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igor_vitrenko [27]
3 years ago
15

Which shows a correct way to determine the volume of the right rectangular prism? ​

Mathematics
2 answers:
notka56 [123]3 years ago
8 0

Answer:

the last answer

Step-by-step explanation:

V=l*w*h\\l=8\\w=9\\h=1\\V=8*9*1\\V=72

kirza4 [7]3 years ago
8 0
The fourth one (l x w x h)
8 x 1 x 9= 72
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Evaluate the integral ∫2−1|x−1|dx
defon

I think you might be referring to the definite integral,

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx

Recall the definition of absolute value:

|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x

Then |x-1|=x-1 if x\ge1, and |x-1|=1-x is x. So spliting up the integral at <em>x</em> = 1, we have

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \int_{-1}^1(1-x)\,\mathrm dx + \int_1^2(x-1)\,\mathrm dx

The rest is simple:

\displaystyle \int_{-1}^2|x-1|\,\mathrm dx = \left(x-\dfrac{x^2}2\right)\bigg|_{-1}^1 + \left(\dfrac{x^2}2-x\right)\bigg|_1^2 \\\\ = \left(\left(1-\frac12\right)-\left(-1-\frac12\right)\right) + \left(\left(2-2\right)-\left(\frac12-1\right)\right) \\\\ = \boxed{\frac52}

5 0
3 years ago
Describe the graph of the function. y = |x – 4| – 7
Lemur [1.5K]

Answer:

This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:

(x-4)=0 ===> x=4,

so that now you have to plot 2 functions!

For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:

|x-4| = -(x-4)=4-x

Then:

for x<=4, y = -x+4-7 = -x-3

for x=>4, (x-4) is positive, so no changes:

y= x-4-7 = x-11,

Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11

In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:

x=4 and x= 3 for y=-x-3

And just x=5 for y=x-11

The reason is that the absolute value is continuous, so x=4 works for both:

x=4===> y=-4-3 = -7

x==4 ====> y = 4-11=-7!

abs() usually have a cusp int he point where it is =0

Step-by-step explanation:

5 0
3 years ago
Which model best fits this set of data?
Jobisdone [24]

we are given points as

(-2,-4)

(0,2)

(1,5)

we can points

and then we can join them

After that we can get idea about it's shape

we can see that

this is straight line

so, this is linear model

Hence, option-C................Answer

7 0
3 years ago
The circumference of a circle is 100.48 millimeters. What is the circle's radius?
Firlakuza [10]

Answer:

r=15.99

Step-by-step explanation:

r=C

2π=100.48

2·π≈15.99189

5 0
2 years ago
The area of ​​a triangle is 6,384cm ^ 2. Its base measures 93cm; How much is it's height?
Citrus2011 [14]

the height is 137.29

6 0
2 years ago
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