. Neve is examining a tree limb. She notices that the smaller branches spiral away from the larger limb. The limb has 1 branch, then another single branch. After that, the branches spiral in the pattern {2, 3, 5, 8, …}. Can you model the tree growth with the Fibonacci sequence? Explain.

8400000cm

84 kilometer is 8400000 centimeter.

Here given 84 km ,

We know that 1 km = 1000 meter

               so 84 km  = 84 x 1000 meter

                                 = 84000 meter

 and 1 meter = 100 cm

 so here 84000 meter = 84000 x 100 cm

                                       = 8,400,000 Centimeters

∴ 84 km = 8400000cm

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Answer:

9.025

Step-by-step explanation:

9+25*0.001

9+0.025

9.025

The damping ratio (ζ) is 1, indicating critical damping, and the natural frequency (ωn) is 7.

To illustrate the location of poles and zeros on the s-plane for the given transfer function G(s) = 49/(s+7)(s+7), we first need to factorize the denominator. The transfer function has two poles at s = -7 and s = -7, indicating a double pole at s = -7. The denominator (s+7)(s+7) represents a second-order system.

The poles represent the points on the s-plane where the transfer function becomes infinite, or the system becomes unstable. In this case, the poles are located at s = -7, indicating that the system is critically damped since there is a double pole at the same point.

To determine the damping ratio (ζ) and natural frequency (ωn), we can compare the given transfer function to the standard second-order transfer function form:

G(s) = ωn^2 / (s^2 + 2ζωn s + ωn^2)

By comparing the coefficients, we can see that ωn^2 = 49 and 2ζωn = 14 (since 2ζωn is the coefficient of s). Solving for ωn and ζ, we get:

ωn = sqrt(49) = 7 2ζωn = 14 => ζ = 1

Therefore, the damping ratio (ζ) is 1, indicating critical damping, and the natural frequency (ωn) is 7.

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The given function f(x) = 16^x is an exponential function.

An exponential function is a mathematical function in which an independent variable appears in the exponent. In this case, the base of the function is 16, and the variable x is the exponent.

In the given function f(x) = 16^x, the variable x represents the exponent to which 16 is raised. As x increases, the function value grows rapidly, indicating exponential growth. The base of 16 signifies that the function is being multiplied by 16 for each unit increase in the exponent.

In contrast, a linear function has a constant rate of change, and a quadratic function has a squared term. The given function does not involve a linear relationship or a squared term, which confirms that it is not a linear or quadratic function.

Therefore, based on the given form f(x) = 16^x and the exponential growth nature of the function, we can classify it as an exponential function.

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Answer: Go to this link https://brainly.com/question/21323536

Step-by-step explanation:

Answer:

I believe it's B

Step-by-step explanation:

I'm so sorry if im wrong

The charge to play two games is $19 and the charge to play six games is $49.

The question states the expression to calculate the charge. The expression has a variable x, which indicates the number of games. Thus, keeping the value of x in the formula to find the charge.

Calculating a part -

t = 7.5 × 2 + 4

Performing multiplication on Right Hand Side of the equation

t = 15 + 4

Performing addition on Right Hand Side of the equation

t = 19

Thus, the charge to play two games is $19.

Calculating b part -

t = 7.5 × 6 + 4

Performing multiplication on Right Hand Side of the equation

t = 45 + 4

Performing addition on Right Hand Side of the equation

t = 49

Thus, the charge to play six games is $49.

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The domain of ggg is option D: -7 ≤ x ≤ 4.

To determine the domain of a function, we need to identify the set of all possible values for the independent variable, in this case, x, for which the function is defined.

In option D, the domain is specified as -7 ≤ x ≤ 4. This means that x can take any value within the closed interval from -7 to 4, inclusive.

In other words, the domain of ggg includes all real numbers between -7 and 4, including -7 and 4 themselves. This interval represents the range of values for x that satisfy the given conditions for the function ggg.

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When solving proportions, we set the cross products equal, and then we solve for the unknown variable.

When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.

For example, consider the proportion: a/b = c/d

To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:

a * d = b * c

This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.

By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.

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Answer:

y=2x-2

Step-by-step explanation:

the slope of the two points can be found using rise over run which would be 4/2 and that equals 2. then you have to pout the y intercept.

The first step to conducting a statistical study is to clearly define the research question or problem.

This involves identifying the population of interest, the variables to be measured, and the hypothesis or objective of the study. Once the research question is clearly defined, the next step is to design the study, including selecting an appropriate sample size, choosing a sampling method, and determining the data collection method.

It is also important to consider potential sources of bias and confounding factors that may impact the study results. Overall, a well-designed statistical study should be able to produce reliable and accurate results that can be used to draw meaningful conclusions about the population of interest.

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The values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

The perpendicular height of the right triangle divides the triangle in two triangles with the same proportions as the original triangle.

