A line is subdivided according to the golden ratio, with the smaller piece having a length of 8 meters. What is the length of the entire line? Use o 1618
The length of the entire line is meters.

Answers

Answer 1

Answer:

the entire length is 202.25 or 203 when rounded to the nearest number.

Step-by-step explanation:


Related Questions

Indicate the general rule for the arithmetic sequence with a3 = -12 and a8 = -37

Answers

Answer:

The general rule is [tex]a_n = -2 - 5(n-1)[/tex]

Step-by-step explanation:

Arithmetic sequence:

In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.

The general rule of an arithmetic sequence is given by:

[tex]a_{n} = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference.

We can also find the nth term as a function of a term m, using:

[tex]a_n = a_m + (n-m)d[/tex]

a3 = -12 and a8 = -37

First we find the common difference. So

[tex]a_n = a_m + (n-m)d[/tex]

[tex]a_8 = a_3 + (8-3)d[/tex]

[tex]-37 = -12 + 5d[/tex]

[tex]5d = -25[/tex]

[tex]d = -\frac{25}{5}[/tex]

[tex]d = -5[/tex]

So

[tex]a_n = a_1 - 5(n-1)[/tex]

Finding the first term:

[tex]a_n = a_1 - 5(n-1)[/tex]

Since [tex]a_3 = -12[/tex]

[tex]a_n = a_1 - 5(n-1)[/tex]

[tex]a_3 = a_1 - 5(3-1)[/tex]

[tex]a_1 = a_3 + 10 = -12 + 10 = -2[/tex]

So the general rule is:

[tex]a_n = a_1 - 5(n-1)[/tex]

[tex]a_n = -2 - 5(n-1)[/tex]

The smaller cube measures 10 cm on each edge. What is the surface area?

Answers

Answer:

10 cm cubed or 10^3cm

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

6 sides x 10 x 10 = 600

this is the surface area

what is the slope of the line.

Answers

Answer:

1 ..................or 1/1

Answer:

-1 is the slope

..................

GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)

Answers

Answer:

.7880

Step-by-step explanation:

Answer:

pretty sure it's 0.7880 !!! good luck, this stuff is super tough :(

Step-by-step explanation:

The exponential model A = 661.7 e^0.011t describes the population, A, of a country in millions, t years after 2003. Use the model to determine the population of the country in 2003

Answers

Answer:

661.7 million

Step-by-step explanation:

Given the exponential model :

A = 661.7 e^0.011t

The general form of an Exponential model is expresses as :

A = A0 * e^rt

Where A = final value ; A0 = Initial value ; r = growth rate and t = time elapsed

From the question t = time after 2003

Therefore, A0 = initial population, which is the population in 2003

Therefore, A0 = 661.7

Or we could put t = 0 in the equation and solve for A

A = 661.7 e^0.011(0)

A = 661.7 * 1

A = 661.7

Hence, population in 2003 is 661.7 million

what is:

k/5 + 2.5 = .5?​

Answers

Answer:

k = -10

Step-by-step explanation:

k/5 + 2.5 = 0.5

k/5 = -2

k = -10

K = -10

-10 / 5 = -2

-2 plus 2.5 = .5

Can someone pls help me with this

Answers

Answer:

8.5 pi

Step-by-step explanation:

C= 2 pi r

21 pi= 2pi r

r= 10.5

Arc length= 2pi r(145/360)

21 pi( 145/360)= 8.5 pi

Someone helppp pls :(((((

Answers

Answer:

y = ½x + 8

Step-by-step explanation:

✔️First, find the slope (m) using any two given pairs of values, say (0, 8) and (2, 9):

Slope (m) = change in y/change in x

Slope (m) = (9 - 8)/(2 - 0)

Slope (m) = 1/2

m = ½

✔️Find the y-intercept (b):

The y-inteeceot of the function would be the value of y when x = 0.

Form the table, when x = 0, y = 8. Therefore:

y-intercept (b) = 8

✔️To write the equation of the function, substitute m = ½ and b = 8 into y = mx + b.

