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3 years ago

(REPOST)

Mathematics

2 answers:

Dimas [21]3 years ago

8 0

Answer:

So its is pretty straight forward (answer at the bottom)

First of all 2 sides of a parrleogram are the dame and the other 2 are different from the first but the opposites are the same

So lets start with The distance from home to bank

x+9 is the distance since its the opposite

Now the other side is 2x+1

The third side is x+9

the fourth side is x+5, it is different from 2x+1 but its just written differently.

Now add them all up

2x+1+x+9+x+5+x+9=

5x+24

So the amount fo meters are 5x+24

nirvana33 [79]3 years ago

7 0

Answer:

44m

Step-by-step explanation:

X=4

X+5=?...4+5=9

2X+1=...8+1=9

X+9=?...4+9=13

13+13+9+9=44m

Hope this helps as it is my first ever answer :)

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I need to know<br> give 20 points to who answers this right.

NISA [10]

Step-by-step explanation:

I believe it's 16 1/2. I just used MathPapa lol.

5 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

Whats 1/5 - 1/7 please can you tell me how to work it out<br> thanks

Andrej [43]

Convert the fractions so they both have the same denominator (bottom part of the fraction)

1/5 = 7/35

This is because 5*7=35, so 1*7=7

1/7 = 5/35

This is because 7*5=35, so 1*5 =5

Then subtract the top numbers to get the answer:

$\frac{7}{35}-\frac{5}{35} = \frac{2}{35}$

3 0

4 years ago

Read 2 more answers

If x = 8 units and h = 4 units, then what is the area of the triangle shown above?

Luden [163]

Answer:

D-16 square units

Step-by-step explanation:

Area of a triangle- 1/2 x h x base

8 x4= 32

32/2= 16

5 0