There is a step missing from the equation below. Which equation is the missing step

a) If the [tex]n[/tex]-th term is [tex]x_n = cn+d[/tex], then

[tex]x_1 = c + d = 16[/tex]

[tex]x_2 = 2c + d = 19[/tex]

Eliminating [tex]d[/tex],

[tex](2c+d) - (c+d) = 19-16 \implies c = 3[/tex]

Solving for [tex]d[/tex],

[tex]3 + d = 16 \implies d = 13[/tex]

Then

[tex]\boxed{x_n = 3n + 13}[/tex]

b) When [tex]n=11[/tex], we get

[tex]x_{11} = 3\cdot11 + 13 = \boxed{46}[/tex]

The value of Exponent [tex](-1^{3}) ^{6}[/tex] is 1

Exponent:

A number's exponent indicates how many times we multiply a number by itself. For example, [tex]3^{4}[/tex] indicates that we have multiplied 3 four times. The expanded form is 3×3×3×3. An exponent is also known as a number's power. It can be an integer, a fraction, a negative number, or decimals.

Law of Power of a Power: [tex](x^{a}) ^{b}[/tex]=[tex]x^{ab}[/tex] {Here a,b can be an integer, a fraction, a negative number, or decimals}

Given question is [tex](-1^{3}) ^{6}[/tex]

⇒[tex](-1^{3}) ^{6}[/tex]=[tex](-1)^{6.3}[/tex]{ using Law of Power of a Power}

⇒[tex](-1)^{18}[/tex]=1 { -1 raised any even number= positive one}

Therefore,The value of Exponent [tex](-1^{3}) ^{6}[/tex] is 1

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Answer:

x=11

Step-by-step explanation:

4x + 17 = 5x + 6

Solve for x

Subtract 4x from each side

4x-4x + 17 = 5x-4x + 6

17 = x+6

Subtract 6 from each side

17-6 = x+6-6

11 =x

Answer:

[tex] \sf \: x = 11[/tex]

Step-by-step explanation:

[tex] \sf \: 4x + 17 = 5x + 6[/tex]

Subtract both sides by 4x to remove 4x.

[tex] \sf4x + 17 - 4x = 5x - 4x + 6 \\ \sf 17 = x + 6[/tex]

Subtract both sides by 6 to remove 6 .

[tex] \sf17 - 6 = x + 6 - 6 \\ \sf11 = x[/tex]

The correct option is C. Connect every intersection of an arc and the circle with a segment.

When constructing an inscribed regular hexagon, the steps come after six arcs are created on the circle is connect every intersection of an arc and the circle with a segment.

A hexagon is a two-dimensional geometric shapes shape with six sides that have the same or different length dimensions. A hexagonal flooring, pencil cross-section, honeycomb, and other real time of the hexagon shape include.

Some key features related to regular hexagon are-

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It is the location of the center of an equal distance point traced from the center. A circle's radius is the distance among its center and its circumference.

When building an engraved regular hexagon.

Following the creation of six arcs on the circle, the following steps will be taken.

A segment should be connected to every intersection of an arc and a circle.

The correct question is -

When constructing an inscribed regular hexagon, what steps come after six arcs are created on the circle?

A. Connect every other intersection of an arc and the circle with a segment. B. Connect the intersections of the diameters and the circle with a segment.

C. Connect every intersection of an arc and the circle with a segment.

D. Connect the midpoint of the radius to the endpoint of the diameter.

Answer: (C) Connect every intersection of an arc and the circle with a segment.

Step-by-step explanation: butter

Answer:

The middle number in a set of numbers.

Step-by-step explanation:

For example, if I have a set of numbers like 5,6,3,7,9

3 would be the median because it is in the middle.

I hope I helped!!

The debt-equity ratio is  0.726 : 1 or 72.64%

Debt is the product of debt ratio and total equity

Debt = debt ratio × total equity

We have been given that

Asset turnover = 1.84

Profit margin = 5.1%

Return on equity of 16.2 percent

Let we have to assume that sales are $100.