Thus:

y = ½x + 8

WILL GIVE BRAINLIEST AND 40 POINTS TO CORRECT ANSWER (URGENT)

chef daniels places her favorite recipes in a bag for 4 pasta dishes, 5 casseroles, 3 types of chili, and 8 desserts. If Chef Daniel chooses two recipes at random (but replaces the first one before drawing the second), what is the probability that the first recipe she selects is a casserole and the second recipe she selects is a dessert?

Answers

Answer:

answer:

answe:

answ:

ans:

an:

as:

a:

:

PLEASEE, i’ve been struggling with this for a long time. What base and height should I use guys?! Pls dont you dare to scam me or you get a report

Ima mark brainliest ;-;

Answers

Answer:

3 height

7 Base

An isosceles triangle has an angle that measures 116°. Which other angles could be in that isosceles triangle? Choose all that apply.

Answers

Answer:

Step-by-step explanation:

since we know that triangles have 180° we know that 116° is two much if it's doubled  2*116 = 232° so that angle has to be the single angle and the left over of 180 - 116  is the left over amount that is even divided into the last two angles so   180 - 116 = 64 / 2 = 32°  so the triangle is made up of  116 + 32 + 32 degree angles

Ethan purchased a new cell phone for $75.00. The costs of the phone is included in his first month's bill. His cell phone plan charges $0.06 for each minute used.

if Ethan has $90.00 to spend on his first month's bill, what is the maximum number of minutes he can use?

A. 80 minutes
B. 250 minutes
C. 1,250 minutes
D. 1,500 minutes​

Answers

Answer:1,250

Step-by-step explanation:

6. Simone was timing John, Johnny and
James to see who could hold their breath
the longest. John held his breath for 10
seconds, Johnny held his breath for 15
seconds and James for 25 seconds. For how
much longer than John and Johnny did
James hold his breath?​

Answers

Answer:

hgyjhudhehd

Step-by-step explanation:

(a) For real applications, the normal distribution has two potential drawbacks: (1) it can be negative, and (2) it isn’t symmetric. Choose some continuous random numeric outcomes of interest to you. Are either potential drawbacks really drawbacks for your random outcomes? If so, which is the more serious drawbacks and why?

(b) Many basketball players and fans believe strongly in the “hot hand.” That is, they believe that players tend to shoot in streaks, either makes or misses. If this is the case, why does the binomial distribution not apply, at least not exactly, to the number of makes in a given number of shots? Which assumption of the binomial model is violated, the independence of successive shots, or the constant probability of success on each shot? Or can you tell? Explain your reasoning.

(c) Your company needs to make an important decision that involves large monetary consequences. You have listed all of the possible outcomes and the monetary payoffs and costs from all outcomes and all potential decisions. You want to use the EMV criterion, but you realize that this requires probabilities and you see no way to find the required probabilities. What can you do?

(d) If your company makes a particular decision in the face of uncertainty, you estimate that it will either gain $10,000, gain $1000, or lose $5000, with probabilities 0.40, 0.30, and 0.30, respectively. You (correctly) calculate the EMV as $2800. However, you distrust the use of this EMV for decision-making purposes. After all, you reason that you will never receive $2800, you will receive $10,000, $1000, or lose $5000. Discuss this reasoning.

(e) In the previous question, suppose you have the option of receiving a check for $2700 instead of making the risky decision described. Would you make the risky decision, where you could lose $5000, or would you take the sure $2700? What would influence your decision?

(f) A potentially huge hurricane is forming in the Caribbean, and there is some chance that it might make a direct hit on Hilton Head Island, South Carolina, where you are in charge of emergency preparedness. You have made plans for evacuating everyone from the island, but duh n evacuation is obviously costly and upsetting for all involved, so the decision to evacuate shouldn’t be made lightly. Discuss how you make such a decision. Is EMV a relevant concept in this situation? How would you evaluate the consequences of uncertain outcomes?

(g) You often hear about the trade-off between risk and reward. Is this trade-off part of the decision making under uncertainty when the decision-maker uses the EMV criterion? For example, how does this work in investment decisions?

