Two large numbers of the Fibonacci sequence are F49=7,778,742,049 and f50=12,586,269,025. What is the approximate value of the quotient f50/f49?

The correct answer is  c. 2 [tex]\frac{1}{2}[/tex] hours

Explanation:

The graphic shows the relationship between the distance Erin covers by running and the time this requires. Additionally, to know the specific time that takes for Erin to run a specific distance or vice versa it is necessary to observe at which point the two variables intersect in the line of the graph.

According to this, Erin runs 25 miles (y-axis) in 2.5 hours (x-axis), which you can know because in the line shown by the graph the distance 25 miles that is in the middle of 20 and 30 miles intersects with 2.5 hours or the middle between 2 and 3. Additionally, this number can be expressed as 2 and a half hours, 2.5 or even 2 [tex]\frac{1}{2}[/tex] hours because the fraction represents half. This makes option C the answer.

Answer:

P = 0.2517

Step-by-step explanation:

In this case we must calculate the probability of event, which would be the number of specific events (that is, at least one woman and the rest men, 4), then it would be to choose 1 of 6 women by 4 of 9 men divided by the number of total events, which would be to choose 5 (committee size) out of 15 (9 men + 6 women, total number of people)

P (at least one woman) = 6C1 * 9C4 / 15C5

we know that nCr = n! / (r! * (n-r)!)

replacing we have:

6C1 = 6! / (1! * (6-1)!) = 6

9C4 = 9! / (4! * (9-4)!) = 126

15C5 = 15! / (5! * (15-5)!) = 3003

Therefore it would be:

P (at least one woman) = 6 * 126/3003

P = 0.2517

That is, approximately 1 out of 4 women.

Answer:

a = -1/2

b = 2

Step-by-step explanation:

Step 1: Rewrite 1st equation

-b = -5 - 6a

b = 5 + 6a

Step 2: Substitution

4a - 3(5 + 6a) = -8

Step 3: Solve

4a - 15 - 18a = -8

-14a - 15 = -8

-14a = 7

a = -1/2

Step 4: Plug in a to find b

6(-1/2) - b = -5

-3 - b = -5

-b = -2

b = 2

Sarah: School to mall = 21

           mall to library = 20

Total distance for Sarah = 20 + 21 = 41 miles.

Use the Pythagorean theorem to find the distance Bret traveled:

Distance = SQRT(21^2 + 20^2)

              = sqrt(441 + 400)

              = sqrt(841)

              = 29 miles

Total distance  = 41 + 29 = 70 miles

Answer is D. 70 miles.

Answer:

70

Step-by-step explanation:

i took the test

Answer:

C).

Step-by-step explanation:

In A and B  they  are making generalisations . Their deductions are not valid.

Answer:

x = -4/3, 2/3

Step-by-step explanation:

Step 1: Factor

(3x + 4)(3x - 2) = 0

Step 2: Find roots

3x + 4 = 0

3x = -4

x = -4/3

3x - 2 = 0

3x = 2

x = 2/3

Answer:

x₁ = -4/3

x₂ = 2/3

Step-by-step explanation:

9x² + 6x - 8 = 0

9x² + 12x - 6x - 8 = 0

3xx(3x + 4) - 6x - 8 = 0

3xx(3x + 4) - 2(3x + 4) = 0

(3x + 4) × (3x - 2) = 0

3x + 4 = 0 → x = -4/3

3x - 2 = 0 → x = 2/3

Hope this helps! :)

Answer:

Ratio of the first six months of the year to the year to the last six months of the year in simplest form = (153/200)

Step by step Explanation:

we are told to calculate the ratio of the first six months of the year but we know that the net income for the first six months of the years wa given as $76,500 also net income for the first six months of the years was given as $100,000

and we are told to calculate the ratio of the first six months of the year.

CHECK THE ATTACHMENT FOR DELTA LED EXPLANATION

A=4[tex]\pi -8[/tex]

that is your answer :-)

Answer:

[tex]A = 4\pi - 8[/tex]

Step-by-step explanation:

ody

Answer:

[tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\frac{x^{4}}{16} + \frac{3}{2} x^{3} y + \frac{27}{2} x^{2} y^{2} + 54 x y^{3} + 81 y^{4}$[/tex]

Step-by-step explanation:

[tex]$\left(\frac{1}{2}x+3y \right)^4=\left(\frac{x}{2}+3y \right)^4\\$[/tex]

Binomial Expansion Formula:

[tex]$(a+b)^n=\sum_{k=0}^n \binom{n}{k} a^{n-k} b^k$[/tex], also [tex]$\binom{n}{k}=\frac{n!}{(n-k)!k!}$[/tex]

We have to solve [tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\sum_{k=0}^{4} \binom{4}{k} \left(3 y\right)^{4-k} \left(\frac{x}{2}\right)^k$[/tex]

Now we should calculate for [tex]k=0, k=1, k=2, k=3 \text{ and } k =4;[/tex]

First, for [tex]k=0[/tex]

