Refer to ®R .
Identify a chord that is also a diameter.

According to the question, the Fibonacci series is a series of sequence of numbers. It follows one standard property which states that every third term in the series is the addition of first term and second term.

Now, the first ten terms of the Fibonacci sequence is as follows:

Fibonacci Series = [tex]{1,1,2,3,5,8,13,21,34,55}[/tex]

The sum of the first ten number of the Fibonacci series is as follows:

Sum = [tex]1+1+2+3+5+8+13+21+34+55 = 143[/tex]

As per question, divide the calculated sum by eleven. Therefore, it can be written as:

Required Division = [tex]\frac{143}{11} = 13[/tex]

Hence, the solution for the given series is [tex]13[/tex].

What is a Fibonacci series?

Fibonacci series is an infinite series of sequences of numbers. The important property of this series is, every third term is the addition of the first and second term. In this, the first term either starts with zero or one.

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The distance between line k and point F(-4,0) is 3.6 units

The correct answer is an option (G) 3.6 units

We know that for a line l: ax + by + c = 0 and a point P(x1, y1), the distance between the line line 'l' and a point P is:

[tex]d=\frac{|ax_1+by_1+c|}{\sqrt{a^{2} +b^{2} } }[/tex]

In this question we have been given a line k contains points at (4,1) and (-5,-5).

Also, we have been given a point F(-4, 0)

We need to find the distance between line k and point F(-4,0).

First we find the equation of line k.

[tex]\frac{y-1}{-5-1} =\frac{x-4}{-5-4} \\\\\frac{y-1}{-6} =\frac{x-4}{-9} \\\\-9y+9=-6x+24\\\\6x-9y+9-24=0\\\\6x-9y-15=0[/tex]

So, the equation of line k is 6x - 9y - 15 = 0

Now we find the distance between line k and point F(-4, 0).

Using above formula the distance between line k and point F(-4,0) would be,

[tex]d=\frac{|6(-4) - 9(0) - 15|}{\sqrt{6^{2} +(-9)^{2} } } \\\\d=\frac{|-24-0-15|}{\sqrt{36+81} }\\\\ d=\frac{|-39|}{\sqrt{117} } \\\\d=\frac{39}{10.82}\\\\ d=3.6[/tex]

Therefore, the distance between line k and point F(-4,0) is 3.6 units

The correct answer is an option (G) 3.6 units

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Length of AC is 54 units.

The midpoint of a line is a point that bisects the line into equal parts. It is equidistant from both end points of the line.

As B is the midpoint of AC,

AB = BC

∴ 4x - 5 = 11 + 2x

∴ 4x - 2x = 11 + 5

∴ 2x = 16

∴ x = 8.

Now, AC = AB + BC

∴ AC = 4x - 5 + 11 + 2x

Substituting the value of x,

∴ AC = 4(8) - 5 + 11 + 2(8)

∴ AC = 54 units

Thus, the length of AC is 54 units.

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    The numbers that are given:

-0.5-0.25-0.125- . . . . . .

 They are part of an infinite series

 A series is the summation of a set of numbers or sequences.

      A sequence is an order of elements that are governed by a pattern, that is, it has variations between each element that remain constant and allow us to determine values before or after the known elements.

 A sequence maintains an order, and this numerical order can be finite or infinite, in the given case we have the following list:

-0.5-0.25-0.125- . . . . . .

If we analyze the variation between each term we have the form:

(-1/2ⁿ)

(-1/2ⁿ)

  In this series we have the initial value of the same, but we do not know the final value, although we know its behavior, we can say that this series has no end, it is an infinite serie.

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Answer:

About 1 and 1/4 chapters per day.

Step-by-step explanation:

There are 11 chapters, and eight days to read them. So we divide 11 by 8. 11/8 = 1.375, which is approximately 1 and 1/4.

The algebraic expression in simplest terms is 200 · x² - 79 · x + 14 = 0.

