Which of the following statements are true and which are false? Give reasons for your answers.(i) Only one line can pass through a single point.(ii) There are an infinite number of lines which pass through two distinct points.(iii) A line can be produced indefinitely on both sides.(iv) If two circles are equal, then their radii are equal.(v) if AB=PQ and PQ=XY, then AB=XY.

Complete Question

Find a particular solution to [tex]ty''-(1+t)y'+y=t^2e^t , t > 0[/tex]  

[tex]y_1 = 1 + t , \ y_2 = e^t[/tex]

Answer:

The solution is    [tex]y_p = -e^{2t} + t + \frac{3t^2}{2} + \frac{t^3}{2}[/tex]

Step-by-step explanation:

  Now the given equation is [tex]ty''-(1+t)y'+y=t^2e^t , t > 0[/tex]

             dividing through by  t

       We have  

         [tex]y'' - \frac{1 + t }{t}y' + \frac{1}{t} y = te^t \\\\ let's\ call\ it \ g(t)[/tex]

Now for the given initial value we can generate our Wronskian as follows

        [tex]W(y_1 ,y_2) = | \left y_1} \atop {y_1'}} \right. \left y_2} \atop {y_2'}} \right | = | \left {(1 + t)} \atop {1}} \right. \left e^t} \atop {e^t}} \right | = (1 + t )e^t - e^t = te^t[/tex]

Now applying  method of variation of parameters to obtain the particular solution

So here we assume that

          [tex]y_p = v_1 y_1 + v_2 y_2[/tex]

So

       [tex]v_1 = - \int\limits {\frac{y_2 (t) g(t)}{W(t)} } \, dt = - \int\limits {\frac{e^t te^t}{te^t} } = - \int\limits { e^t} } = -e^t[/tex]

And

    [tex]v_2 = - \int\limits {\frac{y_1 (t) g(t)}{W(t)} } \, dt = - \int\limits {\frac{(1 + t) te^t}{te^t} } = - \int\limits (1 + t) = t + \frac{t^2}{2}[/tex]

So

     [tex]y_p = -e^t * e^t + t + \frac{t^2}{2} * 1 + t[/tex]

     [tex]y_p  =  -e^{2t}   +  t +   \frac{3t^2}{2} + \frac{t^3}{2}[/tex]

Answer:

Horizontal compression

Step-by-step explanation:

Just took a test

Answer: horizontal compression

Step-by-step explanation:

Edge

Answer:

(A) $8,439.91

Step-by-step explanation:

Just took test

Answer:

For plato users, the answer would be letter C.

Step-by-step explanation:

A.

It represents neither a relation nor a function.

B.

It represents a relation only.

C.

It represents both a relation and a function.

D.

It represents a function only.

This equation represents both a relation and a function.

Took the test, hope this helps!

B. It represents both a relation and a function.

Note that both functions and relations are defined as sets of lists. In fact, every function is a relation. However, not every relationship is a function. In a function, there cannot be two lists that disagree on only the last element.

Given the graph of a relation, if you can draw a vertical line that crosses the graph in more than one place, then the relation is not a function. This is a function. Any vertical line will cross this graph at only one point.

Learn more about function here: https://brainly.com/question/6561461

#SPJ2

The absolute value of 3.4 = 3.4

The absolute value of something is always positive.

The answer is A

Answer: A. 3.4

Step-by-step explanation:

Concept:

Absolute value is the distance from a number to zero. Distance is always positive, so absolute value of any number is positive. Absolute value is often written as ( |x| ).

Solve:

Answer: The Answer is 5 1/8.

Step-by-step explanation:

Answer:

$8

Step-by-step explanation:

In debt at $20 (like an overdraft) = -20

To make a $10 purchase = -10 on the account

Total debt = -20 + (-10)

                 = -30

You deposit $38 (this is what you added to your account.) = +38

Balance of the checking = -30 + (+38)

                                         = $8

I really hope this helps. If I am right, please thank, rate 5 stars, and give brainliest. Thank you.

Answer:

8 hours and 1 min

Step-by-step explanation:

3men=5hours

5men=x

cross multiply

5x5=3x

25=3x

divide both side by 3

x=8hrs and 1 min

Answer:

we would need the answer choices to reply

(6 - 2) - 1 = 4 - 1 = 3

6 - (2 - 1) = 6 - 1 = 5

The associative rule doesn't work for subtraction because you get different results when you move the parentheses.

Step-by-step explanation:

If I'm not wrong it should be 27.93

Answer:

2.6

Step-by-step explanation:

First you subtract and get 40 and then you add the 12 which gets 52 and then you divide it by 20 and get your 2.6

Answer:

Step-by-step explanation:

40.6 hope it helps

Answer:

  -4x^2 -3x -5

Step-by-step explanation:

If you eliminate parentheses and collect terms, you get ...

  -4x^2 +2x -5(1 +x)

  = -4x^2 +2x -5 -5x

  = -4x^2 +x(2 -5) -5

  = -4x^2 -3x -5

Answer:

0.36 miles

Step-by-step explanation:

Answer:

the order of operations tells us how to solve a problem.

first is P for parentheses. this means you solve all the expressions within the parentheses. this ensures a simplified expression before moving on.

second is E for exponents. this means you solve all the expressions with exponents. by doing this before MDAS, you do not raise the wrong values.

third and fourth is M/D for multiplication/division. the / is between these two because these steps are interchangeable. you can multiply or divide first. the results will be the same.

this also applies to the fifth and sixth, which are A/S for addition/subtraction.

