Please answer soon!!!

I need help with this specific math problem.

Anika [276]

Answer:

Example 1 Find the inverse transform of each of the following.

F

(

s

)

=

6

s

−

1

s

−

8

+

4

s

−

3

H

(

s

)

=

19

s

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2

−

1

3

s

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5

+

7

s

5

F

(

s

)

=

6

s

2

+

25

+

3

s

2

+

25

G

(

s

)

=

8

3

s

2

+

12

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3

s

2

−

49

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3 0

3 years ago

In triangle ABC above, AD is perpendicular to CB. If the lengths of AD and CB were both increased by 50%, how would the area of

astra-53 [7]

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene triangle, equilateral triangle, isosceles triangle.

The area of a triangle is given as:

A = (1/2) * b * h

where b = base of triangle, h = height of triangle , A = area

Let BC = base = x, and AD = height = y, hence:

A = (1/2) * x * y = 0.5xy

If the lengths of AD and CB were both increased by 50%, hence:

new AD = y + 0.5y = 1.5y, new CB = x + 0.5x = 1.5x

The new area= (1/2) * 1.5y * 1.5x = 1.125xy

Increased area / area = 1.125xy / 0.5xy = 2.25

If the lengths are increased by 50%, the area would also increase and the new area would be 2.25 times

3 0

3 years ago

Find the missing length indicated 144 and 60

Alexxandr [17]

The missing length in the right triangle as given in the task content is; 156.

<h3>What is the missing length indicated?</h3>

It follows from the complete question that the triangle given is a right triangle and the missing length (longest side) can be evaluated by means of the Pythagoras theorem as follows;

x² = 144² + 60²

x² = 20736 + 3600

x² = 24,336

x = √24336

x = 156.

Remarks: The complete question involves a right triangle and the missing length is the longest side.

Read more on Pythagoras theorem;

brainly.com/question/343682

#SPJ1

7 0

2 years ago

At the scene of a crime, the police have found a blood stain, a footprint, and some threads from a fabric. All are presumed to h

zubka84 [21]

Answer:

There is a 0.175% chance of finding such a person who has all three characteristics.

Out of 4,000 people, 7 people would likely to match all three characteristics.

Step-by-step explanation:

A crime has been committed and after analyzing the evidence, police has found out that:

The criminal's blood type is a type found in only 10% of the population.
The criminal's footprint is a size 13 men's shoe and only 7% of the population wears such shoe size.
Only 25% of the population owns clothing made from a fabric that matches the thread samples found at the scene.

We required to find out the probability of selecting a random person who would match all of these characteristics.

Since it is given that the three characteristics are independent of each other then the required probability is

P(all 3 characteristics) = P(1st characteristic)*P(2nd characteristic)*P(3rd characteristic)

P(all 3 characteristics) = (10/100)*(7/100)*(25/100)

P(all 3 characteristics) = 1750/1,000,000

P(all 3 characteristics) = 7/4000

P(all 3 characteristics) = 0.00175

P(all 3 characteristics) = 0.175%

So out of 4,000 people, 7 people would likely to match all three characteristics.

or

There is a 0.175% chance of finding such a person who has all three characteristics

3 0

3 years ago

Select all the statements that are true for the graph shown.

Yuki888 [10]

Answer:

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

Step-by-step explanation:

The line in the question passes through origin and (4,-12).

The rate of change of the line is

$m=\dfrac{-12-0}{4-0}\\\Rightarrow m=\dfrac{-12}{4}\\\Rightarrow m=-3$

The rate of change of the line or slope of the line is -3

Equation of the line is given by

$(y-0)=-3(x-0)\\\Rightarrow y=-3x$

This means that the relationship is linear.

If we take any value of x then there will be only one value of y this means that the relationship is proportional.

So the following statements are true

The relationship is proportional.

The relationship is linear.

The equation of the line is y = –3x.

3 0

3 years ago

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