what is 3x10)+(3456/3629) + (2341x123) + (123 infinity x 90) i will give branliest

(i) If we can write c as a linear combination of a and b, then there exist scalars k₁ and k₂ such that

[tex]c = k_1a + k_2b[/tex]

Solve for k₁ and k₂ :

[tex]3u + 4v = k_1 (3u - v) + k_2 (-u + 2v)[/tex]

[tex]3u + 4v = (3k_1 - k_2) u + (-k_1 + 2k_2) v[/tex]

Then we must have

[tex]\begin{cases}3k_1 - k_2 = 3 \\ -k_1 + 2k_2 = 4\end{cases} \implies k_1 = 2, k_2 = 3[/tex]

and so

[tex]\boxed{c = 2a + 3b}[/tex]

(ii) Given that u and v form an angle of 60° between them, we have by the dot product identity

[tex]u \cdot v = \|u\| \|v\| \cos(60^\circ)[/tex]

where ||u|| denotes the magnitude of the vector u. Both u and v are unit vectors, so ||u|| = ||v|| = 1, and

[tex]u \cdot v = \dfrac12[/tex]

A special case of the identity with u = v tells us that for any vector u,

[tex]u \cdot u = \|u\|^2 \cos(0^\circ) = \|u\|^2[/tex]

which means

[tex]u \cdot u = v \cdot v = 1[/tex]

This in turn means we have

[tex]a \cdot a = (3u - v) \cdot (3u - v) = 9 (u \cdot u) + (v \cdot v) - 6 (u \cdot v) = 7[/tex]

[tex]a \cdot b = (3u - v) \cdot (-u + 2v) = -3 (u\cdot u) - 2 (v \cdot v) + 7 (u \cdot v) = -\dfrac32[/tex]

[tex]a \cdot c = (3u - v) \cdot (3u + 4v) = 9 (u\cdot u) - 4 (v\cdot v) + 9 (u \cdot v) = \dfrac{19}2[/tex]

[tex]b\cdot b = (-u + 2v) \cdot (-u + 2v) = (u \cdot u) + 4 (v\cdot v) - 4 (u \cdot v) = 3[/tex]

[tex]b\cdot c = (-u + 2v) \cdot (3u + 4v) = -3 (u\cdot u) + 8 (v\cdot v) + 2 (u\cdot v) = 6[/tex]

[tex]c \cdot c = (3u + 4v) \cdot (3u + 4v) = 9 (u\cdot u) + 16 (v\cdot v) + 24 (u\cdot v) = 37[/tex]

and hence

[tex]d \cdot d = (3a + 2b + c) \cdot (3a + 2b + c)[/tex]

[tex]d \cdot d = 9 (a\cdot a) + 4 (b\cdot b) + (c \cdot c) + 12 (a\cdot b) + 6 (a\cdot c) + 4 (b\cdot c)[/tex]

[tex]d\cdot d = 175[/tex]

and so ||d|| = √175 = 5√7.

Answer:

Caroline

Step-by-step explanation:

Angela = 100 × 0.78 = 78

Vincent = 100 × 3/4 = 75

Mitchell = 100 × 0.8 = 80

Caroline = 100 × 18/25 = 72

Who has the LEAST

Answer:

Caroline has the least number of beads. Caroline has 72 beads

Answer:

a)(0, 3)

b)(-3/2, 0)

Step-by-step explanation:

a) y-axis : x=0

so instead of x you write 0 : y = 2 * 0 + 3

and you get y = 3

b) x-axis : y=0

so instead of y you write 0 : 0 = 2 * x + 3

2 * x = -3

x = -3/2

Answer:

13 and 27

Step-by-step explanation:

y= x+14

x+y=40

x+ x+14=40

2x+14=40

40-14=26

so, 2x=26

26/2

=13

so, x=13 and

and y equal 40-13

y=27

Step-by-step explanation:

I am biased against people, who put an English question into Mathematics.

it is a fundamental, basic, personality defining mindset or believe that drives preferences.

Answer:

6

Step-by-step explanation:

I hoped it helped!!!

You can just divide both 24 by 4 and 4 by 4 to make it 1.

Answer:

Step-by-step explanation:

(a +b)² = a² + b² + 2ab

a = 3a and b = 2.5b

2ab = 2*3a*2.5b = 15ab

15ab is the monomial that needs to be inserted

Answer:

A and C:

[tex]4 - 2k \: = - 2k + 4[/tex]

Answer:

24[tex]\pi \\[/tex]

Step-by-step explanation:

circumference=2rpi

which makes it dpi

12*2=24

so the  circumference is 24pi

Answer:

C = 24π inches

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius ) , then

C = 2π × 12 = 24π inches

Answer:

5.48

Step-by-step explanation:

Using the formula

A=a2

Solving for a

a=A=30≈5.47723

Answer:

89%

Step-by-step explanation:

Answer: hose Is raled to fill Ihe pool in 10 hours erhe To fill a pool, Barb uses two hosesThe first third hose that uses {ha slower to fill it in 5 hours. If Barb adds second hose is rated "long will it take to fill the pool?

Give Brainliest! Thanks.

