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
boyakko [2]
2 years ago
11

What is The Value of X

Mathematics
1 answer:
Alekssandra [29.7K]2 years ago
4 0

\bold{ANSWER:}
x = 11

\bold{SOLUTION:}

You might be interested in
During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time
Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

\frac{dP}{dt} = Pr

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

\frac{dP}{P} = r dt

\int \frac{dP}{P} = \int r dt

\ln{P} = rt + K

Applying the exponential to both sides:

P(t) = Ke^{rt}

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

P(t) = 300e^{rt}

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

P(t) = 300e^{rt}

1000 = 300e^{24r}

e^{24r} = \frac{1000}{300}

e^{24r} = \frac{10}{3}

\ln{e^{24r}} = \ln{\frac{10}{3}}

24r = \ln{\frac{10}{3}}

r = \frac{\ln{\frac{10}{3}}}{24}

r = 0.05

So

P(t) = 300e^{0.05t}

At what time t is the population 500?

This is t for which P(t) = 500. So

P(t) = 300e^{0.05t}

500 = 300e^{0.05t}

e^{0.05t} = \frac{500}{300}

e^{0.05t} = \frac{5}{3}

\ln{e^{0.05t}} = \ln{\frac{5}{3}}

0.05t = \ln{\frac{5}{3}}

t = \frac{\ln{\frac{5}{3}}}{0.05}

t = 10.22

The population is of 500 after 10.22 hours.

7 0
2 years ago
At a coffee shop, the first 100 customers' orders were as follows. What is the probability that a customer ordered a cold drink
mestny [16]

Answer:

Concept: Probability

  1. You have a dual probability such that they must order a large and then get the probability from there.
  2. So its x/probability of large
  3. If you would have provided the table it would have been clearer
3 0
2 years ago
Read 2 more answers
Michelle is painting wooden blocks. he has 11/12 of a quart of paint each block needs 1/6 of a quart to paint. How many blocks c
lara [203]

Answer:5

Step-by-step explanation:

Since Michelle (he ? ) has 11/12 quarts of paint, and need 1/6 per quart to paint, we do 11/12 / 1/6 = 11/2, or 5.5. We cannot paint .5 of a block, so Michelle can only paint 5 quarts.

7 0
3 years ago
A high school soccer team contains 7 juniors and 17 seniors. What is the ratio of the total number of players on the team to the
vekshin1

2 to three juniors to one senior.


3 0
3 years ago
Which of the numbers below is greater than -4.5? Select all that apply.
viva [34]

Answer:

A, C, and D

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • One number is six times another number. Their difference is 35. What are the two numbers?
    9·2 answers
  • What is 0.12 Times 100
    15·1 answer
  • How to solve system of equations khan academy?
    13·1 answer
  • Increase $200 by 50%. PLEASE HELP ME!
    14·1 answer
  • A principle evenly distributed 6 teams of copy papy to 8 fifth grade teachers
    10·1 answer
  • Which is the formula for slope of a line.
    6·2 answers
  • Ricky, Nathan, and Henry collect comic books. Ricky owns twice as many comic books as Nathan.
    11·1 answer
  • These sneakers are sold in two different stores. The sale price in Modell's is 30% off the regular price of $69.99. How much doe
    7·1 answer
  • the admission fee at a small fair is $1.50 for children and $4.00 for adults. on a certain day, $5,050 is collected. if $1,00 ad
    7·1 answer
  • In the diagram given below, ADEF~ ADGH<br> Find q.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!