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irina1246 [14]
3 years ago
11

A number is increased by 35%. The result is 324

Mathematics
1 answer:
stich3 [128]3 years ago
3 0

Answer:

240.74

Step-by-step explanation:

y=±x*\frac{100+p}{100}

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Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8​
Ivanshal [37]

It looks like the differential equation is

\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}

Factorize the right side by grouping.

xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)

xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)

Now we can separate variables as

\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx

Integrate both sides.

\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx

\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx

\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}

You could go on to solve for y explicitly as a function of x, but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

8 0
2 years ago
In electrical engineering, the unwanted "noise" in voltage or current signals is often modeled by a Gaussian (i.e., normal) dist
vladimir1956 [14]

Answer:

Cov(X, Y) =0.029.

Step-by-step explanation:

Given that :

The noise in a particular voltage signal has a constant mean of 0.9 V. that is μ = 0.9V ............(1)

Also, the two noise instances sampled τ seconds apart have a bivariate normal distribution with covariance.

0.04e–jτj/10 ............(2)

Having X and Y denoting the noise at times 3 s and 8 s, respectively, the difference of time = 8-3 = 5seconds.

That is, they are 5 seconds apart,

τ = 5 seconds..............(3)

Thus,

Cov(X, Y), for τ = 5seconds = 0.04e-5/10

= 0.04e-0.5 = 0.04/√e

= 0.04/1.6487

= 0.0292

Thus, Cov(X, Y) =0.029.

5 0
3 years ago
Help: see picture for information. How much will Jerry have to pay if he wants to pay as little money as possible?
wolverine [178]
105 is the correct answer

5 0
4 years ago
Read 2 more answers
Identify the vertex and the y-intercept of the graph of the function y--(x+3 +4
Daniel [21]

The vertex is at (-3, 4)



This can be found by looking at the basic form of vertex form:



y = (x - h)^2 + k



In this basic form the vertex is (h, k). By looking at what is plugged into the equation, it is clear that h = -3 and k = 4. This means the vertex is at (-3, 4).



The y-intercept is at 13. To find this we must first square the parenthesis and get the equation into standard form.


y = (x + 3)^2 + 4

y = x^2 + 6x + 9 + 4

y = x^2 + 6x + 13


Now we know that the y-intercept is equal to the constant, which is the last number in the equation.

7 0
4 years ago
Can some help <br> I don’t understand this problems
andreev551 [17]

Answer:

Homie its B

Step-by-step explanation:

yee yee

5 0
3 years ago
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