Cho hệ các vector
U ={(1,2,0);(0,-1,0);( (2,3,1);(1,0,2)} .
a. Tìm số chiều và một cơ sở W của không gian con sinh bởi hệ vector U .
b. Tìm tham số k để u=(2,3,k^2+1) là một tổ hợp tuyến tính của W, và suy ra [ u]W.

Answer:

108.2

Hope this is right!

Answer:

1 /3

Step-by-step explanation:

We know that a^-b = 1/a^b

9^-1/2 = 1/9^1/2

The sqrt (9) =3

1 /3

Answer:

Step-by-step explanation:

sin(x) = opposite over hypotenuse

= 3/(3sqrt(2))

= 1/sqrt(2)

= sqrt(2)/2

x = arcsin( sqrt(2)/2 )

= arcsin( sqrt(2)/2 )

= 45°

Answer:

Step-by-step explanation:

This is a right triangle trig problem. The base of the right triangle is the distance that Donna if from the flagpole; the flagpole is the side opposite the reference angle which was given as 26, and we are looking for the height of the flagpole, h. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio, specifically:

[tex]tan26=\frac{h}{123}[/tex] and

123tan(26) = h so

h = 60.0 rounded to the nearest tenth. But that is only the height from her line of vision and up, not the whole height. In order to find the whole height, we have to add in her height up to her line of vision which is 5.3 feet. Therefore, the height of the flagpole is

60.0 + 5.3 = 65.3 feet.

Answer:

[tex] \sin( \alpha ) = \frac{4}{5} [/tex]

Step-by-step explanation:

as if we form an imaginary triangle with this line as hypotenuse

we get

using Pythagoras theorem:-

hyponteuse ² = perpendicular ² + base²

hyp² = 4² + 3²

hyp² = 16 + 9

[tex]hyp = \sqrt{25} [/tex]

hyp = 5 units

[tex] \sin( \theta ) = \frac{perpendicular}{hypotenuse} \\ \sin( \theta) = \frac{4}{5} [/tex]

Answer:

159.25 meters

Step-by-step explanation:

Using the solution diagram attached ;

From Trigonometric relation, the width, w of the canal can be obtained using :

Tanθ = opposite / Adjacent

Tan 37 = 120 / w

w * tan 37 = 120

w = 120 / tan 37

w = 159.24537 meters

Hence, width of canal is 159.25 meters

Cevap:

Salı

Adım adım açıklama:

İlk depozito (Pazartesi) = 8 lira

Günlük yatırılan miktar = 3 lira

74 liraya sahip olmak için gereken gün sayısı;

Gün sayısı = x olsun

8 + 3x = 74

3x = 74 - 8

3x = 66

x = 66 / 3

x = 22 gün

Pazartesiden 22 gün sonra; Salı gününe denk gelecek

The domain of [tex]tanx[/tex] is [tex]R - (n\pi -\frac{\pi }{2})[/tex].

The range of the given function [tex]y = tanx[/tex] is the set of all real numbers.

The domain of a function is the set of values that we are allowed to plug into our function.

The range of a function is the set of its possible output values.

According to the given question.

We have a function

[tex]y = tanx[/tex]

The above function can be written as

[tex]y = \frac{sinx}{cosx}[/tex]

⇒ [tex]tanx[/tex] is defined for all values except the values that makes [tex]cosx = 0[/tex], a fraction with denominator is not defined.

And we know that

[tex]cosx = 0 \ \forall \ x \in \frac{(2n+1)\pi }{2} \ where \ n \in Z[/tex]

Hence, for all these values, [tex]tanx[/tex] is not defined.

Therefore, the domain of [tex]tanx[/tex] is [tex]R - (n\pi -\frac{\pi }{2})[/tex].

Since, the domain of  [tex]tanx[/tex] is [tex]R - (n\pi -\frac{\pi }{2})[/tex], so when we input these values in the given function we get only real numbers.

Therefore, the range of the given function [tex]y = tanx[/tex] is the set of all real numbers.

Thus, option D and B are correct.

Find out more information about domain and range here:

https://brainly.com/question/1632425

#SPJ2

Answer:

the answer is "B" the second one...

(1/2)(2)^x

at

0 = (1/2)(1) = 1/2

2= (1/2)(4) = 2

Step-by-step explanation:

Answer:

57.91°

Step-by-step explanation:

see pic

Using Law of Cosines

lower case letters are sides. Uppercase letter is angle.

Answer:

the answer is 91,5007.50 dollars

Step-by-step explanation:

find the first year you would do 83,000 times 105% and that would equal 87,150 next you would do 87,150 times 105% and I would equal to 91,507.50

Answer:

83830

Step-by-step explanation:

because 5percent of 83000 is 412 and 412 plus 412 is 830 and plus 83830

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

Work Shown:

(91 packages)/(2 hours) = (x packages)/(8 hours)

91/2 = x/8

91*8 = 2*x .... cross multiply

728 = 2x

2x = 728

x = 728/2 .... divide both sides by 2

x = 364

-----------------

Another approach:

If he delivers 91 packages in 2 hours, then his unit rate is 91/2 = 45.5 packages per hour. Multiply this by the 8 hours

8*45.5 = 364

Answer: 25

Step-by-step explanation: I just entered the equation into my calculator like so.

A negative number times a negative number equals a positive number.

I hope this helps, have a nice day.

Happy Pride Month!

