1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
pychu [463]
2 years ago
15

If 40 is increased to 56, what is the percent of change? a80% b29% c40% d71%

Mathematics
1 answer:
Black_prince [1.1K]2 years ago
3 0

Answer:40%

Step-by-step explanation:

You might be interested in
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
Given the following similar triangles, find x.​
Vsevolod [243]
I’ll help if u attach the pic of the question:)
3 0
2 years ago
Read 2 more answers
A copy machine makes 32 copies per minute. How many copies does it make in 4 minutes and 15 seconds?
ki77a [65]

Answer:

136

Step-by-step explanation:

32*4=128

15=1/4 of a minute

32/4=8

128+8=136

6 0
2 years ago
Read 2 more answers
Matt uses a compass and straightedge to construct parallel lines. Annie uses technology. In your own words describe how Matts co
ra1l [238]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Matt's steps will be more complicated since Annie is using a program to do the constructions hers would probably be precise and easy. 
5 0
2 years ago
Zachary invests $400 into an account that earns 3.5% simple interest for 5 years. He does not make any other deposits or withdra
Zinaida [17]

Answer:

Zachary invests $470 into the account that earns 5% simple interest. At the end of 2 years, the account balance is $517

Step-by-step explanation:

I took the test

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is the answer to this question?
    14·1 answer
  • a student found the slope of a line that passes through the point (-3,-10) and (5,-7) to be 3/8 what mistake did he make
    13·1 answer
  • Two lines intersecting at a right angle form
    13·2 answers
  • How do you work this out? We have to make one positive and the other negative then put it on a graph correctly
    10·1 answer
  • Write an equation of a line in point-slope form that has a slope of -2 and passes through (5, -1).
    13·1 answer
  • Pls help taking im taking
    8·1 answer
  • Graph y + 1 = -3/5(x + 5)
    11·1 answer
  • Find the missing number so that the equation has no solutions. _x-18=-3(x+4)
    5·1 answer
  • A car can be rented for ​$95 per week plus ​$0.20 per mile. How many miles can be driven if you have at most ​$370 to spend for
    15·1 answer
  • ∠EFG and ∠GFH are a linear​ pair, m∠EFG=3n+23​, and m∠GFH=2n+32. What are m∠EFG and m∠​GFH?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!