Answer:

15

Step-by-step explanation:

-9+9=0+6

9+6=15

That is the answer i think so

Hope you liked that.

(4m - n)(3m - 2n)

12m^2 - 8mn - 3mn + 2n^2

Let's combine like terms

12m^2 - 11mn + 2n^2

Answer:

12m^2+2n^2-11mn

Step-by-step explanation:

(4m-n)(3m-2n)

=12m^2-8mn-3mn+2n^2

12m^2+2n^2-11mn

Answer:

4.2 rightttttrttr or no

Answer: A) x=6

Step-by-step explanation: my trick that i do with these questions are to just fill in the x's with the different choices that they give you.

so... first try out 6. fill in every x with a 6. so now, x isn't x anymore, it's 6.

(8-6)=2

9 times 2= 18

3 times 6= 18

this means that x would equal 6

if that first one doesn't work, try out the other ones. but this one works, so we know we have the right answer. i hope this helps with this problem, and i hope it helps with other problems like this too.

:)

Answer: 144π or 452.389342117

Step-by-step explanation:

24= circumference

c=dπ

c=24π

24/2=12

12=radius

12^2π=area

144π=area

Answer:

n = 20

Step-by-step explanation:

2n − 35 = 5

find: n

2n = 5 + 35

n = 40 / 2

n = 20

Answer:

93.1 N (Newtons)

Step-by-step explanation:

I know it is hard for you to understand this question, so ill make it as easy as possible.

There's a difference between mass and weight

Mass is the amount of matter while WEIGHT IS THE AMOUNT OF FORCE EARTH ATTRACTS AN OBJECT TO ITS CENTER. That means that we have to calculate the weight.

The formula for that is:

Force = Mass * gravitational constant

Here, the gravitational constant means the acceleration at which earth attracts an object to itself. The value of gravitational constant is normally taken as '9.8m/s²' if the value is not given. If it is then replace the given value and calculate the answer.

Ok so heres the equation:

F= 9.5 kg x 9.8 ms

F= 93.1 N

I know it took too long to explain, but it was needed because I could see that you were confused between mass and weight

+ if u think the anwer is good so plz mark it the branliest uwu

Answer:

9

Step-by-step explanation:

Step 1:

3 : 5 = x : 15

Step 2:

5x = 45

Answer:

x = 9

Hope This Helps :)

Answer:

The answer is below

Step-by-step explanation:

Using binomial probability:

p = probability of a rural student getting admission = 1/2

q = probability of a rural student not getting admission = 1/2

n = number of students = 100

P(x) = [tex]C(n,x) p^xq^{(n-x)[/tex]

But [tex]p^xq^{n-x}=\frac{1}{2}^x\frac{1}{2}^{n-x}=\frac{1}{2}^{n}[/tex]

P(x > 50) = P(x = 51) + P(x = 52) + P(x = 53) + . . . + P(x = 100)

P(x > 50) = [tex]\frac{1}{2} ^{100}[C(100,51)+C(100,52)+C(100,53)+\ .\ .\ .+C(100,100)]\\[/tex]

[tex]P(x>50)=\frac{1}{2}^{100} (\frac{1}{2}( 2^{100}-C(100,50)))\\\\P(x>50)=(\frac{1}{2}^{100} *\frac{1}{2}*2^{100})- (\frac{1}{2}^{100} *\frac{1}{2}*C(100,50))\\\\P(x>50)=\frac{1}{2}[(2^{-100}*2^{100})-(\frac{1}{2}^{100} *C(100,50))]\\ \\P(x>50)=\frac{1}{2}[1-\frac{1}{2}^{100} *C(100,50)][/tex]

Answer:

If you round to the nearest thousand, you get; 37,000                                                                            

Answer:

To increase the accuracy of the research results and prevent skewness in the data

Step-by-step explanation:

Random assignment is a measure taken in experiments to ensure that there is no pattern in the qualities of individuals chosen for the study. This would ensure that any results obtained from the experiment can be rightly attributed to the research treatments and not to any other factor. It helps to eliminate bias in choosing the participants of the study. The researcher randomly assigns subjects to the treatment and control groups.

In the experiment described above, random assignment is necessary as it would ensure that participants do not have shared characteristics which could be a possible cause of the results obtained from the study and not the omega-3 fatty acid supplements administered.

Answer:

0.65542

Step-by-step explanation:

The formula for calculating a z-score when a random sample is selected is is z = (x-μ)/standard error

where

x is the raw score

μ is the population mean

Standard error = σ/√n

σ is the population standard deviation.

n = randomly selected sample

z = (x-μ)/standard error

z = (3.08 - 3.10) / 0.20/ √16

= -0.02/0.2/4

= -0.02/0.05

= - 0.4

Determining the Probability value from Z-Table:

P(x≤ 3.08) = P(<3.08)

P (z = -0.4)

= 0.34458

P(x>3.08) = 1 - P(x<3.08)

1 - 0.34458

= 0.65542

Therefore, the likelihood the sample mean is greater than $3.08 is 0.65542