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scoray [572]
2 years ago
8

What is the difference 1/8 - 3/10 a.17/40 b.7/40 c.-3/40 d.7/40

Mathematics
1 answer:
UNO [17]2 years ago
8 0

Answer:

c

Step-by-step explanation:

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Product of (x+y+2)(y+1)
andre [41]

Answer: x ( y + 1) + y ( y + 3) + 2

Step-by-step explanation:

( x + y + 2) ( y + 1)

x ( y + 1) + y ( y + 1) + 2 ( y + 1)

expanding the bracket

( xy + x) + ( y2 + y) + ( 2y + 2)

removing the bracket

xy + x + y2 +y + 2y + 2

collecting like terms

xy + x + y2 + 3y + 2

given as: x(y + 1) + y ( y + 3) + 2

6 0
3 years ago
EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the
solong [7]

Answer:

<h2>a) f =  sin(yz)i + xzcos(yz)j + xycos(yz)k</h2><h2>b) -2</h2>

Step-by-step explanation:

Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;

fx, fy and fz are the differential of the functions with respect to x, y and z respectively.

a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k

The gradient of f =  sin(yz)i + xzcos(yz)j + xycos(yz)k

b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v

∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k

∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k

∇f(1, 2, 0) = 0i +0j + 2k

Given v = i + 4j − k

∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)

∇f(1, 2, 0)*v =  (0i +0j + 2k)*(i + 4j − k )

Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0

∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k

∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)

∇f(1, 2, 0)*v =0+0-2

∇f(1, 2, 0)*v= -2

 

Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2

7 0
3 years ago
I need help with this please
Helen [10]

So burger king offers 10 chicken nuggets for $1.49

   1 chicken nugget = price for 10 chicken nugget / 10 chicken nugget

                         = $1.49 / 10 = $0.15 per nugget (approximated)

Hope that helps!

8 0
2 years ago
Please add the numbers to the graph and show the work on a paper and post it please if you do not know the answer do not comment
tresset_1 [31]

Answer:

merry crisis

Step-by-step explanation:

8 0
3 years ago
steve and scott are twins out for a morning jog. They run at the exact same speed They split at a corner one north, one east. On
trasher [3.6K]
Their running paths form the legs of an isosceles right triangle. The hypotenuse of such a triangle (the distance between Steve and Scott) is √2 times the length of one leg. Each has run 10 miles in the hour since they split.

They are running at 10 miles per hour.
4 0
3 years ago
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