Write an equation of the line passes through (4,1) and is parallel to y=-2x+7 .
Answer:
y= -2x+9
Step-by-step explanation:
First of all, since they need to be parallel, they must have the same slope to never intercept. Next, you can use a graphing calculator to test y-intercepts like desmos. You will find that 9 works, as it goes through (4,1) and never intercepts with the 1st line.
Giải phương trình vi phân sau
Y"=2y'+y=e^x
You likely mean to write the differential equation,
y'' - 2y' + y = exp(x)
The homogeneous part
y'' - 2y' + y = 0
has characteristic equation
r² - 2r + 1 = (r - 1)² = 0
with a root at r = 1 with multiplicity 2, so the characteristic solution is
y = C₁ exp(x) + C₂ x exp(x)
For the particular solution, we assume an ansatz
y = ax² exp(x)
where a is an unknown constant. Differentiating the ansatz twice:
y' = ax² exp(x) + 2ax exp(x) = (ax² + 2ax) exp(x)
y'' = (ax² + 2ax) exp(x) + (2ax + 2a) exp(x) = (ax² + 4ax + 2a) exp(x)
Substitute y and its derivatives into the DE:
(ax² + 4ax + 2a) exp(x) - 2 (ax² + 2ax) exp(x) + ax² exp(x) = exp(x)
Solve for a :
(ax² + 4ax + 2a) - 2 (ax² + 2ax) + ax² = 1
2a = 1
a = 1/2
Then the particular solution is
y = 1/2 x² exp(x)
The general solution is then
y = C₁ exp(x) + C₂ x exp(x) + 1/2 x² exp(x)
A factory wants to fill a conical storage tank with sand. The tank has a height of 23.7 meters and a diameter of 21.4 meters.
Calculate the volume of the storage tank to the nearest hundredth.
Answer:
ur mom
Step-by-step explanation:
ur mom + 3= 69
The volume of the storage tank to the nearest hundredth is 2840.04 m³.
Given that, the conical tank has a height of 23.7 meters and a diameter of 21.4 meters.
What is the volume of a cone?The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter.
The volume of a cone formula is 1/3 πr²h.
Put h=23.7 meters and radius = 21.4/2 = 10.7 meters in the volume of a cone formula
That is, 1/3 × 3.14 × (10.7)² × 23.7
= 2840.0389 m³
≈ 2840.04 m³
Therefore, the volume of the storage tank to the nearest hundredth is 2840.04 m³.
To learn more about the volume of a cone visit:
https://brainly.com/question/1984638.
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helpp anyone?? :(
No linkssss porfavorr plaesaaje cjkq
Answer:
127/100 = 1.27
1.4
1 whole and 1/3 = 1.5
Step-by-step explanation:
Hope this helps
May I get Braineist pls
How many terms does the expression 14 + 9 have? What are they? Explain how you know.
Answer:
23, so 1. i know because i added 14+9 and got 23. im sorry if you meant like a definition term, please comment if thats what you meant. because i'll help you then.
Step-by-step explanation:
A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...
Answer:
A
Step-by-step explanation:
We know that to find the next term we have to do
-3(-4)-1, which is equal to 11.
There are only to solutions with the '11' as the second term, A and C.
It can't be C as curly brackets state a set of numbers.
1plss help, it time.............................
Answer:
24 in
Step-by-step explanation:
Compare "like" things:
Big/small = Big/small
30/L = 10/8
Crossmultiply
240 = 10L
Divide by 10
240/10 = 10L/10
24 = L
What is the vertex of the absolute value function below?
(will give brainliest)!!!
(–3, –2)
(–3, 2)
(2, –3)
(2, 3)
Answer:
(-3,2)
Step-by-step explanation:
Go where the two coordinates match, you'll see that it's (-3,2).