[tex]$\binom{4}{0} \left(3 y\right)^{4-0} \left(\frac{x}{2}\right)^{0}=\frac{4!}{(4-0)! 0!}\left(3 y\right)^{4} \left(\frac{x}{2}\right)^{0}=\frac{4!}{4!}(81y^4)\cdot 1 =81 y^{4}$[/tex]

It is the same procedure for the other:

For [tex]k=1[/tex]

[tex]$\binom{4}{1} \left(3 y\right)^{4-1} \left(\frac{x}{2}\right)^{1}=54 x y^{3}$[/tex]

For [tex]k=2[/tex]

[tex]$\binom{4}{2} \left(3 y\right)^{4-2} \left(\frac{x}{2}\right)^{2}=\frac{27}{2} x^{2} y^{2}$[/tex]

For [tex]k=3[/tex]

[tex]$\binom{4}{3} \left(3 y\right)^{4-3} \left(\frac{x}{2}\right)^{3}=\frac{3}{2} x^{3} y$[/tex]

For [tex]k=4[/tex]

[tex]$\binom{4}{4} \left(3 y\right)^{4-4} \left(\frac{x}{2}\right)^{4}=\frac{x^{4}}{16}$[/tex]

You can perform the calculations, I will not type everything.

The answer is the sum of elements calculated.

Just organizing:

[tex]$\left(\frac{x}{2} + 3 y\right)^{4}=\frac{x^{4}}{16} + \frac{3}{2} x^{3} y + \frac{27}{2} x^{2} y^{2} + 54 x y^{3} + 81 y^{4}$[/tex]

Answer:  [tex]\bold{\dfrac{1}{16}x^4 + \dfrac{3}{2}x^3y + \dfrac{27}{2}x^2y^2 +54xy^3+81y^4}[/tex]

Step-by-step explanation:

                     Binomial Tree

n=0                         1

n=1                      1      1

n=2                  1    2     1

n=3               1    3    3     1

n=4            1    4    6    4    1

Using the Binomial Theorem

[tex]\bigg(\dfrac{1}{2}x+3y\bigg)^4\\\\\\=1\bigg(\dfrac{1}{2}x\bigg)^4(3y)^0\quad \rightarrow \quad \dfrac{1}{16}x^4\\\\+4\bigg(\dfrac{1}{2}x\bigg)^3(3y)^1\quad \rightarrow \quad \dfrac{3}{2}x^3y\\\\+6\bigg(\dfrac{1}{2}x\bigg)^2(3y)^2\quad \rightarrow \quad \dfrac{27}{2}x^2y^2\\\\+4\bigg(\dfrac{1}{2}x\bigg)^1(3y)^3\quad \rightarrow \quad 54xy^3\\\\+1\bigg(\dfrac{1}{2}x\bigg)^0(3y)^4\quad \rightarrow \quad 81y^4[/tex]

______________________

[tex]= \dfrac{1}{16}x^4 + \dfrac{3}{2}x^3y + \dfrac{27}{2}x^2y^2 +54xy^3+81y^4[/tex]

Answer:

[tex]a = 3[/tex]

Step-by-step explanation:

[tex]3 {a}^{2} = 27 \\ \frac{3 {a}^{2} }{3} = \frac{27}{3} \\ {a}^{2} = 9 \\ a = \sqrt{9} \\ a = 3[/tex]

Answer: 9

Step-by-step explanation:

First divide both sides by 3

[tex]a^2=9[/tex]

Then root both sides([tex]\sqrt{a^2}=\sqrt{9}[/tex])

a = 9

Hope it helps <3

Edit: :o this is my 250th answer

Answer:

I think its A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The graph would be a curve because of the exponent.

Answer:

it will take 0.056025 seconds to complete

Step-by-step explanation:

Here, we want to know the amount of time it will take. the computer to sort 15 items.

What to do here is simply substitute the value of 15 for x

Thus, we have

t = 0.007(15)^2 + 0.003(15)

t = 0.011025 + 0.045

t = 0.056025

answer: 1.62

step-by-step explanation: apx :)

Answer:13

Step-by-step explanation:

Answer:

A. 12 for every 7 or 12:7

If the question had asked for ratio of peas in her hair to those in the bowl that would be 7 for every 12 or 7:12

Answer:

12:7

Step-by-step explanation:

A

Answer:

The answer is true......

Answer:

Equation: f(x) = -x² + 3

Step-by-step explanation:

If we want to find the roots/solve for x, we can either graph the problem or use quadratic formula to find when f(x) = 0:

To get the equation of the graph, our parent function is: f(x) = a(x - h)² + k, or f(x) = x². Since we are reflecting over the x-axis with a vertical stretch and vertically moving up to (0, 3), we are modifying a and k only.

Answer:

m = ½; b = 0

Please mark my answer as brainliest

the equation can be written y=mx+d.so

m=1/2 and d=3

Answer:

Las inecuaciones que pueden ayudar a calcular cuantos litros de pintura blanca se pueden tener como son [tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex].

