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3 years ago

Compute F(s), the Laplace transform of f(t) = e^(5t) (t^2 +4t +7)

Mathematics

1 answer:

MakcuM [25]3 years ago

3 0

Recall that

$\mathcal L_s\{t^ne^{ct}\}=\dfrac{n!}{(s-c)^{n+1}}$

Then

$F(s)=\dfrac2{(s-5)^3}+\dfrac4{(s-5)^2}+\dfrac7{s-5}$

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1 and 2, 3 und 5, etc

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3 years ago

What numbers multiply to 20 & add up to 9.

Fantom [35]

Answer:

4 and 5

Step-by-step explanation:

4 x 5 = 20

4 + 5 = 9

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What is the value of 2x4 + 5x when x=6?

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This would be 2(6)^4 + 5*6

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3 years ago

At Clucker's Chicken, a bucket of 4 pieces of dark meat and 5 pieces of white meat costs 7.05. A bucket of 3 pieces of dark meat

Alenkinab [10]

Answer:

The cost of a piece of dark meat is $0.70 and the cost of a piece of white meat is $0.85.

Step-by-step explanation:

Given:

At Clucker's Chicken, a bucket of 4 pieces of dark meat and 5 pieces of white meat costs 7.05.

A bucket of 3 pieces of dark meat and 8 pieces of white meat costs 8.90.

Now, to find the cost of a piece of dark meat and the cost of a piece of white meat.

Let the cost of a piece of dark meat be $x.$

And the cost of a piece of white meat be $y.$

A bucket of 4 pieces of dark meat and 5 pieces of white meat costs $7.05.

So,

$4x+5y=7.05$

$4x=7.05-5y$

$x=\frac{7.05-5y}{4}$ .......(1)

Now, a bucket of 3 pieces of dark meat and 8 pieces of white meat costs $8.90.

$3x+8y=8.90$

Substituting the value of $x$ from equation (1) we get:

$3(\frac{7.05-5y}{4})+8y=8.90$

$\frac{21.15-15y}{4} +8y=8.90$

$\frac{21.15-15y+32y}{4} =8.90$

Multiplying both sides by 4 we get:

$21.15-15y+32y=35.60$

$21.15+17y=35.60$

Subtracting both sides by 21.15 we get:

$17y=14.45$

Dividing both sides by 17 we get:

$y=0.85$

The cost of a piece of white meat = $0.85.

Now, substituting the value of $y$ in equation (1) we get:

$x=\frac{7.05-5y}{4}$

$x=\frac{7.05-5\times 0.85}{4}$

$x=\frac{7.05-4.25}{4}$

$x=\frac{2.8}{4}$

$x=0.70.$

The cost of a piece of dark meat = $0.70.

Therefore, the cost of a piece of dark meat is $0.70 and the cost of a piece of white meat is $0.85.

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3 years ago

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stira [4]

For #31 you would make two squares on the left and right side and then four rectangles in the middle

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