If the first three Fibonacci nos. are x1=1, x2=1 and x3=2, what is the least value of n for which xn>60?

Answers

Answer 1

Answer:

  11

Step-by-step explanation:

The first 12 terms of the sequence are ...

  1 1 2 3  5 8 13 21  34 55 89 144

The first term that is greater than 60 is the 11th term, 89.

  n = 11


Related Questions

Describe how to graph point K at (5, 4) the steps

Answers

Answer:

here is ur answer

Find an
angle 0 coterminal to 701°, where 0°

Answers

Answer:

341°-19°

Step-by-step explanation:

Subtracting 360°, you get ...

  701° -360° = 341°

Subtracting 360° again, you get ...

  341° -360° = -19°

Angles 341° and -19° are coterminal with 701°.

_____

Additional comment

You can find additional angles by adding or subtracting multiples of 360°. We presume you require an angle in a specific range. Hopefully this gives you enough information to help you find the angle you're looking for.

2. Which equation has no solution? *
1 poir
O x-5(x + 4) = 2(2x + 7) + 6
O 5(x + 1) - 3x = 5 - 2(5 - x)
O 1 - 3(x + 3) = 2(3x – 4) - 9x
O 3(x - 4) + x = 4(3 - x)

Answers

Answer:

5(x+1) - 3x = 5 - 2(5-x)

Step-by-step explanation:

This has no solution. Explanation:

5(x+1) - 3x = 5 - 2(5-x)

5x + 5 - 3x = 5 -10 + 2x

2x + 5 = -5 + 2x

5 = -5

From the result above, clearly there is no x to satisfy the equation, because 5 (to the left) can never be the same as -5 (to the right).

Simplify 3 + 5(x - 4)

Answers

Answer:

5x - 17

Step-by-step explanation:

3 + 5x - 20

= 5x - 17

What if f(x)=(1/7)(7x), what is f(3)

Answers

Answer:

  3

Step-by-step explanation:

f(x) = (1/7)(7x) can be simplified to ...

f(x) = x

Then for x=3, ...

  f(3) = 3

A TV station is going to air a movie marathon with 8 movies. It will consist of 2 science fiction movies and 6 horror movies. The horror movies will be aired later in the evening. So, all of the horror movies will be aired last (after both of the science fiction movies). In how many ways can the station air the movie marathon?

Answers

Answer:

Total ways to run movies = 1,440

Step-by-step explanation:

Given:

Number of total movies = 8

Number of science fiction movie = 2

Number of horror fiction movie = 6

Find:

Total ways to run movies.

Computation:

Number of science fiction movies way air = 2!

Number of science fiction movies way air = 2×1

Number of science fiction movies way air = 2

Number of horror fiction movies way air = 6!

Number of science fiction movies way air = 6×5×4×3×2×1

Number of science fiction movies way air = 720

Total ways to run movies = 2 × 720

Total ways to run movies = 1,440

1/3 of 3 feet equals how many inches

Answers

Answer:

12 inches

Step-by-step explanation:

1/3 of 3 feet = 1 foot

12 inches make 1 foot

so the answer is 12

The number of inches in 1/3 of 3 feet will be 12 inches.

What is the length?

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

1/3 of 3 feet

Then the number of feet is given as,

⇒ (1/3) x 3

⇒ 1 foot

We know that in 1 foot, there are 12 inches. Then we have

⇒ 1 x 12 inches

⇒ 12 inches

The number of inches in 1/3 of 3 feet will be 12 inches.

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There are 12 inches in 1 foot. Write 75 inches in feet and inches

Answers

84/12 is 7 so it’s 7 feet and to find out how many inches, you have to subtract 84-75 which is 9 that that’s 9 inches

7 feet and 9 inches

Answer:6.25

Step-by-step explanation:

here is another question

Answers

Answer:

55

Step-by-step explanation:

90-35

Answer:

x is 55°

Step-by-step explanation:

The angle measurement of 35° & x° is 90 and you can tell by the angle being a square.

To find x:

90-35=x

x=55°

Given: m∠APC = 27°, m DC = 27° Find: m AB

Answers

Answer:

The unknown angle = 126°

Step-by-step explanation:

From angles in a triangle.

The total sum of angles in a triangle = 180°

Let the unknown angle be x

27 + 27 + x = 180

X = 180-27-27

X= 180-54

X = 126°

Answer: 81°

Step-by-step explanation:

m<p is a secant exterior angle which equals arcAB-arcDC divided by 2.

plug the numbers in and arcAB-27 / 2 =54 Arc AB is 27+54=81 degrees

What is 10,000 steps in feet

Answers

Answer: 10,000 steps is 5 miles aka 2,000 feet

Step-by-step explanation:

i pretty sure it would be 26,400 feet

I really just need a simple STEP-BY-STEP explanation on how you do percentages.

