All categories

4 years ago

The dot product of u with itself is 12. What is the magnitude of u?

1 answer:

5 0

Dot product is
a*b = |a|*|b|*cosα.
In our case
u*u =|u|*|u|*cos 0
u*u =|u|*|u|
12=|u|²
|u|=√12=√(4*3)=2√3
Answer: <span>D. 2√3</span>

You might be interested in

write an algebraic expression for the interest earned on a $15000 deposit for a t months at 1.75% interest, compunded continuous

Tom [10]

Y=15000 e^(0.0175×t/12)

Y future value

15000 present value

E constant

1.75/100=0.0175 Interest rate

T time

12 number of months in a year

Hope it helps!

5 0

3 years ago

A spinner is spun once ( The spinner has 8 sections in it) What is the probability that the spinner will land on 5 or 7? A.8% B.

nordsb [41]

D. 25% as there are 8 sections and two wanted outcomes this can be simplified into a 1/4 so 1/4=25%

3 0

3 years ago

The seats in each section are in 32 rows.There is an equal number of seats in each row.How many seats are in each row?

ladessa [460]

How many seats are in each section?

7 0

3 years ago

The friendly sausage factory (fsf) can produce hot dogs at a rate of 5,000 per day. fsf supplies hot dogs to local restaurants a

juin [17]

Answer:

a. 21 327 hot dogs/run

b. 70 runs/yr

c. 4 da/run

Step-by-step explanation:

Data:

Production rate (p) = 5000/da

Usage rate (u) = 260/da

Setup cost (S) = $66

Annual carrying cost (H) = $0.45/hot dog

Production days (d) = 294 da

Calculations:

a. Optimal run size

(i) Annual demand (D) = pd = (5000 hot dogs/1 day) × (294 days/1 yr)

= 1 470 000 hot dogs/yr

(ii) Economic run size

$Q_{0}= \sqrt{\frac{2DS }{ h}\times\frac{ p}{p-u }}$

$= \sqrt{\frac{2\times1470000\times66 }{ 0.45}\times\frac{ 5000}{5000-260 }}$

$= \sqrt{431200000\times\frac{ 5000}{4740 }}$

$= \sqrt{454852321}$

= 21 327 hot dogs/run

b. Number of runs per year

Runs = D/Q₀ = (1 470 000 hot dogs/1yr) × (1 run/21 327 hotdogs)

= 70 runs/yr

c. Length of a run

Length = Q₀/p = (21 327 hot dogs/1 run) × (1 da/5000 hot dogs)

= 4 da/run

8 0

3 years ago

A sales person earns $80 for every computer he sells. He earns an additional $250 for every 10 computers he sells that month. Ho

Georgia [21]

Answer

23 computer

Step-by-step explanation:

if he sold 20 computers he would make 2100 which then he would need 240 more dollars to reach his goal and to find the answer you would then divide 240 by 80.

4 0

3 years ago