What is the common ratio of the Fibonacci sequence called

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

3 = (1 × x₂ + 2 × 5)/(2 + 1)

3 = (x₂ + 10)/3

multiplying through by 3, we have

9 = x₂ + 10

x₂ = 9 - 10

x₂ = -1

y = (my₂ + ny₁)/(m + n)

10 = (1 × y₂ + 2 × 16)/(2 + 1)

10 = (x₂ + 32)/3

multiplying through by 3, we have

30 = y₂ + 32

y₂ = 30 - 32

y₂ = -2

So, the coordinates of B are (-1, -2)

Answer:

5u - 23

Step-by-step explanation:

Answer:

4( 2u - 2) - 3(u + 5)​

(4*2u + 4*-2)-(3*u + 3*5)

8u-8-3u+15

8u-3u-8+15

5u+7

Step-by-step explanation:

I hope this helped you.

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We can use the points (-4, 0) and (0, 2) to solve.

Slope formula: y2-y1/x2-x1

2-0/0-(-4)

2/4

1/2

Best of Luck!

Answer: Distance = 15km ; Displacement ≅ 11'2km

Step-by-step explanation:

In Physics when we speak of distance we refer to the space traveled that is always measured on the trajectory, while displacement refers to the space from an initial position to a final position regardless of the path. When the path is a straight line, the space traveled is equal to the module of the displacement.

Distance: 5km + 5km + 5km = 15km (Red lines)

Displacement² : (10km)² + (5km)² = 100km² + 25km² = 125km²

Displacement : √125km² ≅ 11'2km  (Blue line)

Answer:

Exact form: [tex]9 \frac{41}{51}[/tex]

Decimal form: [tex]9.80392156[/tex]

Step-by-step explanation:

[tex]41\frac{2}{3}[/tex] ÷ [tex]4\frac{1}{4}[/tex]

Let's put everything into a fraction.

[tex]\frac{41\frac{2}{3} }{4\frac{1}{4} }[/tex]

Now we have an answer.

Exact form: [tex]9\frac{41}{51}[/tex]

Decimal form: [tex]9.80392156[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

[tex]5=\frac{z}{4}-3[/tex]

[tex]\frac{z}{4}-3=5[/tex]

[tex]\frac{z}{4}=5+3[/tex]

[tex]\frac{z}{4}=8[/tex]

[tex]z=8\cdot \:4[/tex]

[tex]z=32[/tex]

Answer:

x = -8

Step-by-step explanation:

[tex]6(x - 1) = 9(x + 2)[/tex]

Expand :

[tex]6(x - 1) = 6x - 6 \\ 9(x + 2) = 9x + 18[/tex]

[tex]6x - 6 = 9x + 18[/tex]

Collect like terms and simplify

[tex]6x - 9x = 18 + 6 \\ - 3x = 24[/tex]

Divide both sides of the equation by -3

[tex] \frac{ - 3x}{ - 3} = \frac{24}{ - 3} \\ x = - 8[/tex]

Answer:

Step-by-step explanation:

6x - 6 = 9x + 18

-3x - 6 = 18

-3x = 24

x = -8 is the solution

Answer:

D. It is a decimal that terminates after 3 decimal places

I hope this helps!

Answer: 32÷8=4

Please brainliest

Answer:

P ($)=70-5(t)

Where p = price at t days

t = number of days

Step-by-step explanation:

The product price initially = $70

Now, every day , it reduces $5

The rate=$5 per day reduction

The price in the days will be determined by the formula below

P ($)=70-5(t)

Where p = price at t days

t = number of days

So let's assume it's on the second day

The price after the second day

P($) = 70-5(2)

P($) = 70-10

P($)= $60

The price after two days will be reduced to $60

Answer:

D. 30.5

Step-by-step explanation:

Given that A, B, C, D, and E are collinear,

AE = 38,

BD = 15, since segment BC = CD = DE, therefore

BD = ⅔ of BE

15 = ⅔*BE (substitution)

Solve for BE

Multiply each side by 3

15*3 = ⅔*BE*3

45 = 2*BE

Divide both sides by 2

45/2 = BE

22.5 = BE

BE = 22.5

Find AB:

AB + BE = AE (segment addition postulate)

AB + 22.5 = 38 (Substitution)

AB = 38 - 22.5 (Subtracting 22.5 from each side)

AB = 15.5

Find length of segment AD:

AB + BD = AD (segment addition postulate)

15.5 + 15 = AD (Substitution)

30.5 = AD

AD = 30.5

Answer: False

Natural numbers are not closed under division

Some natural numbers divide to get another natural number. For example, divide 10 over 2 to get 10/2 = 5.