Step-by-step explanation:

Esta situación puede ser descrita mediante una ecuación y una inecuación simultánea. La ecuación es de la capacidad del tanque, mientras que la inecuación es del coste unitario de la mezcla. Sean [tex]x[/tex] y [tex]y[/tex] las capacidades empleadas de pintura blanca y pintura azul en litros, entonces:

Capacidad del tanque (en litros)

[tex]x + y = 500\,L[/tex]

Coste unitario de la mezcla (en dólares por litro)

[tex]5\,\frac{USD}{L} < \frac{4\cdot x + 7\cdot y}{500} < 6\,\frac{USD}{L}[/tex]

Es decir:

[tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex]

Las inecuaciones que pueden ayudar a calcular cuantos litros de pintura blanca se pueden tener como son [tex]\frac{4\cdot x + 7\cdot y}{500}> 5\,\frac{USD}{L}[/tex] y [tex]\frac{4\cdot x + 7\cdot y}{500}< 6\,\frac{USD}{L}[/tex].

Answer:

[tex]\begin{center}\begin{tabular}{ c c c }Hours(h) & Total Cost(C) \\ 1 & 15 \\ 2 & 20 \\ 3 & 25 \\ 4 & 30 \\ 5 & 35 \end{tabular}\end{center}[/tex]

Step-by-step explanation:

Given that:

Kevin charges $10 plus $5 per hours

C = 5h + 10

To find:

The table of values for hours worked from 1 to 5.

Solution:

First of all, let us put h = 1 in the given equation:

C = 5 \times 1 + 10

C = 5 + 10 = $15

Now, let us put h = 2 in the given equation:

C = 5 \times 2 + 10

C = 10 + 10 = $20

Now, let us put h = 3 in the given equation:

C = 5 \times 3 + 10

C = 15 + 10 = $25

Now, let us put h = 4 in the given equation:

C = 5 \times 4 + 10

C = 20 + 10 = $30

Now, let us put h = 5 in the given equation:

C = 5 \times 5 + 10

C = 25 + 10 = $35

So, the table becomes each row incrementing h by 1:

[tex]\begin{center}\begin{tabular}{ c c c }Hours(h) & Total Cost(C) \\ 1 & 15 \\ 2 & 20 \\ 3 & 25 \\ 4 & 30 \\ 5 & 35 \end{tabular}\end{center}[/tex]

Answer:

X=1

Step-by-step explanation:

12x-14=-2

    +14 +14

12x=12

x=1

Answer:

x = 1

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS. PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 14 to both sides:

12x - 14 = -2

12x - 14 (+14) = -2 (+14)

12x = -2 + 14

12x = 12

Next, divide 12 from both sides:

(12x)/12 = (12)/12

x = 12/12

x = 1

x = 1 is your answer.

~

Answer:

That is true, but there is no question being asked.

Answer:

Step-by-step explanation:divide both sides by the coefficient of x that is the number beside x and in inequality, when dividing with a negative sign the sign would change to its opposite sign.

-6<-2x

-6/-2>-2x/-2

3>x

X<3 this is the answer.

Answer: 30 years

Step-by-step explanation:

From the question, we are told that the mean age of 10 women in an office is 30 years old. This means that the total ages of the women in the office will be:

= 10 × 30 years

= 300 years

Also, the mean age of 10 men in an office is 29 years old. This means that the total ages of the men in the office will be:

= 10 × 29 years

= 290 years

Since there are 10 men and 10 women in the office, the number of people in the office is: 10 + 10 = 20 people. Also, the total ages will be: 300 + 290 = 590 years.

The mean age (nearest year) of all the people in the office will then be:

= 590/20

= 29.5 years

= 30 years approximately

Answer:

I think it is either 85 or 51 because the question was not specific

Step-by-step explanation:

I am not entirely sure if you mean Jose changed jobs or added a new job on top but i will do both.

34/2=17

17+34=51

OR

51+34=85

Answer:

51 miles.

Step-by-step explanation:

That would be 34 * 1 1/2

= 34 * 3/2

= 17 * 3

= 51 miles.

Set up a ratio of height over shadow length:

3.2/1.29 = X/39.25

Cross multiply:

1.29x = 3.2 * 39.25

Simplify:

1.29x = 125.6

Divide both sides by 1.29:

x = 97.364 meters

Round to the nearest meter = 97 meters

2.3%

divide the infected number by the deaths. Then move the decimal points to the left.

Answer:

2.3%

divide the infected number by the deaths. Then move the decimal points to the left.

Step-by-step explanation:

Answer:

Step-by-step explanation:

A square has equal sides. Let x represent the length of each side of the square carpet. The diagram representing the room and the carpet is shown in the attached photo. Therefore, the length of the room would be (x + 2)m while the width of the room would be (x + 1)m

Since the area of the room is 56m², it means that

(x + 2)(x + 1) = 56

x² + x + 2x + 2 = 56

x² + 3x + 2 - 56 = 0

x² + 3x - 54 = 0

x² + 9x - 6x - 54 = 0

x(x + 9) - 6(x + 9) = 0

x - 6 = 0 or x + 9 = 0

x = 6 or x = - 9

Since the dimension of the carpet cannot be negative, then x = 6

The dimension of the carpet is 6m × 6m

Answer:

The answer is 13

Step-by-step explanation:

You'll say what will you multiply by itself to give you 169.

It will be 13 times itself and it will be =169.