Which of these describes how to use the number

phi to find a term in the Fibonacci sequence?


A-Divide the term Fn-1 by the value of phi to find

the value of the term Fn

B-Multiply the term Fn-1 by the value of phi to

find the value of the term Fn:

C-Subtract the value of phi from the term Fn-1.

This will give you the value of Fn

D- sum the previous two terms and then multiply

the sum by phi. This will give you the term Fn

Answer:

720

Step-by-step explanation:

You move the decimal point twice to the right because 100 has two zeros. But if it was 7.20÷100 it would be 0.072 because you move the point to the left.

Rhombus can have harmonious diagonals provided that this is true we talk about the square unique instance of rhombus which additionally has four equivalent length sides and its diagonals are opposite and divide each other with respect to a square shape rhombus doesn't constantly need to be a square shape since it doesn't must have 4 right points

Answer: B

Step-by-step explanation:

Answer:

B) 9/3 * 2/3

Step-by-step explanation:

B is correct since 9/3 * 2/3 = 18/9 = 2

If you check the other answer choices, they will not be between 2 and 3

Answer:

About 63,617 ft²

Step-by-step explanation:

[] The area of a circle is equal to πr²

π(225)² ≈ 159,043

[] To find 40%, we can multiply our whole by 40%

-> 40% divided by 100, 0.4, becomes a decimal

159,043 * 0.4 = 63,617

-> Don't forget to add on the units once you are done, this problem was done in feet, since it is an area we used feet squared

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

[tex] \text{Given a,b,c and d are in GP}[/tex]

[tex] \therefore \frac{b}{a} = \frac{ c}{b} = \frac{d}{c} = r \\ \\ \implies b = ar ,c = br,d = cr \implies \: b = ar,c = (ar)r,d = (br)r \\ \\ \implies b = ar,c = a {r}^{2} ,d = {br}^{2} \implies b = ar,c = {ar}^{2} ,d = (ar)r {}^{2} = a {r}^{3} ...(i)[/tex]

[tex] \text{Now, Consider}[/tex]

[tex]( {a}^{2} + {b}^{2} + {c}^{2} )( {b}^{2} + {c}^{2} + {d}^{2} ) = ( {a}^{2} + {a}^{2} {r}^{2} + ( {a}^{2} {r}^{4} )( {a}^{2} {r}^{2} + {a}^{2} r {}^{2} + {a}^{2} {r}^{4} + {a}^{2} {r}^{6} )[/tex]

[tex] = {a}^{2} (1 + {r}^{2} + {r}^{4} ) {a}^{2} {r}^{2} (1 + {r}^{2} + {r}^{4} ) = a {}^{4} {r}^{2} (1 + {r}^{2} + {r}^{4} ) {}^{2} = [a {}^{2}r(1 + {r}^{2} + {r}^{4}) ] {}^{2} [/tex]

[tex] = ( {a}^{2} r + {a}^{2} {r}^{3} + {a}^{2} r {}^{5} ) {}^{2} = (a. \: ar + ar. \: a {r}^{2} + a {r}^{2} .a {r}^{3} ) {}^{2} [/tex]

[tex] = (ab + bc + cd) {}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \text{[From Equation (i)]}[/tex]

Hope This Helps!!! :)

The given polynomial can be rewritten as factors of the common ratio of

the geometric progression.

Response:

If a, b, c, d are in GP, (a² + b² + c²) × (b² + c² + d²) = [tex]\underline{(a\cdot b + b \cdot c + c\cdot d)^2}[/tex]

The assumed parameters are;

a, b, c, and d for a geometric sequence

Therefore;

[tex]\mathbf{\dfrac{b}{a}} = \dfrac{c}{b} = \dfrac{d}{c} = r[/tex]

Which gives;

b = a·r

c = b·r

d = c·r

Therefore;

c = b·r = a·r²

d = c·r = a·r³

(a² + b² + c²) × (b² + c² + d²) = (a² + (a·r)² + (a·r²)²) × ((a·r)² + (a·r²)² + (a·r³)²)

(a² + a²·r² + a²·r⁴) × ((a²·r²) + (a²·r⁴) + a²·r⁶) = a⁴·r²·(r⁸ + 2·r⁶ + 3·r⁴ + 2·r² + 1)

