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3 years ago

———Help pleaseeeee———

Mathematics

1 answer:

Maslowich3 years ago

7 0

Answer:

Slope of line is $\pi$

Step-by-step explanation:

Given that the company logo has four concentric circles.

To plot the line on the graph take point as ( Diameter, Circumference )

Circumference of a circle is given by C= $\pi D$

Where D is the diameter.

To draw a line, we need at least two-point.

Now,

Take D=1

Circumference of a circle will be C= $\pi D=\pi$

Required point is (1, $\pi$ )

Take D=0

Circumference of a circle will be C= $\pi D=0 \pi$

Required point is (0,0)

The slope of line is given by s= $\frac{Y2-Y1}{X2-X1}$

Hence,

s= $\frac{Y2-Y1}{X2-X1}$

s= $\frac{0-[tex]\pi$ }{0-1}[/tex]

s= $\frac{[tex]\pi$ }{1}[/tex]

s= $\pi$

Thus, Slope of line is $\pi$

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Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

Putting the value of y, y' and y'' in left side of the differential equation

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

3 years ago

Nina's monthly budget is $2,250. Every month she makes the following payments:

julsineya [31]

House A
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8 0

4 years ago

Read 2 more answers

My teacher gave us the answers but we just need to show the work for solving the problems. Please help me

Radda [10]

Answer:

Step-by-step explanation:

16x + 22 = 134 ..... because if the two lines are parallel alternative exterior angles are congruent

16x = 134 - 22

16x = 112

$\frac{16x}{16} = \frac{112}{16}$

x = 7

hope it helps

for any question comment me ❤❤

3 0

3 years ago

According to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that h

shepuryov [24]

Answer:

The probability that exactly one of these mortgages is delinquent is 0.357.

Step-by-step explanation:

We are given that according to the Mortgage Bankers Association, 8% of U.S. mortgages were delinquent in 2011. A delinquent mortgage is one that has missed at least one payment but has not yet gone to foreclosure.

A random sample of eight mortgages was selected.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 8 mortgages

r = number of success = exactly one

p = probability of success which in our question is % of U.S.

mortgages those were delinquent in 2011, i.e; 8%

LET X = Number of U.S. mortgages those were delinquent in 2011

So, it means X ~ $Binom(n=8, p=0.08)$

Now, Probability that exactly one of these mortgages is delinquent is given by = P(X = 1)

P(X = 1) = $\binom{8}{1}\times 0.08^{1} \times (1-0.08)^{8-1}$

= $8 \times 0.08 \times 0.92^{7}$

= 0.357

Hence, the probability that exactly one of these mortgages is delinquent is 0.357.

4 0

3 years ago

The sides of a triangle measure 16 30 and 34. which type of triangle is it

leva [86]

It would have to be an obtuse triangle

4 0

4 years ago