All categories

3 years ago

Use inductive reasoning to predict the next number in the pattern: 832, 208, 52...

Mathematics

2 answers:

Vinil7 [7]3 years ago

4 0

Answer:

A.) 13

Step-by-step explanation:

I took the test

Maksim231197 [3]3 years ago

3 0

The answer is B -228

You might be interested in

If an airplane’s speed is 850 miles/hour ? What is it’s speed in meters/seconds

Rasek [7]

Answer:

379.984 meters per second.

5 0

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.

4 0

3 years ago

Find three points that solve the equation x-3y = -7

serg [7]

$x-3y=-7\qquad|-x\\\\-3y=-x-7\qquad|:(-3)\\\\y=\dfrac{x+7}{3}$

<em>We choose any values of x and calculate the value of y</em>

$for\ x=-4\to y=\dfrac{-4+7}{3}=\dfrac{3}{3}=1\to(-4,\ 1)\\\\for\ x=-1\to y=\dfrac{-1+7}{3}=\dfrac{6}{3}=2\to(-1,\ 2)\\\\for\ x=2\to y=\dfrac{2+7}{3}=\dfrac{9}{3}=3\to(2,\ 3)$

<h3>Answer: (-4, 1), (-1, 2), (2, 3).</h3>

6 0

4 years ago

How do you identify points on a graph?

xeze [42]

Step-by-step explanation:

Your assignment probably gave you numbers, like (3,4) or (-5,6). They are graphed on the graph. the first number is where the y axis is and the y axis goes _____ on the coordinate plane. Then he second number is the x axis and that goes up and down like an l. To figure out what the points are you go first in the hose and up the stairs. Put your finger on the dot and count the lines it takes DOWN or UP to get to the middle line. If you ad a negative number you count up to the middle line and positives you count down. Write that number down like this (your 1st number here, Now go back to your point and and count how many lines to get to the middle line that goes up and down otherwise known as your y axis. You either count left or right to get to this line. Count the line it takes to get to that centered line. If you have to count t the right to get this number, mark it as negative. If you count to the left its positive. Now you answer should look like this just replaced with numbers instead of words. (First number here, Second number here) Good luck on your assignment!

3 0

3 years ago

Suppose that an experiment is repeated four times. A certain event has probability 1/10 in a single repetition of the experiment

Mazyrski [523]

Best thing you can do in order to answer all of this is to use the <span>Bernoulli trials. You can look for it and see if the answers I'm giving you are correct:
</span><span>Probability of occurring 4 times = (1/10)^4
Probability of never occurring = (9/10)^4
Probability that it occurs at least once = 1 - (9/10)^4
Probability that it occurs in the fourth trial only = (9/10)^3 * 1/10
</span>I think this is going to be very helpful

8 0

4 years ago

Read 2 more answers