Answer:welll i think its 5
Step-by-step explanation:
The function y1(t)=t is a solution to the differential equation t2y′′−t(t+3)y′+(t+3)y=0. ,t > 0; y1(t) = t. Use the method of reduction of order to find a second solution of the given differential equation.
Answer:
Step-by-step explanation:
Let y(t) = vt..... 1
Differentiating y(t) with respect to t twice will give;
y'(t) = v(1) + v't
y'(t) = v+v't .... 2
For y''(t);
y''(t) = v'+v'(1)+v''t
y''(t) = 2v'+v''t.... 3
Substitute equation 1, 2 and 3 into the differential equation
t²y′′−t(t+3)y′+(t+3)y=0
t²(2v'+v''t) −t(t+3)(v+v't)+(t+3)(vt)=0
t²(2v'+v''t) −(t²+3t)(v+v't)+(t+3)(vt)=0
Open the parentheses
2t²v'+t³v''-(t²v+t³v'+3tv+3t²v')+t²v+3vt= 0
2t²v'+t³v''-t²v-t³v'-3tv-3t²v'+t²v+3vt=0
Collect like terms according to the degree
t³v''+2t²v'-3t²v'-t³v'-t²v+t²v-3vt+3vt=0
t³v''-t²v'-t³v' =0
t²(tv"-v'-tv') = 0
tv"-v'-tv' = 0
tv"-v'(1+t) = 0
Reduce the degree by substituting p as v' to have;
tp'-p(1+t) = 0
tp' = p(1+t)
Separate the variables
p'/p = (1+t)/t
p'/p = 1/t + 1
Integrate both sides of the equation
ln(p) = lnt + t +K
lnp-lnt = t+K
ln(p/t) = t+K
p/t = e^(t+K)
p = Cte^t
v' = Cte^t
Integrate both sides
v = C{te^t - integral (e^t)}
v(t) = C(te^t - e^t}
y(t)/t = C(te^t - e^t}
y(t) = C(t²e^t-te^t)
Since the solution of second order differential equation
y(t) = C1e^at+C2te^t
In comparison the second solution to the differential equation y(t) will be t²e^t
Find the binomial coefficient
(46/46)
A.46
B.0
C.undefined
D.1
Answer:
Step-by-step explanation:
c
what is two more than -7
Answer:
-5
Step-by-step explanation:
-7 +2 = -5
Answer:
-5
Step-by-step explanation:
Because when a number is a negative and you need to add, you subtract instead.
Hope this helps. Plz give brainliest.
Cookies cost $3 each, and candies cost $2 each. Tim has
$25. Which inequality represents the number of cookies, x,
and the number of candies, y, that Tim can buy?
Answer:
8x < 12y
Step-by-step explanation:
If you divide 25 by 3, you get 8.3333... (the threes go on forever), which you can round to 8, because little Timmy isn't going to buy .3 of a cookie. If you divide 25 by 2, you get 12.5, which you round down to 12. I know you normally don't round 5 down, but we are talking about food here.
Therefore, Tim can buy less cookies than candies. He can buy 8 cookies, and 12 candies.
Either way, Timmy's gonna be fat.
Form a polynomial f(x) with real coefficients having the given degree and zeros.
Degree 4; zeros: 1, multiplicity 2; 2i
Answer:
3
Step-by-step explanation:no
A house shaped like an octagon has a large porch, as shown. What is the area of the house
and the porch?
5 feet
5 feet
5 feet
5 feet
House
10 feet
15 feet
Porch
30 feet
825 square feet
775 square feet
800 square feet
875 square feet
3350
5(4×) is 20 so 20+10=30+15=45+30=75+825=900+775=1675+800=2475+875=3350
What are graphs used for? Select all that apply.
analyzing what data means
forming experiments
diagram showing the correlation between two quantities
predicting outcomes and patterns
thanks :))
What is the range of the function?
A. [-2, 11)
B. (-4.0)
C. (-4, 4)
D. [4, 11)
Answer:
I think it should be D tell me if you got it right
The table shows the portions of a family budget that are spent on several expenses.
Housing: 1/4
Food: 1/12
Automobiles: 1/15
Recreations: 1/40
a. How many times more is the expense for housing than for automobiles?
b. How many times more is the expense for food than for recreation?
c. The expense for automobile fuel is 1/60 of the total expenses. What fraction of the automobile expense is spent on fuel?
