Six consecutive numbers add up to a total of 69. What is the highest of these numbers.

Answer:

2nd, y=x-2

ignore this, just for 20char limit

Answer:

[tex]y=1/2x+2[/tex]

Step-by-step explanation:

Know that: [tex]y=mx+b[/tex]

Starting for (0,0) count how many times you go up to the marked line (which is 2)

[tex]y=1/2x+2[/tex]

The [+] 2 is where you would start off at on the graph, with 1/2 being the slope go up one and over two.

Answer:

D I believe

Step-by-step explanation:

Hope this helps you

sorry if I'm wrong

Step-by-step explanation:

2.7meters = 270 cm (2.7 times 100)

70^2 + 270^2 = 77800

square root of 77800 is approx. 278.9cm or if you need a whole number do 279cm

Answer:

1. x = -2

Step-by-step explanation:

2x + 5 = 1

2x + 5 - 5 = 1 - 5

2x = -4

2x/2 = -4/2

x = -2

[tex](s^2+5st-9t^2)-(2s^2-2st+2t^2)=\\\\=s^2+5st-9t^2-2s^2+2st-2t^2=\\\\=s^2-2s^2-9t^2-2t^2+5st+2st=\boxed{-s^2-11t^2+7st}[/tex]

Answer:

-s^2+7st-11t^2

Step-by-step explanation:

s^2 +5st - 9t^2 - ( 2s^2 -2st +2t^2)

Distribute the minus sign

s^2 +5st - 9t^2 -  2s^2 +2st -2t^2

Combine like terms

-s^2+7st-11t^2

Answer:

hope this helps and have a great dayyyyyy

Answer:

66

Step-by-step explanation:

If there are  n  students, then the number of pairs is [tex]\frac{n(n-1)}{2}[/tex].

With 12 students, [tex]\frac{12(12-1)}{2} = \frac{132}{2}=66[/tex] pairs can be formed.

The reason the formula works is this:  Each of the 12 students can be paired with 11 other students (no student is paired with him/her self).  But counting 12 x 11 = 132  counts each pair twice.  Example: student A can be paired with student B,..., student B can be paired with student A.  The pair was counted two times.

See the attached image that shows pairings of 5 students.  There are

5(5 - 1)/2 = 5(4)/2 = 10 pairs.

Step-by-step explanation:

The area A of a triangle is given by

[tex]A = \frac{1}{2}bh[/tex]

where b is the length of the base and h is its height. Solving for h, we get

[tex]h = \dfrac{2A}{b} = \dfrac{2(72\:\text{m}^2)}{28\:\text{m}}[/tex]

[tex]\:\:\:\:= 5.14\:\text{m}[/tex]

Answer:

21(5,6)

(105,126)

Option A is correct

When we multiply a vector by an scalar, it's the same as multiply all the coordinates by the same scalar, so let's suppose I have a vector "u" and multiply by the scalar "λ"

                                              [tex]\Large\displaystyle\text{$\begin{gathered}u = \left(x, y\right)\\ \\\lambda u = \left(\lambda x, \lambda y\right)\end{gathered}$}[/tex]

Just multiply everything by "λ"!

So we have

                                                    [tex]\Large\displaystyle\text{$\begin{gathered}\frac{35}{2}\left(\frac{6}{5}v\right)\end{gathered}$}[/tex]

We can simplify the fraction

                                                      [tex]\Large\displaystyle\text{$\begin{gathered}\frac{35}{2}\cdot \frac{6}{5}v\\ \\7\cdot 3 v\\ \\21 v\end{gathered}$}[/tex]

So we want to multiply v by the scalar 21, it means that we'll multiply all coordinates by 21, we know that v = (5, 6).

                                        [tex]\Large\displaystyle\text{$\begin{gathered}21v = 21\left(5,6\right)\\ \\21v = \left(21\cdot 5,21\cdot 6\right)\\ \\21v = \left(21\cdot 5,21\cdot 6\right)\\ \\21v = \left(105,126)\\ \\\end{gathered}$}[/tex]

So

                                            [tex]\Large\displaystyle\text{$\begin{gathered}21v = \left(105,126)\\ \\\end{gathered}$}[/tex]

Hope you liked it

Question? Ask me in the comments

Answer:

Hi, There!

179.9

Rounded to the nearest 0.1 or

the Tenths Place.

