Show that the set a = (1, 2, 1); b = (0, 1, 0); c = (-2, 0, 2) is linearly dependent.​

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

The conjugate of given complex number is ~

[tex]\qquad \tt \dashrightarrow \: \overline{z} = - 12i[/tex]

Conjugate of a complex number is the same number with its imaginary part having opposite sign.

Eg. if z = a + i b

Then it's Conjugate = a - i b

Answer:

0.15 cubic meters

Step-by-step explanation:

Formula volume = π x radius² x height

Answer

πr2h

Step-by-step explanation:

What do 12y and 8y represent?  You can look up the formula for the volume of a cylinder pir^2h and plug in your dimensions.

Answer:

Step-by-step explanation:

It looks like the solution is the first set of data

{1, 4, 6, 10, 12, 14, 19, 20, 25 }

because: median is 12, Q1 is 6, Q3 is 19, yet the range is from 1 to 25 while the range of the box and whisker plot is 1 to 24.

So theoretically none of those sets represents the box plot.

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

1) Construct a probability tree (check the attachment).

1.1) Change the given items/values into fractions. In this case, there are 3 entrees, each with a probability of [tex]\frac{1}{3}[/tex] because the probability of selecting a hamburger (an example that could be applied to other options too) is 1 out of the 3 options. Likewise is the case with sides and drinks; the probability of selecting fries (or vegetable) out of the two options is [tex]\frac{1}{2}[/tex], and the probability of selecting milk (or juice) out of the two options is [tex]\frac{1}{2}[/tex].

Answer:

12 m

Step-by-step explanation:

3 ⅔

= 3 + 2/3

= 9/3 + 2/3    { LCM = 3 }

= ( 9 + 2 ) / 3

= 11/3

In the diagram,

Length ( l )= x m

Breadth ( b ) = 3 ⅔ m = 11/3 m

Given that area of the rectangle = 44 m²

Formula : -

Area of the rectangle = lb

lb = 44

x * 11/3 = 44

x = ( 44 * 3 ) / 11

x = 4 * 3

x = 12 m

Therefore,

the missing length = 12 m

Answer:

C

Step-by-step explanation:

4+(8/2)

Bidmas

4+4 = 8

Answer is C

Ask me for any questinosss

And brainliest would be appreciated :)

Answer:

d=8

8/2

4

4+4=8

the answer is (c) 8

Answer:

$ 39,576.93

Step-by-step explanation:

[tex]\displaystyle\int~4t(5t^2-1)^6 dt \\\\[-0.35em] ~\dotfill\\\\ u=5t^2-1\implies \cfrac{du}{dt}=10t~\hspace{10em} \cfrac{du}{10t}=dt \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int~4t~u^6\cdot \cfrac{du}{10t}\implies \int~\cfrac{4t~u^6}{10t}\cdot du\implies \int~\cfrac{2~u^6}{5}du\implies \cfrac{2}{5}\int~u^6\cdot du \\\\\\ \cfrac{2}{5}\cdot \cfrac{u^7}{7}\implies \cfrac{2(5t^2-1)^7}{35}[/tex]

Answer:

102cm^2 - hope this helps

Step-by-step explanation:

find the area of the rectangle first in the middle

which equals 6 x 13 = 78cm^2

then find the traingles on the side

(6 x 4) / 2 = 12

there are 2 traingles so it would be 12 + 12 = 24

so all together the area would be 78 + 24 = 102cm ^2

Answer:

Step-by-step explanation:

well, we know they won 60% of the games, meaning 100% - 60% = 40%, they lost 40% of the games, and we also know that that number is 12.

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 40 & 12\\ 60& x \end{array} \implies \cfrac{40}{60}=\cfrac{12}{x}\implies \cfrac{2}{3}=\cfrac{12}{x} \\\\\\ 2x=36\implies x=\cfrac{36}{2}\implies x=18[/tex]

Answer:

300

Step-by-step explanation:

For every two boys, there are three girls, so divide 120 by 2 = 60

Multiply 60 by 3 = 180

Total number of students in school: 120 + 180 = 300

Answer:

B, because when you square 6 you get 36.

