45. ART The area of a square painting is 3600 square inches. Find the side

Solve 75=125 (0.8)t^

valentinak56 [21]

Really night what's the problem

7 0

3 years ago

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Esther has a farm.

Gnesinka [82]

Here, we are required bro determine how many worker Esther needs to employ to pick the same 600kg of onions in 3 hours as compared to 4 hours from last year.

This year, she needs to employ 32 workers to pick a total of 600kg of onions in 3 hours.

According to the data given, the total quantity of onions to be picked still remains 600 kg as from last year, only that she needs it done in 3 hours now.

Therefore,

Since 24 workers finished the work in 4 hours,
This means that 96 workers are needed to finish the work in 1 hour( from 24×4 = 96).

Therefore, since the work needs to be done in 3 hours this year, This means that it can be shared between X no. of workers.

Where X = 96/3= 32

Therefore, this year she needs to employ 32 workers to pick a total of 600kg of onions in 3 hours.

Read more:

brainly.com/question/3796978

4 0

3 years ago

Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.

Vera_Pavlovna [14]

Split up the integration interval into 4 subintervals:

$\left[0,\dfrac\pi8\right],\left[\dfrac\pi8,\dfrac\pi4\right],\left[\dfrac\pi4,\dfrac{3\pi}8\right],\left[\dfrac{3\pi}8,\dfrac\pi2\right]$

The left and right endpoints of the $i$ -th subinterval, respectively, are

$\ell_i=\dfrac{i-1}4\left(\dfrac\pi2-0\right)=\dfrac{(i-1)\pi}8$

$r_i=\dfrac i4\left(\dfrac\pi2-0\right)=\dfrac{i\pi}8$

for $1\le i\le4$ , and the respective midpoints are

$m_i=\dfrac{\ell_i+r_i}2=\dfrac{(2i-1)\pi}8$

Trapezoidal rule

We approximate the (signed) area under the curve over each subinterval by

$T_i=\dfrac{f(\ell_i)+f(r_i)}2(\ell_i-r_i)$

so that

$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4T_i\approx\boxed{3.038078}$

Midpoint rule

We approximate the area for each subinterval by

$M_i=f(m_i)(\ell_i-r_i)$

so that

$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4M_i\approx\boxed{2.981137}$

Simpson's rule

We first interpolate the integrand over each subinterval by a quadratic polynomial $p_i(x)$ , where

$p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}$