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Marat540 [252]
4 years ago
13

Find the average speed

Mathematics
1 answer:
goldenfox [79]4 years ago
8 0
18 minutes per km (90 total minutes divided by distance (5) = 18)
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Given vectors u = (−1, 2, 3) and v = (3, 4, 2) in R 3 , consider the linear span: Span{u, v} := {αu + βv: α, β ∈ R}. Are the vec
julia-pushkina [17]

Answer:

(2,6,6) \not \in \text{Span}(u,v)

(-9,-2,5)\in \text{Span}(u,v)

Step-by-step explanation:

Let b=(b_1,b_2,b_3) \in \mathbb{R}^3. We have that b\in \text{Span}\{u,v\} if and only if we can find scalars \alpha,\beta \in \mathbb{R} such that \alpha u + \beta v = b. This can be translated to the following equations:

1. -\alpha + 3 \beta = b_1

2.2\alpha+4 \beta = b_2

3. 3 \alpha +2 \beta = b_3

Which is a system of 3 equations a 2 variables. We can take two of this equations, find the solutions for \alpha,\beta and check if the third equationd is fulfilled.

Case (2,6,6)

Using equations 1 and 2 we get

-\alpha + 3 \beta = 2

2\alpha+4 \beta = 6

whose unique solutions are \alpha =1 = \beta, but note that for this values, the third equation doesn't hold (3+2 = 5 \neq 6). So this vector is not in the generated space of u and v.

Case (-9,-2,5)

Using equations 1 and 2 we get

-\alpha + 3 \beta = -9

2\alpha+4 \beta = -2

whose unique solutions are \alpha=3, \beta=-2. Note that in this case, the third equation holds, since 3(3)+2(-2)=5. So this vector is in the generated space of u and v.

4 0
3 years ago
(¡¡Please help!!)
Gnoma [55]

Answer:

Step-by-step explanation:

D is the answer

7 0
3 years ago
Read 2 more answers
Solve the following inequality: 10t + 7 , 200 > 21 , 000
Alla [95]

Answer:

t > 1380

Step-by-step explanation:

Subtract 7200 from both sides

10t + 7200 - 7200 > 21000 - 7200

Simplify

10t > 13800

Divide both sides by 10

10t/10 > 13800/10

Simplify

t > 1380

4 0
3 years ago
Can some one please help me to teach this to my daughter
EastWind [94]
28mi/1 hr = 28 mi/60 min = 1 mi/(60/28) min = 

28 mi/hr = 28 mi/60 min since there are 60 min in 1 hr
1 mi/(60/28) min since you divide top and bottom of 28/60 by 28 to get
1 mi/(60/28) min = 1mi/(15/7) min = 1 mi/ 2 1/7 min
3 0
3 years ago
-3(1+6r)+12=14. solve for r
emmasim [6.3K]

Answer: r = -5/18


Step-by-step explanation: You solve -3(1+6r)+12=14

-3-18r+12=14 (When distributed)

-18r+9=14

-18r=5

r=-5/18


6 0
3 years ago
Read 2 more answers
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