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3 years ago

Find P(7).................

Mathematics

1 answer:

maw [93]3 years ago

3 0

P(7) = 1/8 = 0.125 out of 1

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trasher [3.6K]

Answer: the answer is 6x-5=36

Step-by-step explanation:

dont blame me this is how i was taught

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3 years ago

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Finding the Area of a Triangle

nignag [31]

Answer: 1, 3, 6

Step-by-step explanation:

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3 years ago

Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt

Paladinen [302]

Answer:

$y(x)=4a\sqrt{3}* sin(x)-3a$

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

$\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}$

But:

$\frac{1}{tan(x)} =cot(x)$

So:

$\frac{dy(x)}{dx} =cot(x)*(3a+y)$

Multiplying both sides by dx and dividing both sides by 3a+y:

$\frac{dy}{3a+y} =cot(x)dx$

Integrating both sides:

$\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx$

Evaluating the integrals:

$log(3a+y)=log(sin(x))+C_1$

Where C1 is an arbitrary constant.

Solving for y:

$y(x)=-3a+e^{C_1} sin(x)$

$e^{C_1} =constant$

So:

$y(x)=C_1*sin(x)-3a$

Finally, let's evaluate the initial condition in order to find C1:

$y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a$

Solving for C1:

$C_1=4a\sqrt{3}$

Therefore:

$y(x)=4a\sqrt{3}* sin(x)-3a$

3 0

3 years ago

Emergency!!!!!!

Phoenix [80]

Answer:

The answer is c. 28cm2

6 0

3 years ago

What is the mean of this? 48, 12, 35, 57, 42, 15, 74, 29

malfutka [58]

$\begin{gathered} \text{Mean = }\frac{\sum ^{}_{}X}{n} \\ =\text{ }\frac{48\text{ +12+35+57+42+15+74+29}}{8} \\ =\frac{312}{8} \\ =39 \end{gathered}$

5 0

1 year ago