find the unit rate of $36 : 1/2 hour

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

Given function is,f(t) ={ t, 0 < t < π π < t < 2π}

where f(t + 2 π) = f(t)

Let's take Laplace Transform of f(t)

                     L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)

∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}

     ⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0

when e^{2πs} ≠ 1 ⇒ s ≠ 0

∴ The Laplace Transform of f(t) is

                       L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                               = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...

                              = (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

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Answer:

y-5=6*(x+2)

Step-by-step explanation:

Answer:

y-5=6(x--2)

The formula for point slope form is: y-y1=m(x-x1)

The correct equation would be:

0b. A = 240 - 4h

Explanation:

If Clayton can plow 4 acres per hour, the number of acres he can plow in 'h' hours would be 4h.

Therefore, the number of acres left to plow would be the total number of acres (240) minus the number of acres he has already plowed (4h).

Hence, the equation that represents the number of acres left to plow would be A = 240 - 4h.

Answer:

A

Step-by-step explanation:

Take test score from Test 1 and add them all together and divide by the number of test

ex) 77+82+69+85+93=406

    406/5= 81.2

Then repeat with Test 2

ex) 75+76+71+68+72=362

    362/5= 72.4

Therefore the MAD of Test 1 > MAD of Test 2

the answer is A.

Step-by-step explanation:

Add the test scores of the first test together then add the test scores of the second test together then compare and contrast.

Answer: The percentage of the tub after 6 minutes is 30 %

Step-by-step explanation: The  calculation can be done as follows

1 minutes= 4 gallons

6 minutes= 4×6

= 24 minutes

If the bathtub can hold 80 gallons of water then the percentage of the tub after 6 minutes can be calculated as follows

= 24/80

= 0.3 × 100

= 30 %

Hence the percentage of the tub will be filled after 6 minutes is 30 %

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Based on the information given, it should be noted that the equation that will given the value of 44 include n + 38, 2n + 32, etc.

It should be noted that your information is incomplete. Therefore, an overview of an equation will be given.

To solve this question, you simply have to replace n by 6. For example, let's say the equation given is:

= n + 38

= 6 + 38

= 44.

Also, 2n + 32

= 2(6) + 32

= 12 + 32

= 44

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We have to find out such expressions for the value of n which equals to 6 i.e (n = 6) and their sum tends to 44. So let's basically consider or form any expression of your choice it may be of multiplication, division, Subtraction it either addition. For example, 3n + 26, 5n + 14 gives their final value equal to = 4.

#1) 3n + 26

=> 3 × 6 + 26

=> 18 + 26

=> 44

#2) 5n + 14

=> 5 × 6 + 14

=> 30 + 14

=> 44

#3) 8n - 4

=> 8 × 6 - 4

=> 48 - 4

=> 44

#4) 7n + 2

=> 7 × 6 + 2

=> 42 + 2

=> 44

#5) 10n - 16

=> 10 × 6 - 16

=> 60 - 16

=> 44

Answer:

1 4/6

Step-by-step explanation:

Answer:

I got 0.66

Step-by-step explanation:

If the perimeter of the regular hexagon equals to the perimeter of an equilateral triangle then the area of the hexagon is 18.

A hexagon can be be known as a polygon that has six sides and angles. Regular hexagons have six equal sides and angles and are composed of six equilateral triangles. first we have to write down the formula for finding the area of a hexagon if you know the side length. Since a regular hexagon is comprised of six equilateral triangles, the formula for finding the area of a hexagon is derived from the formula of finding the area of an equilateral triangle.

Let a be the side of equilateral triangle ∴ \(\sqrt{3}\) /4 \(a^{2}\) = 12

Perimeter of triangle = 3a = Perimeter of Hexagon

3a=6h ,where h is the side of hexagon.

⇒ h = 1/2 a

The area of the hexagon =6× \(\sqrt{3}\)/4 \(h^{2}\)

=6× \(\sqrt{3}\)/4 . ( a/2 ) 2 =  6/4 ×12

= 18

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Answer:

65?..................

STEP BY STEP EXPLANATION:

4=86⁰ because the lines are parallel.

49⁰+86⁰=180

135=180

180-135

45

5=45⁰

2=49⁰ BECAUSE THE LINES ARE PARALLEL

NOW FOR ANGLE 1

45+86

131

as A & B ARE PARALLEL SO

1=131⁰

HOPE IT HELPS ;)

The solution of given inequalities are x > -3 and x ≤ 5.

When resolving an inequality, you can do one of the following: add the same amount to each side; deduct the same amount from each side; multiply or divide each side by the same positive amount. You must flip the inequality sign if you multiply or divide each side by a negative number.

Given inequalities are 2x - 5 > -11 and -10x - 6 ≥ 44.

To solve the first inequality,

2x - 5 > -11

Adding 5 on both sides,

2x - 5 + 5 > -11 + 5

2x > -6

Divide both sides by 2,

x > -3

To solve the second inequality,

-10x - 6 ≥ 44

Adding 6 on both sides,

-10x - 6 + 6 ≥ 44 + 6

-10x ≥ 50

Divide both sides by -10, and change the inequality sign

x ≤ 5

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Answer: let's see... the coefficient of a number is Placed in front of a variable like 2y. so it's 2y

Step-by-step explanation: your welcome

Answer:

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = - 120\)

Step-by-step explanation:

By the rule of Integer multiplications,

\((-1) \times (-2) \times (-3) \times (-4) \times (-5) = [ (-1) \times (-2) ] \times [(-3) \times (-4)] \times (-5)\)

                                                      \(= [2] \times [12] \times (-5)\)

                                                      \(= -120\)

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The amount you could save per month would be 25% of your discretionary money.

