The solution to the given BVP is y(x) = 2cos(3x) + c2sin(3x), where c2 is an arbitrary constant.
To solve the given boundary value problem (BVP), we can find the general solution to the differential equation y″ + 9y = 0, and then apply the boundary conditions to determine the specific solution.
The characteristic equation for the differential equation is r^2 + 9 = 0. Solving this equation, we find the roots r = ±3i. The general solution to the differential equation is then given by y(x) = c1cos(3x) + c2sin(3x), where c1 and c2 are arbitrary constants.
Now, applying the boundary conditions y(0) = 2 and y(2π) = 2, we can find the specific solution.
For y(0) = 2:
y(0) = c1cos(30) + c2sin(30) = c1 = 2.
For y(2π) = 2:
y(2π) = c1cos(32π) + c2sin(32π) = c1 = 2.
Therefore, c1 = 2 and c2 can take any value.
The specific solution to the BVP is y(x) = 2cos(3x) + c2sin(3x).
To learn about arbitrary constant go to:
https://brainly.com/question/16982410
#SPJ11
Brian is tiling a patio and ran out of tiles. The width of the remaining area of ⅔ yard. The length of the remaining area is 4 yards. What is the area Brian has left to tile?
Answer:
Area of the remaining patio = 2.67 square yards
Step-by-step explanation:
Width of the remaining area of the patio = [tex]\frac{2}{3}[/tex] yards
Length of the remaining area of the patio = 4 yards
Since, area of the remaining area of the rectangular patio
= Length × Width
= [tex]\frac{2}{3}\times 4[/tex]
= [tex]\frac{8}{3}[/tex]
= 2.67 square yards
Therefore, area of the remaining area of the patio = 2.67 square yards
‼️ PLEASEE HELPPP ‼️
Answer:
30
Step-by-step explanation:
3x - 27 = x +11
3x -27 +27 = 11 + 27
3x - x = x -x + 38
2x = 38
2x ÷ 2 = 38
X = 19
19 × 3 -27 = 30
1. 2x + 7 = 2x - 7
2. 3x + 8 = -2x + 8
3. 4(x + 1) = 4x + 4
Answer:
Consider left and right sides of the equations as linear functions.
Then:
1. The equation 1 has lines with the same slope (2) but different y-intercepts (7 and -7), therefore the lines are parallel and no solution.2. The lines have different slopes (3 and 2), therefore they intersect and there is one solution.3. After opening the parenthesis we get both sides same, meaning the lines are same and overlap. The equation has infinitely many solutions.Ishi has $24 in his pocket. He pays $8 to have his car washed. Write and solve an expression to show the change in Ishi's money.
Answer:
8 - 24
Step-by-step explanation:
Answer: 24 + (-8)
Step-by-step explanation:
He has 24$ do you take 8 out of it
The town of Passaic had 58,753 people in 1990 and 71,509 people in 2014.
PART A: Find the percent change in population. Explain/Show your
work.
PART B: Was it a percent increase or decrease? Explain how you know.
please help mee
Answer:
21.71% increase
Step-by-step explanation:
increase = Increase ÷ Original Number × 100
12756/58753*100
0.217112318*100
21.71% increase.
MARK ME BRAINLIEST
I didn't mean to click an answer but please help me out
Answer:
135
Step-by-step explanation:
135+45=180, and supplementary angles always equal 180
Answer:
The answer is 135
Step-by-step explanation:
Definition of supplementary angles: either of two angles whose sum is 180°, so 180 - 45 = 135!
Please mark as brainliest.
In the adjoining equilateral triangle PQR , X , Y and Z are the middle points of the sides PQ , QR and RP respectively. Prove that XYZ is also an equilateral triangle.
~Thanks in advance !
