joey and his 4 friends went out to eat they decided to split the bill evenly Each person paid 11.13. What was the total bill? write an equation you could use to solve this equation. Use d as your variable.​

Answer:

[tex]y(x)=-\frac{3}{4}-\frac{1}{2}x-\frac{1}{2}x^2+\frac{2}{3}e^{-2x}+\frac{1}{12}e^x[/tex]

Step-by-step explanation:

[tex]y''+y'-2y=x^2,\: y(0)=0,\: y'(0)=0\\\\\mathcal{L}\{y''\}+\mathcal{L}\{y'\}-2\mathcal{L}\{y\}=\mathcal{L}\{x^2\}\\\\s^2Y(s)-sy(0)-y'(0)+sY(s)-y(0)-2Y(s)=\frac{2}{s^3}\\ \\s^2Y(s)+sY(s)-2Y(s)=\frac{2}{s^3}\\ \\(s^2+s-2)Y(s)=\frac{2}{s^3}\\ \\Y(s)=\frac{2}{s^3(s^2+s-2)}\\ \\Y(s)=\frac{2}{s^3(s+2)(s-1)}[/tex]

Perform the partial fraction decomposition

[tex]\frac{2}{s^3(s+2)(s-1)}=\frac{A}{s}+\frac{B}{s^2}+\frac{C}{s^3}+\frac{D}{s+2}+\frac{E}{s-1}\\\\2=s^2(s+2)(s-1)A+s(s+2)(s-1)B+(s+2)(s-1)C+s^3(s-1)D+s^3(s+2)E\\\\2=s^{4} A + s^{4} D + s^{4} E + s^{3} A + s^{3} B + 2 s^{3} D - s^{3} E - 2 s^{2} A + s^{2} B + s^{2} C - 2 s B + s C - 2 C\\\\2=s^{4} \left(A + D + E\right) + s^{3} \left(A + B + 2 D - E\right) + s^{2} \left(- 2 A + B + C\right) + s \left(- 2 B + C\right) - 2 C[/tex]

Solve for each constant

[tex]\begin{cases} A + D + E = 0\\A + B + 2 D - E = 0\\- 2 A + B + C = 0\\- 2 B + C = 0\\- 2 C = 2 \end{cases}[/tex]

[tex]-2C=2\\C=-1[/tex]

[tex]-2B+C=0\\-2B+(-1)=0\\-2B-1=0\\-2B=1\\B=-\frac{1}{2}[/tex]

[tex]-2A+B+C=0\\-2A+(-\frac{1}{2})+(-1)=0\\-2A-\frac{1}{2}-1=0\\-2A-\frac{3}{2}=0\\-2A=\frac{3}{2}\\ A=-\frac{3}{4}[/tex]

[tex]A+D+E=0\\-\frac{3}{4}+D+E=0\\D+E=\frac{3}{4}\\D=\frac{3}{4}-E[/tex]

[tex]A+B+2D-E=0\\-\frac{3}{4}+(-\frac{1}{2})+2(\frac{3}{4}-E)-E=0\\-\frac{3}{4}-\frac{1}{2}+\frac{3}{2}-2E-E=0\\-\frac{3}{4}+1-3E=0\\\frac{1}{4}-3E=0\\\frac{1}{4}=3E\\\frac{1}{12}=E[/tex]

[tex]D=\frac{3}{4}-E\\D=\frac{3}{4}-\frac{1}{12}\\D=\frac{9}{12}-\frac{1}{12}\\D=\frac{8}{12}\\D=\frac{2}{3}[/tex]

Take the inverse transform and find the solution to the IVP

[tex]Y(s)=\frac{-\frac{3}{4}}{s}+\frac{-\frac{1}{2}}{s^2}+\frac{-1}{s^3}+\frac{\frac{2}{3}}{s+2}+\frac{\frac{1}{12}}{s-1}\\ \\y(x)=-\frac{3}{4}-\frac{1}{2}x-\frac{1}{2}x^2+\frac{2}{3}e^{-2x}+\frac{1}{12}e^x[/tex]

Answer:

E

Step-by-step explanation:

ab is sometimes rational

Answer:

A,C,D,

Step-by-step explanation:

Answer:

c po

Step-by-step explanation:

kasi between 5 days and 7 days in recovery

Answer:

x = 2.52 gallons. It is best that she buy 3 gallons of paint.

