What is the area of the trapezoid?
5 cm
14 cm
5 cm
10 cm

Answer:

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

Step-by-step explanation:

In this case, we should use the following direct and inverse Laplace Transforms:

[tex]F(s) = G(s) + H(s)[/tex] (1)

[tex]\mathcal{L}^{-1} \{\frac{s}{s^{2}+\omega^{2}} \} = \cos \omega t[/tex] (2)

[tex]\mathcal{L}^{-1}\{\frac{\omega}{s^{2}+\omega^{2}} \} = \sin \omega t[/tex] (3)

[tex]\mathcal\{L\}^{-1}\{c\cdot F(s)\} = c\cdot \mathcal\{L\}^{-1}\{F(s)\}[/tex] (4)

Then, we apply all these trasforms:

[tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex]

[tex]F(s) = 3\cdot \left(\frac{s}{s^{2}+9} \right)+3\cdot \left(\frac{3}{s^{2}+9} \right)[/tex]

[tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex]

The inverse Laplace transform of [tex]F(s) = \frac{3\cdot s + 9}{s^{2}+9}[/tex] is [tex]f(t) = 3\cdot \cos \omega t + 3\cdot \sin \omega t[/tex].

Answer:B

Step-by-step explanation:

Answer:

6 students are wearing blue shirts

Step-by-step explanation:

you divide 36 by 6 and that equals 1/6 of the students.

Answer:

Step-by-step explanation:

To distribute means to multiply everything outside the parenthesis with everything inside the parenthesis, so in this case 7x8 then 7(x) then 7x2 so that is equal to 56 + 7x + 14, so combine the 56+14 so we get 7x + 70.  I hope '7' is part of the problem and not the question number

Answer:

7x + 70

Step-by-step explanation:

As implied in the question, when you use the distributive property you need to distribute the factor outside the parenthesis to the ones inside the parenthesis.

When we look at 7(8+x+2)

You need to multiply all the factors inside the parenthesis by the 7 outside the parenthesis.

to break it down, do

7*8 = 56

7*x = 7x

7*2 = 14

From here, just add 56+14 to get 70 and then write out your answer as 7x + 70.

Given:

A figure of a right triangle.

To find:

The missing side by using the trigonometric ratios.

Solution:

In a right angle triangle,

[tex]\cos \theta=\dfrac{Adjacent}{Hypotenuse}[/tex]

In triangle ABC,

[tex]\cos A=\dfrac{AC}{AB}[/tex]

[tex]\cos (31^\circ)=\dfrac{b}{270}[/tex]

[tex]0.857=\dfrac{b}{270}[/tex]

Multiply both sides by 270.

[tex]0.857\times 270=b[/tex]

[tex]231.39=b[/tex]

[tex]b\approx 231.4[/tex]

Therefore, the missing side length is b=231.4 inches.

24 divided by 12 equals 2,083

The division of 25 by 12  gives the quotient 2 and remainder is 1.

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.

Given:

We have to divide 25 by 12.

The division is as follow:

                            12| 25 | 2

                                  24

                              ______

                                   1

Thus the Quotient is 2 and remainder is 1.

Learn more about Division here:

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Answer:

[tex]x^{3}[/tex][tex]\sqrt{x}[/tex]

Step-by-step explanation:

An easier way to approach this is to separate the inside first.

[tex]\sqrt[]{x*x*x*x*x*x*x}[/tex]

Now you can group together pairs of 2, and they come out as one.

[tex]x*x*x\sqrt{x}[/tex]

Multiply all the xs on the outside, and you get

[tex]x^{3}[/tex][tex]\sqrt{x}[/tex]

Answer:

True

Step-by-step explanation:

Hope this helps you

Answer:

1.0833333 Feet

Hope this helps! If I could have brainliest im trying to level up.

Step-by-step explanation:

13 Inches =

1.0833333 Feet

(rounded to 8 digits)

Answer:

Focal length

Step-by-step explanation:

Not sure tbh

Answer:

17 players

Step-by-step explanation:

6 people scored 2

8 people scored 3

3 people scored 4

Answer: 25.0

Step-by-step explanation:

25

Answer:

25

Step-by-step explanation:

0.06 rounds up into the .9 which is now a 1

Answer:

[tex]2x^8-6x^7+11x^6-2x+10[/tex]

Step-by-step explanation:

To find: [tex]10x^8+11x^6-2x+5-(8x^8+6x^7-5)[/tex]

Solution:

Like terms refer to terms with same variables and same powers.

Two like terms can be added or subtracted.

