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2 years ago

What is the approximate area of the circle shown below?

Mathematics

1 answer:

Lelu [443]2 years ago

6 0

Hey there!

Formula: πr^2

r = radius

pi = 3.1415926535898 (but we can say it approximately equals 3.14)

Your equation (3.14)(4.2)^2 = answer

4.2^2 = 4.2 × 4.2 = 17.64

New equation: 17.64 × 3.14 = 55.3896

We round our answer to the nearest tenth

Answer: 55.4 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

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Proszę o pomoc!! Daje naj.

Karo-lina-s [1.5K]

Answer:

a is 60 b is 48

Step-by-step explanation:and i will get the rest to you when i am done

5 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

Two times the sum of a number and three is not equal to eight

jarptica [38.1K]

Could be the sum is 1 and then 2 times 2 which equals 4 then 5 then plus 3 it is 8 so wrong

8 0

3 years ago

.Sammie paid $249.99 for a game system and then bought two equally-priced games. If she spent a total of $339.97, what is the pr

bulgar [2K]

Answer: $44.99

Step-by-step explanation:

Let P = equal prices games

The equation would be

249.99+2p=339.97

Subtract 249.99 from each side

2p=339.97

Divide by two and you got the answer.

6 0

2 years ago

Ms. Allen asked each of her 30 students to select their favorite type of music. How many students chose Rock 1/3 chose hip hop 1

dalvyx [7]

Answer: 14

Step-by-step explanation:

Fraction that choose hip hop= 1/3

Fraction that choose rap = 1/5

Fraction that choose rock will be:

= 1 - (1/3 + 1/5)

= 1 - (5/15 + 3/15)

= 1 - 8/15

= 7/15

Number of students that choose rock will be:

= 7/15 × 30

= 7 × 2

= 14 students

We then multi

5 0

2 years ago