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beks73 [17]
2 years ago
11

Describe a vectors v = [x y] that are orthogonal to u = [a b]. If u is not the zero vector, then v is a multiple of [a b]. If u

is not the zero vector, then v is a multiple of [a -b]. If u is not the zero vector, then v is a multiple of [a -b]. If u is not the zero vector, then v is a multiple of [a -b]. If u is not the zero vector, then v is a multiple of [a + b a - b].
Mathematics
1 answer:
hoa [83]2 years ago
6 0

Answer:

Step-by-step explanation:

Sbdbshee

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A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the
Stells [14]

Answer:

\frac{5}{3} in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box=L\times B\times H

Substitute the values then we get

Volume of box=V(x)=(8-2x)(15-2x)x=(15x-2x^2)(8-2x)

V(x)=120x-30x^2-16x^2+4x^3

V(x)=4x^3-46x^2+120x

Differentiate w.r.t x

V'(x)=12x^2-92x+120

V'(x)=0

12x^2-92x+120=0

3x^2-23x+30=0

3x^2-18x-5x+30=0

3x(x-6)-5(x-6)=0

(x-6)(3x-5)=0

x-6=0\implies x=6

3x-5=0\implies x=\frac{5}{3}

Again differentiate w.r.t x

V''(x)=24x-92

Substitute x=6

V''(6)=24(6)-92=52>0

Substitute x=5/3

V''(5/3)=24(5/3)-92=-52

Hence, the volume is maximum at x=\frac{5}{3}

Therefore, the side of the square ,x=\frac{5}{3} in cutout that gives the box the largest possible volume.

5 0
2 years ago
8.3 x 10 to the 3rd power
masha68 [24]


If your looking at a number to a power (in this case, 3 [cubed]), you multiply the base by the exponent. I would start with the 10 - 10x10x10 = 1,000


Next, multiply your answer by 8.3. You now have 8,300 :)

8 0
3 years ago
Read 2 more answers
P( not the Ace of clubs?​
galben [10]
Where is the question? Are you playing solitaire
7 0
3 years ago
What is the 20th term to -30,-22,-14,-6?
galben [10]
98.
The numbers increase by intervals of 8. You need 16 more terms until you reach the 20th term, so 16*8=128.
128-30=98.
5 0
2 years ago
All perfect numbers from 20 to 30
lana [24]

Answer:

There is only one perfect number between 20 to 30 which is 28.

<h3>Explanation:</h3>

The number 28 is a perfect number because its factors are 1, 2, 4, 7, 14 and 28.

7 0
2 years ago
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