y''+2y'+y=e^2x how to solve it?
Answers
Answer:
[tex]y=C_1e^{-x}+C_2xe^{-x}+\frac{1}{5}e^{2x}.[/tex]
Step-by-step explanation:
all the details see in the attached picture.
Related Questions
Is urgent What is the equation of the line, in point-slope form, that goes through (2, -1)
and is perpendicular to y = 5x + 3?
A. Y+ 1 = 5(x - 2)
O B. y-1--5(x-2)
C. »+1-- *(x-2)
O D. v-2-- }(x+1)
Answers
Answer:
c. y + 1 = -⅕(x - 2)
Step-by-step explanation:
To write the equation in point-slope form, we need to know the slope (m) and coordinates of a point the line passes through.
The equation would be in the form of y - b = m(x - a).
(a, b) = (2, -1)
Since the line is perpendicular to y = 5x + 3, the slope will be the negative reciprocal of 5 which is -⅕
m = -⅕.
Substitute a = 2, b = -1, and m = -⅕ into y - b = m(x - a).
Thus:
y - (-1) = -⅕(x - 2)
y + 1 = -⅕(x - 2)
Which product is the better deal
A. Washing Powder
B. Super Clean
(easy)
Answers
Answer:
i think b (super clean)
Step-by-step explanation:
What is the measure of the missing angle?
Answers
Answer:
51
Step-by-step explanation:
180-86-43=51
Solve and check please i need help
Answers
Answer:
w=15
Step-by-step explanation:
The way I found the answer is dividing 120 by 8 which equaled 15 and I made sure it was correct as I multiplied 8 by 15 and the answer was 120.
120 divided by 8 is 15
Select the correct answer.
Which of the following cases determined that the US president is not above the law during judicial proceedings and cannot withhold evidence?
A.
Hazelwood v. Kuhlmeier
B.
Bush v. Gore
United States v. Nixon
D.
Tinker v. Des Moines
Answers
Nike marks up the original cost of all of the shoes they sell by 30%. Andre wants to buy a pair of shoes that has a price tag of $117. What was the original cost of these shoes before the 30% markup?
Answers
Answer:
$90
Step-by-step explanation:
The shoes now cost 130% of the original cost
The original cost is 100%
Take the new amount and divide it by 130:
117/130 = .90
Then multiply that number by 100 to get the original percent
.90 x 100 = $90
To check, multiply $90 by 130% or 1.30 to make sure that a 30% increase makes the product $117
$90 x 1.30 = $117
The measure of ADB is 162º. What is the measure of <EAB
Answers
Answer:
81 degrees
Step-by-step explanation:
Applying the inscribed angle theorem, the measure of ∠EAB is: 81°.
What is the Inscribed Angle Theorem?The inscribed angle theorem states that an intercepted arc measure is always twice the measure of the inscribed angle in a circle.
Given the following:
Inscribed angle = ∠EABIntercepted arc = ADB = 162°We would therefore have the following:
1/2(ADB) = m∠EAB
Substitute
1/2(162) = m∠EAB
m∠EAB = 81°
Therefore, applying the inscribed angle theorem, the measure of ∠EAB is: 81°.
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Find the measure of < 6.
Answers
Answer:
126
Two parallel lines cut by a transversal produce congruent alternate interior angles.
Answer:
The measure of angle 6 is 126 degrees because they are corresponding angles.
−8≤2/5(k−2) negative 8 is greater than/equal to 2/ fifths (k minus 2)
Answers
Answer:60
Step-by-step explanation:
The standard deviation for a set of data with mean 25 and variance 16 is?
Answers
Answer:
Standard deviation = 4
Step-by-step explanation:
Given the following data;
Mean = 25
Variance = 16
To find the standard deviation;
Mathematically, standard deviation is given by the formula;
[tex]Standard \; deviation = \sqrt{variance}[/tex]
Substituting into the formula, we have;
[tex]Standard \; deviation = \sqrt{16}[/tex]
Standard deviation = 4
3x3 im in kinder help/
/
Answers
Answer:
9
Step-by-step explanation:
3+3+3=9
Answer:
9
Step-by-step explanation:
3
6
9
Do this for me? Giving brainliest also btw, no cheat also needs work
Answers
Answer:
Your answer is 320
Step-by-step explanation:
Show 1/4 on the number line. Show 1/2 on the number line .
Answers
Answer:
If you were marking these fractions on a number line, keep in mine that 1/2 is equivalent to 2/4. If each sides of the number line are divided into four parts per whole number, this info is useful.
Step-by-step explanation:
Hope this helped!
1. What was the median number of guests for
each holiday?
THANKSGIVING
NEW
YEAR'S EVE
2. What is the IQR for each holiday?
3. Which holiday showed greater variqbility in the
data?
20
30
5 10 15
25
NUMBER OF GUESTS AT DINNER
1. What was the median number of guests for
each holiday?
