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3 years ago

4.082 rounded to the nearest hundredth

Mathematics

2 answers:

Sergio [31]3 years ago

8 0

4.08 That is my answer

Musya8 [376]3 years ago

5 0

4.082 rounded to the nearest hundredth is:

4.08 because 2 is less than 5

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2 points) Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One

Stells [14]

$y'=(t+y)^2-1$

Substitute $u=t+y$ , so that $u'=y'$ , and

$u'=u^2-1$

which is separable as

$\dfrac{u'}{u^2-1}=1$

Integrate both sides with respect to $t$ . For the integral on the left, first split into partial fractions:

$\dfrac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)=1$

$\displaystyle\int\frac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)\,\mathrm dt=\int\mathrm dt$

$\dfrac12(\ln|u-1|-\ln|u+1|)=t+C$

Solve for $u$ :

$\dfrac12\ln\left|\dfrac{u-1}{u+1}\right|=t+C$

$\ln\left|1-\dfrac2{u+1}\right|=2t+C$

$1-\dfrac2{u+1}=e^{2t+C}=Ce^{2t}$

$\dfrac2{u+1}=1-Ce^{2t}$

$\dfrac{u+1}2=\dfrac1{1-Ce^{2t}}$

$u=\dfrac2{1-Ce^{2t}}-1$

Replace $u$ and solve for $y$ :

$t+y=\dfrac2{1-Ce^{2t}}-1$

$y=\dfrac2{1-Ce^{2t}}-1-t$

Now use the given initial condition to solve for $C$ :

$y(3)=4\implies4=\dfrac2{1-Ce^6}-1-3\implies C=\dfrac3{4e^6}$

so that the particular solution is

$y=\dfrac2{1-\frac34e^{2t-6}}-1-t=\boxed{\dfrac8{4-3e^{2t-6}}-1-t}$

3 0

3 years ago

They r similar solve for n

a_sh-v [17]

Answer:

n = 6

Step-by-step explanation:

As they are similar, the ratios of their side must be similar as well

9 / 10.5 = n / 7

n = 9(7)/10.5 = 6

8 0

3 years ago

Which statement is true about the graphs of the two lines y= -4/5x + 2 and y = - 5/4x - 1/2?

vagabundo [1.1K]

They have no relation, except for the fact that they intersect.

We have given that,

The graphs of the two lines y= -4/5x + 2 and y = - 5/4x - 1/2

If the equations were instead y = +5/4x - 1/2 and

<h3>What is the slope of the perpendicular line?</h3>

Vertical lines and horizontal lines are perpendicular to each other. The slope of the perpendicular line in this case would be the slope of a horizontal line which would be 0. The slope of the parallel line is undefined and the slope of the perpendicular line is 0.

y = -4/5x + 2, or

y = +4/5 + 2 and

y = -5/4x -1/2,

Then they would be perpendicular.

To learn more about the graph of two line visit:

brainly.com/question/19582041

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7 0

2 years ago

The vertex of this parabola is at (-5, 4). which of the following could be it’s equation?

Olenka [21]

Answer:

y = -(x + 5)^2 + 4

Step-by-step explanation:

I'm 8 years old and I know how to do this.

4 0

3 years ago

Read 2 more answers

Area of a circle<br> R = 5cm<br> Area=<br> REMEMBER TO ANSWER TO 2 DECIMAL PLACES.

Musya8 [376]

Answer:

78.52 cm sq.

Step-by-step explanation:

Area = pi x r^2

A = pi x (5)^2

A = pi x 25

A = 3.141 x 25

A = 78.52 cm sq.

4 0

4 years ago