Answer:

Option B

Step-by-step explanation:

Use Desmos graphing calculator for these probloms and type your qustion on the left box

Answer:

y=(x-1)(x-4) & 100°

Step-by-step explanation:

Graph

1) there are x-intercepts at 1 and 4so you set those equal to x

ex. x=1 x=4

2) then subtract them over to equal 0 and set it equal to y

ex. y=(x-1)(x-4)

Angle

*IMPORTANT* Straight lines are equal to 180°

∠CBD = 80°

1) So you just subtract ∠CBD from 180°

ex. 180° - 80° = 100°

Answer:

A. y = 2/5x - 2

Step-by-step explanation:

We can use the slope formula to find the slope of the line.

[tex]m=\frac{y_1-y_2}{x_1-x_2} \\m=\frac{-2-0}{0-5} \\m=\frac{-2}{-5}\\m=\frac{2}{5}[/tex]

Now we know that the slope of the line is 2/5. By looking at the graph, the line crosses the y-axis at the point (0, -2). Therefore, the equation of the line is y = 2/5x - 2.

Answer:

11.17 tonnes was in the fourth and final load.

Step-by-step explanation:

11.25 + 12.76 + 12.82 = 36.83 > total of the first 3 loads.

x = 4th load.

36.83 + x = 48

x = 48 - 36.83

x = 11.17

We will form the equations for this problem:

(1) 1100*y + z = 113

(2) 1500*y + z = 153

z = ? Monthly administration fee is notated with z, and that is the this problem's question.

Number of kilowatt hours of electricity used are numbers 1100 and 1500 respectively.

Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.

The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:

(1) 1100*y + z = 113

(2) 1500*y + z = 153

----------------------------

(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:

(2) 1500*y + (113 - 1100*y) = 153

-------------------------------------------------

(1) z = 113 - 1100*y

(2) 1500*y + 113 - 1100*y = 153

------------------------------------------------

(1) z = 113 - 1100*y

(2) 400*y + 113 = 153

------------------------------------------------

(1) z = 113 - 1100*y

(2) 400*y = 153 - 113

------------------------------------------------

(1) z = 113 - 1100*y

(2) 400*y = 40

------------------------------------------------

(1) z = 113 - 1100*y

(2) y = 40/400

------------------------------------------------

(1) z = 113 - 1100*y

(2) y = 1/10

------------------------------------------------

if we insert the obtained value of y into (1) equation, we get the value of z:

(1) z = 113 - 1100*(1/10)

(1) z = 113 - 110

(1) z = 3 dollars is the monthly fee.

credit: freesparrow

Answer:

3

Step-by-step explanation:

bc it is

Step-by-step explanation:

hope this will help you alot

if this really help you please votee or mark me as brinalist.

Thankyou

Answer:

24 edges, 24 vertices, 8 faces - For that weird Cylender thing.

Step-by-step explanation:

There are six faces on sides (and two on both tops, these don´t have vertices or edges of their own), 4 edges on each one, 4 vertices on each one.

Answer:

There are 6 faces

One up one down one front one backs one right one left

12 edges and 8 ventricles

Answer:

10/11×99=90

Step-by-step explanation:

10/11×99=90

20/20×99=99

12/7×99=169 5/7

16/15×99=105 3/5

Answer:

90, 99, 5/7, 3/5

Step-by-step explanation:

hope it helps!

Answer:

c(12 + 9 + 6)

12(2.25c)

Step-by-step explanation:

12c + 12 (3/4c) + 12 (1/2c)

12(1c) + 12(3/4c) + 12 (1/2c)

12(c + 3/4c + 1/2c)

12(2 1/4c)

12(2.25c)

Or

12c + 12 (3/4c) + 12 (1/2c)

12c + 9c + 6c

c(12 + 9 + 6)

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

24 ft²

Step-by-step explanation:

The surface area of each box to be covered ;

Since box is cube shaped, we find the surface area of a cube to get our solution :

Surface area of a cube = 6a²

Where, a = cube edge

a = 2

Hence,

Surface area = 6a² = 6(2)² = 6 * 4 = 24ft²

Answer:

1/3 x 1/3 x 1/3(volume of small cube) = 1/27

2/3 x 7/3 x 4/3(volume of figure shown) = 2 2/27

Now we divide to see how many cubes can fit.:

2 2/27(make improper fraction) divided by 1/27 = 56 small little cubes can fit.

Answer:

V = 6 ft^3

Step-by-step explanation:

V = length * width * height

V = 1* 2* 3

V = 6 ft^3

Answer:

6 ft³

Step-by-step explanation:

V = lwh

V = 1 × 2 × 3

V = 6 ft³

Answer:

Step-by-step explanation:

take 69 degree as reference angle

using sin rule

sin 69=opposite/hypotenuse

0.93=7.2/x

x=7.2/0.93

x=7.74

x=7.7

Answer:

x - 15 120 9 18 12 33

y - 5 40 3 6 4 11

Step-by-step explanation:

x - 15 120 a a 12 33

y - 5 40 3 6 b d

x = 3y

When y = 5

x = 3y

x = 3 * 5

x = 15

When y = 40

x = 3y

x = 3 * 40

x = 120

When y = 3

x = 3y

x = 3 * 3

x = 9

When y = 6

x = 3y

x = 3 * 6

x = 18

When x = 12

x = 3y

12 = 3y

y = 12/3

y = 4

When x = 33

x = 3y

33 = 3y

y = 33/3

y = 11

Answer:

160 yards

Step-by-step explanation:

Answer:

[tex] \sqrt{ {a}^{2} + {b}^{2} } \: \: units[/tex]

Step-by-step explanation:

Using distance formula

[tex] \sqrt{ {(0 - b}^{2} + {(b - 0)}^{2} } \\ = \sqrt{ {a}^{2} + {b}^{2} } [/tex]