can someone answer this

Answer:

[tex]y(t) = 3x+8e^{-3x} -1[/tex]

Step-by-step explanation:

Recall that the following laplace transforms

[tex]L(y') = sY(s)-y(0)[/tex]

[tex]L(t) = \frac{1}{s^2}[/tex]

The laplace transform is linear, so, applying the laplace transform to the equation we get

[tex]L(y'+3y) = sY(s)-7+3Y(s) = L(9t) = \frac{9}{s^2}[/tex]

By some algebraic manipulations, we get

[tex] Y(s)(s+3) = \frac{9+7s^2}{s^2}[/tex]

which is equivalent to

[tex] Y(s) = \frac{9+7s^2}{s^2(s+3)} = \frac{9}{s^2(s+3)}+\frac{7}{s+3}[/tex]

By using the partial fraction decomposition, we get

[tex] \frac{9}{s^2(s+3)} = \frac{-1}{s} + \frac{3}{s^2} + \frac{1}{s+3}[/tex]

then

[tex]Y(s) = \frac{-1}{s} + \frac{3}{s^2} + \frac{1}{s+3} + \frac{7}{s+3} = \frac{8}{s+3} + \frac{3}{s^2}-\frac{1}{s}[/tex]

Using that

[tex] L(e^{-ax}) = \frac{1}{s+a}[/tex]

[tex]L(1) = \frac{1}{s}[/tex]

by taking the inverse on both sides we get

[tex] y(t) = L^{-1}(\frac{8}{s+3})+L^{-1}(\frac{3}{s^2})+L^{-1}(-\frac{1}{s}) = 8e^{-3x} + 3x-1[/tex]

Answer: L = 20.25

Step-by-step explanation:

[tex]T=2\pi \sqrt{\dfrac{L}{32}}[/tex]

Given: T = 5, π = 22/7

[tex]5=2\bigg(\dfrac{22}{7}\bigg)\sqrt{\dfrac{L}{32}}\\\\\\\dfrac{5}{2}\bigg(\dfrac{7}{22}\bigg)=\sqrt{\dfrac{L}{32}}\\\\\\\dfrac{35}{44}=\sqrt{\dfrac{L}{32}}\\\\\\\bigg(\dfrac{35}{44}\bigg)^2=\bigg(\sqrt{\dfrac{L}{32}}\bigg)^2\\\\\\\bigg(\dfrac{35}{44}\bigg)^2=\dfrac{L}{32}\\\\\\32\bigg(\dfrac{35}{44}\bigg)^2=L\\\\\\\large\boxed{20.25=L}[/tex]

Answer:

15 km/h

Step-by-step explanation:

Leo takes 15 minutes to cycle to school at an average speed of 12 km/h. What speed will he have if he only takes 12 minutes?

15 minutes * (1 hour)/(60 minutes) = 0.25 hour

speed = distance/time

distance = speed * time

distance = 12 km/h * 0.25 hour = 3 km

He cycles a distance of 3 km.

12 minutes * (1 hour)/(60 minutes) = 0.2 hour

speed = distance/time

speed = 3 km/(0.2 hour)

speed = 15 km/h

Answer:

[tex] x_1 = 5, x_2 =11, y_1 =9, y_2 = -3[/tex]

The slope can be founded with this formula:

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

And replacing we got:

[tex] m =\frac{-3 -9}{11-5}= -2[/tex]

And the best answer for this case would be :

[tex]m=-2[/tex]

Step-by-step explanation:

For this case we have the following two points given:

[tex] x_1 = 5, x_2 =11, y_1 =9, y_2 = -3[/tex]

The slope can be founded with this formula:

[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]

And replacing we got:

[tex] m =\frac{-3 -9}{11-5}= -2[/tex]

And the best answer for this case would be :

[tex]m=-2[/tex]

Answer:

see explanation

Step-by-step explanation:

According to the Fundamental theorem of Algebra.

A polynomial of degree n has n roots which may be real or complex or both.