(h) Under what conditions would you prefer a simple exponential smoothing model to the moving averages method for forecasting a time series? Explain your reasoning!

Answers

hello all today's people are in the class of all the dues and then you will be able and send your friends and family members from your side of your home and get it right

What is the domain of the square root function graphed below? On a coordinate plane, a curve open up to the right in quadrant 4. It starts at (0, negative 1) and goes through (1, negative 2) and (4, negative 3). x less-than-or-equal-to negative 1 x greater-than-or-equal-to negative 1 x less-than-or-equal-to 0 x greater-than-or-equal-to 0

Answers

Answer:

Its D

Step-by-step explanation:

Ed2021

Answer

x greater-than-or-equal-to 0

Step-by-step explanation:

yes

Pls help meeeeeeeeee

Answers

Answer:

3692.64 inches cubed.

Step-by-step explanation:

round this answer to the nearest tenth and that is your answer!

The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Find a 99% confidence interval on the difference in the mean life.
Car Brand 1 Brand 2
1 36663 33866
2 43509 41829
3 36240 35500
4 32100 31950
5 37210 38015
6 48360 47800
7 38200 37810
8 33500 33215
a) Calculate SD =
b) Calculate a 99% two-sided confidence interval on the difference in mean life.
c) Which brand would you prefer? (brand 1/ no difference /brand 2)_____

Answers

Answer:

a) σ  =  4933,64

b) CI 99%  = ( - 5746  ;  7194 )

c) No difference in brands

Step-by-step explanation:

Brand 1:

n₁   =  8

x₁   = 38222

s₁   = 4974

Brand 2:

n₂  = 8

x₂  = 37498

s₂  = 4893

As n₁  =  n₂  = 8       Small sample  we work with t -student table

degree of freedom      df  = n₁  +  n₂  - 2    df = 8 +8 -2  df = 14

CI = 99 %   CI  =  0,99

From  t-student table we find   t(c)  = 2,624

CI  =   (  x₁  -  x₂ ) ±  t(c) * √σ²/n₁   +  σ²/n₂

σ² = [( n₁  -  1 ) *s₁² +  ( n₂  -  1  ) * s₂² ] / n₁ +n₂ -2

σ² = 7* (4974)² + 7*( 4893)² / 14

σ² = 24340783       σ  =  4933,64

√ σ²/n₁  +  σ²/n₂     =  √ 24340783/8   +  24340783/8

√ σ²/n₁  +  σ²/n₂     =  2466

CI 99%  =  (  x₁  -  x₂ ) ± 2,624* 2466

CI 99%  =   724  ± 6470

CI 99%  = ( - 5746  ;  7194 )

As we can see CI 99% contains 0 and that means that there is not statistical difference between mean life of the two groups

Somebody help me with the question

Answers

Answer is 3
Step by step exploration

A piecewise function is given.

Find f(-4)

Answers

Answer:

3

Step-by-step explanation:

For x<=0, f is constant: f(x) =3

-4<0, so f(-4)=3

How many odd numbers are in 10 to 50?

Answers

Answer:

20

Step-by-step explanation:

11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49

Find the volume.
pls help!

Answers

Answer:

(8*6*8)÷2=192ft^3

Step-by-step explanation:

find the volume like you would a rectangular cube and then devide it in half. so L*H*W/2

What are the coordinates for the vertex of the parabola represented by the quadratic equation
y=1/2(x + 4)^2 – 2?

Answers

Answer:

(-4, -2).

Step-by-step explanation:

Compare y = (1/2)(x + 4)^2 – 2 to the standard equation:

                y =    a(x - h)^2 + k       whose vertex is at (h, k).  

We see that h = -4 and k = -2.  Thus, the vertex of the vertex of the given parabola are (-4, -2).

What is the area, in square centimeters of the shaded part of the rectangle shown below

Answers

100 centimeters is the answer

The area of shaded region is 100 square centimeters.

What is an area?

