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3 years ago

7. Big screen TV's are typically classified by the

Mathematics

1 answer:

Serggg [28]3 years ago

6 0

Answer:100

Step-by-step explanation:

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4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

harina [27]

Answer:

$y=3e^{-4t}$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

$L=\frac{3s+3}{s^2+5s+4}$

$L=\frac{3(s+1)}{(s+1)(s+4)}$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}$

$y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}$

7 0

3 years ago

Write this ratio as a fraction in the simplest form 3 feet to 63 inches

Andrei [34K]

Answer:

4:7

Step-by-step explanation:

Okay, so first convert the feet to inches so 3x12=36. So the it's 36:63. Then if you simplify it you get 4:7.

3 0

3 years ago

What is the Volume?

Serhud [2]

Answer:

703.36

Step-by-step explanation:

the formula is v=b×h×pi

pi = 3.14

length: 28

base:8

So base (8) times length (28) times pi (3.14)

8×28×3.14 = 703.36

8 0

3 years ago

Will give brainlest if u slove

grin007 [14]

Answer:

Step-by-step explanation:

6 0

2 years ago

The Miguel traces a circle with the radius of 25 cm like the one shown. He will color the shade section what is the area of the

Scilla [17]

Answer: The area of shaded section is 491.07 cm²

Step-by-step explanation:

Given: Radius of the circle = 25 cm

Now as shown in figure the shaded region is a quadrant.

Therefore the central angle is 90°

Now as we know

Area of sector is given by

$Area= \pi r^2 \dfrac{\theta}{360^\circ}$ where r is radius and $\theta$ is central angle

So we have

$Area = \dfrac{22}{7} \times (25)^2\times \dfrac{90^\circ}{360^\circ} \\\\\Rightarrow Area= \dfrac{22}{7} \times 625 \times \dfrac{1}{4} \\\\\Rightarrow Area= \dfrac{11}{7} \times 625 \times \dfrac{1}{2} = 491.07cm^2$

Hence, the area of shaded section is 491.07 cm²

5 0

3 years ago