Answer:

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots

(counting multiplicity)

Answer:

7x^2-4x+3y^2      ( the ^ means the exponent EX: 5^2 is 5 squared. )

Step-by-step explanation:

Remove the parenthesis (a) = a

12x^2-11y^2-13x- (5x^2-14y^2-9x)

-(5x^2 - 14y^2 - 9x)

Distribute parenthesis

-(5x^2) - (14y^2) - (-9x)

Apply minus - plus rules

-5x^2 + 14y^2 + 9x

= 12x^2 - 11y^2 - 13x - 5x^2 + 14y^2 + 9x

Simplify

12x^2-11y^2-13x-5x^2+14y^2+9x

Group like terms

12x^2-5x^2-13x+9x-11y^2+14y^2

Add similar elements

7x^2-13x+9x-11y^2+14y^2

Add similar elements ( - 13x + 9x = -4x )

7x^2-4x-11y^2+14y^2

Add similar elements 11y^2 + 14y^2 = 3y^2

7x^2-4x+3y^2

Answer:

Step-by-step explanation:

Let the angle be x

To find the indicated angle we use sine

sin ∅ = opposite / hypotenuse

From the question

7 is the hypotenuse

4 is the opposite

sin x = 4/7

x = sin-¹ 4/7

x = 34.85

x = 35° to the nearest degree

Hope this helps you

Answer:

16

Step-by-step explanation:

Area of circle Formula: A = πr²

d = 2r

Simply plug in what you know:

201.0624 = 3.1416r²

64 = r²

r = 8

d = 2(8)

d = 16

Answer:

The probability that exactly 30% of these 10 telephone users do not have landlines in their homes is 0.2668.

Step-by-step explanation:

We are given that a recent survey found that 30% of telephone users have switched completely to cell phone use (i.e. they do not have landlines in their homes).

A random sample of 10 of these customers is selected.

The above situation can be represented through binomial distribution;

[tex]P(X = r) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r}; x = 0,1,2,3,......[/tex]

where, n = number of trials (samples) taken = 10 customers

            r = number of success = 30% of 10 = 3

            p = probability of success which in our question is the probability

                  that telephone users do not have landlines in their homes,

                   i.e. p = 30%

Let X = Number of telephone users who do not have landlines in their homes

So, X ~ Binom(n = 10, p = 0.30)

Now, the probability that exactly 30% of these 10 telephone users do not have landlines in their homes is given by = P(X = 3)

           P(X = 3) =  [tex]\binom{10}{3}\times 0.30^{3} \times (1-0.30)^{10-3}[/tex]

                         =  [tex]120 \times 0.30^{3} \times 0.70^{7}[/tex]

                         =  0.2668

Answer:

10-xgigabytes=music

Step-by-step explanation:

Don't know what you mean by xgigabytes.

Answer:

Movies: x gig

pictures: x/2 gig

music:  10 - x - x/2 = 10 - (3/2)x

Answer:

Step-by-step explanation:

There are two distinct statements but put together, it is:

- If Maria Cantwell (MC) promotes Alternative Energy (AE) and if Patty Murray (PM) supports Wilderness Areas (WA) then Dianne Feinstein (DF) advocating Gun Control (GC), implies that Susan Collins (SC) does so too.

For Susan Collins, she advocates gun control too.

So the symbolic or algebraic representation is:

(SC = DF): (MC ~ AE), (PM ~ WA)

OR

(GC = GC): (MC ~ AE), (PM ~ WA)

Where ":" represents "such that" or "given that"

" ~ " represents "support or promotion of"

It can now be read thus;

Susan Collins has same or equal interest as Dianne Feinstein, given that Maria Cantwell promotes alternative energy and Patty Murray supports Wilderness Areas.

The equation of the tangent line to the curve at P(7, -2) is y = 2x -16.

For each given value of x, we substitute the coordinates of P and Q into the slope formula to find the slope mPQ.

