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
ra1l [238]
3 years ago
11

A population of bacteria is growing according to the equation P ( t ) = 1050e^0.16t .

Mathematics
1 answer:
horsena [70]3 years ago
4 0

Answer:

t must be greater than 5.0

Step-by-step explanation:

P ( t ) = 1050e^0.16t

We want P(t) > 2337

2337 <  1050e^0.16t

Divide each side by 1050

2337/1050<  1050/1050 e^0.16t

Take the natural log of each side

ln (2337/1050)) < ln(e^0.16t )

ln (2337/1050) < 0.16t

Divide by .16

ln (2337/1050)/.16 < 0.16/.16t

ln (2337/1050)/.16 < t

5.00049<t

You might be interested in
Frank bought a pair of gloves for $9.95 and a hat for $5.25. What is the best estimate of much he spent?
viktelen [127]

Answer:

$ 15.00

Step-by-step explanation:

9.95  is JUST about 10

5.25 is close to 5

                      10 + 5 = 15

7 0
2 years ago
Each student in a classroom has chosen either a green, red, or blue marble and written their initials on it. In addition, some o
scoundrel [369]
A. 2/5 B. 1/3 just like the other person said lol
7 0
2 years ago
A charity is holding a raffle to raise money. There is one car worth $30,000 and five $100 gift cards being raffled off. Each ti
lesya [120]
30.000+100-5000*20=x(sum of profits)
8 0
3 years ago
Read 2 more answers
4x+8=22-6 solve for x
Digiron [165]
=> 4x = 16 - 8
=>4x= 8
=> x= 2

in short the answer is 2
6 0
3 years ago
Galileo wanted to release a wooden ball and an iron ball from a height of 100 meters and measure the duration of their fall. He
kotegsom [21]

<u><em>Answer:</em></u>

He would need to climb 480.97 m

<u><em>Explanation:</em></u>

The ground, the plane to climb and the altitude (100 m) all form a right-angled triangle

Therefore, we can apply the special trig functions.

<u>These functions are as follows:</u>

sin(θ) = \frac{opposite}{hypotenuse}

cos(θ) = \frac{adjacent}{hypotenuse}

tan(θ) = \frac{opposite}{adjacent}

<u>From the diagram, we have:</u>

θ = 12°

The distance that he needs to climb is the hypotenuse

The altitude = 100 m is the opposite

<u>Therefore, we can use the sin function as follows:</u>

sin(12°) = \frac{100}{hypotenuse}

hypotenuse = \frac{100}{sin(12)}

hypotenuse = 480.97 meters to the nearest hundredth

Therefore, he would need to climb 480.97 meters

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify.<br> 1.8y + 9.3y + 6.3y
    13·2 answers
  • Find the perimeter of a regular octagon if one side has a measure of 8 cm. A. 72 cm. B. 64 cm. C. 56 cm. D. 16 cm. Mark for revi
    6·1 answer
  • after filling her gas tank, katie drove 159.75 miles. after the ride. she filled her tank again with 7.1 gallons of gas. on aver
    12·1 answer
  • 3/4 m + 2/3 m + 5/9 m
    13·2 answers
  • Is (3,9) a solution of the system
    10·1 answer
  • john needed 13.71 feet of wire to fix a lamp he bought 14 half feet of wire how much did he have left ver​
    12·2 answers
  • The Intelligence Quotient (IQ) test scores for adults are normally distributed with a population mean of 100 and a population st
    11·1 answer
  • An airplane travels at a speed of 960 km/h how for can it travel in 1 hour
    15·1 answer
  • Which choices are equivalent to the expression below check all that apply √-25 <br><br> please help.
    14·2 answers
  • Emma wants to strain a circular deck that has a diameter of 12 m the cost of the wood stain is $3.25 per square meter how much
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!