Step-by-step explanation:

Answer:

Answer: x² + 16x + 64

Step-by-step explanation:

[tex] {(x + 8)}^{2} [/tex]

double the brackets, to remove the power:

[tex] = (x + 8)(x + 8)[/tex]

open the brackets:

Generally:

[tex]{ \boxed{(a + b)(a + b) = {a}^{2} + 2ab + {b}^{2} }}[/tex]

from our equation given;

a » x

b » 8

substitute in the equation in the box:

[tex](x + 8)(x + 8) = {x}^{2} + \{ 2(x)(8) \} + {(8 )}^{2} \\ \\ = {x}^{2} + 16x + 64[/tex]

Answer:

x² + 16x + 64

Step-by-step explanation:

that is the answer I think

Answer:

2x^2 +16x=0

=>2 x(x+8)=0

=>2x=0 or x+8=0

=>x= 0 or x=-8

Step-by-step explanation:

Answer:

Step-by-step explanation:

75g = 7.5dkg

more than

less than

Answer:

75g= 7.5dkg

445cm is greater than 0.0445dkm

10mm is smaller than 301cm

Step-by-step explanation:

Add the two amounts together:

0.56 + 0.27 = 0.83 pounds total

Luis buys 0.56 pound of power pasta. Mariana buys 0.27 pound of power pasta. How much do they buy in all?

First, understand the problem.

Luis buys 0.56 pounds of power pasta.

Mariana buys 0.27 pound of power pasta.

Then, add the bus of Luis and Mariana.

Answer: [tex]x=-3[/tex]

Step-by-step explanation:

-7+5 times -1+9

−7+5×−1+9

-7-5+9

−7−5+9

-12+9

−12+9

−3

Answer:

I agree with ELLIEDONEN I also think -10.

;))

Answer:

33

Step-by-step explanation:

10+9+0+1+13=33

it may help

Convert the arabic signs to no

[tex]\\ \sf\longmapsto 10+9+17+1+0+13[/tex]

[tex]\\ \sf\longmapsto 19+18+13[/tex]

[tex]\\ \sf\longmapsto 37+13[/tex]

[tex]\\ \sf\longmapsto 50[/tex]

Answer:

x = 3/16

Step-by-step explanation:

First off, you are smart :)

1 = 4x+ 1/4,

3/4 = 4x,

3/16 = x

Answer:

D you can choose bin width

Step-by-step explanation:

just completed assignment

Answer:

D) You can choose bin width.

Step-by-step explanation:

edge 2023

Answer:

29,86

Step-by-step explanation:

attached.......

Answer:the answer is d

Step-by-step explanation:the graph is continuous in the positive and includes two then starts right after zero and goes to -4

Answer:

I believe it is 8m

Step-by-step explanation:

because 4 went up 2 so that is now 6 so if 6 goes up 2 then it would be 8

Answer:

y=-3x+3

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

14 + 51 = 65

Answer:

65

Step-by-step explanation:

14 + 51 = 65.

Hope there isn't anything else to it!

It looks like you're saying

[tex]f_X(x) = \begin{cases}\dfrac16&\text{if }x=-3 \\\\ \dfrac12&\text{if }x=6\\\\\dfrac13&\text{if }x=9\\\\0&\text{otherwise}\end{cases}[/tex]

(a) Given g(X) = (2X + 1)², the mean of g(X) is

[tex]E[g(X)] = \displaystyle \sum_{x\in\{-3,6,9\}} g(x) f_X(x) \\\\ = g(-3)f_X(-3) + g(6)f_X(6)+g(9)f_X(9) = \frac{25}6 + \frac{169}2 + \frac{361}3 = \boxed{209}[/tex]

(b) First compute the second moment of g(X) :

[tex]E[g(X)^2] = \displaystyle \sum_{x\in\{-3,6,9\}} g(x)^2 f_X(x) \\\\ = g(-3)^2f_X(-3) + g(6)^2f_X(6)+g(9)^2f_X(9) = \frac{625}{6} + \frac{28561}{2} + \frac{130321}{3} = 57825[/tex]

Then the variance of g(X) is

[tex]\mathrm{Var}[g(X)] = E[g(X)^2] - E[g(X)]^2 = 57825 - 209^2 = 14144[/tex]

The standard deviation is the square root of the variance:

[tex]\sqrt{\mathrm{Var}[g(X)]} = \sqrt{14144} \approx \boxed{118.93}[/tex]

csc^(-1) ( − √ 2 ) = -√ 2s

cos ^(-1)(sin (pi /6)) = cos (1/2)

Answer:

3x + 57 ≤ 90

Step-by-step explanation:

Answer:

3x+57<90

Step-by-step explanation:

Have a good day :)