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3 years ago

Find the Laplace transform

1 answer:

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In mathematics, the Laplace transform is an integral transform named after its inventor Pierre-Simon Laplace. It transforms a function of a real variable t to a function of a complex variable s.

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Find the area of the trapezoid.

Vadim26 [7]

Area of the trapezium = 1/2(18 + 6) x 12
Area of the trapezium = 144 in²

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Answer: Area = 144 in²
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3 years ago

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What 2 numbers add up to 1 and multiply to -12

Vinil7 [7]

-3 and 4......................

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3 years ago

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Show all work to solve 3x^2 + 5x − 2 = 0

Ratling [72]

Answer:

x=1/3 or x=−2

if i can be brainliest that would be great

Step-by-step explanation:

Step 1: Add 2 to both sides.

3x^2+5x−2+2=0+2

3x^2+5x=2

Step 2: Since the coefficient of 3x^2 is 3, divide both sides by 3.

3x^2+5x/3=2/3

x^2+5/3x=2/3

Step 3: The coefficient of 5/3x is 5/3. Let b=5/3.

Then we need to add (b/2)^2=25/36 to both sides to complete the square.

Add 25/36 to both sides.

x^2+5/3x+25/36=2/3+25/36

x^2+5/3x+25/36=49/36

Step 4: Factor left side.

(x+5/6)^2=49/36

Step 5: Take square root.

x+5/6=±√49/36

Step 6: Add (-5)/6 to both sides.

x+5/6+ −5/6=

−5/6±√49/36x=−5/6±√49/36x=

1/3 or x=−2

3 0

3 years ago

What 3 ratios that are equivalent

steposvetlana [31]

Answer:

1:2, 2:4, 3:6

Step-by-step explanation:

If you times 1:2 by 2, you get 2:4. If you times 1:2 by 3, you get 3:6.

You have to multiply each individual number in the ratio.

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3 years ago

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The table shows the results of an experiment in which subjects taking either a drug or a placebo either reported fatigue or did

Lady bird [3.3K]

Answer:

Therefore, the correct options are;

-P(fatigue) = 0.44

$P(fatigue \left | \right drug)$ = 0.533

--P(drug and fatigue) = 0.32

P(drug)·P(fatigue) = 0.264

Step-by-step explanation:

Here we have that for dependent events,

$P(A \, and \, B)= P(A)\times P(B\left | \right A )$

From the options, we have;

$P(fatigue \left | \right drug)$ = 0.533

P(drug) = 0.6

P(drug and fatigue) = 0.32

Therefore

P(drug and fatigue) = P(drug)× $P(fatigue \left | \right drug)$

= 0.6 × 0.533 = 0.3198 ≈ 0.32 = P(drug and fatigue)

Therefore, the correct options are;

-P(fatigue) = 0.44

$P(fatigue \left | \right drug)$ = 0.533

--P(drug and fatigue) = 0.32

P(drug)·P(fatigue) = 0.264

Since P(fatigue) = 0.44 ∴ P(drug) = 0.264/0.44 = 0.6.

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3 years ago