√15/(y + 2) = y/√15 {opposite/adjacent}

y(y + 2) = (√15)² {cross multiplication}

y² + 2y = 15

y² + 2y - 15 = 0

by factorization;

(y - 3)(y + 5) = 0

y = 3 or y = -5

by Pythagoras rule:

(√15)² = x² + y²

15 = x² + 3²

x = √(15 - 9)

x = √6

z² = (√6)² + 2²

z = √(6 + 4)

z = √10

Therefore, the values of x, y and z for the right triangle are: x = √6, y = 3, and z = √10 respectively.

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Answer:

80cm^2

Step-by-step explanation:

20*5=100

10*2=20

100-20=80

Answer:

12 trips

Step-by-step explanation:

Eduardo cycles 12 kilometers per 3 trips

The unit rate would be 4 kilometers per 1 trip, because you divide each side by 3.

You can figure out that 28 divided by 7 equals 4. So, you can multiply the number of trips by 4

(3 x 4) equals 12

So, Eduardo takes 12 trips to cycle 28 kilometers

Answer: At the Month May Jordan as able to get enough money to buy the phone.

Work:

December:$5

January:$10

February:$20

March:$40

April:$80

May:$160 <--Answer

____________________________________________________________In the problem Jordan saves $5 at December, then at January Jordan saved $10 which is twice as December's saved money amount. February, Jordan saved $20, which is twice as January's saved money amount. March is $40, which is twice as February's saved money amount. For April it is $80, which is twice as March's money amount, May is $160 which is twice as April's money amount. Or another way to say this is by starting at $5. Then, keep multiplying by 2 for each month until you get $150 or more. When you do, stop at the month that gets you $150 or more. When i did this exact method, I got $160 on the Month of May. $160 is more than enough for Jordan to buy his phone. So the month May is the correct answer where Jordan can get enough money for his phone.

Answer: The fifth month; By April Jordan would have saved more than enough to buy a new phone.

Step-by-step explanation:

Dec $5

Jan $10

Feb $20

Mar $40

Apr $80

Dec + Jan = $15($5+$10)

Dec+ Jan + feb = $35($5+$10+$20=$35)

Dec+ Jan + feb + mar = $75 ($5+$10+$20+$40=$75)

Dec+ Jan + feb + mar + apr = $155

($5+$10+$20+$40+$80=$155)

Answer:

1/3(x-1)

Step-by-step explanation:

1/3x - 1/3

Both terms have a greatest common factor of 1/3

1/3 *x - 1/3 *1

Factor out a 1/3

1/3(x-1)

Answer:

99cm^2

Step-by-step explanation:

Look at pic

The absolute and local extreme values of the given function f(x) = x^3 - 2x^(2/3) on the interval [−8, 8] is 11.79.

To find the absolute extrema and local extrema of a function on a closed interval, we need to evaluate the function at the critical points and the endpoints of the interval.
First, we need to find the derivative of the function:

f'(x) = 3x^2 - (4/3)x^(-1/3)

Setting f'(x) equal to zero, we get:

3x^2 - (4/3)x^(-1/3) = 0

Multiplying both sides by 3x^(1/3), we get:

9x^(5/3) - 4 = 0

Solving for x, we get:

x = (4/9)^(3/5) ≈ 0.733

Next, we need to evaluate f(x) at the critical point and the endpoints of the interval:

f(-8) ≈ -410.38
f(8) ≈ 410.38
f(0.733) ≈ 11.79

Therefore, the absolute maximum value of f(x) on the interval [-8, 8] is approximately 410.38, and it occurs at x = 8. The absolute minimum value of f(x) on the interval is approximately -410.38, and it occurs at x = -8.

To find the local extrema, we need to evaluate the second derivative of the function:

f''(x) = 6x + (4/9)x^(-4/3)

At the critical point x = 0.733, we have:

f''(0.733) ≈ 7.28

Since f''(0.733) is positive, this means that f(x) has a local minimum at x = 0.733.

Therefore, the local minimum value of f(x) on the interval [-8, 8] is approximately 11.79, and it occurs at x = 0.733.

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The number "a" that satisfies the given condition is 1/11.

To find the value of "a" that satisfies the given condition, we need to determine the average rate of change of the function f(x) = x^2 on the interval [a, 1-a] and set it equal to 10a.

The average rate of change of a function f(x) over an interval [a, b] is calculated as (f(b) - f(a)) / (b - a). Applying this formula to our function f(x) = x^2, we have:

[(1-a)^2 - a^2] / [(1-a) - a] = 10a

Simplifying the equation:

[(1 - 2a + a^2) - a^2] / (1 - 2a) = 10a

(1 - 2a) / (1 - 2a) = 10a

1 = 10a

Dividing both sides by 10, we get:

a = 1/10

However, we need to find a value of "a" between 0 and 1. Therefore, the correct value that satisfies the condition is a = 1/11.

