a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35
Answer:
a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35. Just like jpforpresident146788 said.
calc 3 iiiiiiiiiiiiiiiiiiiiiiiiiiii
Take the Laplace transform of both sides:
L[y'' - 4y' + 8y] = L[δ(t - 1)]
I'll denote the Laplace transform of y = y(t) by Y = Y(s). Solve for Y :
(s²Y - s y(0) - y'(0)) - 4 (sY - y(0)) + 8Y = exp(-s) L[δ(t)]
s²Y - 4sY + 8Y = exp(-s)
(s² - 4s + 8) Y = exp(-s)
Y = exp(-s) / (s² - 4s + 8)
and complete the square in the denominator,
Y = exp(-s) / ((s - 2)^2 + 4)
Recall that
L⁻¹[F(s - c)] = exp(ct) f(t)
In order to apply this property, we multiply Y by exp(2)/exp(2), so that
Y = exp(-2) • exp(-s) exp(2) / ((s - 2)² + 4)
Y = exp(-2) • exp(-s + 2) / ((s - 2)² + 4)
Y = exp(-2) • exp(-(s - 2)) / ((s - 2)² + 4)
Then taking the inverse transform, we have
L⁻¹[Y] = exp(-2) L⁻¹[exp(-(s - 2)) / ((s - 2)² + 4)]
L⁻¹[Y] = exp(-2) exp(2t) L⁻¹[exp(-s) / (s² + 4)]
L⁻¹[Y] = exp(2t - 2) L⁻¹[exp(-s) / (s² + 4)]
Next, we recall another property,
L⁻¹[exp(-cs) F(s)] = u(t - c) f(t - c)
where F is the Laplace transform of f, and u(t) is the unit step function
[tex]u(t) = \begin{cases}1 & \text{if }t \ge 0 \\ 0 & \text{if }t < 0\end{cases}[/tex]
To apply this property, we first identify c = 1 and F(s) = 1/(s² + 4), whose inverse transform is
L⁻¹[F(s)] = 1/2 L⁻¹[2/(s² + 2²)] = 1/2 sin(2t)
Then we find
L⁻¹[Y] = exp(2t - 2) u(t - 1) • 1/2 sin(2 (t - 1))
and so we end up with
y = 1/2 exp(2t - 2) u(t - 1) sin(2t - 2)
- Alto and Sheryl both worked hard over the summer. Together they earned a total of $475. Sheryl earned $25 more than Alto. (a) Write a system of equations for the situation. Use s for the amount Sheryl earned and a for the amount Alto earned. a (b) Graph the equations of the system on the graph provided on the next page. a. Note: Insert->Shape will allow you to add lines, draw dots, and otherwise insert shapes in both Microsoft Word and LibreOffice. The graph should be big enough for you to easily plot points using this method. b. If you do not want to graph using the drawing tools built into Microsoft Word or LibreOffice you may also print out, graph by hand, and scan the page. Please note it's perfectly okay to upload multiple files. (c) Use Elimination or Substitution to solve the system. (d) Use your graph to estimate how much each person earned, check your work with part C, and explain your results in complete sentences. Answer:
pls hurry its due tomorrow
Answer:
s = 250
a = 225
Step-by-step explanation:
Because they both earned a total of 475 dollars, the total amount of the two is 475. Because a represents Alto's earnings, and s represents Sheryl's earnings, we have [tex]a+s=475[/tex]
Sheryl also earned 25 more dollars than Alto, so the value of s is 25 larger than a: [tex]s=a+25[/tex]
By graphing, we can let s = y and a = x, so we have the following equations:
[tex]x + y=475\\y=x+25[/tex]
Plugging this into Desmos, we have this: (look at screenshot uploaded)
We see that y, or Sheryl's amount is around 250, and x, or Alto's amount is in the middle of 200 and 250, roughly about 225.
Now, we can solve for a and s. Because the value of s is equal to a + 25, we can represent s as a + 25 in the first equation: [tex]a + (a + 25) = 475[/tex]. Combining like terms, we have [tex]2a+25=475[/tex], and [tex]2a = 450[/tex]. Dividing, we have [tex]a = 225[/tex], and since s is 25 more than 225, we have [tex]s = 250[/tex]
The amount we estimated was around what we solved for. We found that the solution, or the value where both cases are true is around 250 and 225 for Sheryl and Alto's earnings.