Answer:

59.55555555555556

Step-by-step explanation:

Recall that domain is in x axis

Thus from the graph we can see,

the domain is  x ≥ -1   and x ≤ 3

Thus final domain: -1 ≤ x ≤ 3

Answer:

[tex]\textsf{domain:}\quad-1\leq x\leq 3[/tex]

[tex]\textsf{range:}\quad\dfrac{16}{3}\leq y\leq 27[/tex]

Step-by-step explanation:

Information

Domain of a function: set of all possible input values (x-values)

Range of a function: set of all possible output values (y-values)

Closed circle:  less than or equal to and greater than or equal to (≤ or ≥).

Open circle: less than or greater than (< or >)

Domain

There is a closed dot at x = -1 and x = 3

Therefore, the domain is -1 ≤ x ≤ 3

Range

To calculate the exact range, we need to figure out the equation of the function (as it is difficult to read the exact value of y at x = -1).

From inspection of the graph, we can identify the following ordered pairs:

(1, 12)  (2, 18)  (3, 27)

General form of an exponential equation: [tex]y=ab^x[/tex]

Inputting the first two ordered pairs into the exponential equation:

[tex]\implies ab^1=12[/tex]

[tex]\implies ab^2=18[/tex]

Dividing the equations to find b:
[tex]\implies \dfrac{ab^2}{ab^1}=\dfrac{18}{12}[/tex]

[tex]\implies b=\dfrac32[/tex]

Inputting b into the first equation to find a:

[tex]\implies \dfrac32a=12[/tex]

[tex]\implies a=8[/tex]

Therefore, the equation of the function is: [tex]y=8\left(\dfrac32\right)^x[/tex]

Input  [tex]x = -1[/tex]  into the equation to find y:

[tex]\implies 8\left(\dfrac32\right)^{-1}=\dfrac{16}{3}[/tex]

Therefore, the range is [tex]\dfrac{16}{3}\leq y\leq 27[/tex]

Answer:

I think it's D.

Step-by-step explanation:

The grid is divided into 100 smaller squares, with 10 squares in each row. 25 squares out of 100 squares are shaded. 25% of the grid is shaded and 25% belongs to 20% so the grid that's 2/5 shaded it's D.

Answer:

  (x, y) = (2 35/74, 2 25/74)

Step-by-step explanation:

The closest point on the line to the given point will be the point of intersection of the given line and a perpendicular through the given point.

__

A line perpendicular to ax+by+c=0 that goes through point (h, k) can be written as ...

  b(x-h) -a(y-k) = 0

For the given line and point, the perpendicular line will be ...

  7(x -2) +5(y -3) = 0

  7x +5y -29 = 0

Using the cross-multiplication method, we can find the solutions to the system of equations consisting of these two lines. It will be ...

  Δ = (-5)(5) -(7)(7) = -74

  Δx = (7)(-29) -(5)(-4) = -183

  Δy = (-4)(7) -(-29)(-5) = -173

  x = Δx/Δ = -183/-74 = 2 35/74 ≈ 2.4730

  y = Δy/Δ = -173/-74 = 2 25/74 ≈ 2.3378

__

For more on the cross multiplication method, you can read ...

https://brainly.com/question/26397343

Answer:

Compound interest formula

[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]

where:

Given:

Substitute given values into the equation:

[tex]\implies y=8000(1+\frac{0.045}{1})^x[/tex]

[tex]\implies y=8000(1.045)^x[/tex]

So the graph will have a y-intercept of (0, 8000)

Answer:

B

Step-by-step explanation:

45 items is not a reasonable number, as the suitcase itself probably weighs about 20 pounds, and the likeliness of each item weighing about 1/2 a pound is unreasonable.

Answer:

The answer is 31.

Step-by-step explanation:

Since Beau's suitcase weighs 40 pounds he packed at least 35 items. Anything less than 35 items couldn't be possible.

See attachment. I got it right on my quiz:)

Answer:

710

Step-by-step explanation:

Numeration of pages goes from 1.

9 pages with 1-digit numbers, from 1 to 9.

90 pages with 2-digit numbers, from 10 to 99.

So,  2*90 + 9 = 189 digits are just used to numerate 9 + 90 = 99 pages.

The rest of numbers are 3-digit.