Answers

Can you please elaborate on what kind of percentages?

What is the slope of a line that is parallel to the line
represented by the equation y- 4x = 1?

Answers

Answer:

m=4

Step-by-step explanation:

First get the equation in slope intercept form

y -4x =1

Add 4x to each side

y - 4x+4x = 4x+1

y = 4x+1

This is in the form

y = mx+b where m is the slope and b is the y intercept

The slope is 4

Parallel lines have the same slope

m =4

Assume the average weight of an American adult male is 180 pounds with a standard deviation of 34 pounds. The distribution of weights follows a normal distribution. What is the probability that a man weighs somewhere between 120 and 155 pounds?

Answers

Answer:

Step-by-step explanation:

Find a-score of both

z-score = (x-mean)/SD

for 120

z =( 120- 180)/34 = -1.765

For 155

z = (155-180)/34 = -0.735

The probability to look for using z-score table is;

P(-1.765<z<-0.735) = 0.19239

There are 20 peoples in a singing group. The mean age of 12 of the members is 18years. The mean age of the remaining 8 is 23 years. What is the mean age of the 20 members of the singing group?​

Answers

Answer:

  20

Step-by-step explanation:

The sum of the ages of the first 12 is ...

  12×18 = 216

The sum of the ages of the remaining 8 is ...

  8×23 = 184

So, the sum of ages of all 20 people is ...

  216 +184 = 400

and their average age is ...

  400/20 = 20

The mean age of the members of the group is 20.

_____

The mean of a data set is the total of the values, divided by the number of values.

Subtract fifteen and eighty-eight ten-thousandths from thirty-six. Express your answer in numerical and word form.

Answers

Answer:

20 and nine thousand nine hundred and twelve ten thousandth

Step-by-step explanation:

fifteen and eighty-eight ten thousandth =15 88/10000

Thirty six=36

36 - 15 88/10000

36 - 150088/10000

(36x10000 - 150088)/10000

(360000 - 150088)/10000

209912/10000=20 9912/10000

20 and nine thousand,nine hundred and twelve ten thousandth

The value of the expression [36 - (15 + 88 / 10,000)] is 20.9912.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Subtract fifteen and eighty-eight ten-thousandths from thirty-six. Then the expression is given as,

⇒ 36 - (15 + 88 / 10,000)

The value of the expression is calculated as,

⇒ 36 - (15 + 88 / 10,000)

⇒ 36 - (150,088/10,000)

⇒ (360,000 - 150,088) / 10,000

⇒ 209,912 / 10,000

⇒ 20.9912

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arc length of a half of a circle with radius of 9

Answers

Answer:28.26

Step-by-step explanation:

Φ=180 since it's in a straight line

Radius=r=9

π=3.14

Length of arc=Φ/360 x 2 x π x r

Length of arc=180/360 x 2 x 3.14 x 9

Length of arc=0.5 x 2 x 3.14 x 9

Length of arc=28.26

The sum of 5 consecutive integers is 70 what are the numbers

Answers

Answer:

12, 13, 14, 15, 16

Step-by-step explanation:

Let the five consecutive integers be (x - 2), (x - 1), x, (x + 1) & (x + 2)

According to the given condition:

[tex](x - 2) + (x - 1) + x + (x + 1) + (x + 2) = 70 \\ 5x = 70 \\ x = \frac{70}{5} \\ x = 14 \\ \implies \\ (x - 2) = (14 - 2) = 12 \\ (x - 1) = (14 - 1) = 13 \\ x = 14 \\ (x + 1) = (14 + 1) = 15 \\ (x + 2) = (14 + 2) = 16\\ [/tex]

Solve for a given 2e^a =4b

Answers

Answer:

a = ln (2b)

Step-by-step explanation:

2e^a =4b

Divide each side by 2

2/2 e^a =4/2b

e^a = 2b

Take the natural log of each side

ln(e^a) = ln(2b)

a = ln (2b)

20 POINTS What is the area of this triangle?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

_____ ft²

Answers

Answer:

46.1

Step-by-step explanation:

Mark BRAINLIEST

Answer:

Hello! The correct answer is 2.95 [tex]ft^{2}[/tex]

A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters, find the area of the pen?

Answers

Answer:

Area=LW=(60m)(40m)=2400 m^2

Step-by-step explanation:

The area of the rectangular pen is 2400 square meters.