Answer:
a. 3,75b. 20c. 1/4Step-by-step explanation:
Expenses.Housing: 1/4 Food: 1/12 Automobiles: 1/15 Recreations: 1/40Questionsa. How many times more is the expense for housing than for automobiles?
1/4 : 1/15 = 1/4*15 = 15/4 = 3.75 timesb. How many times more is the expense for food than for recreation?
1/2 : 1/40 = 1/2 * 40 = 40/2 = 20 timesc. The expense for automobile fuel is 1/60 of the total expenses. What fraction of the automobile expense is spent on fuel?
1/60 : 1/15 = 1/60*15 = 15/60 = 1/4Solve the system of equations graphically.3x + 2y = 4−x + 3y = −5
Answer: (2,-1).
Step-by-step explanation:
The given system of equations is
[tex]3x+2y=4[/tex]
[tex]-x+3y=-5[/tex]
For [tex]3x+2y=4[/tex], table of values is
x : 0 1 2
y : 2 0.5 -1
For [tex]-x+3y=-5[/tex], table of values is
x : -1 2 5
y : -2 -1 0
Plot these points on a coordinate plane and connect them be straight lines as shown below.
Form the graph it is clear that the lines intersect each other at (2,-1).
Therefore, the solution of given system of equations is (2,-1).
Find the quotient: 30 √510
Answer:
im pretty sure the quotent is 17
Step-by-step explanation:
hope this helps!
Which input value produces the same output value for the two functions on the graph?
Answer:
x = 1
Step-by-step explanation:
Answer: 2y by 4x
Step-by-step explanation:
There is only one copying machine in the student lounge of the business school. Students arrive at the rate of = 40 per hour (according to a Poisson distribution). Copying takes an average of 40 seconds (according to an exponential distribution). What is the percentage of the time that the machine is used?
Answer:
1
Step-by-step explanation:
Given the following :
Rate of arrival = 40 ( poisson distribution)
Average copying time = 40 seconds (according to an exponential distribution)
Number of machines available = 1
Percentage of time machine is used is Hence ;
Rate of arrival / (Average copying time × number of machines)
40 / (40 × 1)
= 40 / 40
= 1
Jeene and her friends were selling cookies. They sold four more boxes second week in the than they did the first week . On the third week they doubbled the sale of their second week. Although they sold a total of 352 boxes how many boxes that they sell in the third week?
Answer:
i did 352 x 2 witch was 704 so i believe that it is 704 bc it said they sold double the sale of their second week
hoped this helped let me know if it did
Answer:
Step-by-step explanation:i did 352 x 2 witch was 704 so i believe that it is 704 bc it said they sold double the sale of their second week
hoped this helped let me know if it did
a round mirror has a circumference of 87.92 inches. calculate the area of the mirror. use 3.14 for pi. round answers to the nearest hundreth if necessary
Answer:
615.44 in²
Step-by-step explanation:
Use the circumference formula, C = 2[tex]\pi[/tex]r
Plug in the circumference and pi to solve for the radius, r:
C = 2[tex]\pi[/tex]r
87.92 = 2(3.14)r
87.92 = 6.28r
14 = r
Then, use the area formula, A = [tex]\pi[/tex]r²
A = 3.14(14)²
A = 615.44 in²
So, the area of the mirror is 615.44 in²
6. Find LCM (10,14,63).
Answer:
630 is the LCM
Step-by-step explanation:
You have to list all the multiples of each number till you find the lowest same value one which in this case it's 630.
Multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520, 530, 540, 550, 560, 570, 580, 590, 600, 610, 620, 630, 640, 650
Multiples of 14:
14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462, 476, 490, 504, 518, 532, 546, 560, 574, 588, 602, 616, 630, 644, 658
Multiples of 63:
63, 126, 189, 252, 315, 378, 441, 504, 567, 630, 693, 756
which of the following is not a rate
a. 3miles / 5 hours
b. $15/ 3 hours
c. 5 inches / 20 inches
d. 12 pencils / 1 box
-4|2w + 61 = -32. What’s the answer
Answer:
46 1/2
Step-by-step explanation:
hope this helps
Find the median of the following data.
2, 8, 7, 8, 6, 15, 6, 8, 3
Answer:
7
Step-by-step explanation:
You have to put the numbers in order then find the middle number.