Answer:
See Below
Step-by-step explanation:
Statements: Reasons:
[tex]1)\text{ } \Delta PQR\text{ is equilateral}[/tex] Given
[tex]2)\text{ }PQ=QR=RP[/tex] Definition of Equilateral
[tex]3)\text{ } X, Y, Z\text{ are the midpoints of } PQ, QR, RP[/tex] Given
[tex]4)\text{ } PX=XQ[/tex] Definition of Midpoint
[tex]5)PQ=PX+XQ[/tex] Segment Addition
[tex]6)\text{ } PQ=2XQ[/tex] Substitution
[tex]7)\text{ } QY=YR[/tex] Definition of Midpoint
[tex]8)\text{ }QR=QY+YR[/tex] Segment Addition
[tex]9)\text{ } QR=2QY[/tex] Substitution
[tex]10)\text{ } 2XQ=2QY[/tex] Substitution
[tex]11)\text{ } XQ=QY[/tex] Division Property of Equality
[tex]12)\text{ } XQ=PX=QY=YR[/tex] Transitive Property
[tex]13)\text{ } RZ=ZP[/tex] Definition of Midpoint
[tex]14)\text{ } RP=RZ+ZP[/tex] Segment Addition
[tex]15)\text{ } RP=2RZ[/tex] Substitution
[tex]16)\text{ } 2XQ=2RZ[/tex] Substitution
[tex]17)\text{ } XQ=RZ[/tex] Substitution
[tex]18)\text{ } XQ=PX=QY=YR=RZ=ZP[/tex] Transitive Property
[tex]19)\text{ } \angle Q\cong \angle R\cong \angle P[/tex] Definition of Equilateral
[tex]20)\text{ } \Delta XQY\cong \Delta YRQ \cong \Delta ZPX[/tex] SAS Congruence
[tex]21)\text{ } XY\cong YZ\cong ZX[/tex] CPCTC
[tex]22)\text{ } \Delta XYZ\text{ is equilateral}[/tex] Equilateral Triangle Theorem
Answer:
this is your answer. thanks, for great point
Independent Practice
The equation k = 1.6d gives an approximate relationship between d miles and k kilometers. The distance between Columbus, Ohio, and Des Moines, Iowa, is 665 miles. Express the distance in kilometers.
A.
1,064 km
B.
415.6 km
C.
666.6 km
D.
663.4 km
[tex]k = 1.6d[/tex]
[tex]k = 1.6(665)[/tex]
[tex]k = 1064[/tex]
The distance is 1064 km.
Answer:
A. 1,064 km
Step-by-step explanation:
1 Mile is 1,6 Kilometers
430 Miles = 688 Kilometers (430 * 1,6)
665 Miles = 1064 Kilometers (665 * 1,6)
1- 1.6(430)= 688 Km
2. 1.6(665)=1064 Km
Using 1.6 as the consant then 430* 1.6 = 688 Km
655 * 1.6 = 1048Km
if i understand what you need properly, all you do is multiply the miles x 1.6 and you will get k. so 430miles x 1.6 = 688k
and 665miles x 1.6 = 1064k
ANSWER QUICKKK
HELP !!!!! i
Answer:
its B
Step-by-step explanation:
CONVERTING METRIC UNITS - LENGTH WEIGHT & VOLUME 1
2)
2 kg =
B
1)
1 kg =
g
4)
2 cm =
mm
3)
1 cm =
mm
6)
2 km =
m
5)
1 km =
m
8)
2 L =
ml
7)
1 L =
mL
10)
2 m =
cm
9)
cm
1 m =
Which is the most? Circle the largest amount in each box.
1 L
1 m
560 m
2,000 cm
1 kg
1,250 mL
80 cm
300 g
980 mL
1 km
120 mm
950 g
greater than (>), less than (<) or equals (=) to compare the amounts.
2)
1 m
75 cm
590 mL
1L
1 km
250 m
2 cm
4)
20 mm
7 cm
50 mm
2 m
6)
250 cm
4 m
350 cm
8)
1 kg
-,200 g
10)
3m
2 L
20 mL
300 cm
12)
500
Om
1 km
4 kg
Answer:
2 KM 2 L 2 KG I dont know the rest i figured i could help someone but thats all i can do at the moment sorry i might come back to finish it later.