Write a story that can be representd by the equation y=x+1/5x
Answer:
I sorry but I don't get this question
Please help. NEED THE ANSWER SOON AS POSSIBLE.
Answer:
y=4x-17
Step-by-step explanation: Distribute the 4(x-5)
4x-20
Then add three to both sides
y=4x-17
On a family trip to Oman, Tarek drove 300 km in 5 hours. This is an example of a unit rate or a rate? Please tell the correct answer.
Answer:
300 km in 5 hours is the rate
unit rate is how much in one unit
in this case the unit is one hour
60km / hour
64/ 896 neeed to use dividing decimals
Multiply. Write your answer as a fraction in simplest form.
2x7/16
Answer:
7/8
Step-by-step explanation:
7/16×2=7/16×2/1
=14/16
=7/8
Write in order least to greatest!
Hello! :)
√99=9.95...
π²=9.9
9.8888...
So I think the numbers should be written like this:
9.8888, √99, π²
Hope it helps!
~Just a determined gal
[tex]MysteriousNature[/tex]
Jamal cut a piece of wood that is 2 1/3 feet long into 1/6 foot sections. How many sections will he get
Answer:
14 sections
Step-by-step explanation:
2 1/3=7/3
7/3 divided by 1/6 is nothing but 7/3*6, which is just 14
1.5 - x
0.4 = - 7.75
Answer:−0.6
Step-by-step explanation:
(-1).3/5=−0.6
sooooooooooooooooooooooooooooooo who wants to help with my math
Answer:
I will what is the question?
Answer:
What is the question lol
Step-by-step explanation:
I can try to help!
What is the measurement of the angle shown below?
Answer:
The correct answer is (c) 30°
Hope it helps
A car of the year 2020 is topped with 25% of its price. If the list price says $ 25,000, what will the discounted price be?
Answer:
is he a business man or something
Use the slope formula to determine the slope of the line containing the two points. Type your answer as an integer or reduced fraction in improper form if necessary.
Answer:
The slope is:
[tex] \binom{1}{2} [/tex]
In slope-intercept form the equation is:
[tex]y = \binom{1}{2} x - 3[/tex]
find the slope from the pair of the points
(-3,-4) (1,5)
Answer:
2.25
Step-by-step explanation:
m = 9 / 4 = 2.25
points belong to an increasing, linear function.
Equation: y = 2.25x + 2.75.
BRAINLIEST?
please calculate these angles
Answer:
b=114°
.....................
c=43°
Answer:
A) 87 degrees
B) 114 degrees
C) 43 degrees
What are some of the consequences the employee face
Answer:
rude customers and complaints
Answer:
Ignorant managers.
Step-by-step explanation:
Ignore them
Find somewhere else to move.
ASAP please!! What is the best approximation for one of the relative minimums of the
polynomial function graphed below?
Answer: C
Step-by-step explanation: Brainliest please
What's
9/10 + (-3) in simplest form
Reduce the expression, if possible, by cancelling the common factors.
Exact Form: [tex] \:- \frac{3}{10} \\ [/tex]
Decimal form[tex] \: \:- 0.3[/tex]
the following points lies in the solution set of the system of inequalities shown graphed below?
A. (1, 0)
B. (2, 2)
C. (-4, 0)
D. (2, -4)
Can someone help me please I’ve been stuck for a week :(
Answer:
8/25.
Step-by-step explanation:
As a fraction it is 32/100 but simplified is 8/25 :)
There are 550 calories in 100 g of bacon. There are 196 calories in a fried egg. Philip has 60 g of bacon and two fried eggs for breakfast. Work out the total number of calories in this breakfast.
Answer:
509.6 calories
Step-by-step explanation:
196+196=392 calories
10g of bacon=19.6 calories
60g of bacon=19.6×6=117.6 calories
392+117.6=509.6 calories
solve pls brainliest
Answer:
4/12 > simplified to > 1/3
Step-by-step explanation:
hope it helps
14 - (-10)
Perform the indicated operation
Answer:
14 - (-10) = 24Step-by-step explanation: 14 - (-10) (-10)= 10 14 + 10 = 4
A local high school has both male and female students.
