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zaharov [31]
3 years ago
15

Which one is the least value?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Answer:

6/20

Step-by-step explanation:

trust

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Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for the integr
prisoha [69]

Split up the interval [0, 2] into 4 subintervals, so that

[0,2]=\left[0,\dfrac12\right]\cup\left[\dfrac12,1\right]\cup\left[1,\dfrac32\right]\cup\left[\dfrac32,2\right]

Each subinterval has width \dfrac{2-0}4=\dfrac12. The area of the trapezoid constructed on each subinterval is \dfrac{f(x_i)+f(x_{i+1})}4, i.e. the average of the values of x^2 at both endpoints of the subinterval times 1/2 over each subinterval [x_i,x_{i+1}].

So,

\displaystyle\int_0^2x^2\,\mathrm dx\approx\dfrac{0^2+\left(\frac12\right)^2}4+\dfrac{\left(\frac12\right)^2+1^2}4+\dfrac{1^2+\left(\frac32\right)^2}4+\dfrac{\left(\frac32\right)^2+2^2}4

=\displaystyle\sum_{i=1}^4\frac{\left(\frac{i-1}2\right)^2+\left(\frac i2\right)^2}4=\frac{11}4

4 0
3 years ago
The regular price of the soccer ball is $25. During the sale, it is 20 percent off. Use ratio reasoning to find x, the amount th
Evgen [1.6K]

$ 5 is taken is off the regular price

<em><u>Solution:</u></em>

Given that, Regular price of the soccer ball is $ 25

During the sale, it is 20 percent off

Let "x" be the amount that is taken off the regular price

Regular price = $ 25

Discount = 20 percent off

Which means, 20 % of regular price is taken off

x = 20 % of regular price

x = 20 % of 25

x = \frac{20}{100} \times 25\\\\x = 5

Thus $ 5 is taken is off the regular price

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Their were 45 percent of boys in the class.What was the percent of girls in the class?
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55 because it's out 100
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Answer:9

Step-by-step explanation:

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3 years ago
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Which of these nonterminating decimals can be converted into a rational number?
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A can be converted since it is a repeating decimal


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