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3 years ago

|-3+(-1)|= simply the expression

Mathematics

1 answer:

Andreyy893 years ago

8 0

Answer:

Step-by-step explanation:

First, solve in the brackets,

-3+(-1)

-3-1

-4

Since it is absolute value, take the minus sign away,

therefore the answer is 4

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A circle has a circumference of 12. It has an arc of length 11.

riadik2000 [5.3K]

Answer:

The central angle is 330 degrees

Step-by-step explanation:

The arc length is equal to the circumference time the fractional part of the circle

arc length = circumference * x/360

11 = 12 * x/360

Divide each side by 12

11/12 = 12/12 *x/360

11/12 = x/360

Multiply by 360

11*360/12 = x /360 *360

330 = x

The central angle is 330 degrees

7 0

3 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

3 years ago

One of the students was removed from the survey and replaced with a different student’s data.

Nostrana [21]

Answer:

immma send you the link friend me on here Step-by-step explanation:

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2 years ago

What percent of 100 is 14

Thepotemich [5.8K]

Answer:

14%

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Drag the values into the boxes to classify each number as rational or irrational. picture below pls help quick.

larisa [96]

Answer:

Step-by-step explanation:

Rational numbers;

Numbers which can be written in the form of $\frac{p}{q}$ or repeating decimal numbers are the rational numbers.

Examples : 1, 2, $\frac{2}{3}$

Irrational numbers:

Numbers which can't be written in he form of a fraction or non repeating decimal numbers are the Irrational number.

Example: $\sqrt{8},\pi,\sqrt{\frac{8}{21} }$

From the given numbers,

Rational numbers: $\frac{11}{3}$ , 6.25, 0.01045, $\sqrt{\frac{16}{81} }$ , 0.424242....

Irrational numbers: $\sqrt{48}, \sqrt{\frac{3}{16} }$

6 0

2 years ago