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4 years ago

Absolute value of -|-2|

Mathematics

2 answers:

RUDIKE [14]4 years ago

3 0

The absolute value of |-2| is 2 then you have to add the negative sign on the outside, so the answer will be -2

iragen [17]4 years ago

3 0

The answer would be -2

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Be sure to answer all parts. List the evaluation points corresponding to the midpoint of each subinterval to three decimal place

gayaneshka [121]

Answer:

The Riemann Sum for $\int\limits^5_4 {x^2+4} \, dx$ with n = 4 using midpoints is about 24.328125.

Step-by-step explanation:

We want to find the Riemann Sum for $\int\limits^5_4 {x^2+4} \, dx$ with n = 4 using midpoints.

The Midpoint Sum uses the midpoints of a sub-interval:

$\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f\left(\frac{x_0+x_1}{2}\right)+f\left(\frac{x_1+x_2}{2}\right)+f\left(\frac{x_2+x_3}{2}\right)+...+f\left(\frac{x_{n-2}+x_{n-1}}{2}\right)+f\left(\frac{x_{n-1}+x_{n}}{2}\right)\right)$

where $\Delta{x}=\frac{b-a}{n}$

We know that a = 4, b = 5, n = 4.

Therefore, $\Delta{x}=\frac{5-4}{4}=\frac{1}{4}$

Divide the interval [4, 5] into n = 4 sub-intervals of length $\Delta{x}=\frac{1}{4}$

$\left[4, \frac{17}{4}\right], \left[\frac{17}{4}, \frac{9}{2}\right], \left[\frac{9}{2}, \frac{19}{4}\right], \left[\frac{19}{4}, 5\right]$

Now, we just evaluate the function at the midpoints:

$f\left(\frac{x_{0}+x_{1}}{2}\right)=f\left(\frac{\left(4\right)+\left(\frac{17}{4}\right)}{2}\right)=f\left(\frac{33}{8}\right)=\frac{1345}{64}=21.015625$

$f\left(\frac{x_{1}+x_{2}}{2}\right)=f\left(\frac{\left(\frac{17}{4}\right)+\left(\frac{9}{2}\right)}{2}\right)=f\left(\frac{35}{8}\right)=\frac{1481}{64}=23.140625$

$f\left(\frac{x_{2}+x_{3}}{2}\right)=f\left(\frac{\left(\frac{9}{2}\right)+\left(\frac{19}{4}\right)}{2}\right)=f\left(\frac{37}{8}\right)=\frac{1625}{64}=25.390625$

$f\left(\frac{x_{3}+x_{4}}{2}\right)=f\left(\frac{\left(\frac{19}{4}\right)+\left(5\right)}{2}\right)=f\left(\frac{39}{8}\right)=\frac{1777}{64}=27.765625$

Finally, use the Midpoint Sum formula

$\frac{1}{4}(21.015625+23.140625+25.390625+27.765625)=24.328125$

This is the sketch of the function and the approximating rectangles.

5 0

4 years ago

Give the diagram below find the value of x

Aleks [24]

Answer:

Well this is Same side interior angles which would mean that its supplementary or 180.

So we can just,

4x-2+17x+14=180

Combine like terms

21x+12=180

Perform inverse

21x=168

Divide/isolate

x=8

So the value of (x) is 8

Step-by-step explanation:

Well here’s a little tip that might help

So in order to identify interior/exterior angles you have to find the location. The two lines are whats separates the inner and the outter.

The Outter are outside the two parralel lines, their not in between. There are 4 exterior angles.

The inner are the 4 angles between the two parralel lines. There are 4 interior angles.

So there are 5 different ways you would usually hear them.

Alternate interior angle

Alternate exterior angle

Same side exterior (or better known as Converese of the same side exterior)

Same side interior (better known as the converse of the same side interior)

Corresponding

Alternate is basically different sides, but they gotta be only one angle choice, exterior or interior, if correct it makes this slash or back slash if you connect the points.

Same side is basically same side and they have to be the right type (exterior/ interior)

Corresponing has to be the same side also but they have to have.One interior and one exterior.

Corresponing angles are congruent (equal)

Alternate exterior/interior are congruent (equal)

Same side exterior/interior Are supplemenaty (they equal 180)

5 0

3 years ago

5 + root2 over 4 + root18

mafiozo [28]

Hope this helps!! :)

3 0

3 years ago

How do you factor 10x squared yz - 22x cubed y squared z

zvonat [6]

10x^2yz - 22x^3
=2x^2 (5yz - 11x)

Hope this helps!

3 0

4 years ago

Read 2 more answers

What is the slope and Y intercept?

kirill [66]

Answer:

Y intercept = (0,10)

slope is 4

Step-by-step explanation:

Ok so Start with y intercept. That’s the point it crosses the y axis. So that would be ( 0, 10). To find slope, you do rise/run. Or how far up, and how far right. take two points (0,10) and (1, 14)

14-10

——-

1-0

= 4/1 = 4

so the slope is 4.

7 0

3 years ago