However, there are infinitely many natural numbers that divide to get something that isn't a natural number. Example: 10/7 = 1.43 approximately. All we need is one counterexample to contradict the original statement.

A set is considered closed under division if dividing any two values in that set leads to another value in the set. More formally, if a & b are in some set then a/b must also be in the same set for that set to be closed under division.

If we changed "natural numbers" to "rational numbers", then that set is closed under division. If p, q are rational numbers then p/q is also rational. Basically, dividing any two fraction leads to some other fraction. The value of q cannot be zero.

Step-by-step explanation:

r+4r=24+1

5r=25

r=25/5

r=5

Answer:

r = 5

Step-by-step explanation:

r + 4r - 1 = 24

r + 4r = 25

5r = 25

r = 5

Answer:

Area of drawing= 0.315 m²

Step-by-step explanation:

Base = 6m

Height = 4.2 m

Area = height* base

Area= 4.2*6

Area= 25.2 m²

The scale is 10 cm on the drawing for every 8 meters on the sculpture.

Which is 10 cm to 800 cm

Or

0.1m to 8m

Arra of sculpture= 25.2 m²

area of drawing= (25.2*0.1)/8

Area of drawing= 0.315 m²

l=3w

3w(4)=48

12w=48

w=4

l=12

hope it helps

comment if u have any questions

Answer:

Length is 18; width is 6.

Step-by-step explanation:

The formula for the perimeter of a rectangle is:

[tex]P=2l+2w[/tex]

We are given that the perimeter is 48 feet. We are also told that the length is 3 times the width. In other words:

[tex]l=3w[/tex]

So, substitute this for l and 48 for P. Thus:

[tex]48=2(3w)+2w[/tex]

Distribute:

[tex]48=6w+2w[/tex]

Combine like terms:

[tex]48=8w[/tex]

Divide both sides by 8:

[tex]w=6[/tex]

So, the width is 6.

The length as we know is 3 times the width, so the length is 3(6) is 18.

And we are done!

Answer:

i think is the second one

Step-by-step explanation:

Answer:

31536000

Step-by-step explanation:

365 days x 24 hours x 60 minutes x 60 seconds = 31536000

Answer:

28 (0,2,4,14,28)

34 (0,2,17,34)

42 (0,2,6,7,21,42)

the greatest common factor is 2 because it's the greatest number that can be divided by 28, 34 and 42

Answer:

modulus of  |9+40i|  is 41

Step-by-step explanation:

Let z = 9+40i

then

|z| = [tex]\sqrt{9^{2}+40^{2} }[/tex]

   = [tex]\sqrt{81+1600}[/tex]

   = [tex]\sqrt{1681}[/tex]

   = 41

|z| = 41

Answer:

Step-by-step explanation:

1. |9+40i| = 41

2. |-10+24i| = 26

Answer:

yes totally

Step-by-step explanation:

5a+5b=5a+5b

Step-by-step explanation:

A straight line graph is of the form:

y = mx+b

So we get our equation in this form:

9=2x+3y

or, 9-2x=3y

or, -2x+9 = 3y

or, y= (-2x+9)/3

or, y = -2/3x + 3

So,

Slope(m)=−2/3

y-intercept (b) = 3

Therefore, slope(m) is -2/3x and y-intercept(b) is 3.

If there are 3 cups of strawberries per 6 liters of smoothie, that means that there is [tex]\frac{1}{2}[/tex] cups of strawberries per liter of smoothie.

[tex]\frac{3}{6}=\frac{1}{2}[/tex]

Hope this helps.

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Answer:

x>18

Step-by-step explanation:

The sample space for first tossing a coin and then rolling a number cube is (T, 2).

An outcome is a possible result of an experiment or trial in probability theory. Each experiment's possible outcomes are distinct, and alternative outcomes are mutually exclusive (only one outcome will occur on each trial of the experiment).

As, the outcomes for tossing a coin is Head (H) and Tail (T).

and, the outcome for rolling a die

{1, 2, 3, 4, 5, 6}.

So, the sample space for first tossing a coin and then rolling a number cube

= ( T, 2)

Learn more about Outcome of Probability here:

https://brainly.com/question/30661698

#SPJ5

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

N(t) is continuous at t = 6, so f(6) = 25(6) + 150 = 300.

f(0) = 80.

f(t) is continuous, so by Intermediate Value Theorem, f(t) must equal 250 at some point between t=0 and t=6.

Answer:

200 is the maximum amount

Step-by-step explanation:

94x100=9400

9400/47=200

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