All categories

3 years ago

Let u = <-5, 2>, v = <-2, 6>. Find 4u + 3v.

Mathematics

1 answer:

Arisa [49]3 years ago

8 0

Answer:<-26, 26>

Step-by-step explanation: <4(-5), 4(2)> and

<3(-2), 3(6)>

<-20, 8> and <-6, 18>

Now add <(-20+(-6)), (8+18)>

<-26, 26>

You might be interested in

The most important job of promotional material is to give you accurate information about a product. TRUE or FALSE

Alex73 [517]

False.

The most important job is to promote the material. For example, Ads don't always promise what they tell you, but they make the product seem very desirable.

3 0

3 years ago

A jar contains 3 red, 2 white, and 1 green marble. Aside from color, the marbles are indistinguishable. Two marbles are drawn at

IRISSAK [1]

Answer:

0.6

Step-by-step explanation:

A permutation is an arrangement of outcomes whereas a combination is a grouping of outcomes.

Order matters in case of permutations but does not matter in combinations.

Given:

Number of red marbles = 3

Number of white marbles = 2

Number of green marbles = 1

To find: probability of picking 4 marbles and getting one of each color

Solution:

Total number of outcomes = $6_C__4$ = $\frac{6!}{4!\,2!}=\frac{6\times 5\times 4!}{4!\times 2}=15$

Number of favourable outcomes = 2 red, 1 white and 1 green marble + 1 red, 2 white and 1 green marble = $3_C_2\,2_C_1\,1_C_1+3_C_1\,2_C_2\,1_C_1$ = $\frac{3!}{2!\,1!}\times \frac{2!}{1!\,1!}\times 1+\frac{3!}{2!\,1!}\times 1\times 1=6+3=9$

So, probability of picking 4 marbles and getting one of each color = Number of favourable outcomes/Total number of outcomes = $\frac{9}{15}=\frac{3}{5}=0.6$

4 0

3 years ago

A traveler traveled for 6 hours and covered a distance of 520 km. He traveled the first 260 km by car, and the rest of the way b

Shkiper50 [21]

Answer:

57.78 km/hr

Step-by-step explanation:

Total time taken, t = 6 hours

Total distance covered, d = 520 km

Distance by car = 260

Distance by train = 520 - 260 = 260 km

Train speed = x

Car speed = 2x

Average speed speed = 3x /2

Speed = distance / time

1.5x = 520 / 6

9x = 520

x = 520 / 9

x = 57.777

Average speed of train = 57.78 km/hr

7 0

2 years ago

What is the amplitude of the sinusoidal function?

saul85 [17]

Answer:

amplitude = 4

Step-by-step explanation:

the amplitude is the maximum subtract the minimum divided by 2

maximum = 1 and minimum = - 7

amplitude = $\frac{1-(-7)}{2}$ = $\frac{8}{2}$ = 4

8 0

2 years ago

Read 2 more answers

Find the equivalent expression using the same basis (34•84)^3

vichka [17]

Answer:

(2)^9•(3)^3•(7)^3•(17)^3

Step-by-step explanation:

(34•84)^3

=(34)^3•(84)^3

=(2•17)^3•(2•2•3•7)^3

=(2)^3•(17)^3•(2)^3•(2)^3•(3)^3•(7)^3

=(2)^(3+3+3)•(17)^3•(3)^3•(7)^3

=(2)^9•(3)^3•(7)^3•(17)^3

7 0

3 years ago

Read 2 more answers