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Option 3, definition of congruent segments is the answer I'm pretty sure

9514 1404 393

Answer:

  a) see attached for the drawings

  b) p = 8n -4

  c) a(n) = 4n(n -3) +13  for n > 1; a(1) = 1

  d) none

Step-by-step explanation:

a) The overall dimensions of the next two stages of the pattern will be 7×7 and 9×9. Excluding the 4 "ears", the central squares are 5×5 and 7×7. The drawings are shown in the attachment.

__

b) The sequence of perimeter values is ...

  4, 12, 20, 28, 36, ...

This is an arithmetic sequence with a common difference of 8. A suitable formula for the perimeter p of stage n is ...

  p = 8n -4

__

c) The sequence of area values is ...

  1, 5, 13, 29, 53, ...

The first differences are ...

  4, 8, 16, 24, ...

and the second differences are ...

  4, 8, 8, ...

At no level are the differences "common", so this sequence cannot be described by a polynomial function. After the first one, the second differences are common, so the sequence after the first term can be described by a quadratic function.

The function describing the sequence must be defined in two parts:

  [tex]a(n)=\begin{cases}1&\text{ for $n = 1$}\\4n(n-3)+13&\text{ for $n>1$}\end{cases}[/tex]

__

d) Because the function must be piecewise defined, the area sequence is not any of the types of sequences listed. After the first term, it is a quadratic sequence.

_____

Additional comment

The leading coefficient of the quadratic formula for the area sequence is half the second difference. When 4n² is subtracted from the sequence of areas, the remaining arithmetic sequence has a common difference of -12. In order to bring the total of these quadratic and arithmetic sequences up to the correct area value, 13 must be added. This formula would give a(1) = a(2) = 5, which is not the correct value for a(1). Hence, that must be defined separately.

Answer:

2^2 * 3^2

Step-by-step explanation:

2 * 2 * 3 * 3

We are multiplying 2 twos and we are multiplying 2 threes 3^2

The base is the number and the exponent is the number of the times

2^2 * 3^2

Work Shown:

20% = 20/100 = 0.20

20% of 52.25 = 0.20*52.25 = 10.45

side note: The total cost, including the tip, is 52.25+10.45 = 62.70 dollars

Answer:

-1190

Step-by-step explanation:

I'm gonna do some sketchy stuff doda doda

Answer:

7.75J

Step-by-step explanation:

kinectic energy formula = 1/2mv²

m mass

v velocity

1/2 x 62 x 0.5² = 7.75

A woman is walking at a rate of 0.5m/s. Her mass is 62 kg. The woman's kinetic energy in joules:

K.E. = 7.75 kgm²/s²

What is Kinetic Energy?

The energy an object has as a result of motion is known as kinetic energy in physics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration until its speed changes.

Given,

Mass = 62kg

Velocity = 0.5m/s

The formula for Kinetic Energy is :

K.E. = 1/2 m v².

K.E. = 1/2 (62)(0.5)²

K.E. = 1/2 (62)(0.25)

K.E. = 1/2 (15.5)

K.E. = 15.5/2

K.E. = 7.75 kgm²/s²

or

K.E. = 7.75 joules

Hence, he woman's kinetic energy in joules, K.E. = 7.75 kgm²/s²

To learn more about Kinetic Energy click on the link

https://brainly.com/question/8101588

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Answer:

8/27 ft cubed

Step-by-step explanation:

2/3 cubed = 8/27

8/27 ft cubed

Answer:all

Step-by-step explanation:so because u have done all

Answer:

The answer is 8

Step-by-step explanation:

-8/3 divided by -1x2 / 3x2

-8/3 divded by -1/3

-8/3 x 3 / 3 x -1 = -8/-1 =  8 x -1 + 0 / -1

= 8

So your answer is 8

Please mark Brainliest I answered First

Hey there!