What are the area and parameters of a rectangle?

The region that a rectangle occupies in a two-dimensional space is referred to as the area of a rectangle. The quantity of square units required to entirely fill a rectangle is another way to describe its area. The whole distance encircling a rectangle's outside is referred to as its perimeter.

Given, A rectangular animal pen will be built using 200 meters of fencing. If one side of the fence is 60 meters. Hence,

Parameter of rectangle = 200

2(length + width ) = 200

given length of the pen is 60 meters

2(60 + width) = 200

width = 100- 60 = 40

Area of the rectangle = length * width = 60* 40 = 2400

Therefore, 2400 square meters will be the area of the given rectangular pen.

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Sara created the poster shown below what would be the dimensions of the poster at 1/4 times it’s current size?
The width is 32 cm and the length is 28 cm

Answers

Answer:

Width: 8cm Length: 7cm

Step-by-step explanation:

Answer:

Length = 7cm, width = 8cm

Step-by-step explanation:

Divide 32 and 28 by 4

Find the length of the missing side. Round to the nearest whole number. Hypotenuse of 25 long leg of 24

Answers

Answer:

7

Step-by-step explanation:

Use pythagorean thereom:

24^2+x^2=25^2

x^2=49

x=7

So, the missing side is 7.

Answer:7

Step-by-step explanation:

hypotenuse =25

The long leg =24

Let the missing side be B

B=√(25^2-24^2)

B=√(25x25-24x24)

B=√(625-576)

B=√(49)

B=7

Children in 50 Households
Number of Children Number of
Households
0
5
1
11
2
13
3
10
4
9
5
2
Using a proportion, what can you infer about the number of households in her town that have more than thre
About 242 households have more than three children.
About 269 households have more than three children.
About 296 households have more than three children.
About 565 households have more than three children.

Answers

Answer:I think it’s 269 because when you do 1,350 divided by 50 it’s 27 then you add 9+2 to get 11/50 then you do 27x11 which gives you 270 and the closest answer to that is 269

Step-by-step explanation:

Answer:

About 296 households have more than three children.

Step-by-step explanation:

I got it right on edge

Tyson wants to buy some juice pouches. He has four options to choose from.

Which option has the lowest cost per pouch?

O A 8 pouches for $2.04

O B 10 pouches for $2.69

O C 12 pouches for $2.80

O D 16 pouches for $3.80

Answers

Answer: C.  12 pouches for $2.80

Explanation:

x = number of pouches

y = cost for having x number of pouches

To find the unit cost, divide y over x

For choices A through D we have the following unit costs

y/x = 2.04/8 = 0.255y/x = 2.69/10 = 0.269y/x = 2.80/12 = 0.233 (approximately)y/x = 3.80/16 = 0.2375

We see that 0.233 is the lowest unit cost, so therefore, Choice C is the lowest cost per pouch.

What is the next term of the arithmetic sequence?
-2,3, 8, 13, 18,

Answers

Answer:

23

Step-by-step explanation:

difference between number is 5

5n-7 to get to next term

Find the missing value:
2 : x = 6 : 15
nts

Answers

Answer:

x = 5

Step-by-step explanation:

2 : x       6 : 15

Divide the second by 3

           6/3: 15/3

               2:5

x = 5

2:x is the simplified version of 6:15.

So, we can divide to find the value of x.

6/3:15/3

2:5

Therefore, the value of x is 5.

Bes of Luck!

Will mark brianliest if correct,

If Oliver paid $22,how many times did he ride the Ferris wheel?

Math

If u need more information please tell me. Look at the picture

Answers

Answer:

11 times

Step-by-step explanation:

So if you look at the point where the line is on two real numbers at the top of the grid, it shows that it cost $10 for every 5 rides. So if you find the unit rate, divide 10 by 5 to see how much each ride cost, you get that each ride cost $2. Then just divide $22 by $2 and you get 11. Hope this helps, comment if you need more help

can someone assist me on this​

Answers

Answer:

The perimeter of the triangle would be 21.2. The area would be 18 ft^2

Step-by-step explanation:

Hope this helps :)

Attached is the work I did to get the answers

The perimeter would be 21.2 and 18 ^2 feat would be the area correct me if I’m wrong

Which equation can be used to find the volume of this solid?(HURRY)

Answers

Answer:V=(7x11)/2 x 9

Step-by-step explanation:

Height=h=9

volume=v

base area=(7x11)/2

Volume of triangular prism=base area x height

V=(7 x 11)/2 x 9

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