Give a real world example of an equation which the constant

Find a vector that has the opposite direction of u = (1,-2,4), but which has length square root of 3.

Lina20 [59]

Normalize $\vec u$ by dividing $\vec u$ by its magnitude:

$\dfrac{\vec u}{\|\vec u\|}=\dfrac{(1,-2,4)}{\sqrt{1^2+(-2)^2+4^2}}=\dfrac{(1,-2,4)}{\sqrt{21}}$

Multiply by -1 to reverse its direction, and again by $\sqrt3$ to ensure this new vector has the magnitude we want. Notice that $\sqrt{\dfrac3{21}}=\dfrac1{\sqrt7}$ .

$-\sqrt3\dfrac{\vec u}{\|\vec u\|}=\dfrac{(-1,2,-4)}{\sqrt7}$

6 0

4 years ago

Evaluate 1/3 21-1-1/2 12

bearhunter [10]

Answer:

0

Step-by-step explanation:

Simplify 1/2

Equation at the end of step 1 :

1 1

((— • 21) - 1) - (— • 12)

3 2

Step 2 :

1

Simplify —

3

Equation at the end of step 2 :

1

((— • 21) - 1) - 6

3

Step 3 :

Pulling out like terms :

3.1 Pull out 6

After pulling out, we are left with :

6 • ( 1 +( (-1) ))

Final result :

0

7 0

4 years ago

Her house is at (-4, 10). Her school is at (-4, 3). The community center is at (2, 3) The grocery store is at (-4, -6) Part A: U

Paha777 [63]

For part A, we will see that the distance is 7 units. For part B, the distance from Nina's house to the school to the grocery store is larger.

<h3>How to find the distances?</h3>

Remember that the distance between two points (a, b) and (c, d) is:

$D = \sqrt{(a - c)^2 + (b - d)^2}$

A) Her house is at (-4, 10), and her school is at (-4, 3), so the distance is:

$D = \sqrt{(-4 - (-4))^2 + (10 - 3)^2} = \sqrt{7^2} = 7$

The distance is 7 units.

B) In the first case, the distance between the school and the grocery store is:

$D' = \sqrt{(-4 - (-4))^2 + (3 - (-6))^2} = 9$

So the total distance is 9 + 7 = 16

And the distance between the school and the community center is:

$D'' = \sqrt{(-4 - 2)^2 + (3 - 3)^2} = 6$

So the total distance is 6 + 7 = 13

So we can see that the total distance from Nina's house, to the school, to the grocery store is larger than the other.

If you want to learn more about distance:

brainly.com/question/23848540

#SPJ1

6 0

3 years ago

Plz help ASAP!! A surgical technique is performed on eight patients. You are told that there is an 80% chance of success. Find t

Katyanochek1 [597]

Answer:

This is a fairly simple binomial distribution. We know it's binomial, because we're looking for a "fixed" number of patients, not the "first" like a geometric.

You can use your calculator:

binomcdf(n,p,Kr)

n=population, p=probability, Kr=number you're looking for

binomcdf(8,.8,1)

We have to do 1, not 2, because it says <em>fewer than 2, </em>which means 1.

= 8.448 x 10⁻⁵ = .00008448, which is approximately the answer given!

3 0

3 years ago

Boxes of bad vampire novels arrive, on average, every 8 minutes at an industrial-strength shredder. The standard process to load

oee [108]

Answer:

0.578 hours

Step-by-step explanation:

If boxes of books arrive at a rate of 1 per 8 minutes, the number of boxes per hour is:

$\mu =\frac{1}{8}*60=7.5/hour$

If the service rate is 1 box per 6.5 minutes, the number of boxes per hour is:

$\mu =\frac{1}{6.5}*60=9.231/hour$

The average time from when a box of novels arrives until shredding is complete is:

$t=\frac{1}{\mu-\lambda}=\frac{1}{9.231-7.5} \\t=0.578\ hours$

The average time in the system is 0.578 hours.

8 0

4 years ago