Step-by-step explanation:
Please I need the answer ASAP
Answer:
option C is correct answer of this question
Answer:
the answer is c 2 teaspoons
Step-by-step explanation:
if you divide 84 by 21 you would get 4. then you multiply 1/2 by 4 and get 2 teaspoons.
Carlin pays $ 25 for her monthly phone service and $.02 for each minute m of talk time. Which expression represents her monthly bill?
A. 2m + 25 B. 25m + 0.02 C. .02m + 25 D. 25m + 2
Answer:
I think the answer B
If not then, sorry
What is the value of x in the equation 4(2x + 12) = 0? a −8 b −6 c 6 d 8
Answer:
the answer is b:-6
Step-by-step explanation:
hoped I helped:)
what is the center of the circle?
(-5,-9)
(-4,-7)
(-6,-5)
(-5,-6)
Answer:
1000000066756355688777
If three points are coplanar, they must be collinear. Since the answer is false, state a counterexample.
Answer:
Collinear points are points that lie on a line. Any two points are always collinear because you can always connect them with a straight line. Three or more points can be collinear, but they don't have to be. … Any two or three points are always coplanar
Step-by-step explanation:
Answer:
They could be on different lines or on no line, but in the same plane.
Step-by-step explanation:
Hope This Helps!!
(brainliest please, if possible)
PLS helpp
ill give brainliest
10 POINTS FOR WHOEVER ANWSERS!
Answer:
Infinitely many solutions
Step-by-step explanation:
Levi resolveu a expressão, 8×(-3)+7×5+(– 10)² ÷ 50, mas apagou o resultado. Resolva você também essa expressão e encontre o resultado. *
Answer:
61
Step-by-step explanation:
8×(-3)+7×5+(-10)²÷50
apply the PEMDAS rule or (parenthesis, exponent, multiplication,division,addtion,subraction)
24+7×5+(-10)²÷50
24+7×5+100÷50
24+35+100÷50
24+35+2
61
The ministry of health was interested in the relationship between the office habits of workers and health issues. Each year, they distributed a survey to all workers in the public sector that contained various questions on work habits as well as a standard health questionnaire. After 5 years they gathered and analyzed the entire data.
A) Sample study
B)Experiment
C) Observational Study
The researchers found that those workers who reported taking regular 10-minute breaks during the workday were 41% percent more likely to develop cancer over the next five years than workers who didn't leave their offices during the workday
A)The result suggests that there’s a positive correlation between taking 10-minute breaks during the day and developing cancer in public workers.
B) The result suggests that starting to take 10-minute breaks during the workday will increase the risk of developing cancer for a teacher.
C)The result suggests that if a public worker takes 10-minute breaks during the workday, he has a 41% chance of developing cancer.
D)The result suggests that starting to take 10-minute breaks during the workday will increase the risk of developing cancer for a public worker.
Answer:
Step-by-step explanation:
The answer for the second part of the question would be.
C)The result suggests that there's a positive correlation between taking 10-minutes breaks during the say and developing cancer in public workers.
The correct option is A, The result suggests that there’s a positive correlation between taking 10-minute breaks during the day and developing cancer in public workers.
What is correlation?The correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when another data value is increased or decreased respectively.
The health ministry only distributes forms to workers every five years to collect information on office jobs and worker health concerns. They are just monitoring the workers, and the survey allows them to assess and establish a link between office employment and worker health concerns. Therefore, it is an observational study.
The conclusion that can be concluded from this study is that there’s a positive correlation between taking 10-minute breaks during the day and developing cancer in public workers.
Hence, the correct option is A, The result suggests that there’s a positive correlation between taking 10-minute breaks during the day and developing cancer in public workers.
Learn more about Correlation:
https://brainly.com/question/6563788
#SPJ2
The product of two numbers is 4 2/9, if one of the number is 38, find the number
Answer:
let x and y be the two number then according to question ,
xy=4 2/9
or, xy= 38/9
if one of the number is 38 then,
38x=38/9
or, x= 1/9 is the correct ans.
10 Points<>I need help ASAP!!!
Answer:
Step-by-step explanation:
A and D
how to calculate perimeter
Answer:
To calculate perimeter add all the sides of the particular shape.
