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
UNO [17]
3 years ago
6

A population of bacteria is introduced into a culture. the number of bacteria P can be modeled by P=500(1+4t/(50+t^2 )) where t

is time in hours. Find the rate of change in population when t=2 ...?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0
P(t)=500(1+4t/(50+t^2 ))

P'(t) = 500 [(50+t^2).4 - 4t.2t]/(50+t^2)^2

  by the quotient rule

 500 (-4t^2 + 200)/(t^2 + 50)^2

Hence

 P'(2) = 500 . (-16 + 200)/54^2 ~= 31.6
You might be interested in
Write a formula for f(x)=e^x of you apply the following transformations right 1 unit left 10 units vertical compression by a fac
Anna11 [10]

Answer:

64

Step-by-step explanation:

answer

3 0
3 years ago
Estimate a 15% tip on a dinner bill of $81.66 by first rounding the bill amount to the nearest ten dollars.​
julia-pushkina [17]

Answer:

12 dollars

Step-by-step explanation:

Round the bill to the nearest ten dollars

81.66 rounds to 80 dollars

80 * 15%

80 *.15

12

The tip is 12 dollars

3 0
3 years ago
Read 2 more answers
a store light flashes every 60 minutes while another light flashes open every 24 minutesif both stores begin flashing at 10 am w
anastassius [24]

Answer:

Both lights flash at 1:00

Step-by-step explanation:

they flash together every 2*7=14 minutes

in 60 minutes there are 4*14=56 minutes

they flash together at 1:56

more minutes brings you to 2:00

they flash together at 2:10 (4+10=14)

that leaves 50 minutes left in the hour

they flash three times which uses up 42 minutes

this brings you to 2:52 (10+42=52)

8 more minutes brings you to 3:00

in 6 more minutes (8+6=14) it will be 3:06 and they will flash together

5 0
3 years ago
Which shows the graph of the solution set of 2x+3y≤6?
mel-nik [20]

Answer:

Option (a) is correct.

Step-by-step explanation:

 Given : equation  2x + 3y ≤ 6

We have to choose out of given option the graph that shows the graph of the solution set of 2x + 3y ≤ 6

Consider the given equation   2x + 3y ≤ 6

We first find the points where the equation cut x- axis and y-axis.

Thus,

For x - axis  put y = 0 ,

We get   2x + 3(0) ≤ 6 ⇒  2x  ≤ 6 ⇒ x ≤ 3

Thus, point (3,0)

For y - axis  put x = 0 ,

We get   2(0) + 3y ≤ 6 ⇒  3y  ≤ 6 ⇒ y ≤ 2

Thus, point (0,2)

For region we  choose a test point and find the value of x and y on that test point and  check whether it satisfy the inequality satisfies or not.

Consider the point (0, 0) , then inequality becomes,

2(0) + 3(0) ≤ 6  ⇒  0  ≤ 6 (true)

Hence, region below the line will be considered.

Thus, Option (a) is correct.

6 0
3 years ago
Read 2 more answers
The ideal selling price of a Honda CRV is $28,000. Wake Forest Auto Park allows this price to vary 7%. What is the lowest price
zmey [24]

Answer:

(28000/100)*93 = $26,040

Step-by-step explanation:

Divide 28000 by 100 and multiply by 93 (100-7) = 26040

3 0
3 years ago
Other questions:
  • 4<br>_ compared to 0.45 <br>9
    13·1 answer
  • What is 0.6 equal to as a fraction
    15·2 answers
  • Circle B has a radius of 7.2in. Find the diameter of circle B dilated by a factor of 8.1
    12·1 answer
  • Aleka and Helene both opened savings accounts that earn 2.5% interest a year. Aleka puts $2,500 into her account. Helene put $1,
    7·1 answer
  • Find the value of x by filling the blanks in the provided statement-reason solutions. a Statement Reason 1. m∠A +m∠B +m∠C = ____
    12·1 answer
  • I need answers plz help me
    15·1 answer
  • 100 points to Answer Please
    14·2 answers
  • Alice purchased a cell phone for 30% ff the original price. The sales price was $84 . What was the original price of the cell
    9·1 answer
  • Erika starts with $245 in her checking account. After 5 weeks of adding the same amount each week, she has $570.
    7·2 answers
  • Does anyone know this because clearly i dont
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!