Numbers in order: 2,3,6,6,7,8,8,8,15
Then cross out the numbers on the end (one by one) until you get to the middle number. (If there are two numbers left once you're done then you add them then divide by 2)
Answer:7
Step-by-step explanation:
which of the following represents a line with an undefined slope y=5 x=5. y=5x y=x+5
Answer:
B. x = 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
A. has a slope.
y = 0x + 5
m = 0
B. has an undefined slope
x = 5
m = undef
C. has a slope.
y = 5x
m = 5
D. has a slope.
y = x + 5
m = 1
please answer or i move down!!!!!!!!!!!!!!!!!!!
Answer:
180°-(68°+37°)→→→→→→→→sum of angles on a straight line.
180-105=75°
Point to be kept in mind : the sum of angle of a straight line is 180°!
Thus,
68+ X + 37 = 180
=> 105 + X = 180
=> X = 75°5x + 8 is an example of
What is the next number in the sequence: 3, 9, 21, 45, 93,...?
Answer:
189 is the next number bacause we multiply 3+3+3=9 now, 9+9+3=21, again ,21+21+3=45 ,again 45+45+3, therefore we observed that this number add itself and its last add 3 so, 93+93+3=189
The next term will be of the sequence is 189.
What is sequence ?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
According to the question
The sequence: 3, 9, 21, 45, 93,
Next term be x
The sequence: 3, 9, 21, 45, 93, x
Difference : 6 12 24 48
as we can see that
every difference is difference of previous terms *2
i.e
6*2 = 12
12*2 = 24
24*2 = 48
48*2 = 96
Therefore ,
The sequence: 3, 9, 21, 45, 93, x
Difference : 6 12 24 48 96
i.e
x = 96 + 93
x = 189
Hence , the next term will be of the sequence is 189.
To know more about sequence here:
https://brainly.com/question/21961097
#SPJ3
A proportional relationship is a relationship between equivalent ratios. Imagine that ice cream costs $2 per scoop. If you get one scoop of ice cream, you’ll pay $2. If you get two scoops, you’ll pay $4, and for three scoops you’ll pay $6. These ratios of scoops to prices are equivalent. Therefore, the relationship between number of scoops and total price is proportional. To find out the total price of your ice cream, you can always multiply the number of scoops you’re getting by the same number, 2. Which of these can be described with a proportional relationship? A An athlete runs 1 mile in 7 minutes and another mile in 7.5 minutes. B An athlete does 10 push-ups for every 1 mile she runs. C An athlete runs 2 miles and does 25 push-ups. D An athlete runs 5 miles 3 times a week.
Answer:
B. An athlete does 10 push-ups for every mile she runs.
Step-by-step explanation:
10/1 -> 20/2 -> 30/3
What is the inverse of the function?
H^-1(x)=
Answer:
H^-1=2/5x-8/5
Step-by-step explanation:
interchange the variables
x=5/2y+4
so 5/2y=x-4
y=2/5x-8/5
H^-1=2/5x-8/5
PLEASE HELP! I ONLY HAVE 10 MINUTES LEFT!
Consider the sequence of steps to solve the equation:
Answer:
Multiplacation
Step-by-step explanation:
It is the multiplacation roperty pbecauseyou are multipyling 10 times x and 3.
Find the distance between the two points. Round your answer to the
nearest tenth.
YA
(-3,5)
(7,1)
Answer:
The answer is
10.8 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-3,5) and (7,1)
The distance between them is
[tex]d = \sqrt{( { - 3 - 7})^{2} + ({5 - 1})^{2} } \\ = \sqrt{ ({ - 10})^{2} + {4}^{2} } \\ = \sqrt{100 + 16} \\ = \sqrt{116} \\ = 2 \sqrt{29} \\ \: \: \: \: \: \: \: \: = 10.770329[/tex]We have the final answer as
10.8 units to the nearest tenthHope this helps you
how to solve 2x+4 = 6x - 10
Answer:
Step-by-step explanation:
2x + 4 = 6x - 10
Minus 2x on both sides
4 = 4x - 10
Add 10 on both sides
14 = 4x
Divide by 4 on both sides
14/4 = x
x = 14/4
Simplify fraction
x = 7/2 or x = 3 1/2
There are four girls, and four apples in a basket. Each girl took one apple, however, there was still one apple left in the basket. How is that possible?
Answer:
One girl took the basket.
She took the last apple
while it was in the basket.
Step-by-step explanation:
Solve for x: 3(x + 1) = 2(x - 1)
0-5
O-4
O-2
0-1
Answer: x=-5
Step-by-step explanation: Plug -5 in for x
