y''+2y'+y=e^2x how to solve it?
Answers
Answer:
\(y=C_1e^{-x}+C_2xe^{-x}+\frac{1}{5}e^{2x}.\)
Step-by-step explanation:
all the details see in the attached picture.
Related Questions
Rainwater is collected in a large pool. After a significant rainstorm, the pool contains
3 3/4 gallons of water. The sun came out after the rain ended. Within a couple of hours, 1/6 of the water collected in the pool evaporated. What value represents the change in the amount of water in the pool? Enter your answer as a simplified fraction in the box.
Answers
Answer:
3 1/8
Step-by-step explanation:
3 3/4 and 1/6 percent of the water evaporated
3 3/4 as a inproper fraction 15/4
15/4 * 1/6= 15/24 = 5/8
so we have to subtract 5/8 from 15/ 4
15/4*2/2= 30/8
30/8-5/8= 25/8
Answer:
3 1/8
Step-by-step explanation:
In Ms. Craig’s class, 75% of the students are boys. There are 18 boys in the class. What is the total number of students in Ms. Craig’s class? |QUICK! IM TIMED
Answers
Answer:
24
Step-by-step explanation:
75% of x = 18
75/100 * x = 18 (x = total number of students)
solving
x = 24
total number of students = 24
Checking:
75/100 * 24 = 18
ms. kim paid $42.20 for 2 movie tickets. At that rate, could she use a $200 gift certificate to buy 12 tickets? (answer with proof
Answers
Answer:No
Step-by-step explanation:42.20/2=$21.10. 21.10x12=253.20$ for 12 tickets
200$ is less than 253.20 so No is the answer
Which of the following is expected if the null hypothesis is true for an analysis of variance?
a. SS (between) should be about the same size as SStotal
b. SS (between) should be about the same size as SSwithin
c. MS (between) should be about the same size as MStotal
d. MS (between) should be about the same size as MSwithin
Answers
The null hypothesis is true for an analysis of variance -MS (between) should be about the same size as MS within. Option (d) is the correct answer.
If the null is true, MS between and MS within should be about the same since they are both estimates of the same quantity (variance).
The null hypothesis is a characteristic arithmetic theory that suggests that no statistical relationship and significance exists in a set of given, single, observed variables between two sets of observed data and measured phenomena.
The null hypothesis in statistics defines that there is no difference between groups or no relationship between variables.
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What is the equation of the line that passes through the points (-4, 2) and (12, 6)?
Answers
Answer:
y=1/4x+3
Step-by-step explanation:
What is the round trip distance in miles from city 1 to city 3?
15
30
50
70
Answers
The round trip distance in miles from city 1 to city 3 is given as follows:
30 miles.
How to obtain the round trip distance?The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.
Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.
For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:
2 x 15 = 30 miles.
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POV: I don't trust most of the people on here to give me the correct answer, but... T^T
Answers
Answer:
650,000
Step-by-step explanation:
\(10^5=100000\\=100000\cdot \:6.5\\=650000\)
PLEASE HELP PLEASE PLEASE
Answers
Answer:
The top-left box should be 4x, and the bottom-left box should be 2.50x.
Step-by-step explanation:
Because the cost from 2 hours to 6 hours is 4 dollars per hour, it is 4x.
Likewise, because the cost over 6 hours is 2.50 dollars per hour, the cost is 2.50x.
Everything else seems fine.
Hope this helps!
9514 1404 393
Answer:
f(x) = {0, x≤ 1; 4(x -1), 1 < x ≤ 6; 2.5x +5, x > 6}
Step-by-step explanation:
The hourly rate gives you the slope of the function in the relevant interval. The added constant is chosen to make the function continuous.
That is, at 1 hour, the charge is zero, so the next segment (4x+b) must have a value of b that makes the charge for 1 hour be zero. That will be b=-4.
Likewise, for more than 6 hours, the charge will be (2.5x+b), where b is chosen to make this expression match the charge for 6 hours. We know the charge for 6 hours is 4(6) -4 = 20, so b must match ...
2.5(6) +b = 20
b = 20 -15 = 5
The segment from 1 to 6 hours is f(x) = 4x -4.
