I have no clue on how to do this someone help me out

Patterns are set of rules that guide the creation of a dataset. The observation from the first three designs are as follows:

The pattern

The first three design show that, as the design number increases (i.e. 1, 2, 3), the number of tiles used also increases (i.e. 7, 12, 19)

The expressions for the number of tiles

The design number and the number of tiles is represented as follows

[tex]1 \to 7[/tex]

[tex]2 \to 12[/tex]

[tex]3 \to 19[/tex]

From the designs, we observe that some tiles are at the middle, while other tiles are at the sides.

Design 1 has 1 tile at the center and 6 tiles at either sides.

So, we have:

[tex]1 \to 1 + 6[/tex]

[tex]2 \to 4 + 8[/tex]

[tex]3 \to 9 + 10[/tex]

Expand

[tex]1 \to 1^2 + 6 \to 1^2 + 2 \times 3 \to 1^2 + 2 \times (1 + 2)[/tex]

[tex]2 \to 2^2 + 8 \to 2^2 + 2 \times 4 \to 2^2 + 2 \times (2 + 2)[/tex]

[tex]3 \to 3^2 + 10 \to 3^2 + 2 \times 5 \to 3^2 + 2 \times (3 + 2)[/tex]

Notice the pattern,

The number of tiles in design n will be:

[tex]Tiles = n^2 + 2 \times (n + 2)[/tex]

Open bracket

[tex]Tiles = n^2 + 2n + 4[/tex]

Hence, the expressions for number of tiles in design n are:

[tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex]

Technology to prove that both expressions are equivalent

To prove that [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex] are equivalent using technology, the graphs of [tex]n^2 + 2(n + 2)[/tex] and [tex]n^2 + 2n + 4[/tex] can be plotted and then compared

The table and graph for the first 6 designs

The table entry for the first 6 designs is calculated as follows:

[tex]n = 1\ \ \ \ \ Tiles = 1^2 + 2 \times 1 + 4 = 7[/tex]        

[tex]n = 2\ \ \ \ \ Tiles = 2^2 + 2 \times 2 + 4 = 12[/tex]        

[tex]n = 3\ \ \ \ \ Tiles = 3^2 + 2 \times 3 + 4 = 19[/tex]        

[tex]n = 4\ \ \ \ \ Tiles = 4^2 + 2 \times 4 + 4 = 28[/tex]        

[tex]n = 5\ \ \ \ \ Tiles = 5^2 + 2 \times 5 + 4 = 39[/tex]        

[tex]n = 6\ \ \ \ \ Tiles = 6^2 + 2 \times 6 + 4 = 52[/tex]        

So, we have:

[tex]\begin{array}{cc}Design & {Tiles} & {1} & {7} & {2} & {12} & 3 & {19} & {4} & {28} & {5} & {39}& {6} & {52} \ \end{array}[/tex]

See attachment for the graph of the above table

All the points on the curve make sense in this scenario because all values are positive.

The pattern type

We have:

[tex]Tiles = n^2 + 2n + 4[/tex]

When an equation has a degree of 2, the equation is quadratic.

Hence, the pattern is quadratic.

The largest design that an empty sign of 10ft by 12ft can contain.

From the first three designs:

The number of tiles on a complete row and column are always the same.

Design 1 has 3 tiles in its complete row and column

Design 2 has 4 tiles in its complete row and column

Design 3 has 5 tiles in its complete row and column

The relationship between the design number (d) and the number of complete tiles (t) is:

[tex]d = t - 2[/tex]

For the 10ft by 12ft empty sign

[tex]t = 10[/tex] because [tex]10 < 12[/tex]

So, we have:

[tex]d = t - 2[/tex]

[tex]d = 10 - 2[/tex]

[tex]d = 8[/tex]

Hence, the largest design number is design 8

Read more about patterns at:

https://brainly.com/question/13382968

Answer:

2559458#763677_6$7387353637648383636

Answer:

For part5 every single one will be 'move 2 units right and 7 units down.'

Step-by-step explanation:

Because on part2 it told to translate the figure 2 units right and 7 units down, so every point will move 2 units right and 7 units down. I hope this helps.

X=10

Y=14

Step-by-step explanation:

Solve simultaneously using substitution method as shown in the image

Part-A:-

[tex]\\ \sf\longmapsto x^2+3x-70(4x-12)[/tex]

[tex]\\ \sf\longmapsto 4x^2+12x-280-12x^2+36x+840[/tex]

[tex]\\ \sf\longmapsto -8x^2+48x+560[/tex]

Now

[tex]\\ \sf\longmapsto (f.g)(3)[/tex]

[tex]\\ \sf\longmapsto -8(3)^2+48(3)+560[/tex]

[tex]\\ \sf\longmapsto -72+144+560[/tex]

[tex]\\ \sf\longmapsto 72+560[/tex]

[tex]\\ \sf\longmapsto 632[/tex]

Part-B:-

[tex]\\ \sf\longmapsto f(3)[/tex]

[tex]\\ \sf\longmapsto (3)^2+3(3)-70[/tex]