Therefore net Income = 100×0.051 = 5.1

Total Assets = 100/0.84

Total Assets = 54.35

⇒ 0.162 = 5.1 / Total equity

⇒ Total Equity = 5.1 / 0.162

⇒ Total Equity = 31.48

Total assets = Total debt + Total equity

⇒ 54.35 = Total debt + 31.48

⇒ Total debt = 54.35 - 31.48

⇒ Total debt = 22.87

The debt-equity ratio = 22.87 / 31.48

The debt-equity ratio = 0.72649 : 1 or 72.649%

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The plumber has enough handles to install the entire 9 sinks

A plumber needs to install handles in 9 sinks

Each sink has a hot water handle and a cold water handle, that means each sink will require 2 handles. This means the multiplication of 9 and 2

= 9 × 2

= 18

The plumber has a total of 19 handles and 18 handles are required for the installation. This means that he has enough handles and he will be left with one handle.

Hence, there will be enough handles for the installation.

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Answer:0.757

Step-by-step explanation:

Answer:

63,756 ft / 70 min

Answer:

Smallest integer=14

Step-by-step explanation:

(x+x+2+x+4+x+6)/4=17

(4x+12)/4=17

4x+12=68

4x=68-12

4x=56

x=56/4

x=14

numbers are: 14, 16, 18, 20

[tex]x + 74 \cdot 10 - (7 \cdot 86) = 318[/tex]

[tex]x+74\cdot \:10-7\cdot \:86=318[/tex]

[tex]x+740-7\cdot \:86=318[/tex]

[tex]x+740-602=318[/tex]

[tex]x+138=318[/tex]

[tex]x = 318 - 138 = 80[/tex]

Imparatul s-a gandit la numarul 80.

26 is the right answer .

Given expression  5(7 - 4)² ÷ 3 + 11.

BODMAS rule is an acronym that is used to remember the order of operations to be followed while solving expressions in mathematics. It stands for B - Brackets, O - Order of powers or roots, D - Division, M - Multiplication, A - Addition, and S - Subtraction. It means that expressions having multiple operators need to be simplified from left to right in this order only. First, we solve brackets, then powers or roots, then division or multiplication (whichever comes first from the left side of the expression), and then finally, subtraction or addition, whichever comes on the left side.

Using the BODMAS rule, we solve bracket first,

5(3)² ÷ 3 + 11

45 ÷ 3 + 11

= 15 + 11

= 26

after evaluate the expression we get 26 as answer.

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Answer:

13.32

Step-by-step explanation:

7 + 2 [tex]\sqrt{10}[/tex]

= 13.32456

Rounded to nearest hundredth = 13.32

The first odd number = 15

The second is then = 17

Consecutive numbers are those that appear consecutively after one another in the range of smallest to largest. An illustration would be the sequence of numbers 1, 2, 3, 4, 5, and so on.

Let x be the first of the following numbers to represent it algebraically. Following that, the numbers x + 1, x + 2, and x + 3 would be arranged in order. You must make sure that your first selection is an even number if the question requires consecutive even numbers.

We can employ the expression "2n," where n is any integer, to ensure that the result is even. By using the expression "2n + 1," we can ensure an odd number.

"2n + 3" will be the following odd number:

(2n + 1)(2n + 3) is the component of the odd integers, and it equals 255:

(2n + 1)(2n + 3) = 255

4n2 + 8n + 3 = 255

4n2 + 8n - 252 = 0

n2 + 2n - 63 = 0

(n + 9)(n -7) = 0

n = -9 and n = 7

We can disregard n = -9 because we are informed that the figures must be positive.

If n = 7,

The first odd number = 2(7) + 1 = 15

The second is then 17

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I understand that the question you are looking for is:

The product of 2 positive, consecutive odd numbers is 255 .

Part A: Write a quadratic equation in standard form to represent this problem

Part B: What are the 2 numbers?

Part C: Show your work for Part B.

Answer: d=12

Step-by-step explanation:

[tex]\displaystyle\\\frac{3d-2}{8} =-d+16\frac{1}{4} \\\\\frac{3d-2}{8} =-d+\frac{16*4+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{64+1}{4} \\\\\frac{3d-2}{8} =-d+\frac{65}{4}[/tex]

Multiply both parts of the equation by 8:

[tex]\displaystyle\\3d-2=(-d+\frac{65}{4} )(8)\\\\3d-2=-8d+65*2\\\\3d-2=-8d+130\\\\3d-2+2=-8d+130+2\\\\3d=-8d+132\\\\3d+8d=-8d+132+8d\\\\11d=132\\[/tex]

Divide both parts of the equation by 11:

