X3 + 2xsquared - x - 2 = (x + 6_)(x + 2_)(x + 4

dem82 [27]

Answer:

The number of sandwiches sold is 73. This is because it is multiplied by the expression for the money received per sandwich.

The cost to make each sandwich is S. This is stated in the first sentence of the problem.

The profit is 0.2S. This is because they sell each sandwich for an additional 20% of the cost ( S )

The amount of money the band receives is (S + 0.2S ). This is because it is the price per sandwich.

3 0

2 years ago

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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

How to know a triangle is congruent

yan [13]

The answer is SAS (side, angle, side) SAS stands for "side, angle, side" and means that we have two triangles where we know two sides and the included angle are equal. If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, thetriangles are congruent.

3 0

3 years ago

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What is 7 1/2 - 4 1/4

GarryVolchara [31]

The answer is 3.25 or 3 1/4

6 0

3 years ago

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A random sample of 25 college statistics textbook prices is obtained and the mean price is computed. To determine the probabilit

Lubov Fominskaja [6]

Answer:

We need to refer to the population distribution of all college statistics textbook prices.

Step-by-step explanation:

From the given information;

We are being given the sample size and the mean that has already been computed. Thus, to determine the probability of a more extreme mean, we need the t-test statistics value. In this case, we will need the sample mean, thus we need to refer to the population distribution of all college statistics textbook prices.

4 0

3 years ago

X3 + 2xsquared - x - 2 = (x + 6_)(x + 2_)(x + 4_)