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ollegr [7]
3 years ago
11

What integers fall between the square root of 12

Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0
The square root of 12 is 3.4.
Your integers are 3 and 4.
I hope this helps!
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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
Jonathan buys two baseball bats for $43 each they are on sale for 45% off he also bought a glove that was originally priced at 2
vladimir2022 [97]

Hi There!

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Baseball Bats:

43 x 0.45 = $19.35 as the amount off.

43 - 19.35 = $23.65 with the discount.

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Glove:

28 x 0.25 = $7 as the amount off.

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Together:

21 + 47.3 = $68.3 as the total before taxes.

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With Taxes:

68.3 x 0.055 = $3.7565 as the tax amount.

68.3 - 3.7565 = $64.5435

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Answer:

Not Rounded: $64.5435

Rounded: $64.54

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Hope This Helps :)

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