(i) For x = 6.9:

mPQ = (2/(6 - 6.9) - (-2)) / (6.9 - 7)

= 2.22

(ii) For x = 6.99:

mPQ = (2/(6 - 6.99) - (-2)) / (6.99 - 7)

= 2.020

(iii) For x = 6.999:

mPQ = (2/(6 - 6.999) - (-2)) / (6.999 - 7)

= 2.002002

(iv) For x = 6.9999:

mPQ = (2/(6 - 6.9999) - (-2)) / (6.9999 - 7)

= 2.000200

(v) For x = 7.1:

mPQ = (2/(6 - 7.1) - (-2)) / (7.1 - 7)

= 1.818182

(vi) For x = 7.01:

mPQ = (2/(6 - 7.01) - (-2)) / (7.01 - 7)

= 1.980198

(vii) For x = 7.001:

mPQ = (2/(6 - 7.001) - (-2)) / (7.001 - 7)

= 1.998002

(viii) For x = 7.0001:

mPQ = (2/(6 - 7.0001) - (-2)) / (7.0001 - 7)

= 1.999800

By observing the pattern in the calculated slopes, we can see that as x approaches 7, the slope of the secant line PQ approaches 2.

Using the point-slope form, we have:

y - y₁ = m(x - x₁)

Substituting the values of P(7, -2), we have:

y - (-2) = 2(x - 7)

y = 2x -16

Therefore, the equation of the tangent line to the curve at P(7, -2) is y = 2x -16.

Learn more about the equation of the tangent line here:

https://brainly.com/question/31583945

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Answer:

a) 82

b) 97

Step-by-step explanation:

a) 354 - (95+95)

354 - 190

164

164 ÷ 2 = 82

(82+82+95+95=254)

b) 8439 cm^2 = 87x

8439 cm^2 ÷ 87 = 87x ÷ 87

97 = x

Answer:

1/3 feet.

Step-by-step explanation:

The length = area / width

= 7/9 / 2 1/3

= 7/9 / 7/3

= 7/9 * 3/7

= 3/9

= 1/3 feet,

Answer:

5

Step-by-step explanation:

firstly, what are complementry angles.complementary angles are angles that su

m up to 90°

(12x-18)+(5x+23)=90

collecting like terms

12x+5x+23-18=90

17x-5-90=0

17x-95=0

17x=95

divide through by 17

x=5

The measure of the smaller angle when complementary angles are given is 42 degree.

Complementary angles are two angles whose total is 90 degrees in geometry. In other terms, complimentary angles are two angles whose sum is 90 degrees. 60° and 30°, for instance.

The first angle of the triangle is (12x - 18).

The measure of the second angle of the triangle is (5x + 23).

As both angles are complementary, their sum would be equal to 90 degree.

(12x - 18) + (5x + 23) = 90

12x -  18 + 5x + 23 = 90

17x = 85

x = 5

Substitute the value of x = 5 in the given angles.

(1) 12x - 18 = 12×5 - 18

    = 42 degrees

(2) 5x + 23 = 5×5 +23

    = 48 degrees

Therefore, the smaller angle is found to be 42 degrees.  

To know more about angles with examples, here

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Answer:

answer B

Step-by-step explanation:

hello,

[tex]f(x)=x+1\\g(x)=5x \ \ so\\(fog)(-1)=f(g(-1))=f(-5)=-5+1=-4[/tex]

so the winner is the answer B

hope this helps

Answer:

D)  

(ƒ ∘ g)(–1) = –4

Step-by-step explanation:

Answer:

4/5 chance

Step-by-step explanation:

There are 4 numbers that fit the rule, 1, 3, 4, 5, since all of them are either odd or greater than 3. There will be a 4/5 chance of picking one.

Answer:

Step-by-step explanation:

This is because 5 is odd and greater than 3.

Also. 4 is greater than 3.

After that, the other odd numbers are 1 and 3

So the numbers are 1, 3, 4, and 5.

So 4 out of 5 numbers are counted in the circle.

In this way 4/5 is the answer.

Hope this helped!

Kavitha

Answer:

1/154440

Step-by-step explanation:

To calculate the probability it would be the quotient between 1 and the number of ways to choose 5 out of 13, but in this case the order matters, so it would be the permutation 13P5, therefore:

We know that:

nPr = n! / (n-r)!

we replace and we have:

13P5 = 13! / (13-5)! = 154440

The probability  that the rack ends up in alphabetical order is 1/154440

The probability that the rack ends up in alphabetical order is 1/154440

This is a question relating to permutation and combination. In order to calculate the probability, it would be the permutation 13P5, and this will be:

nPr = n! / (n-r)!

