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
sertanlavr [38]
3 years ago
10

Give an example of a function g(x) such that has vertical asymptotes at x = −1 and x = 2.

Mathematics
1 answer:
BigorU [14]3 years ago
6 0

Answer:

\frac{69420}{(x+1)(x-2)}

Step-by-step explanation:

An asymptote of a vertical line is one that the graph can't exactly reach, but can get as close as you want it to be (as long as the distance is not 0), while the x- or y-coordinates tend to plus/minus infinity. An example of where this happens is when filling in the x-value would result in a zero in the denominator, hence the answer.

You might be interested in
Write the expression as a single natural logarithm.3In3+3Inc
k0ka [10]

Answer:

ln(27c^3)

Step-by-step explanation:

Given: 3ln(3)+3ln(c)

If there is a coefficient in front of a log or ln, that means it becomes an exponent.

ln(3^3)+ln(c^3)

Simplify the exponent.

ln(27)+ln(c^3)

When there is addition between two logarithms or natural logarithms, it means they multiply together.

ln(27c^3)

3 0
3 years ago
Read 2 more answers
Which of the following is NOT a measure ofâ center? Choose the correct answer below.
irina [24]

Answer:

Option B) census

Step-by-step explanation:

We have to find the measure of center.

The measure of center is also known as the measure of central tendency.

The measure of central tendency for a data is given by

  1. Mean
  2. Median
  3. Mode

It help us to identify the central position of data in different ways.

Thus, out of the given option census is not a measure of center.

Option B) census

4 0
3 years ago
The Department of Agriculture is monitoring the spread of mice by placing 100 mice at the start of the project. The population,
uranmaximum [27]

Answer:

Step-by-step explanation:

Assuming that the differential equation is

\frac{dP}{dt} = 0.04P\left(1-\frac{P}{500}\right).

We need to solve it and obtain an expression for P(t) in order to complete the exercise.

First of all, this is an example of the logistic equation, which has the general form

\frac{dP}{dt} = kP\left(1-\frac{P}{K}\right).

In order to make the calculation easier we are going to solve the general equation, and later substitute the values of the constants, notice that k=0.04 and K=500 and the initial condition P(0)=100.

Notice that this equation is separable, then

\frac{dP}{P(1-P/K)} = kdt.

Now, intagrating in both sides of the equation

\int\frac{dP}{P(1-P/K)} = \int kdt = kt +C.

In order to calculate the integral in the left hand side we make a partial fraction decomposition:

\frac{1}{P(1-P/K)} = \frac{1}{P} - \frac{1}{K-P}.

So,

\int\frac{dP}{P(1-P/K)} = \ln|P| - \ln|K-P| = \ln\left| \frac{P}{K-P} \right| = -\ln\left| \frac{K-P}{P} \right|.

We have obtained that:

-\ln\left| \frac{K-P}{P}\right| = kt +C

which is equivalent to

\ln\left| \frac{K-P}{P}\right|= -kt -C

Taking exponentials in both hands:

\left| \frac{K-P}{P}\right| = e^{-kt -C}

Hence,

\frac{K-P(t)}{P(t)} = Ae^{-kt}.

The next step is to substitute the given values in the statement of the problem:

\frac{500-P(t)}{P(t)} = Ae^{-0.04t}.

We calculate the value of A using the initial condition P(0)=100, substituting t=0:

\frac{500-100}{100} = A} and A=4.

So,

\frac{500-P(t)}{P(t)} = 4e^{-0.04t}.

Finally, as we want the value of t such that P(t)=200, we substitute this last value into the above equation. Thus,

\frac{500-200}{200} = 4e^{-0.04t}.

This is equivalent to \frac{3}{8} = e^{-0.04t}. Taking logarithms we get \ln\frac{3}{8} = -0.04t. Then,

t = \frac{\ln\frac{3}{8}}{-0.04} \approx 24.520731325.

So, the population of rats will be 200 after 25 months.

6 0
3 years ago
Hello there I need help.
andriy [413]

Answer:

A. 40

Step-by-step explanation:

Q1 - 40

Q2 - 65

Q3 - 80

And 90 is max

So 40 is the correct answer.

5 0
2 years ago
Find the surface area of a water tower that is 40 feet tall and has a diameter of 20 feet.
Ganezh [65]

Answer:

The surface area is 3140 feet².

What is Surface Area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

Given that:

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Now, Surface area  will be,

=2πr²+ 2πrh

= 2 × 3.14 × (10)² + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 feet²

hence, the surface area is 3140 feet².

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • A six-sided number cube is rolled twice.
    6·1 answer
  • Issac fills up his 20-gallon gas tank with fuel that costs $3.54 per gallon. The expression 3.54g represents the cost for a numb
    15·2 answers
  • NEED HELP ASAP <br> given m||n find the value of x
    12·1 answer
  • A system of linear equations for the variables x and y is shown.
    7·1 answer
  • Can someone pls help
    11·2 answers
  • The original price, p, of a single scoop of ice cream has increased by 7%. The new price can be represented as 1.07p. Which expr
    8·1 answer
  • 3-(1/3) to the 4th power
    6·1 answer
  • Which problem situation could the equation below represent? 164/x = 8 (x ≠0)
    12·2 answers
  • Pleaseeeeeeeee<br> help me
    14·1 answer
  • Graph the following inequality. y ≤ 3x +5 Use the graphing tool to graph the inequality Click to enlarge graph​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!