Thanksgiving. 8
New Year's-17
Thanksgiving: 15
New Year's 10
Thanksgiving- 17
New Year's
Thanksgiving 10
New Year's-15
Answers
Answer:
Thanksgiving, median = 17
New year's eve, median = 8
Thanksgiving, IQR = 12
New year's eve, IQR = 10
THANKSGIVING has greater variability
Step-by-step explanation:
The median value of a box plot is the line which lies in the middle of the box :
From the plot, the best estimate :
Thanksgiving, median = 17
New year's eve, median = 8
THE Interquartile range, IQR is the difference between the upper quartile and lower quartile values, Q3 - Q1 ;
Lower quartile = the starting point of the box
Upper quartile = the endpoint of the box
From the plot ; Best estimate :
Thanksgiving :
Q1 = 12 ; Q3 = 24
IQR = Q3 - Q1 = 24 - 12 = 12
New year's eve :
Q1 = 5 ; Q3 = 15
IQR = Q3 - Q1 = 15 - 5 = 10
Thanksgiving :
Range = Maximum - Minimum
Range = (29 - 5) = 24
New year's eve:
Range = Maximum - Minimum
Range = 22 - 3 = 19
Hence, Thanksgiving has greater variability
what is the power of the variable in a constant term?
A. 1
B. None of the options is correct
C. 0
D. A Constant term is not variable
Answers
Answer:
C. 0Step-by-step explanation:
As,
In a constant term the power of the variable is zero, so it's degree is 0.
Eg:
[tex]4 {a}^{0} [/tex]
Since,
[tex] {x}^{0} = 1[/tex]
Hence,
4 × 1 = 4
Here, The value remains unchanged hence it is the constant variable.
I need help please.
Answers
Answer:
it might be A but dont trust me
Step-by-step explanation:
-15x + 5 = -10x + 25 solve for x
Answers
Answer:
Move all terms containing x to the left side of the equation.
−5x+5=25
Move all terms not containing x to the right side of the equation.
−5x=20
Divide each term by −5 and simplify.
x=−4
Step-by-step explanation:
Answer:
[tex]15x + 5 = -10x + 25[/tex]
[tex]15x+5-5=-10x+25-5[/tex]
[tex]15x=-10x+20[/tex]
[tex]15x+10x=-10x+20+10x[/tex]
[tex]25x=20[/tex]
[tex]\frac{25x}{25}=\frac{20}{25}[/tex]
[tex]x=\frac{4}{5}[/tex]
?
Name:
Period:
Date:
15. The area of a rectangular playground is 315 yd? The width of the playground is 6 yd longer than its
length. Find the length and width of the playground.
Answers
Answer:
length 21yd
width 15yd
Step-by-step explanation:
Actually it does factor
x(x+6)=315
x²+6x=315
x² +6x - 315 = 0
(x+21)(x-15) = 0
x= -21. discard as can’t have a negative distance
x=15
So dimensions are 15 and 21
Uhm... help pleasee.
Answers
Answer:
nose de ecuaciones sorry :c
Step-by-step explanation:
a rectangle has a length of 18 ft less than 7 times its width if the area of the rectangle is 405 square feet. what's the length of the rectangle
Answers
Answer:
i don't know um is there any multiple questions?
Step-by-step explanation:
15
12
П
[Not drawn to scale)
What is the area of the reduced rectangle?
Answers
James wants to purchase a car.
The purchase price of the car is $27,000.00 The dealership will allow him to pay cash or
finance the car with a down payment of $5,000.00 and 60 monthly payments of
$525.00. James chooses to finance the car.
Answer the following questions:
a) What is the amount financed?
b) What is the total amount of monthly payments?
c} What is the amount of the finance charge?
Answers
B) $31,500
C) $4,150
(a) The amount financed is $22,000.
(b) Total amount of monthly payments is $31,500.
(c) Amount of the finance charge is $9,500.
What is Down Payment?Down payment is the amount which has to be paid at the beginning of a transaction while buying a house or a car.
Given that,
Purchase price of the car = $27,000.00
Down payment = $5,000.00
Number of monthly payments = 60
Amount of monthly payment = $525
(a) Amount financed = Purchase price - Down payment
= $27,000.00 - $5,000.00
= $22,000
(b) Total amount of monthly payments = 60 × $525
= $31,500
(c) Amount of the finance charge = $31,500 - $22,000
= $9,500
Hence the amount financed is $22,000.
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#SPJ2
P(-3,-5) and Q(1, -3) represent points in a coordinate
plane. Find the midpoint of PQ.
Answers
Step by step explanation :
The two points are ,
P( -3 , -5)Q (1 , -3)We can find the midpoint by finding the median of x coordinate and y coordinate .
[tex]\tt\to Midpoint = \bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\tt\to Midpoint =\bigg(\dfrac{-3+1}{2},\dfrac{-5-3}{2}\bigg)\\\\\tt\to Midpoint = \bigg( \dfrac{-2}{2},\dfrac{-8}{2}\bigg) \\\\\sf\to\boxed{\orange{\tt Midpoint = (-1,-4)}}[/tex]
Which statement is true
Answers
Answer:
I think is the last one I don't know but I can give you the explanation down to the step by step equation
Step-by-step explanation:
In a box plot the left side the left corners of that box represents Q1, the right corners of the box represents Q3. The line inside the box represents the median of the data
Write an expression using an exponent to represent the following: Adnan Start with one coin. the number of coins doubles every day. How many coins will he have on day 8?
