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3 years ago

Determine the area based on the house plan. Kitchen area:

Mathematics

2 answers:

expeople1 [14]3 years ago

8 0

32 is the answer of the kitchen

ArbitrLikvidat [17]3 years ago

5 0

Answer:

66 or 32

Step-by-step explanation:

5+3+4+3+5+4+2+3+4= Hope it helps!!1

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How can I explain how I solved the answer?

Irina18 [472]

I solve this answer by multiplying my decimals so I can see which on is the greatest, the least, and equal too.

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4 years ago

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13.10. Suppose that a sequence (ao, a1, a2, ) of real numbers satisfies the recurrence relation an -5an-1+6an-20 for all n> 2

Gwar [14]

a. This recurrence is of order 2.

b. We're looking for a function $A(x)$ such that

$A(x)=\displaystyle\sum_{n=0}^\infty a_nx^n$

Take the recurrence,

$\begin{cases}a_0=a_0\\a_1=a_1\\a_n-5a_{n-1}+6a_{n-2}=0&\text{for }n\ge2\end{cases}$

Multiply both sides by $x^{n-2}$ and sum over all integers $n\ge2$ :

$\displaystyle\sum_{n=2}^\infty a_nx^{n-2}-5\sum_{n=2}^\infty a_{n-1}x^{n-2}+6\sum_{n=2}^\infty a_{n-2}x^{n-2}=0$

Pull out powers of $x$ so that each summand takes the form $a_kx^k$ :

$\displaystyle\frac1{x^2}\sum_{n=2}^\infty a_nx^n-\frac5x\sum_{n=2}^\infty a_{n-1}x^{n-1}+6\sum_{n=2}^\infty a_{n-2}x^{n-2}=0$

Now shift the indices and add/subtract terms as needed to get everything in terms of $A(x)$ :

$\displaystyle\frac1{x^2}\left(\sum_{n=0}^\infty a_nx^n-a_0-a_1x\right)-\frac5x\left(\sum_{n=0}^\infty a_nx^n-a_0\right)+6\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\frac{A(x)-a_0-a_1x}{x^2}-\frac{5(A(x)-a_0)}x+6A(x)=0$

Solve for $A(x)$ :

$A(x)=\dfrac{a_0+(a_1-5a_0)x}{1-5x+6x^2}\implies\boxed{A(x)=\dfrac{a_0+(a_1-5a_0)x}{(1-3x)(1-2x)}}$

c. Splitting $A(x)$ into partial fractions gives

$A(x)=\dfrac{2a_0-a_1}{1-3x}+\dfrac{3a_0-a_1}{1-2x}$

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

so that for $|3x|$ and $|2x|$ , or simply $|x|$ , we have

$A(x)=\displaystyle\sum_{n=0}^\infty\bigg((2a_0-a_1)3^n+(3a_0-a_1)2^n\bigg)x^n$

which means the solution to the recurrence is

$\boxed{a_n=(2a_0-a_1)3^n+(3a_0-a_1)2^n}$

d. I guess you mean $a_0=2$ and $a_1=5$ , in which case

$\boxed{\begin{cases}a_0=2\\a_1=5\\a_2=13\\a_3=35\\a_4=97\\a_5=275\end{cases}}$

e. We already know the general solution in terms of $a_0$ and $a_1$ , so just plug them in:

$\boxed{a_n=2^n+3^n}$

8 0

3 years ago

Can someone help me plzzzz<br> Algebra 2

madreJ [45]

What do u need help with?

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3 years ago

How much sugar syrup would you get by Making 5% sugar syrup using 6g sugar?

kherson [118]

Answer: 120 grams.

Step-by-step explanation:

Let x be the amount of sugar syrup made by 5% sugar syrup using 6g sugar.

Also, 5% =0.05

Therefore, 5% sugar syrup =5% of x = 0.05x

According to the question, we have

$0.05x=6\\\text{Divide 0.05 on the both sides we get}\\\Rightarrow\ x=\frac{6}{0.05}\\\Rightarrow\ x=\frac{600}{5}\\\Rightarrow\ x=120$

Hence, 120 grams sugar syrup is made by 5% sugar syrup of 6g sugar.

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4 years ago

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Simplify the expression.<br> -1/2 (-5/6 + 1/3)

Naya [18.7K]

Answer: exact form: 1/4 or the decimal form is 0.25

Step-by-step explanation:

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3 years ago