Vector u has its initial point at (15, 22) and its terminal point at (5, -4). Vector v points in a direction opposite that of u,
and its magnitude is twice the magnitude of u. What is the component form of v?
1 answer:
Though the vectors are going in opposite directions, their terminal and starting points are the same, just switched, check the picture below.
recall the component for (a,b), (c,d) is just (c-a , d-b),
the component form for "v" is then
(5, -4), (15, 22) => (15 - 5, 22-(-4)) => (15 - 5, 22+4) => (10 , 26).
and since "v" is twice as long as "u", then its form is 2v, or
2(10 , 26) => (20, 52)
recall the component for (a,b), (c,d) is just (c-a , d-b),
the component form for "v" is then
(5, -4), (15, 22) => (15 - 5, 22-(-4)) => (15 - 5, 22+4) => (10 , 26).
and since "v" is twice as long as "u", then its form is 2v, or
2(10 , 26) => (20, 52)
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Complete Question
The complete question is shown on the first uploaded image
Answer:
the null hypothesis is
the alternative hypothesis is
The test statistics is
The p-value is
so
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is n= 38
The sample mean is
The standard deviation is
Generally the null hypothesis is
the alternative hypothesis is
Generally the test statistics is mathematically evaluated as
substituting values
The p-value is mathematically represented as
From the z- table
So
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It takes the rocket 25 seconds to hit the ground
The height function is given as:
When the rocket hits the ground, we have:
h(t) = 0
So, the height function becomes
Rewrite as:
Divide both sides by 16t
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