13P5 = 13! / (13-5)!

= 13! / 8!

= 13 × 12 × 11 × 10 × 9

= 154440

Therefore, the probability that the rack ends up in alphabetical order is 1/154440.

Read related link on:

https://brainly.com/question/6034318

Answer:

The length of the rectangle is [tex]\dfrac{ 1}{3} \text{ feet}[/tex] .

Step-by-step explanation:

The complete question is: The area of a rectangle is 7/9 square feet. The width of the rectangle is 2 1/3 feet. What is the length of the rectangle?

Let the length of the rectangle be represented as 'L' and the width of the rectangle be represented as 'W'.

As we know that the area of the rectangle is given by;

  Area of rectangle =  Length of rectangle [tex]\times[/tex] Width of rectangle

                                   Or

                       A  =  L [tex]\times[/tex] W

Here, we know the value of A = 7/9 square feet and W = 2 1/3 feet.

SO,        [tex]\frac{7}{9} = \text{L} \times 2\frac{1}{3}[/tex]

             [tex]\frac{7}{9} = \text{L} \times \frac{7}{3}[/tex]

              [tex]\text{L} = \frac{7\times 3}{9\times 7}[/tex]

              [tex]\text{L} = \frac{ 1}{3} \text{ feet}[/tex]

Hence, the length of the rectangle is [tex]\frac{ 1}{3} \text{ feet}[/tex] .

Answer:

S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}

Step-by-step explanation:

The sample space is the set of all possible outcomes in the experiment of rolling a six-sided die and then drawing a playing card and checking its color.

There are 6 possible outcomes for the die roll and two for the color of the card, which yields a total of 12 possible outcomes. The sample space is:

S = {1B, 2B, 3B, 4B, 5B, 6B, 1R, 2R, 3R, 4R, 5R, 6R}

Answer:

n = 5

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp/ adj

tan 30 = n/ 5 sqrt(3)

5 sqrt(3) tan 30 = n

5 sqrt(3) * 1/ sqrt(3) = n

5 = n

Answer:

63

Step-by-step explanation:

A composite number is an integer which can be found by mulitplying 2 smaller integers, 7 and 9 in this case

Answer:

42°

Step-by-step explanation:

AD is a line

AEC and DEC are both 90°

AEB and CEB make up 90°

AEB+CEB=AEC substitute

AEB+48=90 Next use Subtraction property of equality

AEB=42

Hope this helps, if so please give me brainliest, it helps a lot. :)

Have a good day!

Answer:

∠AEB=42

Step-by-step explanation:

∠AEB and ∠BEC are inside of ∠AEC.

∠AEC is a right angle, Since ∠AEC and ∠CED are on a straight line, they must add to 180 degrees. ∠CED is a right angle (the little square in the corner tell us this), so ∠AEC must also be a right angle. This is because a right angle is 90 degrees (∠CED+∠AEC=180 --> 90+∠AEC=180 --> ∠AEC=90)

Therefore, the 2 angles (AEB and BEC) inside of ∠AEC must add to 90 degrees.

∠AEB+ ∠BEC= 90

We know that ∠BEC=48

∠AEB+48=90

We want to find out what ∠AEB is. We must get ∠AEB by itself. 48 is being added, and the inverse of addition is subtraction. Subtract 48 from both sides.

∠AEB+48-48=90-48

∠AEB=90-48

∠AEB=42

Answer:

40%

Step-by-step explanation:

The numbers that are not even are 5 and 7.

2 numbers out of 5.