[tex]d=12[/tex]

The correct responses for the points, segments, lines, planes, are as follows;

1. M, S, X, and Y

2. Two lines are; [tex] \overleftrightarrow{SX}[/tex], [tex] \overleftrightarrow{YR}[/tex]

3. [tex] \overline {MX}, \overline{MY}, \overline {MS}, \overline{MR}[/tex]

4. [tex]\overrightarrow{MT}[/tex]

5. S, M, T

6. T

7. [tex] \overline{MT}[/tex]

8. [tex] \overleftrightarrow{SX}[/tex]

9. [tex] \overleftrightarrow{SX}[/tex]

10. [tex] \overline{MR}[/tex]

11. A line

12. A plane

13. A point

14. A plane

15. A ray

16. A segment

Please find attached the drawing for the figures in questions 17, 18, 19,and 20

1. A point in Euclidean geometry is a location in space.

Four points are; M, S, X, and Y

2. A line has no thickness and extends indefinitely in both directions.

Two lines are;

[tex] \overleftrightarrow{SX}[/tex]

[tex] \overleftrightarrow{YR}[/tex]

3. Four segments are;

[tex] \overline {MX}, \overline{MY}, \overline {MS}, \overline{MR}[/tex]

4. A ray that has M as an endpoint is \overrightarrow{MT}

5. Three collinear points are; S, M, T

6. A point not on [tex] \overline{YR}[/tex] is T

7. A segment with points T and M as its endpoints is [tex] \overline{MT}[/tex]

8. A line that does not contain R is [tex] \overleftrightarrow{SX}[/tex]

9. A line containing M is; [tex] \overleftrightarrow{SX}[/tex]

10. A segment of lies on [tex] \overleftrightarrow{YR}[/tex] is MR

11. A toothpick suggests a line

12. A floor suggests a plane

13. The tip of a pin suggests a point

14. The water surface of a swimming pool suggest a plane

15. A beam of light from a laser suggests a ray

16. A fence pole suggests a segment

Please find attached the drawing for the figures in questions 17, 18, 19, and 20

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Answer: B(-2,-7)

Step-by-step explanation:

[tex]\displaystyle\\M(x_M,y_M)=(\frac{x_A+x_B}{2},\frac{y_A+y_B}{2}) \\\\x_A=2\ \ \ \ x_M=0\ \ \ \ y_A=-1\ \ \ \ y_M=-4\\\\x_M=\frac{x_A+x_B}{2} \\\\Multiply\ both\ parts\ of \ the \ equation\ by\ 2:\\2x_M=x_A+x_B\\\\\Rightarrow\ x_B=2x_M-x_A\\\Rightarrow \ x_B=2(0)-2\\\Rightarrow\ x_B=0-2\\\Rightarrow\ x_B=-2\\Similarly,\\y_B=2y_M-y_A\\y_B=2(-4)-(-1)1\\y_B=-8+1\\y_B=-7\\Thus,\\B(-2,-7)[/tex]

Answer:

Hello,

Step-by-step explanation:

1) Conjecture: The sum of any two odd numbers is even
(2a+1)+(2b+1)=2a+2b+2=2(a+b+1) is even

2) Conjecture: The product of any two odd numbers is ODD
(2a+1)*(2b+1)=4ab+2b+2a+1=2(2ab+a+b)+1 is ODD
1*1=1

1*5=5

7*9=63

9*11=99

13*21=273

3) Conjecture: The product of a number (x-1) and the number (x+1) is always equal to the difference of the square of x between 1

(x-1)(x+1)=x²-x+x-1=x²-1

What is 10.0833333 as a fraction?

To write 10.0833333 as a fraction you have to write 10.0833333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

10.0833333 = 10.0833333/1 = 100.833333/10 = 1008.33333/100 = 10083.3333/1000 = 100833.333/10000 = 1008333.33/100000 = 10083333.3/1000000 = 100833333/10000000

And finally we have:

10.0833333 as a fraction equals 100833333/10000000

Answer:

Step-by-step explanation:

So we know that 22000+(-480t)

And we know that T is the minutes so we just gonna apply the number of minutes into that

if 5 minutes we going to write 22000+(-480 x 5)

and so on

Good luck :)

Part i) Simple interest = $600,000.00.

Part ii) Selling price = $2,900,000.00.

