Answer:
Since L.H.S = R.H.S = 0, for both [tex]y_{1} (t) = e^{t}[/tex] and [tex]y_{2} (t) = cosh(t)[/tex], y₁ and y₂ both satisfy the equation y" - y = 0 and are thus solutions to the differential equation.
Step-by-step explanation:
To check whether the given functions are solutions the given differential equation, we differentiate the functions and then insert it into the given equation.
So y" - y = 0 and
[tex]y_{1} (t) = e^{t}\\y_{1}' (t) = e^{t}\\ y_{1}" (t) = e^{t}[/tex]
Substituting these values of y and y" into the left hand side of the equation, we have
y" - y
[tex]y_{1}" (t) - y_{1} (t) = e^{t} - e^{t} = 0[/tex]
Since L.H.S = R.H.S
So [tex]y_{1} (t) = e^{t}[/tex] is a solution of the differential equation.
When
[tex]y_{2} (t) = cosh(t)\\ y_{2}'(t) = sinh(t) \\y_{2}"(t) = cosh(t)[/tex]
Substituting y and y" into the left hand side of the equation, we have
y" - y
[tex]y_{2}"(t) - y_{2} (t) = cosh(t) - cosh(t) = 0[/tex]
Since L.H.S = R.H.S
So, [tex]y_{2} (t) = cosh(t)[/tex] is a solution of the differential equation.
Guess and win math cash 0 and 99999
Answer:
12345
Step-by-step explanation:
乁[ ◕ ᴥ ◕ ]ㄏฅ^•ﻌ•^ฅ▼・ᴥ・▼
0-99999
(IT COULd Be aNy?) This writing was a joke. BUT WHAT IS THE ANSWER!!!!!!!!
The temperature in a town is 24.8 during the day and -8.1 at night. Find the difference in the temperatures.
The difference is exactly 32.9 degrees
A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. The actual dimensions of the building are 30 feet long by 55 feet wide. true or false
1 inch = 10 feet.
3 inches x 10 = 30 feet
5.5 inches x 10 = 55 feet
The actual room is 30 feet x 55 feet.
The answer is true.
Answer:
Round up to the Nernst number
Step-by-step explanation:
45 inches
What is the distance between the points (3,-2) and (-4, 1)?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{58} \: \: units}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( 3 , -2 ) be ( x₁ , y₁ ) and B ( -4 , 1 ) be ( x₂ , y₂ )
Finding the distance between these points
[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^{2} + {(1 - ( - 2))}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 4 - 3)}^{2} + {(1 + 2)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{ {( - 7)}^{2} + {(3)}^{2} } }}[/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{49 + 9}}} [/tex]
[tex] \dashrightarrow{ \sf{ \sqrt{58} }}[/tex] units
Hope I helped!
Best regards! :D
Divide: 21 and 4,291,678
Answer: assuming you mean divide 4mil by 21, the answer is 204365.619
Step-by-step explanation:
Answer:
4.9x10⁻⁶
Step-by-step explanation:
21 / 4291678 = 4.9x10⁻⁶
63x^12-35x^6 help pls
Answer:
7x^6×(9×^6-5)
Step-by-step explanation:
63x^12-35x^6
7x^6×(9×^6-5)
Answer:I dont know
Step-by-step explanation: Can you pls rate this good I am in 2 grade
What is the solution to this equation?
6x = 36
O A. x = 30
O B. x = 216
C. x = 6
O D. x= 4
Answer:
C
Step-by-step explanation:
6x=36
6x/6 cross out
36/6=6
×=6
so the answer is C
4+y when y = 18 would the answer be 22
Yes you are correct.
You replace y with 18 to get 4+y = 4+18 = 22.
Find the area and perimeter of a court with dimensions of 50ft by 84ft.
Answer:
Area: 4200
Perimeter: 268
Step-by-step explanation:
To find the area, multiply length and width (50 x 84)
To find perimeter, add up the lengths of all the sides (50+50+84+84)
Hope this helps!
Find the point (x1,x2) that lies on the line x1 +5x2 =7 and on the line x1 - 2x2 = -2.
Given :
Two equation [tex]x_1 +5x_2 =7[/tex] and [tex]x_1 - 2x_2 = -2[/tex] .
To Find :
The point of intersection of these lines .
Solution :
We will use elimination method :
From equation 1 :
[tex]x_1=7-5x_2[/tex]
Putting value of [tex]x_1[/tex] in equation 2 we get :
[tex](7-5x_2)-2x_2=-2\\\\7-7x_2=-2\\\\x_2=\dfrac{9}{7}[/tex]
Putting value of [tex]x_2[/tex] in equation 1 we get :
[tex]x_1+5\times \dfrac{9}{7}=7\\\\x_1=\dfrac{4}{7}[/tex]
Therefore , point of interaction is [tex](\dfrac{4}{7},\dfrac{9}{7})[/tex] .
