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2 years ago

What is the value of x to the nearest tenth?

Mathematics

1 answer:

Oxana [17]2 years ago

4 0

Actually the correct answer would be letter D. 89.7 mark as brainliest thanks

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The points (8, -10) and (-21, 4) form a line segment.

Citrus2011 [14]

Answer:

The coordinates of the midpoint are;

(-6.5, -3)

Step-by-step explanation:

Here, we want to get the midpoint of the line segment

To get this, we use the midpoint formula;

(x,y) = (x1 + x2)/2, (y1 + y2)/2

Thus;

(x,y) = (8 - 21)/2, (-10 + 4)/2

(x,y) = -13/2 , -6/2

(x,y) = (-6.5 , -3)

5 0

2 years ago

Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the value of the integral produ

SOVA2 [1]

$y=\ln(6+x^3)\implies y'=\dfrac{3x^2}{6+x^3}$

The arc length of the curve is

$\displaystyle\int_0^5\sqrt{1+\frac{9x^4}{(6+x^3)^2}}\,\mathrm dx$

which has a value of about 5.99086.

Let $f(x)=\sqrt{1+\frac{9x^4}{(6+x^3)^2}}$ . Split up the interval of integration into 10 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], ..., [9/2, 5]

The left and right endpoints are given respectively by the sequences,

$\ell_i=\dfrac{i-1}2$

$r_i=\dfrac i2$

with $1\le i\le10$ .

These subintervals have midpoints given by

$m_i=\dfrac{\ell_i+r_i}2=\dfrac{2i-1}4$

Over each subinterval, we approximate $f(x)$ with the quadratic polynomial

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

so that the integral we want to find can be estimated as

$\displaystyle\sum_{i=1}^{10}\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx$

It turns out that

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

so that the arc length is approximately

$\displaystyle\sum_{i=1}^{10}\frac{f(\ell_i)+4f(m_i)+f(r_i)}6\approx5.99086$

5 0

2 years ago

Arrange from shortest to longest. 3/8, 3/6, 3/4.

adell [148]

Answer: it already is.

Step-by-step explanation: The more pieces are cut, the smaller they get so the bigger the denominator, the bigger the piece

7 0

2 years ago

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What is the greatest common faactor of 72 and 40

rusak2 [61]

8×9＝72
5×8＝40
So the answer is 8

4 0

3 years ago

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What is discrete in math?

Tju [1.3M]

Answer:

Data that can only take certain values

Step-by-step explanation:

For instance. number of students in a class; you can't half a student

5 0

3 years ago

Read 2 more answers