The segment for more than 6 hours is f(x) = 2.5x +5.
_____
Alternate solution
Since the charge is zero for the first hour, the first segment could be considered to be charging only for hours after the first. That is, an alternate expression for hours 1–6 could be 4(x -1). Likewise, we could say the expression for hours more than 6 is 2.5(x +2).
Which graph shows the solution to this system of inequalities?
y>-1/3x+1
y>2x-3
Answers
Given:
The system of inequalities is:
\(y>-\dfrac{1}{3}x+1\)
\(y>2x-3\)
To find:
The graph of the given system of inequalities.
Solution:
We have,
\(y>-\dfrac{1}{3}x+1\)
\(y>2x-3\)
The related equations are:
\(y=-\dfrac{1}{3}x+1\)
\(y=2x-3\)
Table of values for the given equations is:
\(x\) \(y=-\dfrac{1}{3}x+1\) \(y=2x-3\)
0 1 -3
3 0 3
Plot (0,1) and (3,0) and connect them by a straight line to get the graph of \(y=-\dfrac{1}{3}x+1\).
Similarly, plot (0,-3) and (3,3) and connect them by a straight line to get the graph of \(y=2x-3\).
The signs of both inequalities are ">". So, the boundary line is a dotted line and the shaded region or each inequality lie above the boundary line.
Therefore, the graph of the given system of inequalities is shown below.
Plot the vertex and the axis of symmetry of this function: f(x) = (x – 3)2 + 5.
Answers
Answer:
Vertex: (3, 5)
Axis of symmetry: x=3
determine which equation below has a solution of x= 1/2
Answers
Answer:2x-1=0
Step-by-step explanation:
x=1/2
Cross multiply
2x=1
Subtract 1 from both sides
2x-1=1-1
2x-1=0
The equation below has a solution of x= 1/2 will be 2x-1=0.Option A is correct.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
Given expression;
x=1/2
2x=1
Take 1 away from both sides.
2x-1=1-1
2x-1=0
The equation below has a solution of x= 1/2 will be 2x-1=0.
Hence, option A is correct.
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There are 12 F/A-18 aircraft, where: 3 are F/A-18A's 4 are F/A-18E's 5 are F/A-18F's If three of these twelve aircraft are selected at random, so that every possible selection is equally likely, what is the probability that all three of them will be F/A-18E's, rounded to two decimal places?
Answers
When three of these twelve aircraft are selected at random, the probability that all three of them will be F/A-18E's is 0.018.
How to calculate the probability?Based on the information given, there are are 12 F/A-18 aircraft, where: 3 are F/A-18A's 4 are F/A-18E's 5 are F/A-18F's. The total number of aircraft will be 12.
When three of these twelve aircraft are selected at random, so that every possible selection is equally likely, the probability that all three of them will be F/A-18E's will be:
= 4/12 × 3/11 × 2/10
It should be noted that this is without replacement that's why we have 10, 11 and 12 as the denominator.
= 4/12 × 3/11 × 2/10
= 1/3 × 3/11 × 1/5
= 3 /165
= 0.018
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help
Does this graph represent a function? Why or why not?
A- no because it fails the vertical line test
B- yes because it passes the vertical line test
C-yes because it passes the horizontal line test
D- no because it fails the horizontal line test
Answers
Answer: No, it fails the vertical line test.
Step-by-step explanation:
Which equation has the solutions x=1+/- 5?
Ox^2+2x + 4 =0
Ox^2-2x + 4 =0
Ox^2+ 2x-4 = 0
Ox^2-2x – 4 =0
Answers
Answer:
\(x^{2} -2x-4=0\)
Solving Steps
Use the quadratic formula
\(x=\frac{-(-2)(+/-)\sqrt{(-2)^2-4*1*(-4)} }{2*1}\)
Multiply / Remove the parentheses / Evaluate
\(x=\frac{2(+/-)\sqrt{4+16} }{2}\)
Calculate
\(x=\frac{2(+/-)\sqrt{20} }{2}\)
Separate the solutions
\(x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}\)
Simplify
\(x=1+\sqrt{5} \\x=1-\sqrt{5}\)
Water is not a liquid if its temperature is above 100 °C or below 0 °C.
