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2 years ago

The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4.

Mathematics

1 answer:

telo118 [61]2 years ago

5 0

Answer:

a c and e

Step-by-step explanation:

I JUST FINISHED THE ASSIGNMENT

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Solve the given initial-value problem. the de is of the form dy dx = f(ax + by + c), which is given in (5) of section 2.5. dy dx

shutvik [7]

$\dfrac{\mathrm dy}{\mathrm dx}=\cos(x+y)$

Let $v=x+y$ , so that $\dfrac{\mathrm dv}{\mathrm dx}-1=\dfrac{\mathrm dy}{\mathrm dx}$ :

$\dfrac{\mathrm dv}{\mathrm dx}=\cos v+1$

Now the ODE is separable, and we have

$\dfrac{\mathrm dv}{1+\cos v}=\mathrm dx$

Integrating both sides gives

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=\int\mathrm dx$

For the integral on the left, rewrite the integrand as

$\dfrac1{1+\cos v}\cdot\dfrac{1-\cos v}{1-\cos v}=\dfrac{1-\cos v}{1-\cos^2v}=\csc^2v-\csc v\cot v$

Then

$\displaystyle\int\frac{\mathrm dv}{1+\cos v}=-\cot v+\csc v+C$

and so

$\csc v-\cot v=x+C$

$\csc(x+y)-\cot(x+y)=x+C$

Given that $y(0)=\dfrac\pi2$ , we find

$\csc\left(0+\dfrac\pi2\right)-\cot\left(0+\dfrac\pi2\right)=0+C\implies C=1$

so that the particular solution to this IVP is

$\csc(x+y)-\cot(x+y)=x+1$

5 0

2 years ago

Its

damaskus [11]

Answer:

$P(Green\ and\ Green) = \frac{25}{144}$

Step-by-step explanation:

Given

$Green=5$

$Blue = 7$

Required

$P(Green\ and\ Green)$

This is calculated as:

$P(Green\ and\ Green) = P(Green) * P(Green)$

Since, it is a probability with replacement, we have:

$P(Green\ and\ Green) = \frac{Green}{Total} * \frac{Green}{Total}$

So, we have:

$P(Green\ and\ Green) = \frac{5}{12} * \frac{5}{12}$

$P(Green\ and\ Green) = \frac{25}{144}$

5 0

2 years ago

A number cube was rolled as part of an experiment. The results are shown in the table. Explain how to find the experimental prob

pychu [463]

The experimental probability of rolling a 6 is 9/60 which can be determined by dividing the frequency of the observation 6 with the total frequency of the experiment.

<u>Step-by-step explanation:</u>

Experimental probability is different from theoretical probability because the former is obtained by experimentation while the latter is what we expect theoretically.When we take a number of observations, the experimental probability and theoretical probability need not be the same.

In this question we have to determine the experimental probability of 6. It can be determined by dividing the frequency of the observation 6 by the total frequency of the experiment.

frequency of 6=9

total frequency=frequency of 1+frequency of 2+frequency of 3+frequency of 4+frequency of 5+frequency of 6

=13+11+9+8+10+9

=60

P(6)=frequency of 6/total frequency

=9/60

4 0

2 years ago

Read 2 more answers

Which statement is true

weqwewe [10]

The answers are
a) the domain is all real numbers
d) the input to an exponential function is the exponent
e) the base represents the multiplicative rate of change

hope this helps :)

5 0

2 years ago

Daniel baked 12 pies in 6 days Rates

bekas [8.4K]

That’s too much Pie and it’s waste a lot of money yooo and why would he do that dang wow :(

4 0

2 years ago