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nadya68 [22]
3 years ago
8

Please Help me!!

Mathematics
1 answer:
yanalaym [24]3 years ago
3 0
The answer would be E= 27 miles
You would start out by figuring out how many hours it would take him to swim by dividing 6/2 to get 3 then you would find out how long it would take him to run by dividing 15/6 to get 2.5 and you would add that to the 3 to get 5.5 and subtract that by 7 to get 1.5 which is how long he will have to complete leg 3 so you would take 18x1.5 to get 27 mph
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Let u,v,wu,v,w be three linearly independent vectors in R7R7. Determine a value of kk, k=k= , so that the set S={u−3v,v−2w,w−ku}
11Alexandr11 [23.1K]

Answer:

1/6

Step-by-step explanation:

For a set of vectors a, b and c to be linearly dependent, the linear combination of the set of vectors must be zero.

C1a + C2b + C3c = 0

From the question, we are given the set S={u−3v,v−2w,w−ku}, the corresponding vectors are a(0, -3, 1), b(-2,1,0) and c(1,0,-k)

The values in parenthesis are the ccoefficients of w, v and u respectively.

On writing this vector as a linear combination, we will have;

C1(0, -3, 1) + C2(-2,1,0) + C3(1,0,-k) = (0,0,0)

0-2C2+C3 = 0........ 1

-3C1+C2 = 0 ........... 2

C1-kC3 = 0 ….......... 3

From equation 2, 3C1 = C2

Substituting into 1, -2(3C1)+C3 = 0

-6C1+C3 = 0

-6C1 = -C3

6C1 = C3.…..4

Substitute 4 into 3 to have

C1-k(6C1) = 0

C1 = k6C1

6k = 1

k = 1/6

Hence the value of k for the set of vectors to be linearly dependent is 1/6

6 0
2 years ago
An office manager reported that he spent $350 on gifts for employees. He said that $240 was spent on clothing with each man rece
Allushta [10]

Answer:

So I assume we are figuring out the number of men and women here, so:

m + 2w = 12

m = 12 - 2w

12 - 2w + 3w = 22

w = 10

m + 2w = 12

m + 2(10) = 12

m + 20 = 12

m = -8

8 0
3 years ago
Solve -4y - 3 + 3y = 8 - 2y -15, interpret the result
Elenna [48]

Answer:

y = -4

Step-by-step explanation:

-4y - 3 + 3y = 8 - 2y - 15

~Combine like terms

-y - 3 = -2y - 7

~Add 3 to both sides

-y = -2y - 4

~Add 2y to both sides

y = -4

Best of Luck!

8 0
3 years ago
Plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Eva8 [605]
I think the answer is C.

First start by factoring, you should get (2n-3)(n-2)=0

Then start to solve for n.

2n-3=0

n-2=0

n=2, n= 3/2

I hope that helps.
7 0
3 years ago
How many cups does a gallon equals
kolbaska11 [484]

Answer:

Step-by-step explanation:

There are 16 cups in a gallon

5 0
2 years ago
Read 2 more answers
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