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3 years ago

What is the simplest form of 3/5 + 1/3

Mathematics

1 answer:

Lesechka [4]3 years ago

7 0

Answer:

8/15 +5/15 = 12/15 = 4/5

Step-by-step explanation:

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If f(x) = (x3 − 4)7, then what is f '(x)?

Genrish500 [490]

Answer:

its c jut took the test

Step-by-step explanation:

4 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

A school play sells adult and child tickets. On Friday they sold 55 child tickets and 20 adult tickets for $200. On Saturday the

Anarel [89]

Answer:

Step-by-step explanation:

Let, price of individual child ticket is $x, and price of individual adult ticket is $y.

Now, on Friday we can write an equation is 55x+20y=200....(1).

and on Saturday we can write an equation is 72x+36y=306.....(2).

so, Equation 1: 55x+20y=200

Equation 2: 72x+36y=306

now, we are going to solve both equations.

after solving you will find x=2 and y=4.5

Hence, we can say that the cost of child ticket is $2, and the cost of adult ticket is $4.50.

4 0

3 years ago

△EFG≅△JKL.<br><br> What is m∠L?

snow_lady [41]

M∠E ≅ m∠J
m∠F ≅ m∠K
m∠G ≅ m∠L

So, m∠ L is 58.

4 0

3 years ago

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Janet saved $400 dollars. She decided to spend 130 on clothes. What percentage of her money did she spend on clothes?

adell [148]

Answer:

32.5

Step-by-step explanation:

4 0

3 years ago

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