Which gives;

a⁴·r²·(r⁸ + 2·r⁶ + 3·r⁴ + 2·r² + 1) = a²·r·(r⁴ + r² + 1) × a²·r·(r⁴ + r² + 1)

a²·r·(r⁴ + r² + 1) × a²·r·(r⁴ + r² + 1) = (a²·r·(r⁴ + r² + 1))²

a²·r·(r⁴ + r² + 1) = a²·r⁵ + a²·r³ + a²·r

a²·r = a·b

a²·r³ = b·c

a²·r⁵ = c·d

Therefore;

a²·r⁵ + a²·r³ + a²·r = a·b + b·c + c·d

(a² + b² + c²) × (b² + c² + d²) = (a²·r·(r⁴ + r² + 1))² = [tex]\underline{(a\cdot b + b \cdot c + c\cdot d)^2}[/tex]

Learn more about geometric progression (GP.) here:

https://brainly.com/question/140530

Product of polynomials can be done by distribution of multiplication over addition. The product of  [tex](2x - 3)(2x^2 + 7x - 1)[/tex] is [tex]4x^3 + 8x^2 -23x + 3[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

[tex](2x - 3)(2x^2 + 7x - 1) = 2x(2x^2 + 7x - 1) -3(2x^2 + 7x - 1) \\(2x - 3)(2x^2 + 7x - 1) = 4x^{1+2} + 14x^2 -2x - 6x^2 - 21x + 3\\(2x - 3)(2x^2 + 7x - 1) = 4x^3 + (14 -6)x^2 + (-2 -21)x + 3\\(2x - 3)(2x^2 + 7x - 1) = 4x^3 + 8x^2 -23x + 3[/tex]

It is because when bases are same and there is multiplication, then powers add up, so we have: [tex]a^b \times a^c = a^{b+c}[/tex]

Also, we've

[tex](-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve[/tex]

where -ve, +ve are sign of operands and result.

That's why [tex]2 \times -1 = -2[/tex]

Thus,

The product of   [tex](2x - 3)(2x^2 + 7x - 1)[/tex]  is [tex]4x^3 + 8x^2 -23x + 3[/tex]

Learn more about product of polynomials here:

https://brainly.com/question/9106484

10k^3 , 6k^3

k^3 ( 10, 6 )

2k^3 (5, 3)

so 2k^3 is the greatest common factor of both the numbers .

Answer:

greatest common factor: 2k³

Step-by-step explanation:

given 10k³ and 6k³

for gcf just simply break them down:

10k³ = 2 * 5 * k * k * k

6k³ =  2 * 3 * k * k * k

-------------------------------------------------------------------------------------------------------------

Analyse both of them and find similarities:

the similarities are: 2 * k * k * k

so the greatest common factor is 2k³

Answer:

So for number 1 and 2

Step-by-step explanation:

Perimeter is = 2(L+W)

L=2w as it said on the problem above.

60=2 (2w+w)

60= 2 (3w)

60 = 6w

w= 10 , L=20 P=60

Area of rectangle = L x W

20 x 10 = 200

2)You would have twice as many hot dogs and 24 is two times 12 and if you add them you get 36.

Answer:

  9

Step-by-step explanation:

Ron can deliver 300t pounds of mulch in t trips. The number of trips needed to deliver at least 2700 pounds is ...

  300t ≥ 2700

  t ≥ 9 . . . . . . . . divide by 300

Ron needs to make at least 9 trips to deliver at least 2700 pounds of mulch.

Answer:

sorry for being late, here is the answers :)!

Answer:

2y-6=x >>> Y= 1/2x+3

-x+(1/2)y=3 >>> Y=2x+6

2x+y=3 >>> Y=-2x+3

x-3y=-6 >>> Y=(1/3)x+2

Step-by-step explanation:

Hope this helps! :)

Answer:

12.5%

Step-by-step explanation:

105 is what percent of 120?

you can use this proportion:

if/of = %/100

in this problem:

is = 105

of = 120

'what percent' = p/100

105/120 = p/100

cross-multiply to get:

120p = 10500

p = 10500/120

p = 87.5

So the electrician used 87.5%, out of 100%, meaning 12.5% went unused

Answer:

The percent of the wire that went unused was 15%.

Step-by-step explanation:

You can set up these equations:

Turn 15% into 0.15

12.5% into 0.125

8.75% into 0.0875

7% into 0.70

Now, the number of wire unused is 15. Since 120 - 105 = 15. So, we can set up these equations to see which percentage it was that got unused:

0.15 x 120 = 18

0.125 x 120 = 15

0.0875 x 120 = 10.5

0.70 x 120 = 84

So, the answer is 15%.