Step-by-step explanation:

Wall 1 & 2 : 26 ft by 9 ft

Wall 3 : 18 ft by 9 ft

Area 1 : 26 ft x 9 ft = 234 ft²

Area 2 : 26 ft x 9 ft = 234 ft²

Area 3 : 18 ft x 9 ft = 162 ft²

Total Area : 234 ft² + 234 ft² + 162 ft² = 630 ft²

1 Gallon = 250 ft²

630 ft² ÷ 250 ft² per gallon = 2.52 gallons

Amelia will need 2.52 gallons of paint to cover the wall space of 630 ft^2

Answer:

-5

Step-by-step explanation:

f (x) = 4 - x^2

f (-3)= 4 - (-3)^2

= 4 -(9)

= -5

Answer:

-5

Step-by-step explanation:

f(-3) =4-(-3)^2

=4-9

= -5

Step 1:

[tex]97+(-27)+(-89)+(-54)[/tex]

Step 2:

[tex] = 97 - 27 - 89 - 54[/tex]

Info:

(+) ×(-)=-

Step 3:

[tex] = 97 - 170[/tex]

Step 4:

[tex] = - 73✓[/tex]

Answer:

Step-by-step explanation:

97+(-27)+(-89)+(-54)= -73

When ethically investing, Taylor should consider qualitative and quantitative data.

Quantitative data is anything that can be counted or measured whereas qualitative data is descriptive,

Ethical investing is a strategy where an investor chooses investments based on a personal ethical code. Hence ethical investing is done using quantitative data such as cost and profit to be made. Also, the qualitative data involved are the type of investment if it is based on the persons ethics.

Find out more on Quantitative and qualitative data at: https://brainly.com/question/4095022

Answer:D

Step-by-step explanation:just got it right

Answer:

(7P+1)X^2+(5P-1)X+P=1. (7P+1)X^2+(5P-1)X+P-1=0

The quadratic will have equal roots it its discriminant = 0

Answer:

1/4

Step-by-step explanation:

36x=32x-1

We move all terms to the left:

36x-(32x-1)=0

We get rid of parentheses

36x-32x+1=0

We add all the numbers together, and all the variables

4x+1=0

We move all terms containing x to the left, all other terms to the right

4x=-1

x=-1/4

x=-1/4

Excuse me, sorry for using up your points, but what are the statements?

Area of base:-

Now

Volume:-

Answer:

the answer is 54 that person is correct i just took the quiz and got 100% to

Step-by-step explanation:

Answer:

a. 3.4t (miles)

b. 2.125 miles

c. t = 1.6 hours

Step-by-step explanation:

A) We use this relation: Distance = time * speed ( speed or vitesse or rate)

So d= 3.4*t= 3.4t (miles)

B) If t= 5/8

then the distance d= 3.4* 5/8= 2.125 miles.

C) If the distance d= 5.44, we can find the time like:

d= 3.4*t, and we know d=5.44

so 5.44= 3.4*t or t = 5.44/3.4, t= 1.6 hours

Hope you understand it.

Answer:

112.8

Step-by-step explanation:

to round 112.786 to the nearest tenth consider the hundredths value of 112.786 is 8 and equal or more than 5. Therefore, the tenths value of 112.786 (which is 7) increases by 1 to 8  , so 112.786 rounded to the nearest tenth =112.8

The value of the given expression is 112.8.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

To round 112.786 to the nearest tenth consider the hundredths value of 112.786 is 8 and equal to or more than 5. Therefore, the tenths value of 112.786 (which is 7) increases by 1 to 8, so 112.786 rounded to the nearest tenth =112.8

Therefore the value of the given expression is 112.8.