Hence , this is the required solution .
The point is: [tex]\left(x_{1},x_{2}\right)=\left(\frac{4}{7},\frac{9}{7}\right)[/tex]
We will solve the given system of equations.
Subtract the second equation from the first one:
[tex]\left(x_{1}+5x_{2}\right)-\left(x_{1}-2x_{2}\right)=7-\left(-2\right)\\x_{1}+5x_{2}-x_{1}+2x_{2}=7+2\\7x_{2}=9\\x_{2}=\frac{9}{7}[/tex]
Then we plug [tex]x_{2}=\frac{9}{7}[/tex] in the given first equation.
[tex]x_{1}+5x_{2}=7\\x_{1}+5\left(\frac{9}{7}\right)=7\\x_{1}+\frac{45}{7}=7\\x_{1}=7-\frac{45}{7}\\x_{1}=\frac{4}{7}[/tex]
So the point is: [tex]\left(x_{1},x_{2}\right)=\left(\frac{4}{7},\frac{9}{7}\right)[/tex]
Learn more: https://brainly.com/question/16236436
15 = x + 13
which property could be used to solve this equation
Steps to solve:
15 = x + 13
~Subtract 13 to both sides
2 = x
Best of Luck!
a rectangle is 41 cm on one side and 12 cm on the other side.what is the perimeter?
Answer:
106
Step-by-step explanation:
ILL GIVE YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!
Evaluate the expression given the replacement values
Answer:
207
Step-by-step explanation:
[tex]w^{2}[/tex]=9, but since there is a negative sign, it will be negative 9.
-11(uv) is -11(-8), and that equals 88.
2[tex]v^{2}[/tex] is 2(64), which equals 128.
-9+88+128 is 207.
Hope that helps!
how do i estimate .48
To estimate, we can round to the nearest tenth.
How to round:
5 and above, round up.
4 and below, round down.
0.48 -> 0.5
Best of Luck!
Which type of cell contains Cell Membrane?
Answer:
Eukaryotic cells contain cell membrane!
What is represented by the number below the abbreviation of the element in the periodic table? The atomic mass The atomic number The melting point The valence number
Answer:
Atomic Mass
Step-by-step explanation:
Correct answer as per the test
The abbreviation of the element in the periodic table will be atomic number. Then the correct option is B.
What is a periodic table?An arrangement of atoms by their atomic numbers, often in rows, such that atoms with comparable atomic structures (and thus comparable chemical characteristics) are shown in vertical slats.
The abbreviation of the element in the periodic table will be atomic number.
Then the correct option is B.
More about the periodic table link is given below.
https://brainly.com/question/11155928
#SPJ2
Plot the point then draw the shape
they create. What shape does it
create?
(2,5)
(7, 1)
(5,5-)
(-1,-5)
(-3,1)
a. Plot 13.58 on a number line on which the long
tick marks are whole numbers.
b. Plot 0.193 on a number line on which the long
tick marks are tenths.
c. Plot 26.9999 on a number line on which the
long tick marks are thousandths.
Answer:
Se attached for plots and here is position of the numbers:
a. Plot 13.58 on a number line on which the long
tick marks are whole numbers.
13 < 13.58 < 14b. Plot 0.193 on a number line on which the long
tick marks are tenths.
0.1 < 0.193 < 0.2c. Plot 26.9999 on a number line on which the
long tick marks are thousandths.
26.999 < 26.9999 < 27.000driving 85 miles in 5/6 of a hour how many miles per hour
Hey there! I'm happy to help!
To get 5/6 to 1, you multiply by 6/5. This means that to see your mph, you multiply 85 by 6/5!
85(6/5)=102
The speed is 102 mph.
Have a wonderful day! :D
Ahmed wrote two numbers the first number has a seven and it’s tenths place the second number has a seven with a value that is 1000 times greater than the value of the seven in the first in which place is a seven and the second number
Answer: I think the answer is thousands
Step-by-step explanation:
Answer:
100,000
Step-by-step explanation:
first # = 70, 2 digits
second # = 1,000 times greater than 70 1,000 = 4 digits
4 + 2 = 6, 100,000 = 6 digits
Help i dont understand Pls help :( Given g(x)=-4x-2g(x)=−4x−2, find g(-2)g(−2).
Answer:
[tex]g(-2)=6[/tex]
Step-by-step explanation:
Hi again!
So we have the equation:
[tex]g(x)=-4x-2[/tex]
To find g(-2), substitute -2 for x. Thus:
[tex]g(-2)=-4(-2)-2[/tex]
Multiply. -4 times -2 is positive 8:
[tex]g(-2)=8-2[/tex]
Subtract:
[tex]g(-2)=6[/tex]
And we're done!
