All categories

3 years ago

5.

Mathematics

1 answer:

kari74 [83]3 years ago

3 0

The length of the vector <-4,-3> is

$\sqrt{(-4)^2+(-3)^2}=\sqrt{16+9}=\sqrt{25}=5$

So, if we divide the components by 5, we'll get a vector with unitary length:

$v=\left(-\dfrac{4}{5}, -\dfrac{3}{5}\right) \implies |v| = \sqrt{\left(-\dfrac{4}{5}\right)^2+\left(-\dfrac{3}{5}\right)^2}=\sqrt{\dfrac{16}{25}+\dfrac{9}{25}}=\sqrt{\dfrac{25}{25}}=1$

You might be interested in

Assume the rate of inflation is 8% per year for the next 2 years. What will be the cost of goods 2 years from now, adjusted fo

Paha777 [63]

<h3>Answer: $326.59</h3>

==============================================

Work Shown:

F = future value

P = present value = 280

r = rate of inflation in decimal form = 0.08

t = elapsed time in years = 2

---------

F = P*(1+r)^t

F = 280*(1+0.08)^2

F = 326.592

F = 326.59

8 0

3 years ago

Find the surface area of a cylinder

IceJOKER [234]

A = 2•3.14•3•8 + 2•3.14•3^2 = 207.34512

6 0

3 years ago

Read 2 more answers

How do yo work out 9.1 divided by 3575

EastWind [94]

9.1/3575
use long division like this
 _0._________
3575|91.000000

we find how many of 3575 fit into the 91
it's too big so we go farther
how many 3575 go into 910
too big so we go farther
how many 3575 go into 9100
the answer is 2 so put that in the correct place and mulitply that and put that in the correct place. then we subtract

 _0.02_________
3575|91.000000
 -71.50
 19.50
bring down the next number
find how many go into 19.500
the answe ris 5

 _0.025_________
3575|91.000000
 -71.50
 19.500
 -17.875
 1.625

bring down he next zero ( I fast forward and skip steps for convinience)

 __
 _0.025455_________
3575|91.000000
 -71.50
 19.500
 -17.875
 1.6250
 -1.4300
 .19500
 -.17875
 16250
 -14300
and so on untill infinity so the answe ris 0.0254555555555555 (enless fives)

8 0

3 years ago

What is the equation of y = x^3 with the given transformations? Vertical stretch by a factor of 3, horizontal shift 4 units to t

givi [52]

Answer:

y = 3(x - 4)^3 - 3

Step-by-step explanation:

A vertical stretch factor 3 is given by 3x^3. Horizontal shift 4 to the right is given by 3(x - 4)^3. Finally we add -3 to this function to move it 3 units down.

Answer is y = 3(x- 4)^3 - 3

4 0

3 years ago

Read 2 more answers

An established company started with 147 employees. After 10 years in business, they now have 283 employees. What is the percent

xeze [42]

So, Increase = New Number - Original Number. Therefore, Increase = 283 - 147 which equals 136.
136 = 283 - 147.
Then you want to divide the increase by the original number and multiply the answer by 100.
136/147 = 0.92
0.92 * 100 = 92.

Final Answer: The employee count has increased by 92%. I hope this helps.

4 0

3 years ago