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3 years ago

Answer the 3 blank boxes

Mathematics

2 answers:

vladimir2022 [97]3 years ago

5 0

Your answer is 3 5 and 2

inn [45]3 years ago

3 0

Answer:

3 5 2

Step-by-step explanation:

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Pls help extra points

Ira Lisetskai [31]

Answer:

the mean is 7

Step-by-step explanation:

used a mean calculator

5 0

2 years ago

Read 2 more answers

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

3 years ago

An item that originally cost $100 is decreased by 8%. The reduced price is then increased by 8%.

kolezko [41]

First, find the decreased price by multiplying 100 by 8% and subtracting:

100 x 0.08 = 8

100-8 = 92 ( reduced price )

now multiply reduced price by 8% and add:

92 x 0.08 = 7.36

92 + 7.36 = $99.36

7 0

3 years ago

Read 2 more answers

NEED HELP WITH THIS QUESTION ASAP PLEASE!!!!!

olga_2 [115]

Answer:

84 degrees

Step-by-step explanation:

A right triangle is 90 degrees

90-4-2=84

8 0

3 years ago