A randomized study compared two different techniques for improving one's memory. The treatment group using Technique A reported that the subjects were able to memorize a mean of 8.9 words. The treatment group using Technique B reported that the subjects were able to memorize a mean of 12.1 words. To determine if the results are significant, the data are re-randomized and the differences of the means are shown in the dot plot. What is the best conclusion to make based on the data?
Answer:
The best conclusion that can be made based on the data on the dot plot is:
The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.
Step-by-step explanation:
Randomization is the standard used to compare the observational study and balance the factors between the treatment groups and eliminate the variables' influence. Some studies analyze that the treatment in the randomization calculates the appropriate number of the subjects as the treatment to memorize is 8.9, and the treatment for the B is 12.1 words.
The mean difference is not significant because the re-randomization shows that it is within the range of what could happen by chance.
The treatment group using technique A reported a mean of 8.9 words.
The treatment group using technique B reported a mean of 12.1 words.
After the data are re-randomized, the differences of means are shown in the dot plot.
The result is significant because the re-randomization show that it is outside the range. The best conclusion that can be made based on the data on the dot plot is:
The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.
Answer:
The answer is actually
-The difference of the means is significant because the re-randomizations show that it is outside the range of what could happen by chance.
*just took the test hope this helps:)*
Find the population mean or sample mean as indicated.Sample: 19, 15, 6, 11, 24Required:Compute the sample mean for this data set.
Answer:
The sample mean is 15.
Step-by-step explanation:
We have given data 19, 15, 6, 11, 24.
We are required to find the sample mean. The sample mean can be determined by adding all the given value and then divide by the total numbers or how many numbers. Below is the calculation of the mean.
Sample mean = (19+ 15 +6 +11 +24) / 5
Sample mean = 75 / 5
Sample mean = 15
Therefore the sample mean of the given data is 15.
A car drives with an average velocity of 20.1 m/s . After some time, it has traveled 34.2 km. How long has the car been traveling?
Answer:
time = distance / velocity
time = 34,200 meters / 20.1 meters per second
time = 1,701.4925373134 seconds
time = 28.36 minutes
Step-by-step explanation:
David and Amrita had an equal number of marbles. After Amrita gave 50 marbles to David, he had 5 times as many marbles as her. Find the total number of marbles they had.
Answer:
Step-by-step explanation:
a = d before Anna gives away 50 marbles.
5 (a-50) = a +50 after Anna gives away 50 marbles.
5a - 250 = a + 50
4a = 300
a = 75
Anna has 75 marbles at the beginning and so did David.
Together they have 150 marbles.
:)
Answer:
150
Step-by-step explanation:
Originally, they had the same number, so they both had x marbles each.
David: x
Amrita: x
Amrita gives 50 marbles to David. Now they have:
David: x + 50
Amrita: x - 50
"he had 5 times as many marbles as her"
x + 50 = 5(x - 50)
x + 50 = 5x - 250
-4x = -300
x = 75
Each had 75 marbles to start with.
75 + 75 = 150
The total is 150.
what is the 3rd square root of 1000
Answer:
10
Step-by-step explanation:
The third square root is the cube root. This means we are looking for the number that multiplies by itself 3 times to get to 1000, which is 10. (10x10x10=1000)
Hope this helped!
ILL GIVE YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!
Evaluate the expression given the replacement values
Answer:
8
Step-by-step explanation:
[tex]\frac{2}{5} (1+24) + \frac{1}{2} (2-6)[/tex]=
[tex]\frac{2}{5} (25)+ \frac{1}{2} (-4)[/tex]=
[tex]10-2=8[/tex]
this is rlly easy but im lazy and dont wana answer it, i mark brainliesttttt tyyy ❤️
Answer:
C and D is correct
Step-by-step explanation:
C: Debit is negative, and if you add 27 to -14, you get 13 which is Maria's account.
D: Its the same thing but opposite. 13 minus 27 is -14.
♡ Hope it helps ♡
Answer:
both c and d
Step-by-step explanatioin
nobody is answering my question so im saving up like 100 points so someone will actually do it so ye
PLEASE HELP ME I WILL MARK AS BRAINLIEST ANSWER
A map has a scale of
6 in=12 mi. If you measured the distance between two cities to
be 22 in. on the map, how many miles would it actually be?
If necessary, round your answer to the nearest tenth.
Answer:
The answer is 264
Step-by-step explanation:
We start with a ratio of inches to miles- 6:12
we see that it can be simplified to 1:2
if we see that on the map it is 22in, 22:?
we got 1 to 22 by multiplying 1*22=22
do the same to the 12: 12*22=264
which fraction represents 56 shares evenly distributed among 12 people
Answer:
14/3
Step-by-step explanation:
When 56 shares are evenly distributed between 12 people, each person gets equal number of shares.
The number of shares gotten by each person is the ratio of the total number of shares to the total number of people. It is given by the formula:
number of shares gotten by each person = total number of shares / total number of people
number of shares gotten by each person = 56 shares / 12 people
number of shares gotten by each person = 14/3 shares