Discretionary income is the money you have left over after paying taxes and necessary cost-of-living expenses.

The formula for discretionary money is: Discretionary money = Realized income - Fixed expenses. Inputting data, we have: Discretionary money = $3,543.22 - Fixed expenses

Amount to be saved = 25% of discretionary money

Amount to be saved = 0.25 * (Realized income - Fixed expenses)

Therefore, the amount savable is calculated as 0.25 times the difference between your realized income and fixed expenses.

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Answer:

see explanation

Step-by-step explanation:

given WX ≅ XY , then

6x - 77 = 3x + 4 ( subtract 3x from both sides )

3x - 77 = 4 ( add 77 to both sides )

3x = 81 ( divide both sides by 3 )

x = 27

Then

WX = 3x + 4 = 3(27) + 4 = 81 + 4 = 85

so WX = XY = 85

WY = 5x - 31 = 5(27) - 31 = 135 - 31 = 104

Step-by-step explanation:

reduce -28<4w-8

-7<w-2

add +2

-7+2<w-2+2

-5<w

w>-5

Answer:

See below ~

Step-by-step explanation:

Solving the inequality :

Evaluating the given numbers :

-5

5

-9

-1

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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Answer:

Step-by-step explanation:

The perimeter of a parallelogram ABCD IS 92cm. AD is 1cm more than twice AB. Find the lengths of all four sides of ABCD

~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let x = |AD|   (the length of the side AD).

Let y = |AB|   (the length of the adjacent side AB).

Then

2x + 2y = 92   (the perimeter)

x - 2y = 1    ("AD is 1cm more than twice AB.")

Add the two equations (both sides) and get

3x = 92 + 1  --->  3x = 93  --->  x = 93/3--->  x = 31.

Then from the second equation  2y = x - 1 = 30-1 = 30.

Hence, y = 30/2 = 15.

Answer. The sides of the parallelogram are 31, 15, 31 and 15 cm long.

Doug made sales worth A. $3,200 in the last week.

What is the percentage?

A percentage is a value divided by a hundredth. By dividing the percentage value by a hundred, you can convert it to decimals and fractions.

Given, Doug is a salesperson in a retail store and earns $75 per week,

Plus 15% of his weekly sales.

Doug makes $555 one week,

∴ He made $(555 - 75) = $480.

So, $480 is 15% of his weekly sales, Assuming he made sales worth $x.

∴ 15% of x is $480.

(15/100)×x = 480.

0.15x = 480.

x = 480/0.15.

x = 3200.

Doug made sales worth A. $3,200 in the last week.

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Answer:

Steps:

SA = 2(L×W) + 2(H×L) + 2(H×W)

given:

L = 9 cm

W = 4 cm

H = 7 cm

SA = 2(9×4) + 2(7×9) + 2(7×4)

SA = 2×36 + 2×63 + 2×28

SA = 72 + 126 + 56

SA = 254 cm²

Answer:

2/3=-1/3x+7

-19/3.-3=x

19=x

x=19

Answer:

It would be the second option...

Hope this helps:)

Answer: The x-intercept of the line below would be (1,0).  

Step-by-step explanation: The reason this would be the x-intercept is because the dot that is on the x-axis is on the number 1 and the number that this dot leads to on the y-axis is 0. Hope this helps!

Answer:

5/6

Step-by-step explanation:

Explanation:

We first let 0.83 (3 being repeated) be  

x

.

Since  

x

is recurring in 1 decimal places, we multiply it by 10.

10

x

=

8.33

Next, we subtract them.

10

x

−

x

=

8.33

−

0.83

9

x

=

7.5

Lastly, we divide both sides by 9 to get  

x

as a fraction.

x

=

7.5

9

=

75

90

=

5

6

The solution is, 5/6, when convert 0.83 repeating to a fraction.

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

Explanation:

We first let 0.83 (3 being repeated) be x.

Since,

x is recurring in 1 decimal places, we multiply it by 10.

10x=8.33

Next, we subtract them.

10x−x=8.33−0.83

9x=7.5

Lastly, we divide both sides by 9 to get  x

as a fraction.

x=7.5/9

=75/90

=5/6

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The distance between the centers of the two circles located inside angle BAC is equal to the length of the angle bisector of angle BAC.

In triangle ABC, let D be the point where the incircle of triangle ABC is tangent to side BC.

Since the two circles in question are tangent to rays AB and AC, as well as segment BC, they are both internally tangent to angle BAC.  

∴The centers of these circles lie on the angle bisector of angle BAC.

By the Incenter-Excenter Lemma, the distance between the centers of the two circles is equal to the length of the angle bisector of angle BAC. To find this length, apply the Angle Bisector Theorem.

The length of the angle bisector is given by:

AD = \(\frac{(BC X AB)}{(AB + AC)}\)

Substituting the given values,

AD =  \(\frac{(15 X 13)}{(13 + 14)}\)   = \(\frac{195}{27}\)

Hence, the distance between the centers of the two circles is \(\frac{195}{27}\) units.

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Answer:

The answer is

2.4z+1.2z=0.7+6.5.

3.6z=7.2.

z=7.2/36.

z=2

Answer:

480

Step-by-step explanation:

First, lets solve for the area of the 3 rectangles in the prism

One can be found by doing 17*9. The other, 8*9, the last 15*9

Next, lets solve for the 2 triangles. This is found with...

1/2(8)(15). This turns out to be 60, and we multiply that by 2 since there are 2 of those triangles.

Add everything up:

72+153+135+120 = 480