In this problem we have a sum of products of binomials as algebraic expression and we must reduce to its simplest terms by using algebra properties, that is, using these properties until a polynomial is found:

(- 10 · x + 2) + (- 9 · x + 8) · (- 10 · x + 2) + (- 9 · x + 8) · (- 10 · x + 2) + (- 9 · x + 8)

(- 10 · x + 2) + 2 · (- 9 · x + 8) · (- 10 · x + 2) + (- 9 · x + 8)

(- 10 · x + 2) · [1 + 2 · (- 10 · x + 2)] + (- 9 · x + 8)

(- 10 · x + 2) · (1 - 20 · x + 4) + (- 9 · x + 8)

(- 10 · x + 2) · (3 - 20 · x) + (- 9 · x + 8)

3 · (- 10 · x + 2)  + (- 20 · x) · (- 10 · x + 2) + (- 9 · x + 8)

- 30 · x + 6 + 200 · x² - 40 · x - 9 · x + 8

200 · x² - 79 · x + 14

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Answer:

Step-by-step explanation:

Solution for Point C is located on AB such that the ratio of AC : CB is 3:2. ... A: Here point B lies on the line AC with coordinates A(-3,4) and C(2,-6), ...

Answer:

13/15

Step-by-step explanation:

If we give all of these fractions a common denominator, this problem will be much easier. We see that a common denominator can be 15.

We can take 1/3 and multiply both the numerator and denominator by 5, getting 5/15. 7/15 already has a denominator of 15. Now if we multiply the numerator and denominator by 3, we get 9/15. Then we have 11/15.

Now the pattern is 5/15, 7/15, 9/15, 11/15. The numerator increases by 2 each time, so the next fraction should be 13/15.

Answer:

x=2.5

Step-by-step explanation:

R = 4x − 9y

We know that R=1 and y=1 so we can substitute that in

1=4x-9

Then solve as a normal algebraic equation

add 9 to both sides

10=4x

divide both sides by 4

2.5=x

Margo works 23 hour per week to earn approximately $300 per week .

It is given that Margo earns $13.50 per hour .

Using unitary method , we get

To get his weekly financial gain, we have a tendency to multiply his hourly wage by the quantity of hours he worked.

Pay = hourly rate × variety of hours worked

300 = 13.50 × number of hours worked

number of hours worked = 300 /13.50

                                           = 22.22

On rounding off , we get the hour = 23 hours

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The product of the two linear functions f(x) = x − 3 and g(x) = −2x + 4 is -2x² + 10x - 12

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the linear functions f(x) = x − 3 and g(x) = −2x + 4, hence:

(f.g)(x) is the product of the two functions:

(f . g)(x) = (x - 3)(-2x + 4)

(f . g)(x) = -2x² + 6x + 4x - 12 = -2x² + 10x - 12

The product of the two linear functions f(x) = x − 3 and g(x) = −2x + 4 is -2x² + 10x - 12

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Answer:

3rd option

Step-by-step explanation:

using the sine and cosine ratios for the 60° angle in the right triangle and the exact values.

cos60° = [tex]\frac{1}{2}[/tex] and sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = 12 ( divide both sides by 2 )

x = 6

and

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2y = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

y = 6[tex]\sqrt{3}[/tex]

Answer:

47002 :)

is how you write 47 thousand +2

Answer:

x=1

Step-by-step explanation:

Ok, this is a two step equation, so the first step you will do is get the regular numbers (-4 and -3) on one side of the equation, like this:

3/2x-4=1/2x-3

       +4        +4

3/2x=1/2x+1

Next, you need to get the variables on one side of the equation, so you will minus 1/2x like this.

3/2x=1/2x+1

-1/2x -1/2x

2/2x=1

Simplify

x=1

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{3}{2} x-4 = \frac{1}{2} x-3[/tex]

[tex]x - 4 = -3[/tex]

x = 1

Answer:

11 people

Step-by-step explanation:

14-8+5

6+5

11

The formula for nth term of the given sequence is [tex]T_{n+1} = T_{n} - 8[/tex].

According to the given question.

We have a sequence, 21,13,5,-3, .......

Since, the first term of the given sequence is 21.

The second term of the given sequence is 13.

Here we can see that, each term is less than 8 to the previous term. It means the common ratio of the given sequece is -8 and it is an arithmetic sequence.

Therefore, the formula for nth term of the given sequence is given by

[tex]T_{n+1} = T_{n} - 8[/tex]

Where, n is the number of term.

Hence,  the formula for nth term of the given sequence is [tex]T_{n+1} = T_{n} - 8[/tex].

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what scale factor did you find and is there a photo of the rectangle?