2022-189/3 = 611  pages with 3-digit numbers.

Total pages = 9 + 90 + 611 = 710.

The number the pages of a book,2022 digits are used there are 8880 pages in the book.

Let's assume there are "x" pages in the book. Each page number requires a certain number of digits to represent. The number of digits required to represent a page number depends on the value of the page number itself.

For example:

Page numbers from 1 to 9 require 1 digit each.

Page numbers from 10 to 99 require 2 digits each.

Page numbers from 100 to 999 require 3 digits each.

And so on.

Since we're given that 2022 digits are used in total, we can set up an equation based on the above observations:

Number of 1-digit page numbers + Number of 2-digit page numbers + Number of 3-digit page numbers + ... = 2022

Now let's solve this equation to find the number of pages:

Number of 1-digit page numbers = 9 (from 1 to 9)

Number of 2-digit page numbers = 90 - 10 + 1 = 81 (from 10 to 99)

Number of 3-digit page numbers = 900 - 100 + 1 = 801 (from 100 to 999)

Substituting these values into the equation:

9 + 81 + 801 + ... = 2022

Now we need to find the number of terms in this sequence. Each term corresponds to a certain number of digits, and we want to find the smallest number of digits that will exceed 2022. We can try different numbers of digits until we find the correct one:

Number of 4-digit page numbers = 9000 - 1000 + 1 = 8001

Adding the terms up:

9 + 81 + 801 + 8001 = 8880

To know more about digits here

https://brainly.com/question/30142622

#SPJ3

[Hello, blueface1728]

Answer:

[D] −6 < x < 9

Step-by-step explanation:

So, if a < u <b then a < u and u <b

-7 < x - 1 and x -1 < 8

Solving

-7 < x - 1  = x > -6

x - 1 < 8 = x < 9

Combine the intervals

-6 < x < 9

Now looking at the answer choice :

6 < x < 9

−6 > x > 9

6 > x > −9

−6 < x < 9

Thus, the answer is [D] −6 < x < 9

Kavinsky

Answer:

11.3 ft

Step-by-step explanation:

[tex]V_{gravel}=3,200\: ft^3\\\\height \:(h) =24\: ft\\\\ To \: find:\: radius\:(r)[/tex]

Since, gravel is in the shape of right circular cone.

[tex]\implies V_{gravel}= \frac{1}{3}\pi r^2 h\\\\\implies 3,200= \frac{1}{3}(3.14) r^2 (24)\\\\\implies r^2=\frac{3,200\times 3}{3.14\times 24}\\\\\implies r^2=\frac{9,600}{75.36}\\\\\implies r^2=127.388535\\\\\implies r=\pm\sqrt{127.388535}\\\\\implies r=\pm 11.286653\\radius\: can't\: be\: negative\\\\\implies r=11.286653\\\\\implies r \approx 11.3 \: ft[/tex]

Answer:

The answer is 70

Step-by-step explanation

Add 15 by 15 for each side then add 20 by 20 for each other side

Answer:

I try my best to give you answer

Answer:

I believe the answer is #3 c=kv because you need to find c and it varies based on k and v.

Step-by-step explanation:

Answer:

B   or  C

Step-by-step explanation:

B area =  2 ( 6 x5 + 5 x 4  + 4 x 6) = 148 square feet

C area = 2 ( 8x3 + 3x7 + 7x8) = 202 sq ft

Answer:

3 and 7,

7 and 11,

13 and 17

Step-by-step explanation:

Prime numbers have exactly two factors, the number itself and 1. This just means that nothing "goes into" these numbers. Example: 7. 7 is a prime number; the only number that goes into 7 is 7 (and 1)

First, find all the prime numbers that are less than 20:

2, 3, 5, 7, 11, 13, 17, 19

Next find the pairs that are 4 units apart. 3 and 7 works.

7 - 3 is 4

Also, 13 and 17 works, and 7 and 11.

Answer:

Rosie has walked 163.8 kilometers by the 10th day,

Step-by-step explanation:

We know that the first day is 18 kilometers.

90% = 0.9

0.9 x 18 = 16.2

There are 9 more days

16.2 x 9 = 145.8

Now we add the first day

145.8 + 18= 163.8