0
40
80
120
160
Write a compound inequality to show the levels that are within the range described
above.
Answers
Answer:
\(0 \leq x \leq 100\)
0, 40, and 80 are the values that work for this compound inequality.
Step-by-step explanation:
To create a compound inequality, we have to examine the conditions for \(x\) to work.
Since \(x\) can not be below 0° C, that means that \(x\) must be greater than or equal to 0.
Which is represented as \(x\geq 0\), or \(0\leq x\).
Since \(x\) can not be above 100° C, that means \(x\) must be less than 100.
Which is represented as \(x \leq 100\).
We can combine both inequalities into one, where \(x\) is shared between the two. This creates \(0\leq x \leq 100\).
Let's test each value of \(x\) .
0 is equal to 0 and less than 100, so it works.
40 is greater than 0 and less than 100, so it works.
80 is greater than 0 and less than 100, so it works.
120 is greater than 0 and greater than 100, so it doesn't work.
160 is greater than 0 and greater than 100, so it doesn't work.
Hope this helped!
A.11.1
B.12.7
C.9.2
D.8.5
Answers
Answer: B. 12.7
Step-by-step explanation:
Answer:
D.8.5
Step-by-step explanation:
38.4/2=
19.2 L
19.2-10.7=
8.5
hope this helps ; )
Find the coordinates of triangle P Q R with vertices P(-3,-2), Q(-1,4), and R(2,-2) under the translation (x, y) →(x+2, y-4)
a. P'(-1,2), Q'(1,8), R(4,2)
b. P'(-5,-6), Q'(-3,0), R(-4,-6)
c. P'(-1,-6), Q'(1,0), R(4,-6)
d. P'(-5,2), Q'(-3,8), R(-4,2)
Please select the best answer from the choices provided
A
B
C
D
Answers
The coordinates of P'Q'R' are P'(-1, -6), Q'(1, 0) and R'(4, -6).
What is translation of points?
By describing how far a point is shifted left, right, and up or down, translations are described.
When a figure is transferred from one area to another without altering its size, shape, or orientation, a translation takes place. If we know which way and how far the figure to be moved, we can draw the translation in the coordinate plane.
Let, the coordinates of triangle P Q R with vertices are P(-3,-2), Q(-1, 4), and R(2,-2).
The points translation is, (x, y) → (x + 2, y - 4)
So, The vertices P Q R becomes,
P(-3, -2) → P'(-3 + 2, -2 - 4) = P'(-1, -6)
Q(-1, 4) → Q'(-1 + 2, 4 - 4) = Q'(1, 0)
R(2, -2) → Q'(2 + 2, -2 - 4) = Q'(4, -6)
Hence, the translated points of P Q R are P'(-1, -6), Q'(1, 0) and R'(4, -6).
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How many 1 6 cup servings are in 3 4 cups of popcorn? (in simplest fraction form)
Answers
Answer: 8/17
Step-by-step explanation: 16 ÷ 34 = 8/17
Hope this helps ^_^
Given below are descriptions of two lines.Line 1: Goes through (15,-115) and (-14,117)Line 2: Goes through (11,75/8) and (13,77/8)The slope of Line 1 is m =-8The slope of Line 2 is m =?
Answers
The slope m of the line
= (77/8 - 75/8) / (13 - 11)
= (2/8)/ 2
= 2/16
= 1/8
x – 5 ÷ 3 + b
6b + 15b ÷ 3
c - 2c × 4
PLEASE ANSWER ITS CONFUSING
Answers
Hey there!
Basically for all of your equations/questions you have to COMBINE the LIKE TERMS (if they are any in the particular equation you have)
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
QUESTION/EQUATION #1
x - 5 ÷ 3 + b
We pretty much CANNOT do anything to this equation because it doesn’t have that many like terms.