I hope this helps!
Square perimeter formula: P = 4a
Rectangle perimeter formula: P = 2(a + b)
Triangle perimeter formulas:
P = a + b + c or
P = a + b + √(a² + b² - 2ab * cos(γ)) or
P = a + (a / sin(β + γ)) * (sin(β) + sin(γ))
Circle perimeter formula: P = 2πr
Circle sector perimeter formula: P = r(α + 2) (α is in radians)
Ellipse perimeter formula: P = π(3(a + b) - √((3a + b) * (a + 3b)))
Quadrilateral / Trapezoid perimeter formula: P = a + b + c + d
Parallelogram perimeter formulas:
P = 2(a + b) or
P = 2a² + √(2e² + 2f² - 4a²) or
P = 2(b + h/sin(α))
Rhombus perimeter formulas:
P = 4a or
P = 2√(e² + f²)
Kite perimeter formula: P = 2(a + b)
Annulus perimeter formula: P = 2π(R + r)
Regular polygon area formula: P = n * a
what's
[tex] \sqrt{36} [/tex]
chess ?
[tex] \huge \purple{\tt{Answer:}} [/tex]
[tex] \sf{\sqrt{36}} = \sf{6} [/tex]
Answer:
√36=6
Step-by-step explanation:
it's can also be understood by 6×6=36
33 1/3 % of what number is21?
Answer:
33 1/3% of 21 is 63.64$ or rounded to the nearest whole number it is 64%
Step-by-step explanation:
I just solved
hellppp fast plzzzzzz
Answer:
49? I think
Step-by-step explanation:
Can anyone help me with this question?
The Hiking Club is on a trip to hike up a mountain. The members increased their elevation 290 feet during their hike
this morning. Now they are at an elevation of 450 feet.
a. Explain how to find their elevation before the hike.
b. Han says the equation e + 290 = 450 describes the situation.
What does the variable e represent?
C. Han says that he can rewrite his equation as
e = 450 + -290 to solve for e. Compare Han's strategy to your
strategy for finding the beginning elevation.
Answer:
Step-by-step explanation:
A. Subtract 290 from 450, 450-290= 160
B. The variable e represents the elevation before they started the hike
C. 450+-290= 450-290
The requried elevation before the hike is given as 160 feet and the required equation model of the situation is e + 290 = 450 where e represents the elevation before the hike.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
a. To find the members' elevation before the hike, we can subtract the increase in elevation from their current elevation. So, their elevation before the hike would be 450 - 290 = 160 feet.
b. In the equation e + 290 = 450, the variable "e" represents the members' elevation before the hike.
c. Han's strategy for finding the beginning elevation involves adding -290 to both sides of the equation e + 290 = 450 to get e = 450 + -290. This is equivalent to subtracting 290 from both sides of the equation e + 290 = 450. Both strategies result in the same equation, e = 160, which tells us that the members' elevation before the hike was 160 feet.
Learn more about models here:
https://brainly.com/question/22591166
#SPJ5
Write the number 7.8 x 10^3 in standard form.
HELP PLEASE!
The initial population of Rochester is 17,500 and is
projected to grow at a rate of 4.5% perdecade.
Write an expression for the projected population
of Rochester after “n” decades.
Answer:
Step-by-step explanation:
I still...really don't know
Please help me by solving this!
Answer:
Ani age is 21
Biju age is 18
Step-by-step explanation:
let Ani age be X
let Biju age be Y
the difference of their age is 3
i.e X - Y = 3......,....(equ. 1)
let Dharam age be A
let Cathy age be B
i.e A = 2x
B = y/2
the difference of their age is 30
Y/2 - 2x = 30..... (equ. 2)
from equ.1 X = ( 3+y).........( equ.3)
y/2 - 2(3+y) = 30
y/2 - 6 + 2y = 30
multiply both side by 2
y - 6 + 2y = 60
y + 2y = 60 - 6
3y = 54
Y = 18
from equ.3
X = 3+Y where y is 18
X = 3+18 = 21