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Yuliya22 [10]
2 years ago
11

NO LINKS WHATSOEVER!!! SPAMMERS WILL BE IMMEDIATELY REPORTED!!! A gardener plants a row of eight trees chosen from three maples,

two oaks, and four birches. In how many ways can he plant the row?
Mathematics
1 answer:
12345 [234]2 years ago
8 0

Answer: 362,880

Step-by-step explanation: At first glance of the question, it doesn't seem that the order matters, which would make it a question of how many combinations there are.  The simple way to look at it is that there are 9 trees and he's planting 8, leaving out 1.  Since there are 9 possible trees to leave out, there are 9 possible combinations of which 8 trees to plant.  

The formula would be 9!/([9-8]!*8!) = 9

If the question is indeed asking for permutations (order matters), since you are choosing 8 out of 9 the formula would be 9!/(9-8)! = 9!/1! = 9! = 362,880

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If you run 1/2 miles on Friday, 2/3 of a mile Saturday, how many miles will you run on sunday
Natasha_Volkova [10]

Answer:

3/4

Step-by-step explanation:

because it goes 1-2 then 2-3 so then 3-4

8 0
3 years ago
Compare 2/8 to 1/2 write to explain you step by step
Softa [21]

Answer:

2/8 is one-half as much as 1/2

Step-by-step explanation:

Change the denominators to the same number.

2/8 is already okay

1/2=4/8

now

2/8 would be one-half as much as 4/8

7 0
3 years ago
Let v = (v1, v2) be a vector in R2. Show that (v2, −v1) is orthogonal to v, and use this fact to find two unit vectors orthogona
andrey2020 [161]

Answer:

a. v.v' = v₁v₂ -  v₁v₂ = 0 b.  (20, -21)/29 and  (-20,21)/29

Step-by-step explanation:

a. For two vectors a, b to be orthogonal, their dot product is zero. That is a.b = 0.

Given v = (v₁, v₂) = v₁i + v₂j and v' =  (v₂, -v₁) = v₂i - v₁j, we need to show that v.v' = 0

So, v.v' = (v₁i + v₂j).(v₂i - v₁j)

= v₁i.v₂i + v₁i.(- v₁j) + v₂j.v₂i + v₂j.(- v₁j)

= v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j

i.i = 1, i.j = 0, j.i = 0 and j.j = 1

So, v.v' = v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j  

= v₁v₂ × 1 - v₁v₁ × 0 + v₂v₂ × 0 - v₂v₁ × 1

= v₁v₂ - v₂v₁

=  v₁v₂ -  v₁v₂ = 0

So, v.v' = 0

b. Now a vector orthogonal to the vector v = (21,20) is v' = (20,-21).

So the first unit vector is thus a = v'/║v'║ = (20, -21)/√[20² + (-21)²] = (20, -21)/√[400 + 441] = (20, -21)/√841 = (20, -21)/29.

A unit vector perpendicular to a and parallel to v is b = (-21, -20)/29. Another unit vector perpendicular to b, parallel to a and perpendicular to v is thus a' = (-20,-(-21))/29 = (-20,21)/29

8 0
2 years ago
Does 6 3/8 - 4 3/4 = 4 3/4
UNO [17]

Answer:

no it doesnt

Step-by-step explanation:

4 0
2 years ago
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What type of solution is this?<br> 7=7
alex41 [277]

Answer:

I'm 99% sure it's infinite solutions

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3 years ago
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