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AleksAgata [21]
3 years ago
10

Write using algebra.

Mathematics
2 answers:
ipn [44]3 years ago
7 0
D x 2= c so whatever Leo has Pete always has twice as much
lyudmila [28]3 years ago
6 0
D * 2
Pete has 2 times more than Leo
* = times ( fact)
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Elsies math class has 11 female students and 10 male students. Write the ratio of female students to total number of students in
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Step-by-step explanation:

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2 years ago
On Monday, 351 students went on a trip to the zoo. All 7 buses were filled and 8 students had to travel in cars. How many studen
ira [324]

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49

Step-by-step explanation:

(351-8)/7 = 49

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3 years ago
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Assuming that a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,000 cm3 of air? Round to the near
Minchanka [31]

Answer:

17.85 cm

Step-by-step explanation:

1) Area of a sphere formula: A=4\pi r^{2}

2) Plug in A: 1000 = 4\pi r^{2}

3) Simplify: 1000 = 12.56r^{2}

4) Divide Each Side By 12.56: 79.61783439 = r^{2}

5) Take the Square Root of 79.61783439 to Solve for r: 8.922882628 = r

6) Double r to get the diameter: 8.922882628*2= 17.84576486

7) Round to the Nearest Tenth: 17.85 cm

8 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]

If

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
A penguin walks 10 feet in 6 seconds at this speed how far does the penguin walk in 45 seconds
Bogdan [553]

Answer: 75 ft

Step-by-step explanation:

45x10 = 450

450/6=75

7 0
2 years ago
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