A Ferris wheel with radius 34 feet completes one revolution every 50 second. Jeremy boards the wheel on a platform 7 feet above the ground. How high will the person be after riding for 56 seconds

Answers

Answer 1

The person will be 26.86 feet high after riding for 56 seconds.

Given that a Ferris wheel with radius 34 feet completes one revolution every 50 seconds, and Jeremy boards the

wheel on a platform 7 feet above the ground.

To find the height of the person after 56 seconds we use the formula;

h = r + r cos θ

Where;h = height, r = radius of Ferris wheel, θ = angle of Ferris wheel (in radians)

From the given information we can find the angle of Ferris wheel (in radians) by using;

ω = 2π/T

Where;ω = angular velocity, T = time period of one revolution.

Substituting the values,

ω = 2π/50

= π/25 rad/s

Now, using the angular velocity we can find the angle of the Ferris wheel (in radians) after 56 seconds by using;

θ = ωt

Where;t = time elapsed.

Substituting the values,

θ = π/25 × 56

= 8π/25 rad

h = r + r cos θ

Substituting the values,

r = 34 feet, cos(8π/25) = -0.2079 (using the calculator)

Substituting the values;

h = 34 + 34 × (-0.2079)= 26.86 feet

Therefore, the height of the person after riding for 56 seconds is approximately 26.86 feet (rounded off to two decimal places).

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Related Questions

Model 1/3 Divide a whole into ___equal __
of the rows to show the fraction__

Answers

Answer:

three      parts     1/3

Step-by-step explanation:

The Great Pyramid of King Khufu was built of limestone in Egypt over a 20-year time period from 2580 BC to 2550 BC. Its base is a square with side length 755 ft and its height when built was 481 ft. (It was the talle 3800 years) The density of the limestone is about 150/². (4) Estimate the total work done in building the pyramid. (Round your answer to three decimal places) 20¹2-b (b) If each laborer worked 10 hours a day for 20 years, for 30 days a year and did 200 m-lb/h of work in lifting the limestone blocks into place, about how many taborars were needed to construct the pyrami taborars stone in Egypt over a 20-year time period from 2580 BC to 2560 BC. Its base is a square with side length 736 it and its height when built was 481 ft. (It was the tallest manmade structure in the world for more than = 150 m² g the pyramid. (Round your answer to three decimal places) for 20 years, for 340 days a year and did 200 ft- of work in trong the limestone blocks into place, about how many laborers were needed to construct the pyramid?

Answers

To estimate the total work done in building the pyramid, we need to calculate the work done for each limestone block and then sum up the work for all the blocks.

The work done to lift a single limestone block can be calculated using the formula:

Work = Force x Distance

The force can be calculated by multiplying the weight of the block (mass x gravity) by the density of the limestone. The distance is equal to the height of the pyramid.

Given:

Side length of the base = 755 ft

Height of the pyramid = 481 ft

Density of limestone = 150 lb/ft^3

First, let's calculate the weight of a single limestone block:

Weight = mass x gravity

The mass can be calculated by multiplying the volume of the block by its density. The volume of the block is equal to the area of the base multiplied by the height.

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PLEASE EXPLAIN WHAT IT MEANS TO "ADD THEM TOGETHER" I have seen people do this in other explanations but i don't get it..
Solve the following system of equations graphically.

x + y - 4 = 0

x - y = 0



The solution lies in quadrant _____.

III
II
I
IV

Answers

Answer:

quadrant I

Step-by-step explanation:

x + y - 4 = 0 becomes x + y = 4, so we have the equations x + y = 4 and x - y = 0. Add these two equations to eliminate y, obtaining 2x = 4. From this, x = 2, and so y = 2. So the solution is in quadrant I.

22. If a pilot elects to proceed to the selected alternate, the landing minimums used at that airport should be

Answers

If a pilot elects to proceed to the selected alternate, the landing minimums used at that airport should be equal to or higher than the minimums required for the original destination airport.

When a pilot chooses to proceed to the selected alternate airport, they must consider the weather conditions at that airport, particularly the landing minimums. The landing minimums are the lowest weather conditions in which an aircraft can safely land at an airport. They are determined by various factors, such as the visibility range and the height of the cloud ceiling.

Therefore, if a pilot decides to go to the alternate airport, they should use the landing minimums for that airport to ensure a safe landing. The landing minimums for the alternate airport should be equal to or higher than the minimums required for the original destination airport.