To know more about expression follow

https://brainly.com/question/723406

#SPJ2

Answer:

7/10

Step-by-step explanation:

4,5,6,7,8,9,10

7 numbers counting four so 7/10

Answer:

511.44 ft^2

966 cm^2

50.88 mm^2

Step-by-step explanation:

6. 196π-13x8=511.44

7. (20+20+12+12)20-100π=966

8. 15x8-1/2(16π)-4x11=50.88

Answer:

$6,482.30

Step-by-step explanation:

150 x 40 (hours per week) = $6,000

6,890 x .07 = $482.30

6,000 + 482.30 = $6,482.30

Step-by-step explanation:

In this case the vertex is a maximum since it's in the shape of a hill not a valley. Vertex is (0,4)

Answer:

Maximum

Step-by-step explanation:

It is the maximum of the graph because it is the highest (MAXIMUM) point on the graph that the line reaches. If it were upside down, and the vertex was at the bottom and was the lowest point of the line, then it would be the minimum.

a. The five-number summary of the data would be:

Minimum: 23; Quartile Q1: 29; Median: 33; Quartile Q3: 42; Maximum: 51

b. The box plot for the data set is given in the diagram attached below.

c. The distribution of the scores based on the box plot is positively skewed.

A box plot represents a data distribution showing the five-number summary which includes, min and max values, lower and upper quartile, and median of the data distribution.

Given the data set:

33, 38, 43, 30, 29, 40, 51, 27, 42, 23, 31

a. The five-number summary of the data would be:

Minimum: 23

Quartile Q1: 29

Median: 33

Quartile Q3: 42

Maximum: 51

b. The box plot for the data set is given in the diagram attached below.

c. The box plot shows that the median is closer to the bottom of the rectangular box, therefore, the distribution of the scores based on the box plot is positively skewed.

Learn more about box plot on:

https://brainly.com/question/14277132

i think is it So if it is

Though the box plot is not given, the truth about the data set represented by the box plot is removing the outliers would not affect the median.

A box plot gives a graphical (rectangular) representation of statistical data based on the following five values: minimum, first quartile, median, third quartile, and maximum.

Essentially, a box plot has the following five data descriptions:

Thus, the truth about the data set represented by the box plot is removing the outliers would not affect the median.

Learn more about the box plot at https://brainly.com/question/14277132

Answer:

78.54 yd squared

Step-by-step explanation:

3.14(2.5^2)4

3.14(6.25)4

(19.625)4

78.54

Have a great day!!

Please rate and mark brainliest!!!

Answer:

Below.

Step-by-step explanation:

Total payment = 1800 * 30 * 12 = 648,000.

Interest = 448,000.

Heather should have to pay total of $648,000 to the bank and Interest Heather will pay to the bank is $448,000.

Interest is the price you pay to borrow money or cost you charge to lend money. Interest can be calculated by total amount you paid after a specific time period minus the total amount you borrowed.

Heather borrowed $200,000 from a bank over a period of time 30 year.

30 year = 12×30monts

              =360 months

Now, The monthly payment to the bank is = $1800

Therefore total payments in 360 months is = 360×$1800

                                                                       =$648,000

Bank Interest = $648,000 - $200,000

                      =$448,000

Hence , Heather total interest after 30 years will be =$448,000

To learn more about interest click here:

https://brainly.com/question/27093871

#SPJ2

Answer:

10x6

1x5

.1x9

.01x4

.001x9

Step-by-step explanation:

Answer:

(- 21, - 13 )

Step-by-step explanation:

- 3y + x = 18 → (1)

x = 2y + 5 → (2)

substitute x = 2y + 5 into (1)

- 3y + 2y + 5 = 18

- y + 5 = 18 ( subtract 5 from both sides )

- y = 13 ( multiply both sides by - 1 )

y = 13

substitute y = - 13 into (2)

x = 2(- 13) + 5 = - 26 + 5 = - 21

solution is (- 21, - 13 )