I see that that's Edge2021, I know how that feels. :/
Hope this helped! :)
Answer:
(-3, 2)
Step-by-step explanation:
a box contains 4 red balls and 6 purple balls. Ezra takes out a ball, puts it back and then takes out another ball. what is the probability that both balls were red
Answer:
16/100 = 4/25
Step-by-step explanation:
4/10 * 4/10 = 16/100
what is the unit rate if there are 1,760 in 8 servings
Answer:
Unit rate = 220 calories
Step-by-step explanation:
In order to find the unit rate, you simply have to divide the total number of calories (1760) by the number of servings (8).
1760/8=220.
Therefore, the unit rate is 220 calories.
help me please please
Answer:
i think its D or 14/16
Step-by-step explanation:
Answer:
[tex]\frac{14}{16}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] + [tex]\frac{10}{16}[/tex]
Before adding we require the denominators of both fractions to be common
Multiply numerator/ denominator of first fraction by 4
= [tex]\frac{1(4)}{4(4)}[/tex] + [tex]\frac{10}{16}[/tex]
= [tex]\frac{4}{16}[/tex] + [tex]\frac{10}{16}[/tex] ( now add the numerators leaving the common denominator )
= [tex]\frac{4+10}{16}[/tex]
= [tex]\frac{14}{16}[/tex]
The fraction can be simplified by dividing the numerator/ denominator by 2 to
[tex]\frac{7}{8}[/tex]
Multiply the numerator and the denominator of the given fraction by the following factor to find an equivalent fraction
Fraction: 8/15
Factor: 4x
Answer:
32/60
Step-by-step explanation:
because you are multiplying both the numerator and denominator by the same factor, you will get the same ratio (producing an equivalent fraction)
numerator: 8*4=32
denominator: 15*4=60
final equivalent fraction: 32/60
WILL MARK BRAINLIEST The width of a table is 2 feet less than the length. The area is 20 square feet. Find the dimensions. Show and
explain all work using mathematical concepts in this module.
Answer:
length ≈ 5.583 ft
width ≈ 3.583 ft
Step-by-step explanation:
If we let x represent the length of the table in feet, then the width is (x-2). The area is ...
A = LW
20 = x(x -2)
Writing this in standard form gives ...
x^2 -2x -20 = 0
The coefficients used in the quadratic formula are a=1, b=-2, c=-20. The solutions are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(-20)}}{2(1)}\\\\=\dfrac{2\pm\sqrt{4+80}}{2}=1\pm\sqrt{21}[/tex]
Of these values, the only one that makes sense is ...
length = 1+√21 ≈ 5.583 ft
width = length -2 ≈ 3.583 ft
Let width is x
length be x+2
Area=Length ×Breadthx(x+2)=20x²+2x=20x²+2x-20=0On solving
we get
x is around 3.58 or 3.6ft
Width=3.6ftLength=3.6+2=5.6ftwhats 5+5? please help quick quick quick
Answer:
It's 10 lol
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Because it is
combine like terms (3x-2y+z)+(5z-8x-5y)+(-15x+8z)
Answer:
−20−7+14
Step-by-step explanation:
What is the LCD/LCM of this equation
-12.2 + 2.8W - 8.8 = 1.05w
Answer: 2.8 W. 2.6 W. 2.4 W. 2.2 W. 2.0 W. 1.9 W. 1.7 W
Step-by-step explanation:
Answer:
LCD/ LCM = 100
Step-by-step explanation:
- 12.2 + 2.8W - 8.8 = 1.05W
- 12 [tex]\frac{2}{10}[/tex] + 2 [tex]\frac{8}{10}[/tex] W - 8 [tex]\frac{8}{10}[/tex] = 1 [tex]\frac{5}{100}[/tex] W
- [tex]\frac{122}{10}[/tex] + [tex]\frac{28}{10}[/tex] W - [tex]\frac{88}{10}[/tex] = [tex]\frac{105}{100}[/tex] W
the LCM/ LCD is 100
QUESTION 18 PLEASE HELP ME ASAPP
Answer:
constant over time
Step-by-step explanation: for every 3 cookies the cost goes up 2 dollars
help plssssssssssssssssssssssssssssssssssssss
A Biology test has 20 questions and is worth a total of 100 points. The test
consists of True/False questions worth 2 points each and multiple choice questions
worth 7 points each. How many of the test questions
are multiple choice and how
many of the test questions are True/ False?