An area is the amount of space taken up by a 2D shape or surface. The area of a shape is the number of unit squares required to completely cover it.

For the given situation,

The diagram shows the rectangle. In rectangle, some region is shaded and some region is left. The unshaded region is in the shape of the right triangle.

The area of shaded region = Area of rectangle - Area of triangle

The dimension for rectangle,

Length = 10 cm

Width = 14

The formula of area of rectangle = (length)(width)

The dimension for triangle,

Base = 10 cm

Height = 14 - 6

⇒ Height = 8 cm

The formula of area of triangle = 1/2 (base)(height)

On substituting the above values,

Thus area of shaded region = [tex](10)(14)-\frac{1}{2} (10)(8)[/tex]

⇒ [tex]140-40[/tex]

⇒ [tex]100[/tex]

Hence we can conclude that the area of shaded region is 100 square centimeters.

Learn more about area here

https://brainly.com/question/14853802

#SPJ2

What is the length of line segment FE?



Enter your answer, as a decimal rounded to the nearest tenth, in the box.
FE =
units

Answers

Answer:

(7,-1)because it is problem of vector lesson so that we have to use formula of vector

FE=7.1
F (-3,4)
E (4,3)
distance formula: √(4-(-3))^2 + (3-4)^2 = √49+1 = √50 = 7.07 or 7.1

Joe wants his overall test average to be 85%. What score would he need on his next test if the test scores he has so far are: 70%, 105%, 75%, 90%, 90%?

Answers

Answer:

He would need a score of 0.8 = 80%.

Step-by-step explanation:

Average score:

The average score is the sum of all scores divided by the number of tests.

What score would he need on his next test if the test scores he has so far are: 70%, 105%, 75%, 90%, 90%?

Combining with the next text, there will be 6, and the sum will be: 0.7 + 1.05 + 0.75 + 0.9 + 0.9 + x = 4.3 + x.

Joe wants his overall test average to be 85%.

So

[tex]\frac{4.3 + x}{6} = 0.85[/tex]

[tex]4.3 + x = 5.1[/tex]

[tex]x = 5.1 - 4.3 = 0.8[/tex]

He would need a score of 0.8 = 80%.

In which quadrant does the point (-1, 24) lie?
OA.
Quadrant 1
OB. Quadrant II
OC. Quadrant IV
D. Quadrant III

Answers

D?? mark crown if correct
Answer: Quadrant II

The point (-1,24) goes left one and up 24. This is inside the top left quadrant (quadrant II)

(2, -16)

plug in the correct variables in the equation below

y = mx + b​

Answers

The Answer Is Y=-8x

This is because x is multiplied by -8 to find y.

find the area of this trapezoid. Include the correct unit in your answer.
I need help understanding this and how to do it :)​

Answers

Answer:

[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]

Step-by-step explanation:

we are given a trapezoid

we want to figure out the area

remember that,

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{a + b}{2} h[/tex]

where a and b represent the parallel lines and h represents the height

we get from the pic that a and b are 5 and 15 respectively and h is 7

so substitute:

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{5 + 15}{2} \times 7[/tex]

simplify addition:

[tex] \displaystyle A _{ \text{trapezoid}} = \frac{20}{2} \times 7[/tex]

simplify division:

[tex] \displaystyle A _{ \text{trapezoid}} = 10\times 7[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{trapezoid}} = 70[/tex]

since we multiply two same units we of course have to use square unit

hence,

[tex] \displaystyle A _{ \text{trapezoid}} = 70 {m}^{2} [/tex]

WILL GIVE BRAINLIEST!! do not answer if you dont know what the answer is.

3(n + 2) = 9(6 - n)

Answers

n=4

With the equation use the distributive property to multiply 3 into (n+2). And 9 into (6-n).

Then you should have 3n+6=54-9n
You add 9n to both sides to get 12n+6=54.

After you should subtract six from both sides to get 12n=48

The last step is to divide 12 from both sides to get n=4 :)

please help ..................

Answers

Answer:

xxyy2578

Step-by-step explanation:

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