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hammer [34]
3 years ago
10

1.

Mathematics
1 answer:
STALIN [3.7K]3 years ago
3 0

Answer: I'm pretty sure it's 25

Step-by-step explanation:

Use Pythagorean theorem to find diagonal.

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I WILL GIVE BRAINLIEST to who answers this question right
nydimaria [60]

Answer:

  41 2/3 feet

Step-by-step explanation:

The sum of wall lengths (in feet) is ...

  (12 1/4) + (10) + (12 1/4) + (10 -2 5/6)

  = (12 + 10 + 12 + 8) + (1/4 + 1/4 - 5/6)

  = 42 + (3/12 + 3/12 -10/12)

  = 42 - 4/12 = 42 - 1/3

  = 41 2/3 . . . feet

7 0
4 years ago
Help me asap pleaseeeeee
34kurt

Answer:

1. her elevation at noon was 3 meters

2. (-2, 7)

3. (1, 0)

Step-by-step explanation:

1. when x = 0, it is noon, y = 3 when x is 7

2. when x = -2 it is 10 am because when x is 0, it is noon, or 12 pm, her elevation is 7 meters above sea level

3. when x is 1, it is 1 pm, and her elevation is 0 meters

5 0
3 years ago
If you are told to calculate simple interest, and you are told to calculate the interest for 6 months, what would you need to do
Sophie [7]

Answer:

number of periods per year m, times the number of periods n: simple interest amount = principal amount × (rate / m) × n.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
3. sin t + cos2 t / sin t =
Charra [1.4K]
See the picture, please!!

7 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
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