# of true/false questions =
# of multiple choice questions =
THIS IS ALGEBRA PLEASE
Answer:
I've done alot of calculations on this but I cant get a definite answer I hope you got it I'm sorry I couldn't help you I tried but only got into a dead end
Robin is making floral arrangements for a party. Each arrangement has 8 roses and 10 carnations. Each carnation costs $0.75 and each rose costs $1.85. Which expression represents the total cost for one arrangement? A 8 + 10 + (0.75 + 1.85) B (8 + 0.75)(10 + 1.85) C 10(0.75) + 8(1.85) D 8(0.75) + 10(1.85)
A rectangle has a perimeter of 270cm and its length is 2½cm times its width find its width
Answer:
Width = 38.57cm
Step-by-step explanation:
Perimeter = 270cm
Let x be the width, so
Length = 2 1/2 x = 5x/2
Perimeter of Rectangle = 2(length + width)
270cm = 2(5x/2 + x)
270 = 5x + 2x
7x = 270
x = 38.571 cm
Therefore, the width is 38.57cm (rounded to 2nd decimal place)
Answer:
width = 38.6 cm (approx.)
Step-by-step explanation:
let the width be x cm, so that the length is 2.5x cm.
Perimeter = 2 (length + width)
2 (length + width) = 270 cm
or, 2 (2½x cm + x cm) = 270 cm
or, 3½x cm = 270/2 = 135 cm
or, x = 270/7 cm = 38.6 cm (approx.)
Look at the graph below. What is the slope of the line?
A. - 1/2
B - 2
C. 1/2
D. 2
Answer:
1/2
Step-by-step explanation:
We know two points on the line
(-1,1) and (3,3)
The slope of a line is given by
m = (y2-y1)/ (x2-x1)
= ( 3-1)/(3- -1)
= (3-1) /(3+1)
= ( 2/4
= 1/2
In circle L with mZKLM 74 and KL = 10 units, find the length of arc KM.
Round to the nearest hundredth.
happy to you are you happy
You start at your school, 10 miles from your house and walk home at a rate of 2 miles per hour **negative slope since you are walking toward your house so the distance to home is DECREASING Distance from Home In Miles Distance from Home (Miles) TO 5 Time (Hours)
Answer:
Step-by-step explanation:
If you're supposed to plot that, it would be a line from (0, 10) to (5, 0)
slope would be -2 mi/hr
10 miles per hour is an example of an objects what?
Step-by-step explanation:
Speed is the correct answer
On a number line, where would 2/10 be located? Choose all answers that make
a true statement.
Help help bell help be math ASAP
Answer:
2x + 2 = 28
2x = 26
x = 13
Step-by-step explanation:
r less than one-eighth
Answer:
what did you mean
Step-by-step explanation:
is not a question
A statistics teacher was interested in the relationship between the number of days students waited to start a project
and the score that project received (out of 100 points). Information was collected on several students and was used
to obtain the regression equation ý= -3.64x + 96.5, where x represents the number of procrastination days and ý is
the predicted grade. What is the predicted grade of a student who procrastinated for 1 week?
O24.59
71.02
O 92.86
O. 96.5
Answer:
71.02
Step-by-step explanation:
x is the number of days
1 week = 7 days
-3.64 (7) + 96.5 = 71.02
Recently, your parents read in the newspaper that American factory worker jobs have the lowest income ra
What is the best explanation for this fact?
A A factory worker does not need a lot of education
B Companies are relocating factories to other parts of the world.
C Factories are always in poor areas.
D A computer can do the work a factory worker currently does
Answer:
A. A factory worker does not need a lot of education.
Step-by-step explanation:
The answer is " A " which is a factory worker does not need a lot of education. since most people don't have a PHD degree or anything higher education, it results in a lot of people joining due to the benefit of the factory worker doesn't need a lot of worker which makes it low in demand too.