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]
2 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]2 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]2 years ago
7 0

6 hours is the amount of time

You might be interested in
A sociologist records the annual household income (in thousands of dollars) among a sample of families living in a high-crime ne
Gnoma [55]

Answer:

The lower quartile is Q_1=33 thousand dollars.

The median quartile is Q_2=39 thousand dollars.

The upper quartile is Q_3=45 thousand dollars.

Step-by-step explanation:

The lower quartile is the median value of the lower half of a data set at the 25th percentile of a distribution.

The median quartile is the median value of a data set at the 50th percentile of a distribution.

The upper quartile is the median value of the upper half of a data set at the 75th percentile of a distribution.

To locate each quartile in a data set, we follow four steps:

Step 1: Put the numbers in order: 23, 25, 33, 34, 39, 39, 44, 45, 48, 55

Step 2: The median is given by \frac{n+1}{2} where n is all scores in the data set.  

Because n = 10, the median position is \frac{10+1}{2}=5.5

The median is the average of the fifth and sixth positioned scores

Q_2=\frac{39+39}{2} =39

Step 3:  Compute \frac{n+1}{2} where n is all scores below Q_2.

For scores below Q_2, use only 23, 25, 33, 34, 39.

Because n = 5, the median position is \frac{5+1}{2}=3

The median is the third positioned score: Q_1=33

Step 4: Compute \frac{n+1}{2} where n is all scores above Q_2.

For scores above Q_2, use only  39, 44, 45, 48, 55

Because n = 5, the median position is \frac{5+1}{2}=3

The median is the third positioned score: Q_3=45

7 0
3 years ago
I NEED HELP ASAP!!!
BlackZzzverrR [31]

Answer:

The number that would go in the blank to get a perfect square trinomial is 18

Step-by-step explanation:

The middle term can always be found by taking twice of the square root of the final term.

2 * √81 = 18

5 0
3 years ago
Whats the quotient for this? ​
iren2701 [21]

Answer:

Step-by-step explanation:

Divide 4378 by 15

From 4378 lets take the first two digits for division:

43/ 15

We know that 43 does not come in table of 15

So we will take 15 *2 = 30

43-30 = 13

The quotient is 3 and the remainder is 13

Now take one more number which is 7 with 13

137/15.

Now 137 does not come in table of 15

15*9 = 135

135-137 = 2

It means quotient is 9 and remainder is 2

Now take one more number which is 8 with 2

28/15

28 does not come in table of 15

15*1 = 15

28-15 = 13/15

Now the quotient is 1 and remainder is 13

Hence, the quotient of 4,378 is 291 and remainder is 13 ....

3 0
3 years ago
Pls help meh
san4es73 [151]

Answer:

7.1 (7.06 rounded to the tenth)

Step-by-step explanation:

The formula for Area of a Circle is: π·r²

R = Radius

π = pi, or 3.14

As long as you know the formula, this is easy!

In class, you may have already been told that the radius is <em>half </em>of the diameter.

1. Half of 3 ft is 1.5 ft.

2. Plug 1.5 in for r, in your calculator

3. Do the calculation, and you should come out to get 7.06858347058

4. Round it!

Finding area for a circle is satisfying, isn't it? xD

5 0
2 years ago
WILL MARK BRAINLYIST
rodikova [14]

Answer:

D = 45 and C = 26

Step-by-step explanation:

The bigger triangle has a 90 degree corner add that to 64 and you will get 164 (all of the triangles angles have to add to 180) from 180 subtract 164 and you get 26 which is C's answer

For D just divide 90 by 2 (90/2)=45

7 0
2 years ago
Other questions:
  • X=y+10 and x=2y+3 <br> solve by substitution <br> needing x and y
    13·2 answers
  • There are 8 girls and 5 boys on the math team. Which ratio correctly describes the relationship between boys and girls on the ma
    10·1 answer
  • How many zero pairs must be added to the function
    10·2 answers
  • Two eighths of a circle is what percentage
    6·2 answers
  • A rectangular prism has a surface area of 286 ft squared. The base is 5ft by 7ft what is the height of the prism?
    7·1 answer
  • Solve the following system of equations
    15·1 answer
  • Simplify this expression. (2+3)(5-7)
    8·2 answers
  • George made a conical hat to match his costume for a party. The hat has a slant height of 14 inches and a base circumference of
    13·1 answer
  • The director of special events for Sun City believed that the amount of money spent on fireworks displays for the Fourth of July
    7·1 answer
  • Use the Distributive Property to rewrite the algebraic expression. 5(2x + 7)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!