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2 years ago

PLEASE HELP ME!!!! WILL GIVE BRAINLEYEST AND 5 STARS!!

Mathematics

1 answer:

ratelena [41]2 years ago

5 0

Answer:

fraction negative 3 over 5 is to the right of −0.8 and to the left of 0

Step-by-step explanation:

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Can you please do the mean median mode and range for this chart please.

AlexFokin [52]

Median: 9

Mode: 9&11

Range: 11

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3 years ago

Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve about the x-axis. Compare y

DiKsa [7]

The area of the surface is given exactly by the integral,

$\displaystyle\pi\int_0^5\sqrt{1+(y'(x))^2}\,\mathrm dx$

We have

$y(x)=\dfrac15x^5\implies y'(x)=x^4$

so the area is

$\displaystyle\pi\int_0^5\sqrt{1+x^8}\,\mathrm dx$

We split up the domain of integration into 10 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], ..., [4, 9/2], [9/2, 5]

where the left and right endpoints for the $i$ -th subinterval are, respectively,

$\ell_i=\dfrac{5-0}{10}(i-1)=\dfrac{i-1}2$

$r_i=\dfrac{5-0}{10}i=\dfrac i2$

with midpoint

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

with $1\le i\le10$ .

Over each subinterval, we interpolate $f(x)=\sqrt{1+x^8}$ with the quadratic polynomial,

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

Then

$\displaystyle\int_0^5f(x)\,\mathrm dx\approx\sum_{i=1}^{10}\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx$

It turns out that the latter integral reduces significantly to

$\displaystyle\int_0^5f(x)\,\mathrm dx\approx\frac56\left(f(0)+4f\left(\frac{0+5}2\right)+f(5)\right)=\frac56\left(1+\sqrt{390,626}+\dfrac{\sqrt{390,881}}4\right)$

which is about 651.918, so that the area is approximately $651.918\pi\approx\boxed{2048}$ .

Compare this to actual value of the integral, which is closer to 1967.

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3 years ago

Maria is mailing packages. each small package costs her $2.20 to send. each large package costs her $2.90. how much will it cost

dlinn [17]

Multiply 2.90 by 6 and multiply 2.90 by 4 then add them and you get your answer

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3 years ago

If the sum of twice a number and 3 is 15. what is the value of 8x?

Aloiza [94]

Answer:

Step-by-step explanation:

2x + 3 = 15

2x = 15-3

2x = 12

x = 12 ÷ 2

x = 6

8x = 6 × 8

8x = 48

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3 years ago

For the Recursive Formula An = an-1 + d, what does the An-1 represent?

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Answer:

answer is d

if this helps can i get brainliest

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3 years ago