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VladimirAG [237]
3 years ago
12

If vector u = <-3.5, -1.5> and vector v = <-1.25, 2.25>, which graph shows the resulting vector for 2v − u?

Mathematics
1 answer:
shusha [124]3 years ago
8 0

Answer:

See the attached figure.

Given:

u = (-3.5 , -1.5) and v = (-1.25 , 2.25)

So,

2v = 2 * (-1.25 , 2.25) = (-2.5, 4.5)

∴ 2v - u = (-2.5, 4.5) - (-3.5 , -1.5) = (1 , 6)

The graph of the vectors is as shown in the attached figure.

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His percentage is 9/15 = 0.6 x 100 = 60%

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Her percentage is: 12/16 = 0.75 x 100 = 75%

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3 years ago
The Russell family and the Gonzalez family each used their sprinklers last summer. The water output rate for the Russell family'
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Answer:

Russell family's sprinkler: 40 hours

Gonzales family's sprinkler: 20 hours

Step-by-step explanation:

Let's call the amount of time the Russell family's sprinkler was on by X, and the Gonzales family's sprinkler by Y.

We can then formulate the equations:

X + Y = 60

X*35 + Y*40 = 2200

We can solve this system multiplying the first equation by 35, and then subtracting the result from the second equation:

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Russell family's sprinkler: 40 hours

Gonzales family's sprinkler: 20 hours

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3 years ago
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3 years ago
Ronald spins a spinner that has 10 sections numbered from 1 to 10. What is the probability that the spinner lands on a prime num
vladimir1956 [14]
Prime number is a whole number that has no possible divisors that 1 and itself. Prime numbers are 2, 3, 5.7.11,13,17,19,23 and 29. From 1 to 10 there are 3 prime numbers: 3,5 and 7. 
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3 years ago
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Answer:

181 feets

Step-by-step explanation:

Given that:

Rate of change in water level = - 1.5 feets per month

Water level at beginning of May = 187 feets above sea level

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Total change after four months = rate of change per month * number of months

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Hence water level after 4 months :

187 feets + (-6 feets)

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= 181 feets

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