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
FinnZ [79.3K]
3 years ago
5

5.A rectangle has a length of 20 centimeters and a width of 4 centimeters. What is the area of the rectangle?

Mathematics
2 answers:
yawa3891 [41]3 years ago
7 0
A = LW
A = 20 * 4
A = 80 cm^2
OleMash [197]3 years ago
6 0
A = l * w
A = 20 * 4
A = 80 cm^2
Letter D
You might be interested in
What are the characteristics of the function f(x)=2(x-4)^5? Check all that apply
GaryK [48]

Answer:

Option B , C , E are characteristics of the function .

Step-by-step explanation:

Given : function f(x)=2(x-4)^5.

To find : What are the characteristics of the function .

Solution : We have given that f(x)=2(x-4)^{5}.

By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.

Since , Option E is correct.

It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.

Option C is also correct.

By transformation rule it is vertical stretch and shift to right (B )

Therefore, Option B , C , E are characteristics of the function .

3 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
Graph the line using a point and a slope. Write the equation of each line. A line that passes through the point (0, –3) and para
kiruha [24]
Y + 3 = 1.2(x - 0)

y + 3 = 1.2x - 0

y = 1.2x - 3
5 0
3 years ago
What is the common ratio for the sequence 28,14,7,3.5 ?
wolverine [178]

Answer:

Its 2

Step-by-step explanation:

7 0
3 years ago
Pencils that were selling at three for 25 cents are now on sale at five for 29 cents. How much money, in cents, would you save b
natita [175]

Answer:

We would save $1.52 cents

Step-by-step explanation:

3 the pencil were at sale for 25 cent

1 pencil = 25 cent/3 =8.33 cent per one pencil

5 the pencil were at sale for 29 cent

1 pencil = 29 cent/5 =5.8 cent per one pencil

If we bought 60 pencil in group of 3 for 25 cent

=60/3= 20 pencil

25cents * 20 pencil = 500 cent per 60 pencil

If we bought 60 pencil in group of 5 for 29 cent

=60/5= 12 pencil

29cents * 12 pencil = 348 cent per 60 pencil

From the analysis, the 5 pencil for 29 cent is cheaper are we are going to save: 500-348= 152 cents

7 0
3 years ago
Other questions:
  • A circle has an area of 153.86 units2 and a circumference of 43.96 units. If the radius is 7 units, what can be said about the r
    11·1 answer
  • What is the "middle value" between 10 and 11​
    15·1 answer
  • 1) Which of the following represents a unit rate? *
    13·2 answers
  • Determine the quadrant when the terminal side of the angle lies according to the following conditions: cos (t) < 0, csc (t) &
    5·1 answer
  • I need help please help me
    10·1 answer
  • What is the distance between (-5,8) and (-5.-8)
    12·1 answer
  • Evaluate. 5! - 4! = [1] <br><br> May any math experts please help thank you
    5·1 answer
  • Calculate the equivalent resistance Req of the network shown in Fig. 3.87 if R1 = 2R2 = 3R3 = 4R4 etc. and R11 = 3
    12·1 answer
  • Find the value of :[5x+y+z][5x+y+z][5x+y+z]
    12·1 answer
  • Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax wi
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!