[tex]\\ \sf\longmapsto 9+9-70[/tex]

[tex]\\ \sf\longmapsto 18-70[/tex]

[tex]\\ \sf\longmapsto -52[/tex]

Now

[tex]\\ \sf\longmapsto g(f(3))[/tex]

[tex]\\ \sf\longmapsto g(-52)[/tex]

[tex]\\ \sf\longmapsto 4(-52-3)[/tex]

[tex]\\ \sf\longmapsto 4(-55)[/tex]

[tex]\\ \sf\longmapsto -220[/tex]

Part:-C

[tex]\\ \sf\longmapsto g(-2)[/tex]

[tex]\\ \sf\longmapsto 4(-2-3)[/tex]

[tex]\\ \sf\longmapsto 4(-5)[/tex]

[tex]\\ \sf\longmapsto -20[/tex]

Now

[tex]\\ \sf\longmapsto f(g(-2))[/tex]

[tex]\\ \sf\longmapsto f(-20)[/tex]

[tex]\\ \sf\longmapsto (-20)^2+3(-20)-70[/tex]

[tex]\\ \sf\longmapsto 400-60-70[/tex]

[tex]\\ \sf\longmapsto 400-130[/tex]

[tex]\\ \sf\longmapsto 270[/tex]

Part-D:-

[tex]\\ \sf\longmapsto (g.f)(-2)[/tex]

[tex]\\ \sf\longmapsto -8(-2)^2+48(-2)+560[/tex]

[tex]\\ \sf\longmapsto 32-96+560[/tex]

[tex]\\ \sf\longmapsto -64+560[/tex]

[tex]\\ \sf\longmapsto 496[/tex]

Answer:

-9

math websites helpp:)

Answer:

C: 1/4x + 4 = 3

Step-by-step explanation:

1/4x + 4 = 3

1/4x = 3 - 4

x = - 4

Thus, option c gives out the solution x = - 4.

Answer:

please help me my friend

Answer:

[tex]227 \frac{1}{16} [/tex]

Step-by-step explanation:

[tex]15 \frac{3}{4} \times (7 \frac{3}{4} + 6 \frac{2}{3} ) [/tex]

[tex] = \frac{63}{4} \times ( \frac{31}{4} + \frac{20}{3} )[/tex]

[tex] = \frac{63}{4} \times ( \frac{93}{12} + \frac{80}{12} )[/tex]

[tex] = \frac{63}{4} \times \frac{173}{12} [/tex]

[tex] = 227\frac{1}{16} [/tex]

Answer:

B. 180 degrees

Step-by-step explanation:

They are exactly across from one another. Here, this will make more sense.

               0 (starting point)

               |

 270--            -- 90

               |

             180 (where you ended up)

Now till the screen towards the right. The zero and the 180 should be pointing in the same direction as the squares.

Degrees was ABCD rotated or transformed  to form A'B'C'D' is  180 degrees about the origin .

In geometry, a transformation  is an operation that moves, flips, or changes a shape to create a new shape. A rotation is an example of a transformation where a figure is rotated about a specific point (called the center of rotation), a certain number of degrees.

According to the question

ABCD is rotated counterclockwise about the origin.  

Degrees was ABCD transformed to form A'B'C'D' is

180 degrees about the origin

As when we rotate a figure of 180 degrees about the origin either in the clockwise or counterclockwise direction, each point of the given figure has to be changed from (x, y) to (-x, -y) and graph the rotated figure.

So, as per figure ABCD which is in first quadrant were x and y both are positive and  figure A'B'C'D' third quadrant were x and y both are negative.

Hence, Degrees was ABCD rotated or transformed  to form A'B'C'D' is  180 degrees about the origin .

To know more about rotation in graph here:

https://brainly.com/question/12091224

#SPJ2

Answer:

0.2272727

Step-by-step explanation:

The total number of marbles to begin with is 4 + 2 + 6 = 12

He draws 1 marble, which makes the total 11

He draws another marble, which makes the new total 10

6/12 * 5 / 11 = 30 / 132 = 1/2 * 5 / 11 = 5/22

I take it that the approximate probability is a decimal.

30/132 = 0.22727 ...

5/22 = 0.2272727 ....

The answers to the two fractions are the same and approximately the right answer of 5/22

Answer:

240766 - 52731x + 840x^2 + 144x^3

Step-by-step explanation:

David makes 17(25)

and

Linda maked 25(7)

so it would make the equation 17(25)+25(7)

425+175 together they would be making

600 dollars a week

Answer:

g = -3

Step-by-step explanation:

-2 (4g - 3) = 30

-8g + 6 = 30

-8g = 24

g = -3

Answer:

[tex] \boxed{g = -3} [/tex]

Step-by-step explanation:

[First, distribute the factored term on the left side of the equation (distribution property of equality)]

-2 ( 4g – 3 ) = 30 →

-2 ( 4g ) – -2 ( 3 ) = 30 →

-8g + 6 = 30 →

[Next, subtract 6 from both sides (subtraction property of equality)]