Answer:

(-4, 4)

(6, 2)

(0, -2)

(-∞, -4), (0, 6)

(-4, 0), (6, ∞)

Step-by-step explanation:

(-4, 4)

(6, 2)

(0, -2)

(-∞, -4), (0, 6)

(-4, 0), (6, ∞)

The amount left by Diana is percent part of total food cost. The 15% tip of $44 total cost given by Diana is : Option D: $6.60

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Since the total food cost was $44 and the tip was 15% of the total cost, thus,

[tex]\text{Tip amount} = \dfrac{44}{100} \times 15 = 6.6 \text{\:dollars}[/tex]

Thus,

The 15% tip of $44 total cost given by Diana is : Option D: $6.60

Learn more about percentage here:

https://brainly.com/question/11549320

Answer:

y= 2 x - 7/3

Step-by-step explanation:

Answer:

steps below

Step-by-step explanation:

volume of rock : 16 * 12 * 12 = 2304

height will take when it was threw into tank: 2304 / (32*24) = 3

Original water height + rock height: 12 + 3 = 15 cm

Answer:

it is 5 I belive

Step-by-step explanation:

Answer:

There are a few ways to solve systems of equations.

If you are looking at a multiple choice question use the ordered pair to plug into the answer choices and whichever one balances out will be your answer. To assist you further I would need more information from the problem.

Step-by-step explanation:

hope it will help you have a great day bye and Mark brainlist if the answer is correct

[tex]kai6417[/tex]

#carry on learning

well, we know the directrix is at y = 4 and the focus point is down below it at (-6 , -3), meaning is a downward opening vertical parabola, like the one you see in the picture below.

keeping in mind that the vertex is equidistant from the directrix and focus point by a distance "P", that puts this vertex at ( -6 , 1/2 ), and since the parabola is opening downwards, P is negative.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex][tex]\begin{cases} h=-6\\ k=\frac{1}{2}\\[1em] P=-\frac{7}{2} \end{cases}\implies 4\left( -\cfrac{7}{2} \right)\left(y-\cfrac{1}{2} \right)=[x-(-6)]^2 \\\\\\ -14\left(y-\cfrac{1}{2} \right)=(x+6)^2\implies y-\cfrac{1}{2}=-\cfrac{1}{14}(x+6)^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-\cfrac{1}{14}(x+6)^2+\cfrac{1}{2}~\hfill[/tex]

Answer:

2n³ - 3n² - 7n + 3

Step-by-step explanation:

Hi there! Don't worry, polynomials seem hard but you will get them with practice.

I am going to show you 2 methods of multiplying polynomials. These methods are universal, or they work with any polynomial multiplication problem:

This is perhaps the most common method. You distribute 1 value to another or multiply each and every single term.

Let's solve it!

Now, we add up like terms. Like terms should have the same coefficient and should be raised to the same power.

There you have it! This is how you solve with The distributive Property Method.

This is the next universal method, Area modeling.

Area models can be set up by the number of terms we have. In the first polynomial we have three terms:

Just for this method, keeping the positive signs helps.

For the binomial, we have two terms (hence, binomial)

We set up our are model like this, with the terms laid out as side lengths of a rectangle.  (Attachment "A")

Next, we find the area of each individual tile.  (Attachment "B")

Now, we add like terms. Something nice about area models is that most of the time, the like terms are matched up in a diagonal.  (Attachment "C")

We end up with the same answer as before.

-Chetan K

Answer: 20

Step-by-step explanation:

log 5x^3 - log x^2 = 2

log 5x = 2

5x = 100

x = 20

Answer:

x=20

Step-by-step explanation:

keep smiling

Answer:

-30.44

Step-by-step explanation:

50.54 - 20.10 = 30.44

Answer:

$752.69 + 12.5%=$753+$50=$803+ 3.35%=803.0335=

answer: c. $818.

Step-by-step explanation:

Answer:

⬇️ i got 100% on the test

Answer:

I believe the answer is B. 15/5 = n/12

Step-by-step explanation:

Once again same method as I've explained before. However, this one tricked me a little bit and still is because of the appearance of the smaller triangle. However, If I don't focus on that I believe this answer is correct. This is because in order to find the missing side we need to find the factor of which the triangle was expanded. So we must divide a given side of the bigger triangle by the same similar side of the little triangle, like 15/5. Then we must divide n by its similar side which the appearance made me think 13 which is not an option so I believe it is 12 and it was just trying to throw me off. So n/12. Therefore that is why I believe B is correct.

Answer:

S4, E17 (Judgement)

Step-by-step explanation:

Hope that helps!

Answer:

2^18

Step-by-step explanation:

Every true or false question can be either answered true / false (2 options)
So, there are 2.2.2.2.2... (2^18) ways to answer if a student answers every question.

Answer:

5 pounds

Step-by-step explanation:
$70 - $32.55 = 37.45
37.45 ÷ 7.49
= 5

Answer:

36, 44, 52

Step-by-step explanation: