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3 years ago

Write down the general zeroth order linear ordinary differential equation. Write down the general solution.

1 answer:

7 0

The zeroth derivative of a function $y(x)$ is simply the function itself, so the zeroth order linear ODE takes the general form

$y(x)=f(x)$

whose solution is $f(x)$ .

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The diameter of a circle is 10 meters. What is the area of the circle?(use 3.14 for pie and round to the nearest tenth

asambeis [7]

A=78.54

A=1 /4πd2=1 /4·π·10^2≈78.53982m²

Hope this helps

Formulas

A=πr2

d=2r

8 0

3 years ago

Please help with the picture below

elena-s [515]

Answer:

Step-by-step explanation:

Remark

The angles are marked as alternate interior angles. To be parallel, they must be equal. In other words x - 20 must equal 52. That's all you have to do. Just equate the 2 givens and solve.

Givens

x - 20 is one angle

52 is the other.

Solution

x - 20 = 52 Add 20 to both sides.

x - 20 + 20 = 52 +20 Combine

x = 72

Answer: C

4 0

2 years ago

Which expression should you simplify to find the 90% confidence interval,

bogdanovich [222]

Answer:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.2870.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

Step-by-step explanation:

The estimated proportion of interest is $\hat p=0.45$

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ .

And the critical value is: $z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the true population proportion is interest is given by this formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

Replacing the values provided we got:

$0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287\\\\0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613$

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

5 0

3 years ago

Simplify: –4(x – 5) + 3(a – 7)

Serga [27]

-4 (x - 5) + 3 (a - 7)

First, expand your problem. / Your problem should look like: -4x + 20 + 3a - 21
Second, simplify. / Your problem should look like: -4x + 3a - 1

Answer: -4x + 3a - 1 (C)

8 0

4 years ago

Read 2 more answers

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/20 for blue, 1/10 f

FromTheMoon [43]

Answer:

1/4

Step-by-step explanation:

4 0

3 years ago