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2 years ago

What is 94 million,23 in standard form

Mathematics

2 answers:

Luda [366]2 years ago

7 0

Nine million, four hundred thousand, twenty three9

balu736 [363]2 years ago

3 0

94 million 23 in standard form is nine million, four hundred thousand, twenty three. Hope this helps!

<h2>-Rhear</h2>

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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

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

so that

$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx$

It so happens that the integral of $p_i(x)$ reduces nicely to the form you're probably more familiar with,

$S_i=\displaystyle\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx=\frac{r_i-\ell_i}6(f(\ell_i)+4f(m_i)+f(r_i))$

Then the integral is approximately

$\displaystyle\int_0^{\pi/2}\frac3{1+\cos x}\,\mathrm dx\approx\sum_{i=1}^4S_i\approx\boxed{3.000117}$

Compare these to the actual value of the integral, 3. I've included plots of the approximations below.

3 0

3 years ago

Using the order of operations rule, solve the following: 12 ÷ 2 + 4 – 2 × 3 = ? A. 36 B. 0 C. 4 D. 24 Mark for review

AlexFokin [52]

<h2>Answer:</h2>

<u>The answer is </u><u>(C) 4</u>

<h2>Step-by-step explanation:</h2>

According to the rule of BODMAS

We will first do division then Multiplication then addition and in the last we do subtraction

12 ÷ 2 + 4 – 2 × 3 will be done as

= (12 ÷ 2) + 4( – 2 × 3)

= 6+4-6

= 4

5 0

3 years ago

Read 2 more answers

Show working please

shutvik [7]

Answer:

Step-by-step explanation:

1.159 R (remainder) 42

| ------------------------

73 | 84.649

-73

116 (brought 6 down)

-73

434 (brought 4 down)

-365

699 (brought 9 down)

-657

42 is the remainder

6 0

3 years ago

Read 2 more answers

Evaluate 9(4x – 15) if x = 3.

4vir4ik [10]

Answer:

-27

Step-by-step explanation:

9(4x – 15)

Substitute 3 for x

9((4)(3) - 15)

Multiply (4)(3) = 12

9 ( 12 - 15 )

Subtract 12 - 15 = -3

9(-3)

Multiply 9(-3) = -27

5 0

3 years ago

Read 2 more answers

How would you prove these two triangles conrguent?

Crank

Answer:

SSS

Step-by-step explanation:

4 0

2 years ago