39 = - u / 6

MULTIPLY 6 to BOTH SIDES

39(9) = (-u / 6)(6)

CANCEL out: the RIGHT side

KEEP: the LEFT side because it helps solve for the u-value

NEW EQUATION: -u = 234

DIVIDE -1 to BOTH SIDES

-1u / -1 = 234 / -1

CANCEL out: -1 / -1 because it gives you 1

KEEP: 234 / -1 because it gives you the result of the u-value

NEW EQUATION: u = 234 / -1

SIMPLIFY IT!

u = -234

Therefore, your answer is: [u = -234]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

-234

[tex]u = ( - 6) \times 39 = - 234[/tex]

Answer:

x = − 8

Step-by-step explanation:

Factor then solve to find the complex solutions.

Answer:

11

Step-by-step explanation:

Rewrite expression using given information:

20 - 3a + 2b = 20 - 3*7 + 2*6

20 - 21 + 12 = 11

Answer:

hope this helps

pls mark as brainliest

Answer:

7 3/5 is the correct answer

this is literally kindergarten math smh

its 21

Answer:

BIN

TIC

SIT

BIT

MOB

ROT

SIR

BAN

BAM

TAN

RAT

ROB

theres tons of words you can make, just take a few seconds and find as many as you can

Answer:

720

Step-by-step explanation:

the way I read this problem is like a Scrabble set. Start by getting a unique set of letters:

COMBINATRS

10 unique letters

10! / (10-3)!

10! / 7!

720

Answer:

The 2nd one

Step-by-step explanation:

The trend line properly describes the data relationship in the scatterplot is plot A.

A trend line is also known as a line of best fit, and it is used to illustrate the behaviour of a set of data to assess if it is in a given pattern. So, a trend line is an analytical technique that is frequently used in conjunction with a scatter plot to determine whether or not there is a relationship between two variables.

As, per the plots.

The scatter plot A have the points distributed symmetrically on the both side of line.

Also, straights lines are negatively correlated with scatter points.

Learn more about Trend line here:

https://brainly.com/question/22601112

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Answer: 192

Step-by-step explanation:

To find the volume of a shape, we multiply the length by the width by the height. Since this is a cube, we know that they are all 4, so we do 4 times 4 times 4. We get 64. SInce we know that Cassie needs a cube with a volume that is 3 times of the previous volume, 64, we multiply 64 by 3. The answer is 192.

Answer:

192 in³

Step-by-step explanation:

The volume of a cube is represented by raising one side length to the 3rd power.

4 x 4 x 4 = 64

64 is the volume of the first box.

The second box is 3 times the value of the third box, so the equation for the third box is:

64 x 3 = 192

Answer:4

Step-by-step explanation:

Answer:

z = 72

Step-by-step explanation:

-1/4z + 12 = -6

× 4

-z + 48 = - 24

-z = - 72

z = 72

Answer:

-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³

Step-by-step explanation:

1) Distribute

4x²y⁷(-7x⁶z⁹ + 2y³ + 6z³)

-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³

Answer:

-28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.

Step-by-step explanation:

4x^2y^7(-7x^6z^9+2y^3+6z^3)

Expanding:

= -28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.

Answer:

True

Step-by-step explanation:

Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.

Answer:

True

Step-by-step explanation:

Vertical angles are angles that essentially opposite of eachother. Vertical angles are a pair of opposite angles formed by intersecting lines.

Answer:

y=-1/2x+7/2

Step-by-step explanation:

Gradient is negative reciprocal so -1/2x

3=-1/2x + 7/2

y=-1/2x+7/2

Answer:

perpendicular lines have the same gradient

y=2x+3

The gradient of the two lines is 2

Gradient=change in y/change in x

=y2-y1/x2-x1

Let (x,y) also lie on the line

2= y-3/x-1

2(x-1) =y-3

2x-2=y-3

2x-y=-3+2

2x-y= -1

2x+1 =y

y=2x+1

Step-by-step explanation:

HOPE THAT THIS IS HELPFUL.

HAVE A GREAT DAY

Answer:

The answer is 200 I AM POSITIVE

Step-by-step explanation:

Mark me as branliest maybe??