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3 years ago

Please help me on these questions

Mathematics

1 answer:

Virty [35]3 years ago

5 0

Because it is a quadrilateral, all 4 angles have to add up to 360 degrees.

Add the 3 known angle measures.

80+95+38=213

Then subtract from 360.

360-213=147

X=147 degrees

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What is 5.6 as a fraction??

Dafna1 [17]

The answer is a mix number 5 and 3/5

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4 years ago

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In problem solve the given differential equation by underdetermined coefficients y''-2y+y=xe^x

Alexus [3.1K]

Answer:

Solution is $y(t)=C_1e^x+C_2xe^x+\frac{x^3e^x}{6}$

Step-by-step explanation:

Given Differential Equation,

$y"-2y'+y=xe^x$ ...............(1)

We need to solve the given differential equations using undetermined coefficients.

Let the solution of the given differential equation is made up of two parts. one complimentary solution and one is particular solution.

$\implies\:y(x)=y_c(x)+y_p(x)$

For Complimentary solution,

Auxiliary equation is as follows

m² - 2m + 1 = 0

( m - 1 )² = 0

m = 1 , 1

So,

$y_c(x)=C_1e^x+c_2xe^x$

Now for particular solution,

let $y_p(x)=Ax^3e^x$

$y'=Ax^3e^x+3Ax^2e^x$

$y"=Ax^3e^x+6Ax^2e^x+6Axe^x$

Now putting these values in (1), we get

$Ax^3e^x+6Ae^2e^x+6Axe^x-2(Ax^3e^x+3Ax^2e^x)+Ax^3e^x=xe^x$

$Ax^3e^x+6Ae^2e^x+6Axe^x-2Ax^3e^x-6Ax^2e^x+Ax^3e^x=xe^x$

$6Axe^x=xe^x$

$6A=1$

$A=\frac{1}{6}$

$\implies\:y_p(x)=\frac{x^3e^x}{6}$

Therefore, Solution is $y(t)=C_1e^x+C_2xe^x+\frac{x^3e^x}{6}$

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4 years ago

PLEASE HELP ME!!!!!!!!!!! FAST PLEASE ITS URGENT!!!!!!!! WILL GIV BRAINLIEST!!!

Natali5045456 [20]

The answer would be A

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4 years ago

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The weights of a sample of college textbooks has a bell-shaped distribution with a mean of 8.1 p o u n d s ( l b s ) and a stand

weeeeeb [17]

Answer:

The interval ( 1,8 ; 14,4 ) will contains 99,7 % of all values

Step-by-step explanation:

For Normal Distribution N ( μ ; σ ) the Empirical Rule establishes that in the intervals:

( μ ± σ ) we find 68,3 % of all values

( μ ± 2σ ) we find 95,4 % of all values

( μ ± 3σ ) we find 99,7 % of all values

Then we have a normal distribution N ( 8,1 ; 2,1 )

3*σ = 3* 2,1 = 6,3

And 8,1 - 6,3 = 1,8 8,1 + 6,3 = 14,4

Then the interval ( 1,8 ; 14,4 ) will contains 99,7 % of all values

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3 years ago

2 hours after a freight train leaves delhi a passenger train leaves the same station traveling in the same direction at an avera

insens350 [35]

The average speed of the freight train was 10.67 km/hr.

<h3>What is average speed?</h3>

The average speed is the total distance traveled by the object in a particular time interval.

Now it is given that,

Average speed of the passenger train = 16 km/hr

Time taken by passenger train to overtake the freight train = 4 hours

So, the distance between two trains = Average speed of the passenger train * Time taken by passenger train overtake the freight train

⇒ distance between two trains = 16 * 4 = 64 km

Thus, Distance to be covered by freight train = 64 km

Since, freight train leaves the same station in the same direction after 2 hours.

Hence, total time taken to cover 64 km by freight train = 2 + 4

= 6 hours

⇒ Average speed of the freight train = Distance covered by freight train/total time taken to cover 64 km

⇒ Average speed of the freight train = 64/6 km/hr

⇒ Average speed of the freight train = 32/3 km/hr

or, Average speed of the freight train = 10.67 km/hr

Thus, the average speed of the freight train was 10.67 km/hr.

To learn more about average speed:

brainly.com/question/14556289

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1 year ago