2/5 = 0.4

P(not even) = 40%

Answer:

[tex]40\%[/tex]

Step-by-step explanation:

5 and 7 are not the numbers

There are 5 numbers in the spinner

[tex]p = \frac{2}{5} \\ = \frac{2 \times 20}{5 \times 20} \\ = \frac{40}{100} \\ = 40\%[/tex]

Answer:

1. 8/4+ 3= 5

2. 5/(10/2)= 1

3. 5+10/2=10

4. 8/2+5x5= 29

5. 5+3/15+2= 10.15

6. 30+6x11-11= 25.11

7. 12 + (19+2) / 3 =19

Step-by-step explanation:

---------------------------------------------

Student name : Aparna Guha

Class : 8th

Division : B

School : St. John's Marhauli

Suggested subject : Maths

Work given on : 08 : 07 : 2020

Completed on : 08 : 07 : 2020

Posted on : 08 : 07 : 2020

Topic : Worksheet 1

Teacher's name : Manish Goel

School name : St. John's Marhauli

----------------------------------------------

Answer:

so x=5 1/3 and

y= -2 2/3

Step-by-step explanation:

x-3y= -2x+3y=16. First we need to move all variables to one side of the equation and whole numbers to the other side of the equation. I see

x-3y+2x-3y=16. -3y-3y equals to -6y. 2x+x=3x. so 3x-6y=16. Lets take out the -6y so our equation would be 3x=16. x would equal 5 1/3. Now lets put back -6y into our equation. Let's now substitute x as 0. 3 times 0 equals 0 so our equation would now be -6y=16 which equals to -2 2/3.

so x=5 1/3 and

y= -2 2/3

Answer: ( x = -32, y = -16 )

Step-by-step explanation:

This can be represented by the three sides of an equilateral triangle.

x - 3y = -2x + 3y , simplify

x + 2x - 3y - 3y = 0

3x - 6y =0

x - 2y = 0 ---------------------- 1

x - 3y. = 16 ---------------------2

Solve using any methods

By elimination

y. = -16.

Substitute for y in any of the equations

x - 2y = 0

x. - 2(-16) = 0

x + 32 = 0

Therefore

x. = -32

Solution is ( -32, -16 )

Answer:

The  polar form  is  sinθ  = 2 r³cos⁴θ

Step-by-step explanation:

Explanation:-

Given function y = 2 x⁴

Parametric Form  x = r cosθ ....(i)

                     and y = r sinθ ....(ii)

            squaring  x² = r² cos ²θ

                            y² = r² sin²θ

         adding   x² +  y² = r² cos ²θ+r² s in²θ

                                    =  r²( cos ²θ+s in²θ)

                                   =  r²( 1)

                     x² +  y² =    r²

Given function y = 2 x⁴

Now convert into polar form

                        r sinθ  = 2 (r cos θ )⁴

                         r sinθ  = 2 (r )⁴cos θ )⁴

                           sinθ  = 2 r ³cos⁴θ

Answer:

Ima need the answer too

Step-by-step explanation:

Answer:

the genre

Step-by-step explanation:

Answer:

b = 0

Step-by-step explanation:

The standard form of a regular quadratic equation is ax² + bx + c and the standard form of the difference of squares is ax² - c. This means that b = 0 because there is no x term.

Answer:

[tex](x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))[/tex]

Step-by-step explanation:

The first step to this problem is to look at the key features of the initial expression given to us. Namely, the middle term.

Notice that it is just [tex]+6x[/tex]. This indicates that the square root terms cancel out, meaning that their signs need to be opposite, but the threes need to have the same, positive sign. This indicates that our answer is option C, but you should always double check by multiplying the expression out to confirm. Here are the steps:

[tex](x+(3+\sqrt{11}i)) (x+(3-\sqrt{11}i))[/tex]

[tex]x^{2} +(3+\sqrt{11}i)x+(3-\sqrt{11}i)x+(3+\sqrt{11}i)(3-\sqrt{11}i)[/tex][tex]x^{2}+3x+\sqrt{11}ix+3x-\sqrt{11}ix+9+3\sqrt{11}i-3\sqrt{11}i-(\sqrt{11})^{2}(i^{2})[/tex][tex]x^{2}+6x+9-(11)(-1)[/tex]

[tex]x^{2}+6x+9+11[/tex]

[tex]x^{2}+6x+20[/tex]

Therefore as we suspected, the answer is C.