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tino4ka555 [31]
3 years ago
13

7. In Ryan's city, it rained 2/5 of the days in September. More than 2 cm of rain fell 1/4 of those days. What fraction of the d

ays in September had rainfall of more than 2 cm?
Mathematics
1 answer:
ASHA 777 [7]3 years ago
5 0

Answer:

1/10 of the days in September had rainfall more than 2 cm

Step-by-step explanation:

Use the information given:

  • 2/5 of the days in September had rain
  • 1/4 of the days in September that had rain, had more then 2cm of rain
  • 1/4 of 2/5 is 2/20=1/10
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Find a particular solution to y" - y + y = 2 sin(3x)
leonid [27]

Answer with explanation:

The given differential equation is

y" -y'+y=2 sin 3x------(1)

Let, y'=z

y"=z'

\frac{dy}{dx}=z\\\\d y=zdx\\\\y=z x

Substituting the value of , y, y' and y" in equation (1)

z'-z+zx=2 sin 3 x

z'+z(x-1)=2 sin 3 x-----------(1)

This is a type of linear differential equation.

Integrating factor

     =e^{\int (x-1) dx}\\\\=e^{\frac{x^2}{2}-x}

Multiplying both sides of equation (1) by integrating factor and integrating we get

\rightarrow z\times e^{\frac{x^2}{2}-x}=\int 2 sin 3 x \times e^{\frac{x^2}{2}-x} dx=I

I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx -\int \frac{2\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx-\frac{2I}{3}\\\\\frac{5I}{3}=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{5}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{5} dx

8 0
3 years ago
Which statement justifies that 3x² − 2x − 4 multiplied by 2x² + x − 3 obeys the closure property of multiplication?
Anna007 [38]

Step-by-step explanation:

(3x2 - 2x - 4) (2x2 + x - 3)

6x4 + 3x3 - 9x2 - 4x3 - 2x2 + 6x - 8x2 - 4x + 12

Solving like terms

6x4 - x3 - 19x2 + 2x + 12

8 0
3 years ago
Read 2 more answers
F(x)=x+1, g(x)=-x, and h(x)=x^2+1<br> find (g of)(x)
Dvinal [7]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
Mr. Smith water is one of his plans every 10 days and another plant every 14 days if you wanted both plans today when is the nex
aleksklad [387]

Answer:

70 days

Step-by-step explanation:

14x5=70

10x7=70

5 0
4 years ago
How many solutions are there to the equation below? 12x + 32 = 12x - 7
marshall27 [118]
0 solutions

move the x to one side, and the numbers to the other.

12x (-12x) + 32 (-32)= 12 (-12x) - 7 (-32)

12x - 12x = -7 - 32

0 = -39

0 ≠ -39

∴ you have 0 solutions

hope this helps


4 0
4 years ago
Read 2 more answers
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