Answers
Answer: 128
Step-by-step explanation:
day 1: 1
day 2: 2
day 3: 4
day 4: 8
day 5: 16
day 6: 32
day 7: 64
day 8: 128
ALSO.
you can solve it by doing 2 to the power of 8
2^8 is the expression
In a pet shop, there are 3 hamsters for every 2 guinea pigs, and there are 2 giant cloud rats for every 3 guinea pigs. If N is the total number of hamsters, guinea pigs, and giant cloud rats, and N>0 then what is the smallest possible value of N
Answers
Answer:
n = 19.
Step-by-step explanation:
If there are x guinea pigs then there are 3/2 x and 2/3 x rats.
So n = x + 3/2 x + 2/3 x
n = 19x / 6
19x = 6n
Let x = 6 , then n = 19*6 / 6 = 19.
Now n and x must be whole numbers so x is 6 and n = 19 are the smallest possible values.
How many times does the pyramid fit in the cube of both bases and height are the same?
Answers
If the base is 120×120
120
×
120
units, and the height is 120
120
units, with the summit directly above the center of the base, then each side has a slope of 2
2
: one unit towards the center, the side wall rises by two units.
This means that at height 5
5
above the base, each side is 5×12=2.5
5
×
1
2
=
2.5
inwards, i.e. 115×115
115
×
115
in area, because each of the four sides (north, south, east west) is inwards by that amount. In other words, the bottommost layer of 5×5×5
5
×
5
×
5
blocks covers 115×115
115
×
115
unit area of the base, and thus consists of 23×23
23
×
23
blocks.
The next layer of blocks is similarly smaller, covering a 110×110
110
×
110
area on top of the previous layer of blocks, i.e. one block less in both directions, consisting of 22×22
22
×
22
blocks. (You might note that the center of each block in the upper layer is at the corners of four blocks in the lower layer, although it does not affect the math here at all.)
This continues upwards, with the 23rd layer having just one block. Note that since 23×5=115
23
×
5
=
115
, the summit of the pyramid (a rectangular pyramid itself, of course, with base 5×5
5
×
5
on top of the topmost block, and height another 5
5
) is empty; it does not have enough room to contain even a single block.
If we count the number of blocks in each layer, we get
=23×23+22×22+21×21+…+1
N
=
23
×
23
+
22
×
22
+
21
×
21
+
…
+
1
That is not too hard to do by hand (or, better, calculator; or even with 2×2 Lego bricks), but mathematically we can also say that
=∑=1232
N
=
∑
i
=
1
23
i
2
As it happens, it is already known (in lists of known sums) that
∑=12=16(+1)(2+1)
∑
i
=
1
n
i
2
=
1
6
n
(
n
+
1
)
(
2
n
+
1
)
and therefore
=16×23×24×47=4324
I need a little bit of help on this question.
Answers
Answer:
your answer will be 64 inch on your mathematics problem
the average of 6 members to 2 8 9 x 7 and 12 is 7 find the value of x
Answers
Answer:
x=(-45)
Step-by-step explanation:
2+8+9+x+7+12=7
38+x=7
x=(-45)
38+(-45)=7
5. Jerald is investigating the typical depreciation rate for the used automobile he intends to purchase next month. He has collected the following data about an automobile purchased in 1999 for 12,500. a. Using Jerald’s data, find the best-fit exponential equation for this deprecation using the substitution method. Must show work. b. Using the same data, get an equation using the calculator's regression feature. Then estimate the depreciated value of the automobile in 2010:
Answers
An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.
The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379
I've added the missing data as an attachment.
An exponential equation is represented as:
[tex]y = ab^x[/tex]
Where:
[tex]a \to[/tex] the first term
[tex]b \to[/tex] rate
[tex]x \to[/tex] years after 1999
[tex]y \to[/tex] depreciated value
When [tex]x = 0\ \&\ y=12500[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]12500 = ab^0[/tex]
[tex]12500 = a*1[/tex]
[tex]12500 = a[/tex]
[tex]a =12500[/tex]
When [tex]x = 1\, \&\ y = 10750[/tex]
The equation [tex]y = ab^x[/tex] is:
[tex]10750 = ab^1[/tex]
[tex]10750 = ab[/tex]
Substitute [tex]a =12500[/tex]
[tex]10750 = 12500 \times b[/tex]
Solve for b
[tex]b =\frac{10750 }{12500}[/tex]
[tex]b =0.86[/tex]
So, the equation is:
[tex]y = ab^x[/tex]
[tex]y = 12500(0.86)^x[/tex]
To calculate the depreciated value in 2010, we first solve for x in 2010
[tex]x = 2010 - 1999[/tex]
[tex]x = 11[/tex]
So, the depreciated value (y) is:
[tex]y = 12500(0.86)^x[/tex]
[tex]y = 12500 \times 0.86^{11}[/tex]
[tex]y = 2379[/tex]
Read more about exponential equation at:
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