-8g + 6 – 6 = 30 – 6 →

-8g = 24 →

[Finally, divide both sides by -8 to cancel out the coefficient of -8 in -8g and reduce it to solve for g (division property of equality)]

-8g / -8 = 24 / -8 →

g = -3

Answer:

[tex]6 \times {10}^{3} = 6000[/tex]

Step-by-step explanation:

[tex](1.5 \times {10}^{ - 6} ) \times (4 \times {10}^{9} )[/tex]

[tex] = (1.5 \times 4) \times ( {10}^{ - 6} \times {10}^{9} )[/tex]

[tex] = 6 \times ( {10}^{ - 6} \times {10}^{9}) [/tex]

[tex] = 6 \times {10}^{ - 6 + 9} [/tex]

[tex] = 6 \times {10}^{3} [/tex]

[tex] = 6000[/tex]

Answer:

No

Step-by-step explanation:

Any point that aligns on the line of y = 2 is a solution. But (8, -2) falls below that line since the point's y-coordinate is equal to -2, not 2. Hope this helps!

Answer:

Option I

Step-by-step explanation:

Let

[tex]f(x)=x^2+3x-28[/tex]

We know by subsitution,

[tex]f(-9)=(-9)^2+3(-9)-28=26>0[/tex]

[tex]f(0)=0^2+3(0)-28=-28<0[/tex]

[tex]f(5)=5^2+3(5)-28=12>0[/tex]

Since a quadratic equation only have 1 turning point, we know for some values a in (-9, 5) such that f(a)<0. And the option of the range of a must lie with in (-9, 5).

Therefore, only Option I is correct.

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

Explanation:

We start with set M = {m,a,t,h,s}

Then we cross off any letter we find in set N

So we'll cross off the 'm' and 'a' since they are both in N. We're kicking these letters out of the set.

We go from {m,a,t,h,s} to {t,h,s}

We leave t,h and s alone as those letters aren't in set N. So we don't kick them out.

Answer: {t,h,s}  choice A

Answer:

B

Step-by-step explanation:

For example, if i gave u 28

The digit two stands for 20, and the digit 8 stands for 8, therefore u call it 28

Each spot has it own name

For example if i gave u the number 12345

5 is in the first spot, therefore 5 x 1 =5

4 is in the tenth spot, therefor 4 x 10 = 40

3 is in the hundred spot, therefore 3 x 100 =300

2 is in the thousand spot, therefore 2 x 1000=2000

1 is in the ten thousand spot, therefore 1 x 10000

=100000

So if u add all these numbers together u will get

12345

OK, so for your question, the 6 in 558672, is in the hundred spot, so 6 x 100 =600

The 3 in 74139 is in the ten spot, so 3 x 10=30

So the product is to multiply them together

600 x 30 =18000

Hey there! I'm happy to help!

Here is our equation

3x - 4 (2x - 5) = 15

First, we will sue the distributive property to remove the parentheses. The term outside the parentheses is -4, so that is what we multiply the insides by.

3x-8x+20=15

We combine our like terms (our x-values).

-5x+20=15

We subtract 20 from both sides.

-5x=-5

We divide both sides by -5.

x=1

Have a wonderful day and keep on learning! :D

Answer: x = 1

Step-by-step explanation:

Given

3x - 4 (2x - 5) = 15

Expand parentheses and apply the distributive property

3x - 4 · 2x - 4 · (-5) = 15

3x - 8x + 20 = 15

Combine like terms

(3x - 8x) + 20 = 15

-5x + 20 = 15

Subtract 20 on both sides

-5x + 20 - 20 = 15 - 20

-5x = -5

Divide -5 on both sides

-5x / -5 = -5 / -5

[tex]\boxed{x=1}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

125

Step-by-step explanation:

5³= 5 × 5 × 5 = 125

Answer:

125 is your answer.

Step-by-step explanation:

b = 5

=5 X 5 X 5

=125

Answer: 8.1 × 10¹⁰

Concept:

When multiplying exponents, add the exponents together.

When dividing exponents, subtract the exponents.

Solve:

Given expression

(3 × 10⁶) × (2.7 × 10⁴)

Put like terms together

=3 × 2.7 × 10⁶ × 10⁴

Combine like terms

=8.1 × 10⁶⁺⁴

=[tex]\boxed{8.1*10^{10}}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

8.1 x 10^10

Step-by-step explanation:

When you do this type of problem you want to combine the like terms together, in this case is this.

3 × 2.7 × 10⁶ × 10⁴. So you will get.        

8.1 x 10⁶⁺⁴

Which is 8.1 x 10^10 simplified

Answer:

12:36

Step-by-step explanation:

2 + 6 = 8

48/8 = 6

6 * 2 = 12

6 * 6 = 36

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

8 more hours

Step-by-step explanation:

13 hrs + 6 hrs = 19

27hrs total - 19hrs

27-19+=8 more hours. TADA!!!!

Answer:

8

Step-by-step explanation:

total hours you can work 3 week : 27 hours

total hour you can work in first and second week: 13+6= 19 hours

=>the third week will take: 27 - 19=8 hours