It will take 10/3 hours to fill the pool when both the hoses will work together.

The first hose is rated to fill the pool in 10 hours.

This means, In one hour hose will fill 1/10th part of the pool.

The second hose is rated to fill the pool in 5 hours

This means, In one hour hose will fill 1/5th part of the pool.

The total part of the pool to be filled will be 1.

Let us suppose both the hoses working together takes t hours to fill the pool

So, the first hose will fill the t/10th part of the pool.

The second hose will fill the t/5th part of the pool.

So, [tex]\frac{t}{10} +\frac{t}{5} =1[/tex]

15t =50

t=10/3

Therefore, It will take 10/3 hours to fill the pool when both the hoses will work together.

To get more about such problems visit:

https://brainly.com/question/1800429

Answer:

c. 18 feet

Step-by-step explanation:

The area is 180ft². The height is 10ft.

Now, we need to divide 180ft² by 10ft.

180/10 = 18

ft²/ft = ft

The length of the wall is 18ft.

Answer:

The measure of the wall given is square ft., meaning you can divide it by either length or height to get the corresponding side.

We are given a height of 10 ft.

So 180 / 10 = 18ft

L = 18ft

Have a lovely day!

Answer:

Step-by-step explanation:

Regular pentagon has 5 equal sides

Perimeter = 5* (23√149)

                 = 115√149

Answer:

What is 5% of 45.22?

That would be about 2.3

Now times that by 4 then there is your answer :)

Answer:

$10750

275n+350d

hope this helps!!

Answer:

notebook computer= $5500

desktop computer= $5250

notebook and desktop computer= $10750

Step-by-step explanation:

First of all, we multiply $275 by 20 which would give you 5500. Next, we multiply 350 by 15 which gives you 5250. now to add the total number of notebook and desktop computers, we add them both, which results to 10750.

XY - X + 2Y -2 =X(Y-1) + 2(Y-1) = 2X(Y-1)

Answer:

12 is 48% of 25

Step-by-step explanation:

One way we can find a percentage of two numbers is to divide, and then multiply our quotient by 100. In this case, the question is: What percent of 25 is 12? We will divide 12 by 25, which gives us 0.48. 0.48 x 100 is 48, which gives us our answer: 12 is 48% of 25.

Answer:

27 degrees      

Step-by-step explanation:

12: 180 = 3x - 17 + x + 40 + 2x - 5

180 = 6x + 18

180 - 18 = 6x

162 = 6x

x = 27 degrees

Answer:

Remember the Triangle Angle Sum theory which states that all angles of a triangle add up to 180˚. With this, make the following equation:

(3x-17) + (x + 40) + (2x - 5) = 180

Get rid of parenthesis

3x - 17 + x + 40 + 2x - 5 = 180

Group like terms:

3x + 2x + x + 40 - 17 - 5 = 180

Simplify

6x + 18 = 180

Subtract 18 from both sides.

6x + 18 - 18= 180 -18

6x= 162

Divide both sides by 6

6x/6= 162/6

x= 27

Answer:

Step-by-step explanation:

LCM of 4 and 8 = 8

[tex]\dfrac{1}{4}=\dfrac{1*2}{4*2}=\dfrac{2}{8}[/tex]

[tex]\dfrac{1}{4}-\dfrac{1}{8}=\dfrac{2}{8}-\dfrac{1}{8}\\[/tex]

         [tex]=\dfrac{1}{8}[/tex]

Answer:

x=148

Step-by-step explanation:

x it is verticle from and across from 148 which is congruent to x and x=148

Solution:

Note that:

Using the perimeter of the smaller triangle, solve for x.

The length of x is 2 units.

Answer:

10 dogs

Step-by-step explanation:

we make 5 times 5 to get 25

then we make also 2 times 5 to know the number of girl dogs

then the answer will be 10

Step-by-step explanation:

80% = 7

divide by 80

1% = 0.0875

times by 100

100% = 8.75

8.75 - 7 = 1.75/1 hr 45 minutes more minutes till 100%

Answer:

40

Step-by-step explanation:

Answer:

Complement is 38
Supplement is 128

Step-by-step explanation:

Ok, so you know a complementary angle is 90 degrees and a supplementary angle is 180. To find the complement of the angle is another way of saying “make it add up to 90” You would show your work by writing “x + 52 = 90” to find the complement and “x + 52 = 180” I am assuming you know how to solve from here and that’s how I got the answer. Let me know if you don’t understand

Answer:

22 m

Step-by-step explanation:

A = bh

308 m² = 14 m × h

h = (308 m²)/(14 m)

h = 22 m

Answer: 22 m

Step-by-step explanation:

the circumference of a circle is

C = 2 × pi × r

r = radius = diameter / 2

diameter = 2r

in our case

30×pi = 2×pi×r

30 = 2r = diameter

so, the first answer option is correct.

3.2 and 3.6 become 4 , but -3.2 and -3.6 become -4 . down - rounds towards zero.

so 4 thanks for the points and you are welcome for the answer.

Answer:

60°

Step-by-step explanation:

angle b = 180 - 120

= 60°

angle d = 180 - 60 - 60

= 60°