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3 years ago

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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 t

he quotient ?

1 answer:

Lina20 [59]3 years ago

4 0

Two large numbers of the Fibonacci sequence are F49<span>= </span>7778742049 and F50=12586269025<span>.</span>

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The perimeter of a square is equal to the circumference of a circle with a radius of 10 cm.

marta [7]

Answer:

C = 2*3.14*10 = 62.8 cm = P of square

Area=1/16 * p2

=

246.49 cm2

3 0

4 years ago

The graph of the quadratic function y = ax^2 + bx + c is given.<br> Find a + b + c.

andrey2020 [161]

Answer:

$\frac{145}{24}\approx 6$ ***

Answers may vary depending on the person reading the graph.

It is hard to tell what they think crosses nicely.

For example, I decided that the graph crossed nicely at the following points:

$(0,3)$

$(2,8)$

$(6,5)$

Step-by-step explanation:

I see that the graph crosses at $(0,3)$ , $(2,8)$ , and $(6,5)$ .

The equation $y=ax^2+bx+c$ tells us the $y$ -intercept is $c$ since when $x=0$ we have $y=a(0)^2+b(0)+c=0+0+c=c$ .

The $y$ -intercept for our graph is $3$ . Therefore, $c=3$ .

So far we have the equation:

$y=ax^2+bx+3$ .

Let's enter the other points creating a system of linear equations to solve:

$8=a(2)^2+b(2)+3$

$5=a(6)^2+b(6)+3$

Let's simplify:

$8=4a+2b+3$

$5=36a+6b+3$

Let's subtract 3 on both sides:

$5=4a+2b$

$2=36a+6b$

I choose to solve the system by elimination.

Let's multiply the top equation by -3:

$-15=-12a-6b$

$2=36a+6b$

Now adding the equations results in:

$-13=24a$

Divide both sides by 24:

$\frac{-13}{24}=a$

Now using one of the equations we can find $b$ :

$5=4a+2b$ with $a=\frac{-13}{24}$

$5=4\frac{-13}{24}+2b$

$5=\frac{-13}{6}+2b$

Add 13/6 on both sides:

$5+\frac{13}{6}=2b$

$\frac{30+13}{6}=2b$

$\frac{43}{6}=2b$

Divide both sides by 2:

$\frac{43}{2(6)}=b$

$\frac{43}{12}=b$

So we have the equation:

$y=\frac{-13}{24}x^2+\frac{43}{12}+3$

Let's evaluate $a+b+c$ now:

$\frac{-13}{24}+\frac{43}{12}+3$

$\frac{-13+86+72}{24}$

$\frac{73+72}{24}$

$\frac{145}{24}$

4 0

4 years ago

At the amusement park, Laura paid $6.00 for a small cotton candy. Her older brother works at the park, and he told her they mark

Anastasy [175]

Sure it's possible... set up the problem by thinking 6 dollars is 300% of what number.

6 = 300% × x
6 = 3.00x
6/3 = x
2 = x

Before the markup the cotton candy costs $2.00

8 0

4 years ago

Helppppp, if you could show your work too that would be so amazing!!

astra-53 [7]

9514 1404 393

Answer:

x = 6

PM = 50

MQ = 50

PQ = 100

Step-by-step explanation:

The two halves of the segment are the same length:

PM = MQ

7x +8 = 5x +20

2x = 12 . . . . . . . . . subtract 5x+8

x = 6 . . . . . . . . . . . divide by 2

PM = 7(6)+8 = 42+8

PM = 50

MQ = 5(6) +20 = 30+20

MQ = 50

PQ = PM +MQ = 50 +50

PQ = 100

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3 years ago

Elisa has a DVD collection. She has 10 horror movies, 20 comedies and 15 action movies. If she picks one at random to watch, wha

Triss [41]

The probability of picking an action movie is 1/3

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4 years ago