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3 years ago

What is the area of the parallelogram below if b=6.1? Round your answer to the nearest tenth.

Mathematics

1 answer:

Alisiya [41]3 years ago

6 0

The answer to this is 48.8

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mustafa is putting a sidewalk using two diffrent style bricks, one style brick is 8 inches long, and the other style brick is 6

Svetlanka [38]

Answer:

8y+6y=288

Step-by-step explanation:

8y+6y= 12y

12y=288

12y divide by 12 = 288 divided by 12 =

y=24

3 0

3 years ago

1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

7 0

3 years ago

The number seven help please

timurjin [86]

Answer:

The answer is D

Step-by-step explanation:

8 0

3 years ago

Monica wants to measure the dimensions of her rectangular lawn. If the longer side of the lawn is (x + 3) feet and the diagonal

Juliette [100K]

Let us try and solve it analytically. We have that the side=x+3 together with the short side=s and the diagonal=x+4 satisfy the Pythagorean Theorem. Then we have that $(x+4)^2=(x+3)^2+s^2$ . This yields $s^2+x^2+6x+9=x^2+8x+16$
which yields s^2=2x+7, hence a) is the correct answer.

4 0

3 years ago

Read 2 more answers

The price of a video game was reduced from $60 to $45. By what percentage was the price of the video game reduced?* O 15% O 25%

Naya [18.7K]

Answer:

Step-by-step explanation:

The new price, $45, can be expressed as a percentage of $60 by taking it as a fraction of $60, converting to a decimal value, and multiplying by 100%. $45/$60=3/4=0.75, 0.75x100%=75%. So since 100%-75%=25%, the value was reduced by 25%.

5 0

3 years ago