:36 x:48. I just look at the lengths and assign the values to the logical placement due to size.

how do you do multiplication in 7th grade mathimatics

Answers

Answer:

Learn your timetables daily.

Step-by-step explanation:

You can find songs online to help you memorize and understand them in the simplest form.

Answer:

you should practice your timetables and do some math practice so you could understand other math like division.

Step-by-step explanation:

What is HB? Triangle Mid-segment Theorem

Answers

Answer:

HB = 13

Step-by-step explanation:

In triangle GHJ, points A, B, C are mid points of the sides GH, HJ, GJ respectively.

Therefore by Mid-segment Theorem.

[tex]AC = \frac{1}{2} HJ \\ \\ 3y - 5 = \frac{1}{2} (4y + 2) \\ \\ 3y - 5 = \frac{1}{2} \times 2 (2y + 1) \\ \\ 3y - 5 = 2y + 1\\ \\ 3y - 2y = 5 + 1 \\ \\ y = 6 \\ \\ HJ = 4y + 2 \\ \\ HJ = 4 \times 6 + 2 \\ \\ HJ = 24 + 2 \\ \\ HJ = 26 \\ \\ HB= \frac{1}{2} HJ \\ \\ HB= \frac{1}{2} \times 26 \\ \\ \huge \red{ \boxed{ HB= 13}}[/tex]

PLEASE HELP IM GIVING BRAINLIEST!

Answers

Answer:

-1/7

Step-by-step explanation:

Mark me as brainliest

Answer:

m = 1/7

Step-by-step explanation:

(0 - 1)/(-7 - 0)

-1/-7 = 1/7

Solve for n.

n - 26 = -13
n =

Answers

Answer:

n= 13

Step-by-step explanation:

.................

Answer:

n=13

Step-by-step explanation:

because 26 is a negative you know that n has to be a positive so you subtract 13 from 26 and that's your answer

[tex]\frac{6\sqrt{3} }{7\sqrt{8} }[/tex]

Answers

4.1991 I just put it in a calculator

5b-b-1 > or equal too-11

Answers

Answer:

-2.5

Step-by-step explanation:

5b - b - 1 ≥ -11

4b - 1 ≥ -11

     +1    +1

4b ≥ -10

4/4     -10/4

b ≥ -2.5

Answer:

 b ≥ [tex]-\frac{5}{2}[/tex]

Step-by-step explanation:

The expression:

      5b  - b  - 1 ≥ -11

Now to solve this problem, we must be aware of some rules of inequality.

When dividing or multiplying with a negative value, the sign of the inequality must change;

         5b  - b  - 1 ≥ -11

             4b  - 1 ≥ -11

  Add + 1 to both sides;

            4b -1 + 1 ≥ -11 + 1

            4b ≥ -10

Now divided both sides by 4;

            [tex]\frac{4b}{4}[/tex] ≥ [tex]\frac{-10}{4}[/tex]  

           b ≥ [tex]-\frac{5}{2}[/tex]

9 ft=_____ in Do y'all know the answer to this plz help me out plz and thanks

Answers

Answer:

108

Step-by-step explanation:

As 1 foot = 12 inches, 9 foot = 12*9 = 108.

Hope this helps! :)

Answer:

The answer is 108. 1 foot equals 12 inches. So, you just need to multiply 9 by 12. 9 x 12 = 108.

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