Each student either plays a sport or doesn't.
The two-way table summarizes a random sample of 70 students.
Female
Male
No sport
10
7
Sport 32 21
Let no sport be the event that a randomly chosen student (from the table) does not play a sport.
Let male be the event that a randomly chosen student (from the table) is male.
Find the following probabilities. Write your answers as decimals.
(a) P(male) = 0
(6) P(no sport and male) = 0
(c) P(no sport male) = 0
Answer:
a. P(male) = 0.4
b. P(no sport and male) = 0.1
c. Unclear question (isn't it the same as b.?)
Step-by-step explanation:
The data below is what I've worked according to, which isn't very clear from the question so the answers are only correct if this is the correct table of data;
[tex]\left[\begin{array}{ccc}&No \ Sports&Sports\\Female&10&32\\Male&7&21\end {array}\right][/tex]
a.
[tex]P(male) = \frac{7 + 21}{70} \\\\ = \frac{28}{70} \\\\ = \frac{2}{5}[/tex]
b.
Using the tree diagram in the picture;
[tex]P(no \ sport \ and \ male) = \frac{2}{5} * \frac{1}{4} \\\\ = \frac{1}{10}[/tex]
What are the coordinates of point Q?
How many units below the x-axis is point Q?
Will point Q' be above or below the x-axis?
How many units above or below the x-ax will it be?
Does reflection across the x-axis change the x-coordinates? If yes, how?
Does reflection across the x-axis change the y-coordinates? If yes, how?
What are the coordinates of point Q?
What are the coordinates for the other vertices of Q'R'ST?
R’
S’
T’
Draw figure Q’R’S’T’ on the coordinate plane and label the pints at the vertices
Answer:
Q (-4, -2); 2 units; Q' will be above the x-axis; 2 unites; no; yes, the y coordinates are multiplied by -1; Q' (-4, 2); R' (-2, 2), S' (1, 5), T' (-2, 5);
Step-by-step explanation:
even after a reflection over the x-axis, each points distance from the x-axis will stay the same
the x-coordinates don't change because the distance from the y-axis stays the same
the picture below shows points of Q'R'S'T', just connect the vertices
[tex]Simplify: 5 1/12 - 2 3/4 =[/tex]5 1/12 - 2 3/4 =
Answer:
51/12 - 23/4
find the LCM of 12 and 4
51-69/12= -18/12= -9/6 = -3/2 = -1.5
For BOTH Bruce and Felicia, graph a line to represent y, the area each person covered using x tiles.
The tiles that Bruce used were each 1/4 of a square foot in area. The table shows the area covered by Felicia’s tiles in terms of the number of tiles used.
Number of tiles Area covered
6 1
12 2
18 3
Bruce and Felicia want to know whose tiles cover the most area per tile.
If the area each person covered using x tiles. Bruce's tiles cover the most area per tile.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the tiles that Bruce used were each 1/4 of a square foot in the area and a table shows as,
Number of tiles(y) 6 12 18
Area covered (x) 1 2 3
Felicia tile's relationship between the number of tiles and the area covered is,
(1/6) =(12/2)=(18/3)
y=(1/6)x
The equation of a line to represent y, the area each person covered using x tiles for Bruce is,
y =(1/4)x.
Thus, if the area each person covered using x tiles. Bruce's tiles cover the most area per tile.
Learn more about the equation here,
https://brainly.com/question/10413253
#SPJ2
f(x) = -4x2 + 4x – 4
Find f(3)
F(3) occurs when x =3. So lets plug 3 into our equation.
[tex]f(3) = -4(3)^2 + 4(3)-4\\f(3) = -4(9) + 12- 4\\f(3) = -36 + 12- 4\\f(3)= -28[/tex]
F(3) = -28
I hope this helps! :)
What is a variable in the expression below?
12+2.6z-2
A) z
B) 2.6
C) -2
A variable is a letter in the equation that can be replaced by a number.
In the equation shown the variable is the letter z.
Answer: A) z