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
Pachacha [2.7K]
3 years ago
8

A scientist writes the equation n(h)100e^0.25h to model the growth of a certain bacteria in a petri dish, where N represents the

number of bacteria after h hours. After approximately how many hours will 450 bacteria be present? Round your answer to the nearest whole number.
1 hour
6 hours
13 hours
15 hours
Mathematics
2 answers:
Natasha2012 [34]3 years ago
8 0

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

n(h)=100e^{0.25h}

where, N represents the number of bacteria after 'h' hours.

So, we have given that there are 450 bacteria present.

N = 450

According to question,

450=100e^{0.25h}\\\\\frac{450}{100}=e^{0.25h}\\\\4.5=e^{0.25h}\\\\\text{Taking natural log 'ln' on both sides}\\\\\ln (4.5)=0.25h\\\\1.50=0.25h\\\\h=\frac{1.50}{0.25}\\\\h\approx 6\ hours

Hence, Second option is correct.

LiRa [457]3 years ago
7 0

6 hours is the amount of time

You might be interested in
Jason is making a fruit salad. He mixes in 3 1/4 cups of orange melon and 2 2/3 cups of green melon. How many cups of melon does
Strike441 [17]

Answer:

5 11/12 cups of melon

Step-by-step explanation:

The cups of melon he puts in the fruit salad is:

Number of cups of orange melon + Number of cups of green melon

= 3 1/4 cups + 2 2/3 cups

3 + 2 + (1/4 + 2/3)

The Least common denominator is 12

5 + (3 × 1 +4 × 2/12)

5 + (3 +8/12)

5 11/12 cups

Therefore, Jason put in 5 11/12 cups of melon in the fruit salad.

7 0
2 years ago
What is the value of the expression 2.6x10^9 over 1.3x10^2
arsen [322]
2.6/1.3 * (10^9/10^2)
2*10^7
4 0
3 years ago
Read 2 more answers
Please help with the questions in the image
polet [3.4K]

Answer:

  • (a) C(d) = 270 + 0.20d
  • (b) C(1800) = 630
  • (c) see attached (lower right graph). The slope represents the cost (in dollars) per mile.
  • (d) It represents the fixed cost (amount she pays even if she does not drive)
  • (e) the cost increases as the number of miles driven increases

Step-by-step explanation:

(a) You are given two points, (d, C) = (360, 342) and (780, 426). The two-point form of the equation for a line can be helpful.

... y = (y2 -y1)/(x2 -x1)(x -x1) +y1

Using the given points and variables, ...

... C = (426 -342)/(780 -360)(d -360) +342

... C = (84/420)(d -360) +342

... C = 0.20d +270 . . . . the equation for cost as a function of miles driven

(b) Fill in the value for d and do the arithmetic.

... C = 0.20·1800 +270 = 360 +270 = 630

(c) The slope of the curve is (change in dollars)/(change in miles) = $/mile, the cost of each mile driven. (It is $0.20 per mile.)

(d) The C-intercept is C(0) = cost for 0 miles driven. (It is $270.)

(e) Both your own experience and the problem statement tell you that the cost of vehicle operation varies with miles driven. If nothing else, you need to pay more for gas the farther you drive.

(In real life, you don't expect the model to be exactly linear, becasue you get a large jump in cost when you reach certain maintenance interval miles: 15,000, 30,000, and so on.)

7 0
2 years ago
A monthly produce box is delivered to Ms. Jones’ door. There is an initial set up fee of $25.00 dollars plus $30.00 dollars each
Lyrx [107]

Answer

Answer would be 8 months if you start with 30 times 8 u will get 240 add the intial fee of $25 and you will have 265 so the answer is 8.

Step-by-step explanation:

Step-by-step explanation:

5 0
2 years ago
It took team rise over run 1 2/3 hours to hike 4 2/3 miles. What is their average speed in miles per hour?
pogonyaev

To find their average miles per hour we can divide the total miles by the hour used:

4 2/3 ÷ 1 2/3

=4x3+2/3 ÷ 1x3+2/3

=14/3 ÷ 5/3

In division, when we switch the place of numerator and denominator, we can change it to multiplication which makes the calculation easier as we can factorize the numbers.

=14/3 x 3/5

Factorize 3 in both amounts:

=14/1 x 5/1

=14/5

=2.8 miles/hour

Therefore their average speed is 2.8 miles/hour.

Hope it helps!

8 0
2 years ago
Other questions:
  • When adding 32.6 to a certain number, the sum is 36.14, as seen below. What number should go in the box to complete the addition
    6·2 answers
  • Claire cut some apples into eighths she and her friends ate all but 17 pieces how many whole apples and parts of apples did she
    7·1 answer
  • Giselle has $16.25 in her wallet and needs to get to her uncle���s house 8 miles away. a taxi costs $2.50 for the first mile and
    5·1 answer
  • What the correct answer
    13·1 answer
  • Angle A and angle B are supplementary.The measure of angle B is 15∘ less than the measure of angle A.What is the measure of angl
    5·1 answer
  • A map of the world has a perimeter of 24 feet. It’s area is 32 square feet. What are the dimensions of the map?
    7·1 answer
  • If it is known that x+y/y =3, find the value of the following expression:
    11·1 answer
  • The total money y Aaron earned mowing x lawns is showns by the equation y= 15x+25. What does the slope represent?
    10·2 answers
  • HELP AND YOU WILL GET BRAINLIEST!!!!!!!!
    6·2 answers
  • F(x)=3x−4 Input is x=3 , Output is
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!