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3 years ago

If b= the number of blue bikes, which algebraic expression represents the

Mathematics

2 answers:

Anuta_ua [19.1K]3 years ago

8 0

It should be c! because the sum of blue bikes is b plus the 9 more!!

valkas [14]3 years ago

6 0

Answer:

Step-by-step explanation:

If B = blue bikes

sum = addition

and 9 = red bikes

so B+9

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Consider the differential equation:

Wewaii [24]

(a) Take the Laplace transform of both sides:

$2y''(t)+ty'(t)-2y(t)=14$

$\implies 2(s^2Y(s)-sy(0)-y'(0))-(Y(s)+sY'(s))-2Y(s)=\dfrac{14}s$

where the transform of $ty'(t)$ comes from

$L[ty'(t)]=-(L[y'(t)])'=-(sY(s)-y(0))'=-Y(s)-sY'(s)$

This yields the linear ODE,

$-sY'(s)+(2s^2-3)Y(s)=\dfrac{14}s$

Divides both sides by $-s$ :

$Y'(s)+\dfrac{3-2s^2}sY(s)=-\dfrac{14}{s^2}$

Find the integrating factor:

$\displaystyle\int\frac{3-2s^2}s\,\mathrm ds=3\ln|s|-s^2+C$

Multiply both sides of the ODE by $e^{3\ln|s|-s^2}=s^3e^{-s^2}$ :

$s^3e^{-s^2}Y'(s)+(3s^2-2s^4)e^{-s^2}Y(s)=-14se^{-s^2}$

The left side condenses into the derivative of a product:

$\left(s^3e^{-s^2}Y(s)\right)'=-14se^{-s^2}$

Integrate both sides and solve for $Y(s)$ :

$s^3e^{-s^2}Y(s)=7e^{-s^2}+C$

$Y(s)=\dfrac{7+Ce^{s^2}}{s^3}$

(b) Taking the inverse transform of both sides gives

$y(t)=\dfrac{7t^2}2+C\,L^{-1}\left[\dfrac{e^{s^2}}{s^3}\right]$

I don't know whether the remaining inverse transform can be resolved, but using the principle of superposition, we know that $\frac{7t^2}2$ is one solution to the original ODE.

$y(t)=\dfrac{7t^2}2\implies y'(t)=7t\implies y''(t)=7$

Substitute these into the ODE to see everything checks out:

$2\cdot7+t\cdot7t-2\cdot\dfrac{7t^2}2=14$

5 0

3 years ago

I need help I do not understand this it's due tomorrow

Goshia [24]

I'll help you out with 3 questions.
For #1, you kind of figured it out yourself
That 90 degree angle on paper means that m/1 and m/2 make up 90
If m1 is 50, then just subtract m1 (50) from 90, making it 40. m/2 is 40

If Angle M4 is 45 degrees then angle M3 is 180-45 since they both make up a 180 degree angle.

There are 180 degrees in a triangle
If m 8 = 78
and m 9 = 60
m 10 is 180 - 78 - 60

8 0

3 years ago

Marking brainliest!<br><br> Don’t use the internet pls!

sergejj [24]

I would say based on Lincoln's success and that Lincoln helped inspire Martin. Lincoln won the Civil War which helped open the minds of other people who were pro-slavery so that's what I mean about the success.

7 0

2 years ago

Maria practised football for 1

krok68 [10]

Answer:

348 hrs

Step-by-step explanation:

Hours of football practiced altogether = sum of hours practiced on friday and Saturday

Therefore

125 + 223

= 348 hrs

7 0

3 years ago

Please help I could win a doughnut

Leya [2.2K]

8X10/96 8 times 10 divided by 96<span />

4 0

3 years ago