 The vertex, focus and directrix of the parabola y = x²/4 are:

  The parabola is a geometric shape that is formed from the intersection of a vertical plane in a cone.

  The parabola is a quadratic function, it is composed of a vertex, or inflection point, a focus and a directrix.

  In this case we have an expression given by:

x = y²/16

   We must find the canonical equation:

(y - 0)² = 16 (x - 0)

has the form

(y - k)² = 4p(x - h)

  This means that the vertex of this parabola is

v = (h, k)

v = (0,0)

  To know the focus we must know the value of "p".

f = (0 + 4, 0)

f = (4, 0)

d = y = 0 - 4

d = y = -4

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Answer:

3. Line q

4. Point B and Point A

5. Line DC or Line CD

6. Plane G

7. Line n, Line q, Line AB, Line BA, Line BE, Line EB

8. Line N, and Line Q

Step-by-step explanation:

No, If y² varies directly with x², it does not that mean y must vary directly with x

Let's say y² =  16 and x² =  4

Now if y²  =  16

Then y = 4 or -4  and same for x = 2 or -2

As the square root can be either negative or positive, if y² varies directly with x², it does not that mean y must vary directly with x .

To solve linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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So, from the question statement, we can conclude that the y and x axes are directly proportional. In order to  show it in the equation form, we can write,

Y=kx (directly proportional)

y=k x

The values that are given in the question are

y = 15

and,

x = 10

Now we will put these individual values in the above relation equation of x and y,

y=k x

15=10k

k=15/10

k=1.5

So, we found the unknown factor by putting the values of the available terms. Now in order to find the new value of y, when the new values of x are given and is,

x=22

We will simply modify the relation equation,

y=k x

By putting the known terms in the above equation,

x=22, k=1.5

y=1.5 * 22

y = 33.

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Answer:

what

Step-by-step explanation:

Answer: Slope: 3/2

Step-by-step explanation:

Coordinates: (1, -3), (3, 0)

Slope formula: m=(y2-y1)/(x2-x1)

m=(0-(-3))/(3-1)

m=(0+3)/2

m=3/2 ==> Slope: 3/2

Answer:

84.7

Step-by-step explanation:

first you multiply 3.85 x 25 =96.25 then you need to determin the percent of 12 which is 11.55 the lasly you subtract 96.25-11.55=84.7      btw 84.7 for bannas is a scam for real

According to the Centers for Disease Control and Prevention (CDC), the average shower lasts 8 minutes. If you like to linger in the shower for longer than 15 minutes, you might want to rethink your hygiene routine.

According to board-certified dermatologist Dr. Edidiong Kaminska, MD, the recommended maximum shower time is about 5 to 10 minutes. This is enough time to cleanse and hydrate the skin without overdoing it. “Our skin needs water, just like our bodies, but if we over- or under-do it, then it may have consequences,” she adds.

And if you have dry skin or eczema, Dr. Anna Guanche, MD, FAAD, says shorter, lukewarm showers are recommended. Moreover, the Baylor College of Medicine says it’s especially important to avoid hot showers in the wintery months since the heat can damage the surface of the skin, which can lead to inflammation and increase symptoms of eczema.

Side effects of long showers

While a long, hot shower might seem like the best way to pamper your body, over-showering may dehydrate the skin. “The purpose of showering is to hydrate and cleanse the skin, but warm or hot showering for prolonged periods strips away natural oils of the skin and opens up our pores and allows moisture to escape,” Kaminska says.

To keep moisture in, she usually recommends applying a body moisturizer after showering to the skin since it allows the water (hydration) to stay in the skin and not escape.

Answer:

well done...I hope it's helpful

-9, -10/32, 13/16, 79/8]

Step-by-step explanation:

use ur brain

Answer:

3760/4000(2 tons=4000pounds)

$0.94 is the answer

The range of values for the radius of the explosion circle is found to be 500-600 ft.

A circle is a shape founded by all locus in a plane at a fixed distance from its centre.

Now, according to the stated question;

Evaluate the circumference by the formula;

Formula: 2πr

Radius = 800 feet

Substitute the value in the formula;

C = 2πr

C = 2π800

C = 5026.54825 feet

Therefore, radius of the explosion circle will range from 500 to 600 feet.

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