Part i) The formula for simple interest is;

SI = PRT/ 100

P = principal amount = $2,000,000.00.

R = rate of interest  = 15%

T = time in years = 2 years.

Put the value in the formula;

SI = ( $2,000,000 × 2 × 15)/100

On simplification;

SI = 600,000

Thus, the simple interest at the end of 2 years is $600,000.oo

Part ii) the selling price

Selling price = cost price + profit

Selling price = cost price + 45%of cost price

Cost price = $2,000,000.00

45%of cost price = 45× $2,000,000.00/100

45%of cost price = 900,000.00

Selling price = $2,000,000.00 + 900,000.00

Selling price = $2,900,000.00.

The the selling price of the fridge is found as $2,900,000.00.

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There are 99 students in Misha's grade.

So,

Therefore, there are 99 students in Misha's grade.

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Answer:

The [tex]y[/tex]-coordinate of this midpoint is [tex]5[/tex].

Step-by-step explanation:

Let [tex]{\sf A}[/tex] and [tex]{\sf B}[/tex] denote two points in the cartesian plane.

If point [tex]{\sf A}[/tex] is at [tex](x_{a},\, y_{a})[/tex] while point [tex]{\sf B}[/tex] is at [tex](x_{b},\, y_{b})[/tex], the midpoint of [tex]{\sf AB}[/tex] would be at:

[tex]\begin{aligned}\left(\frac{x_{a} + x_{b}}{2},\, \frac{y_{a} + y_{b}}{2} \right)\end{aligned}[/tex].

In other words, the [tex]y[/tex]-coordinate of the midpoint of [tex]{\sf AB}[/tex] would be the average of the [tex]y\![/tex]-coordinates of point [tex]{\sf A}[/tex] and point [tex]{\sf B}[/tex].

In this question, the [tex]y[/tex]-coordinates of point [tex]{\sf A}[/tex] and point [tex]{\sf B}[/tex] are [tex]3[/tex] and [tex]7[/tex], respectively. The [tex]y\![/tex]-coordinate of the midpoint of [tex]{\sf A}\![/tex] and [tex]{\sf B}[/tex] would be the mean [tex](3 + 7) / (2) = 5[/tex].

Answer:

-13, -7.9, -7.7, -3.3, 0.1, 2.4

Step-by-step explanation:

The 3-sigma limits for a process whose distribution conforms to the normal distribution include 99.74% of the observed values, in the long run. This means that if you have a process that is normally distributed, then, in the long run, 99.74% of the values will fall within three standard deviations of the mean.

This is an important concept to understand because it can be used to help control a process. For example, if you know that 99.74% of the values will fall within three standard deviations of the mean, then you can set up control limits that correspond to those values. This can help you ensure that your process stays within the desired range.

Understanding the 3-sigma limits can help you better control your process and ensure that it produces the desired results.

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Using Dot product

Two vectors x and y are said to be orthogonal if their dot product is zero

⇒ x.y = 0

This is because orthogonal vectors are make an angle of 90° with each other and therefore θ becomes 90°

Dot product is given by :

x.y = x*y*cosθ = xycos90°

∵cos90° is zero , x.y=0 for orthogonal vectors.

Let u,v,y be vectors in R

y is orthogonal to u and v

⇒ y.u = 0   and  y.v=0

Now, we have to prove that y is orthogonal to (u+v)

The dot product of these vectors is given by:

y.(u+v) = y.u + y.v  (Dot product is distributive) = 0 + 0 = 0

∵The dot product is zero , vector y and (u+v) are orthogonal

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The answer is m∠1 = 84°

Step-by-step explanation:

m∠4 = m∠2 so m∠2 = 96°

m∠1 + m∠2 = 360 - m∠4 - m∠2

m∠1 + m∠2 = 360 - 96 - 96

m∠1 + m∠2 = 168

m∠1 = 168/2

m∠1 = 84°

If three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. The cost of the jalapeno poppers is: $11.09.

First step is to calculate the amount that the three friend paid

Amount=$9.98×3

Amount=$29.94

Now let calculate the cost of the jalapeno poppers

Cost=$29.94-$18.85

Cost=$11.09

Therefore If three friends ate at a restaurant. They ordered nachos for $18.85 and jalapeno poppers. Each friend paid $9.98, not including sales tax or tip, which was one third of the total. The cost of the jalapeno poppers is: $11.09.

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