In summary, the value of "a" that satisfies the given condition, where the average rate of change of f(x) = x^2 on the interval [a, 1-a] is 10a, is a = 1/11.

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Required vertex of the graph is (1,5) and it is maximum.

How to find vertex of a graph?

To find the vertex of a graph, you need to follow these steps:

By the given graph,

if we calculate number of boxes of X and Y coordinates,they we can easily say that vertex of the graph is (1,5) because here x - coordinate is 1 unit and Y - coordinate is 5 unit.

It is a maximum because here the parabola situated on positive axis.

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Answer: 26

Step-by-step explanation:

lets replace a and b with the numbers provided

2+4(2+4)=2+4(6)=2+24=26

The indicated probability is 0.07548.

The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with , as long as .

\(E(X) = np\\\\Var(X) = np(1-p)\)

we have that:

n = 84, p = 0.4: P(X> 26)

np = 84 x 0.4 = 33.6

n(1 - p) = 84 x 0.6 = 50.4 .

we can use the online binomial probability distribution calculator :

P(X≥ 26 ) = 0.07548

Hence the indicated probability is 0.07548.

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The person would save $404 by choosing the HMO for physical therapy sessions.

Total cost refers to the overall expense incurred by a business or an individual to produce or acquire a product or service.

Let's first calculate the total cost of physical therapy sessions without insurance:

Total cost = 12 sessions * $145 per session = $1740

With the insurance policy, the person has to pay a deductible of $580 first. After that, the insurance will cover 80% of the remaining cost. So, the person pays:

($1740 - $580) * 0.2 = $232

Therefore, with the insurance policy, the person pays $580 + $232 = $812 for 12 physical therapy sessions.

If the person opts for the HMO instead, the cost would be $34 per session, so:

Total cost = 12 sessions * $34 per session = $408

Therefore, the person would save:

$812 (with insurance) - $408 (with HMO) = $404

So, the person would save $404 by choosing the HMO for physical therapy sessions.

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The coordinates along the directed line segment is (-4, 5/3)

This involves dividing a line into proportional ratios

The points are given as:

A  = (-7, 2)

B = (2, 1)

The ratio on the segment can be represented as;

m : n = 1 : 2

So, we have the coordinates of the point that lies along the directed line segment to be

Point = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

So, we have:

Point  = 1/(1 + 2) * (1 * 2 + 2 * -7, 1 * 1 + 2 * 2)

Evaluate

Point  = 1/3 * (-12, 5)

Evaluate the products

Point  = (-4, 5/3)

Hence, the coordinates of the point is (-4, 5/3)

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A graph of the solution to this inequality 3x ≤ 18 is: graph D.

In Mathematics, an inequality simply refers to a mathematical relation that is typically used for comparing two or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:

Next, we would divide both sides of the inequality by 3 as follows;

3x ≤ 18

x ≤ 18/3

x ≤ 6.

In this exercise, we would use an online graphing calculator to plot the given inequality 3x ≤ 18 as shown on the number line attached below.

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Since AB is tangent to circle E at A, we know that angle CAB is a right angle (tangent is perpendicular to the radius at the point of tangency). Therefore, triangle ADC is a right triangle.

Let's use the Pythagorean theorem to find the length of CE:

CE^2 = AC^2 + AE^2 (using Pythagorean theorem in triangle ACE)

CE^2 = 9^2 + EA^2 (since AE = EA, by definition of radius)

CE^2 = 81 + EA^2

We still need to find EA. Let's use the fact that EA is half the length of CD:

EA = CD/2

Now we can substitute this expression into the previous equation:

CE^2 = 81 + (CD/2)^2

CE^2 = 81 + CD^2/4

Next, let's use the Pythagorean theorem in triangle ADC:

AD^2 + DC^2 = AC^2

4^2 + DC^2 = 9^2

DC^2 = 9^2 - 4^2

DC^2 = 65

Now we can substitute this expression into the previous equation:

CE^2 = 81 + 65/4

CE^2 = 99.25

Taking the square root of both sides, we get:

CE ≈ 9.96

Therefore, CD = 2CE ≈ 19.9.

Answer: CD ≈ 19.9

The median number of newspapers sold over seven weeks is 223.

The median is the middle score for a data set arranged in order of magnitude. The median is less affected by outliers and skewed data.

The formula for the median is as follows:

Find the median number of newspapers sold. (87, 87, 215, 154, 288, 235, 231)

We'll first arrange the data in ascending order.87, 87, 154, 215, 231, 235, 288

The median is the middle term or the average of the middle two terms. The middle two terms are 215 and 231.

Median = (215 + 231)/2

= 446/2

= 223

In statistics, the median measures the central tendency of a set of data. The median of a set of data is the middle score of that set. The value separates the upper 50% from the lower 50%.

Hence, the median number of newspapers sold over seven weeks is 223.

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Answer:

hallo, I'm here to answer again!

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