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
Brums [2.3K]
3 years ago
8

The biomass B(t) of a fishery is the total mass of the members of the fish population at time t. It is the product of the number

of individuals N(t) in the population and the average mass M(t) of a fish at time t. In the case of guppies, breeding occurs continually. Suppose that at time t = 4 weeks the population is 829 guppies and is growing at a rate of 50 guppies per week, while the average mass is 1.2 g and is increasing at a rate of 0.14 g/week.
At what rate is the biomass increasing when t = 4? (Round your answer to one decimal place.)
Mathematics
1 answer:
LenKa [72]3 years ago
4 0

Answer:

174.8 guppies.g/week

Step-by-step explanation:

B(t) = N(t)M(t)

Utilizing the product rule of derivative

\frac{d(AH)}{dt} = A\frac{dH}{dt} + H\frac{dA}{dt}

Applying the rule to B(t) = N(t)M(t)

\frac{d(B(t))}{dt}   = N(t)\frac{d(M(t))}{dt} + M(t)\frac{d(N(t))}{dt}

from the question

t=4 weeks, N(4) = 820 guppies

d(N(4))/dt = 50 guppies/week

m(4) = 1.2g

d(M(4))/dt = 0.14g/week

\frac{d(B(t))}{dt}   = N(t)\frac{d(M(t))}{dt} + M(t)\frac{d(N(t))}{dt}\\\\= 820(0.14) +  50 (1.2) =  174.8 guppies.g/week

You might be interested in
If you travel 40 miles at 45 miles per hour, how many minutes will that take you?
GenaCL600 [577]
Ok so im not good with words and math, but i am going to try my best to explain it. first you will take 45/60 which is the 45 miles per hour. next you will put it equal to 40/x. x is how many minutes. they are set equal to each other because they are the same ratio. (i honestly dont know why you cross multiply, but you just do). you then multiply 40*60 and 45*x. this gives you 2400=45x. you then divide both sides by 45 and get 53 1/3 minutes. or 53 minutes and 20 seconds

7 0
3 years ago
Find the slope of the line that passes through the points (2,4) and (6,+2)​
lesya [120]
Slope is -1/2
2-4/6-2=
-1/2
m=-1/2
8 0
3 years ago
When pointing A(-6. - 12) is reflected over the y-axis to get point B, what are the
Fudgin [204]

Answer:

A

Step-by-step explanation:

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (- 6, - 12 ) → B (6, - 12 )

4 0
2 years ago
A cylinder has a circular base with a radius that measures 9 inches. Determine the diameter of the base of the cylinder. 3 inche
yarga [219]
It is 18 because the radius is half the diameter and 9 x 2 = 18.
4 0
3 years ago
Read 2 more answers
Which property is used in the following? 2(8+9)= 2*8+2*9
defon

Answer:

A) None of the above

Step-by-step explanation

it's distributive property

8 0
2 years ago
Other questions:
  • Example of <br> Adjacent angles
    5·1 answer
  • How do i read a curve graph need help !!!
    12·1 answer
  • Trina examined the equation below and said that the equation has exactly one solution. Negative 8 (x minus 4) + 2 x = negative 4
    8·2 answers
  • The ratio of girls to boys in a class is 5 to 4 if there are 20 boys then how many total students are in class
    15·1 answer
  • What is the slope of the graph?​
    12·2 answers
  • the dual bar chart below shows how a group of 190 students travel to school. given that 50 students, said they travel to school
    9·1 answer
  • Help me plz show work
    9·1 answer
  • In the Kite Club, there are a total of 23 kids. There are 7 more girls than boys. Write two equations below to represent the sit
    15·2 answers
  • Boyle's Law says that the volume of a gas varies inversely with the pressure. When the volume of a certain gas is 4 L, the press
    8·1 answer
  • What is SAS SSS and SAS?.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!