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3 years ago

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A curtain manufacturer uses a 909090-yard roll of material to make 777 identical curtains. There was 7.757.757.75 yards of mater

ial left over.
How many yards were needed for each curtain?

1 answer:

Nataliya [291]3 years ago

8 0

Answer:

um 93455.9999?~~~~~

Step-by-step explanation:

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The volume of a cube is 125 Ft³ what are the dimensions of the cube?

Nikolay [14]

Answer:

the sides are 5ft long

Step-by-step explanation:

since it is a cube we know each side is the same and the cube root of 125 is 5

8 0

2 years ago

Read 2 more answers

mrs Moore worked 42 hours and 35 minutes last week. How many hours and minutes did she average in each of the five days?

il63 [147K]

Answer:

6.08333333 hours

Step-by-step explanation:

((42 hours) + (35 minutes)) / 7 = 6.08333333 hours

hope this helps LOL :)

8 0

3 years ago

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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.

4 0

3 years ago

Draw a visual representation to show eleven hundredths

Norma-Jean [14]

Make a rectangle that is 10 squares by 10 squares and color in 11 squares.

3 0

3 years ago

Hanna's dad is designing a new rectangular garden for his backyard. He has a 20ft fence to put around the garden. He wants the l

vovangra [49]

Answer:

<em>3 3/4 feet</em>

Step-by-step explanation:

Given

Perimeter of the garden = 20ft

If he wants the length of the garden to be 2 1/2 longer than its width, then;

L = 2 1/2 + W

L is the length

W is the width

Perimeter of the garden = 2(L+W)

P20 = 2(5/2 + W+W)

20 = 5 + 2W+2W

20 - 5 = 4W

15 = 4W

W = 15/4

<em>W = 3 3/4 ft</em>

<em>Hence the width of the garden is 3 3/4 feet</em>

7 0

3 years ago