So, thus your answer will most likely be/
[b + x - 5 ÷ 3]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
QUESTION/EQUATION #2
6b + 15b ÷ 3
= 21b ÷ 3
= 7b
Thus, your answer is: [7b]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
QUESTION/EQUATION #3
c - 2c × 4
REWRITE
= 1c - 2c × 4
COMBINE the LIKE TERMS
= 1c - 7
= -7c
Thus, your answer is: [-7c]
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Stained glass slope graphing linear equation Description: Identify the slope and y-intercept of the linear equation. Then, graph the linear equations on the same coordinate plane. Make sure to extend the lines to the edge of the graph paper! Darken each line when finished. Color however YOU want to create a stained glass effect
Answers
Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the y-intercept of the line in our equation, y = 7 x + 4, is 4.
What is meant by slope-intercept?When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is utilized (0, b). The y value of the y intercept point is represented by b in the equation. Given the slope of the line and the intercept it forms with the y-axis, the slope intercept form in mathematics is one of the forms used to determine the equation of a straight line. Y = mx + b is the slope intercept form, where m is the slope of the straight line and b is the y-intercept.To learn more about slope-intercept, refer to:
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Which is a stretch of an exponential decay function?
O f(x) = // [(5)*
○ f(x) = // (-²)*
○ f(x) = { [3)*
[음]
Of(x) = {[5]*
Answers
Answer:
Answer: f(x) = 5(1/5)x (third option)
Step-by-step explanation:
ach ant has 6 legs. How many legs do 3 ants have?
Ants 1 2 3
Legs 6 ?
Answers
Answer:
Step-by-step explanation:
the answer is 18 I think?
Answer:
18
Step-by-step explanation:
6 (legs) x 3 (ants) = 18 legs
It can also be represented as 6+6+6 (18)
hope this helps :)
Calculator What is the area of a sector with a central angle of 144° and a radius of 11 cm? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. cm² K
Answers
Rounding to the nearest hundredth, the area is approximately 151.976 cm².
The formula for the area of a sector is:
A = (θ/360) x πr²
where θ is the central angle in degrees, r is the radius, and π is pi (3.14).
Plugging in the given values, we get:
A = (144/360) x 3.14 x 11^2
A = 0.4 x 3.14 x 121
A = 151.976
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what is the answer to the calculation
.02+2(.12-.02)=?
Answers
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $7.50 and each adult ticket sells for $10. The drama club must make no less than $1200 from ticket sales to cover the show's costs. Write an inequality that could represent the possible values for the number of student tickets sold,
s
s, and the number of adult tickets sold,
a
a, that would satisfy the constraint.
Answers
Answer:
at least 160 students have to buy a ticket to cover the show's cost.
Step-by-step explanation:
1200 divided by 7.50 = 160.
Colby put $100 in a savings account. The graph below shows how the amount in the
account would increase over the next ten years. y=mx
a) Write the equation of the line.
b) What does the y-intercept represent?
c) Interpret the slope.
Answers
There are vehicles in a parking lot. The frequency table shows data about the types and colors of the vehicles. Complete a relative frequency table to show the distribution of the data with respect to color. Use pencil and paper. Explain why the first two numbers in each row must add up to 100%.
Frequency Table
Color
Type of Vehicle
Car
Truck
Total
Blue
Red
Total
Question content area bottom
Part 1
Complete the table.
Row Relative Frequency Table
Color
Type of Vehicle
Car
Truck
Total
Blue
enter your response here%
enter your response here%
100%
Red
enter your response here%
enter your response here%
100%
Total
enter your response here%
enter your response here%
100%
Answers
Answer:
you su ck hah lol
Step-by-step explanation:
ez
Help me pls in math to solve these thank u
Answers
Y = mx + b
Y = 3x + 2
17.
Y = mx + b
Y = 1/2 x - 1
Step-by-step explanation:
y = mx + b
m = 3
b = 2
y = 3x + 2
______________________
y = mx + b
m = 1/2
b = -1
y = 1/2x + (-1)
y = 1/2x -1
Henri necesita empacar en la menor cantidad de de cajas, cinta de color rojo y cinta de color verde si hay 120 metros de cinta de color rojo y 160 metros de cinta de color verde ¿que cantidad de cinta roja y verde deberá empacar Henri en cada caja?
Answers
Answer:
Step-by-step explanation: