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Dominik [7]
3 years ago
8

The vector u is graphed. which of the vectors below would be orthogonal to vector u?

Mathematics
1 answer:
Sidana [21]3 years ago
5 0

ANSWER

< \frac{1}{5}  , -   \frac{1}{3}  \:  >

EXPLANATION

The given vector , u has the following components,

u =  <  \:  - 5 , -  3 \:  >

If two vectors are orthogonal, then their dot product is zero.

<  \:  - 5 , -  3 \:  >  \bullet <  \:   \frac{1}{5}  , -   \frac{1}{3}  \:  >  =  - 5 \times  \frac{1}{5}  \times  - 3 \times  -  \frac{1}{3}  =  - 1 + 1 = 0

Hence,the vector

< \frac{1}{5}  , -   \frac{1}{3}  \:  >

is orthogonal to vector u.

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You and your friend go to tacos Galore for lunch. You order 3 soft tacos and 4 burritos and your bill comes out to $18.00. Your
Korolek [52]

Answer:

Soft Tacos = 2

Burritos= 3

Step-by-step explanation:

You

3 x 2 = 6

18 - 6 = 12

12/4= 3

You spent 6$ on soft tacos and 12$ on burritos.

Your friend

2 x 2 = 4

10-4 = 6

6/2 = 3

Your friend spent 4$ on soft tacos and 6$ on burritos.

I hope I explained this well.

6 0
3 years ago
What is a way to write 11 more than twice x is less than 44
madam [21]

(2x) + 11 < 44

x is multiplied by two because we are looking for twice of x. 11 is added to the 2x because we are looking for eleven more than the sum of twice of x. Since 2x + 11 is less than 44, we use the lesser than ( < ) symbol.

4 0
3 years ago
Read 2 more answers
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Alex787 [66]

40×4×4=640

b=20 h=4

using formula:

1/2×base×height

1/2×20×4=40

its says scale by factor 4:

b=80 h=16

using formula:

1/2×base×height

1/2×80×16=640

answer------>>>>640cm^2

8 0
3 years ago
A school custodian discovered a leak in a water pipe. The custodian found that 1920 fluid ounces of water leaked out. How many g
shtirl [24]
1920 fL/128G
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8 0
4 years ago
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Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be f(p) = −0.01p2 + 9p, where p and f(p)
Nimfa-mama [501]

Answer:

The population that gives the maximum sustainable yield is 45000 swordfishes.

The maximum sustainable yield is 202500 swordfishes.

Step-by-step explanation:

Let be f(p) = -0.01\cdot p^{2}+9\cdot p, the maximum sustainable yield can be found by using first and second derivatives of the given function: (First and Second Derivative Tests)

First Derivative Test

f'(p) = -0.02\cdot p +9

Let equalize the resulting expression to zero and solve afterwards:

-0.02\cdot p + 9 = 0

p = 450

Second Derivative Test

f''(p) = -0.02

This means that result on previous part leads to an absolute maximum.

The population that gives the maximum sustainable yield is 45000 swordfishes.

The maximum sustainable yield is:

f(450) = -0.01\cdot (450)^{2}+9\cdot (450)

f(450) =2025

The maximum sustainable yield is 202500 swordfishes.

6 0
3 years ago
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