Consider the following expression:

[tex]10x^8+11x^6-2x+5-(8x^8+6x^7-5)=10x^8+11x^6-2x+5-8x^8-6x^7+5\\=(10-8)x^8-6x^7+11x^6-2x+(5+5)\\=2x^8-6x^7+11x^6-2x+10[/tex]

(Here, like terms are added or subtracted)

x² = 6² + 19²

x² = 36 + 361

x = √397

Answer im not in grade

Step-by-step explanation:

Options :

A.) To avoid bias

B. To control for confounding variables

C. To produce treatment groups with similar characteristics

D. To generalize the experiment results to all freshman math students

Answer:

To avoid bias

To generalize the experiment results to all freshman math students

Step-by-step explanation:

One of the most common problems with statistical experimental research is the issue posed by bias. Either selection bias or assignment bias. Bias creeps into our experiment when one experimental group is more favored than the other. This means that the strategy employed is not totally random. In the experimetal design explained above, students were randomly assigned to group in other to avoid bias. This random assignment ensures that all samples have equal probability of being assigned to any of the two groups.

Randomized experimental designs also allows for making a good estimate of the population parameter fromnthe sample statistic

Answer 83

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

4 /  [tex]\frac{2}{3}[/tex] = 6

Answer:

a) 0.80

b) 0.72

c) 0.02

Step-by-step explanation:

It is assumed that

X = Bit transmitted

Y = Bit received

[tex]X^{0}[/tex] = Transmissted bit is 0

[tex]X^{1}[/tex] = Transmissted bit is 1

[tex]Y^{0}[/tex] = Received bit is 0

[tex]Y^{1}[/tex] = Received bit is 1

As per the given condition

P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 90%

P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] = 100% - 90% = 10%

P [ [tex]Y^{1}[/tex] | [tex]X^{1}[/tex] ] = 74%

P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] = 100% - 74% = 26%

P [ Tramitted bits are 0 ] = 80%

Now calculate each situation

a)

As all the transmitted bits are o has possibilit of 80% then

P [ X = 0 ] = P [ [tex]X^{0}[/tex] ] = 80% = 0.80

b)

P [ X = 0, Y = 0 ] = P [ [tex]X^{0}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{0}[/tex] ] x P [ [tex]X^{0}[/tex] ]  = 90% x 80% = 72% = 0.72

c)

P [ X = 1, Y = 0 ] = P [ [tex]X^{1}[/tex] , [tex]Y^{0}[/tex] ] = P [ [tex]Y^{0}[/tex] | [tex]X^{1}[/tex] ] x P [ [tex]X^{1}[/tex] ]  = 10% x ( 100% - 80% ) = 10% x 20% = 2% = 0.02

Answer:

a. 30 m

I hope it helps....

Answer:

30m

Step-by-step explanation:

[tex]18m^{2}[/tex]/m + 4m(3)

= [tex]30m^{2}[/tex]/m

= 30m

Hope it helps,

Please mark me as the brainliest

Thank you

Answer:

A. a translation right 2 units

Step-by-step explanation:

JUST DID IT.

Answer:

hwqvh bjvs bhs ebf

Step-by-step explanation:

Answer:

Thursday to Friday

Step-by-step explanation:

as its the greatest in size and the biggest

Hope it helps XD

The function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

The question is incomplete.

The complete question is:

Which function is increasing and has a domain of (1, ∞);

As we know, the function can be defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

Graph the function f(t) = log(t – 1) + 2 on a coordinate plane.

As we can see in the graph, the graph of a function has a domain:

(0 , ∞)

And the function is increasing.

Thus, the function f(t) = log(t – 1) + 2 is increasing and has a domain of (1, ∞) option (A) is correct.

Learn more about the Logarithm here:

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Answer:

A. f(t) = log(t – 1) + 2

Step-by-step explanation:

I took the test

Answer:

1.5

Step-by-step explanation:

23-17=6

6/4= 1.5

Answer:

-4+7h

Step-by-step explanation:

Answer:

9h-4

Step-by-step explanation:

8+5h-2+h-10+3h

-4+5h+h+3h

Answer:

5 + 4 = 8 (False)

1 + 1 = 2 (True)

Step-by-step explanation:

First Case:

5+4=8

No this is not correct as when 5 is added to 4 then the result should be - (1+1+1+1+1) + (1+1+1+1)

= 1 + 1 + 1 + 1 + 1 + 1 + 1 +1 +1

= 9

So this is not correct.

Second Case:

1 + 1 = 2

Yes this is correct when 1 and 1 are added for two times it results in 2.