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3 years ago

Jacob bought a total of 9 pizzas for his class party. The amount of large pizzas was twice the amount of

Mathematics

1 answer:

Vikki [24]3 years ago

5 0

Answer:

X= medium pizza

2x= large pizza

X+2x=9

3x=9

X=3

Medium pizza =3

Large pizza =6

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Find the area of each round your answer to the nearest tenth

daser333 [38]

Answer:

Area of a circle- pi x r square

3.14 x 2 x 2

= 3.14 x 4

= 12.56

Round off- 13

6 0

3 years ago

Read 2 more answers

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

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

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3 years ago

Solve the equation and check the solution.

weqwewe [10]

Answer:

Step-by-step explanation:

You can write the equation like this:

A - 2.5 = 1.5

If you reverse the equation, it looks like this:

1.5 - 2.5 = A

1.5 - 2.5 = 4

A = 4

3 0

3 years ago

Read 2 more answers

What is the slope 19,-16 -7,-15

zubka84 [21]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 19}}\quad ,&{{ -16}})\quad 
% (c,d)
&({{ -7}}\quad ,&{{ -15}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-15-(-16)}{-7-19}\implies \cfrac{-15+16}{-7-19}
\\\\\\
\cfrac{1}{-26}\implies -\cfrac{1}{26}$

5 0

4 years ago

Rob is saving to buy a new MP3 player. For every $15 he earns babysitting, he saves $9. On Saturday, Rob earned $60 babysitting.

alexandr402 [8]

$60 ÷ $15 = 4
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he saved $36 when he earned $60

8 0

3 years ago