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tangare [24]
3 years ago
8

You are making flour and water paste. You add 14 cup of water to the paste. Your friend adds 12 cup of water to the paste. How m

uch water did the two of you add?
Mathematics
1 answer:
patriot [66]3 years ago
8 0

Answer:

<h2><u>26</u></h2>

Step-by-step explanation:

              14

            +

              12

            --------

              26

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572 cars were parked in a parking garage. The same number of cars was parked on each floor. If there were 4 floors, how many car
tatuchka [14]

Answer:

143 cars on each floor

Step-by-step explanation:

572 / 4 = 143

4 0
2 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
Which situation explains how a credit becomes a debt?
mylen [45]
The answer is A because its the only answer that explains the process of credit becoming debt correctly.
5 0
2 years ago
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What is the exponenet in the expression 2.528*10*10*10*10*10*10*10*10
german

Answer:

Step-by-step explanation:

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3 0
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5 0
3 years ago
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