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Alekssandra [29.7K]
3 years ago
11

What is 8 1/2 - 3/4 This is for a short passage please help!

Mathematics
1 answer:
Flura [38]3 years ago
5 0
The answer is 7.75.......
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Let R = [ 0 , 1 ] × [ 0 , 1 ] R=[0,1]×[0,1]. Find the volume of the region above R R and below the plane which passes through th
Bond [772]

The three vectors \langle0,0,1\rangle, \langle1,0,8\rangle, and \langle0,1,9\rangle each terminate on the plane. We can get two vectors that lie on the plane itself (or rather, point in the same direction as vectors that do lie on the plane) by taking the vector difference of any two of these. For instance,

\langle1,0,8\rangle-\langle0,0,1\rangle=\langle1,0,7\rangle

\langle0,1,9\rangle-\langle0,0,1\rangle=\langle0,1,8\rangle

Then the cross product of these two results is normal to the plane:

\langle1,0,7\rangle\times\langle0,1,8\rangle=\langle-7,-8,1\rangle

Let (x,y,z) be a point on the plane. Then the vector connecting (x,y,z) to a known point on the plane, say (0, 0, 1), is orthogonal to the normal vector above, so that

\langle-7,-8,1\rangle\cdot(\langle x,y,z\rangle-\langle0,0,1\rangle)=0

which reduces to the equation of the plane,

-7x-8y+z-1=0\implies z=7x+8y+1

Let z=f(x,y). Then the volume of the region above R and below the plane is

\displaystyle\int_0^1\int_0^1(7x+8y+1)\,\mathrm dx\,\mathrm dy=\boxed{\frac{17}2}

6 0
2 years ago
Y=-5x+3 in standard form
vazorg [7]
Standard form =
ax + by = c

y = -5x + 3
Add 5x to both sides.

5x + y = 3
And this is your answer.
6 0
3 years ago
I need to know the answer and how to get it
sergejj [24]
The answer is 5+b, so when b= 14.99, then 5+14.99=$19.99
hope this helps! 

5 0
2 years ago
A cookie factory used 43.9 kilograms of chocolate chips to make 2 batches of cookies. How many kilograms of chocolate chips did
maxonik [38]

Answer:21.95

Step-by-step explanation:

You have 43.90 and divided everything by 2 you get 21.95

4 0
3 years ago
A plane flies 640 mi with the wind in the same time that it takes to fly 440 mi against the wind. If this plane flies at the rat
777dan777 [17]

Answer:

what that this answer ⁉️

6 0
2 years ago
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