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3 years ago

Parallel lines m and n are cut by a transversal t. Which two angles are NOT corresponding angles?

Mathematics

2 answers:

adoni [48]3 years ago

7 0

Answer:

step by step explanation

1 and 6

Leviafan [203]3 years ago

4 0

Answer:

Hey there!

Corresponding angles are in the same position, so 1 and 6 are not corresponding angles.

Let me know if this helps :)

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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

What is the value of z in the equation 4(2z + 3) = 12? −13 12 0 12

Tomtit [17]

Answer:

Step-by-step explanation:

8z +12 = 12

8z = 0

z =0

4 0

1 year ago

Use the diagram to fill in the blanks x= m∠=

faust18 [17]

Answer:

x = 21, m∠A = 23°, the measure of angle in the right = 67°

Step-by-step explanation:

The angles of a triangle sum up to 180°.

Right angles equals to 90°.

Thus, (2x - 19)° + (3x + 4)° + 90° = 180°

=> 5x + 75 = 180

=> 5x = 105

=> x = 21

m∠A=> 2(21) -19 = 23°

the measure of angle in the right=> 3(21) + 4 = 67°

8 0

2 years ago

The profit, in thousands of dollars, from the DVD sales of a TV show over x months is given by the function f(x) = 12x.

skad [1K]

All you need to do is find (f+g)x = (12x) + (10(1.2)X) which = 24x
then in the multiple choice, see which one equals 24x, in this case its C.
5*1.2=6, 6x+6x = 12x*2 = 24x

4 0

3 years ago

Read 2 more answers

What is the ratio of 8 nickles to 5 dollars

pickupchik [31]

It would be 8:5.
Ratios are very simple. There're basically just writing one number per the other number, exept instead of writing per, you write : or /.

5 0

3 years ago

Parallel lines m and n are cut by a transversal t. Which two angles are NOT corresponding angles?​

Parallel lines m and n are cut by a transversal t. Which two angles are NOT corresponding angles?