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Olin [163]
3 years ago
5

How is adding 2.67+8.91 similar to adding 8.91 +2.67

Mathematics
1 answer:
Ivenika [448]3 years ago
8 0

Answer:

its the commutative property of addition, you'll get the same answer for both of them

You might be interested in
An area is approximated to be 14 in 2 using a left-endpoint rectangle approximation method. A right- endpoint approximation of t
USPshnik [31]
The trapezoidal approximation will be the average of the left- and right-endpoint approximations.

Let's consider a simple example of estimating the value of a general definite integral,

\displaystyle\int_a^bf(x)\,\mathrm dx

Split up the interval [a,b] into n equal subintervals,

[x_0,x_1]\cup[x_1,x_2]\cup\cdots\cup[x_{n-2},x_{n-1}]\cup[x_{n-1},x_n]

where a=x_0 and b=x_n. Each subinterval has measure (width) \dfrac{a-b}n.

Now denote the left- and right-endpoint approximations by L and R, respectively. The left-endpoint approximation consists of rectangles whose heights are determined by the left-endpoints of each subinterval. These are \{x_0,x_1,\cdots,x_{n-1}\}. Meanwhile, the right-endpoint approximation involves rectangles with heights determined by the right endpoints, \{x_1,x_2,\cdots,x_n\}.

So, you have

L=\dfrac{b-a}n\left(f(x_0)+f(x_1)+\cdots+f(x_{n-2})+f(x_{n-1})\right)
R=\dfrac{b-a}n\left(f(x_1)+f(x_2)+\cdots+f(x_{n-1})+f(x_n)\right)

Now let T denote the trapezoidal approximation. The area of each trapezoidal subdivision is given by the product of each subinterval's width and the average of the heights given by the endpoints of each subinterval. That is,

T=\dfrac{b-a}n\left(\dfrac{f(x_0)+f(x_1)}2+\dfrac{f(x_1)+f(x_2)}2+\cdots+\dfrac{f(x_{n-2})+f(x_{n-1})}2+\dfrac{f(x_{n-1})+f(x_n)}2\right)

Factoring out \dfrac12 and regrouping the terms, you have

T=\dfrac{b-a}{2n}\left((f(x_0)+f(x_1)+\cdots+f(x_{n-2})+f(x_{n-1}))+(f(x_1)+f(x_2)+\cdots+f(x_{n-1})+f(x_n))\right)

which is equivalent to

T=\dfrac12\left(L+R)

and is the average of L and R.

So the trapezoidal approximation for your problem should be \dfrac{14+21}2=\dfrac{35}2=17.5\text{ in}^2
4 0
3 years ago
Whats the simplified ratio if 4 : 22 : 30
masya89 [10]
On dividing all the three ratios with 2 u can simplify it as

2:11:15

Hope it helps.
Dont forget to say thx if it helps
6 0
3 years ago
Helene spends 3%of her budget on transportation expenses. Enter this percent as a
Vesnalui [34]

3% as a decimal is 0.03 and I think 3% as a fraction in simplest form is 3/100

8 0
3 years ago
PLEASE HELP ME!!! The students in Suzanne's school are painting a rectangular mural outside the building that will be 15 feet by
Andrew [12]

Answer:

length of scale drawing = 9 feet

width of scale drawing = 3 feet

Step-by-step explanation:

Actual dimension  15 feet by 45 feet.

length = 45 feet

width = 15 feet

Dimension on drawing is 20% of actual dimension.

20% = 20/100

Thus,

20% of 15 feet = 20/100 * 15 feet = 3 feet

20% of 45 feet = 20/100 * 45 feet = 9 feet

Thus, length of scale drawing = 9 feet

width of scale drawing = 3 feet

4 0
3 years ago
-7•(-9) <br><br> need help on this one with full work including
Veseljchak [2.6K]

Answer:

-7×-9

=63

Step-by-step explanation:

If u multiple - with -, I'll get + sign

6 0
3 years ago
Read 2 more answers
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