It's important to note that the pilot must have knowledge of the landing minimums for the alternate airport before deciding to proceed there. If they don't have the necessary information, they should consider other options, such as returning to the departure airport or diverting to a different airport with suitable weather conditions.

In summary, when a pilot chooses to proceed to an alternate airport, they should use the landing minimums for that airport to ensure a safe landing. The pilot must have knowledge of the minimums before proceeding to the alternate airport.

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Slope of (3,2) and (19,6)

Answers

Step-by-step explanation:

\(slope = \frac{y2 - y1}{x2 - x1} \\ = \frac{6 - 2}{19 - 3} \\ = \frac{4}{16} \\ \boxed{slope = \frac{1}{4} }\)









Rewrite the equation so that the coefficient of x is positive. y=5 cos (-4x-n) +4

Answers

Sure. To rewrite the equation so that the coefficient of x is positive, we can multiply both sides of the equation by -1. This will change the sign of the coefficient of x, but it will not change the value of the equation. The new equation will be:

```

y = -5 cos (-4x-n) - 4

```

We can also rewrite the equation by multiplying both sides of the equation by -1 and then adding 4 to both sides. This will change the sign of the coefficient of x and add 4 to the value of the equation. The new equation will be:

```

y = 4 - 5 cos (-4x-n)

```

Either of these equations will have a positive coefficient of x.

The equation y = 5cos(-4x - n) + 4 can be rewritten as y = 5cos(4x + n) + 4, where the coefficient of x is positive.

To rewrite the equation so that the coefficient of x is positive, we can use the property that the cosine function is an even function, meaning cos(-θ) = cos(θ).

Given the equation:

y = 5cos(-4x - n) + 4

Using the property of evenness, we can rewrite it as:

y = 5cos(4x + n) + 4

By changing the sign of the angle inside the cosine function from -4x - n to 4x + n, we ensure that the coefficient of x becomes positive.

Therefore, the equation y = 5cos(-4x - n) + 4 can be rewritten as y = 5cos(4x + n) + 4, where the coefficient of x is positive.

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i feel like i should know this but i’m confused soo

i feel like i should know this but im confused soo

Answers

Answer:

5

Step-by-step explanation:

Vertical Angle Theorem

30=6x

5=x

Answer:

x=5

Step-by-step explanation:

Hello! No worries, Geometry is very confusing.

There are several proofs and theorems to use when trying to prove an angle size. In this picture, we see two lines intersecting, forming an intersection point with two similar looking angles.

With the Vertical Angles Theorem, it explains that when two lines intersect such as shown here, the angle on the vertical side of the original angle are both equal to the same number and is identical. Similarly, using this theorem we know that the unnamed angles (the big ones) are identical too, as they are vertical sides of each other.

Now we know the angle 6x and 30 degrees are equal to each other. So how do we solve x?

We can solve for x by making it equal to each other, signaling that you understand the Vertical Angle Theorem and stating that those two angles are equal to each other.

6x=30            Divide by 6 both sides to isolate the x varianle

x=5


Therefore, x is equal to 5.

Blake has a total of 11,000 to invest in two accounts. one account earns 4% simple interest, and the other earns 5% simple interest. how much should be invested in each account to earn exactly $490 at the end of 1 year?

Answers

Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.

Let's denote the amount of money Blake invests at 4% interest as "x" (in dollars) and the amount he invests at 5% interest as "11000 - x" (since the total investment is $11,000).

To earn interest, we can use the formula: Interest = Principal × Rate × Time

For the 4% interest account, the interest earned is:

0.04x × 1 (1 year) = 0.04x

For the 5% interest account, the interest earned is:

0.05(11000 - x) × 1 (1 year) = 550 - 0.05x

According to the problem, the total interest earned is $490. Therefore, we can set up the equation:

0.04x + (550 - 0.05x) = 490

Simplifying the equation:

0.04x + 550 - 0.05x = 490

-0.01x + 550 = 490

-0.01x = -60

x = 6000

Blake should invest $6,000 at 4% interest and the remaining $5,000 (11000 - 6000) at 5% interest to earn exactly $490 at the end of 1 year.

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-
Harley is 8 years younger than India.
Jessica is three times older than Harley.
The sum of the three ages is 88.
Write the ratio of Jessica's age to India's age.

Answers

Using a system of equations, it is found that the ratio of Jessica's age to India's age is of 2.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable x: Harley's age.Variable y: India's age.Variable z: Jessica's age.

Harley is 8 years younger than India, hence:

x = y - 8.

Jessica is three times older than Harley, hence:

z = 3x.

The sum of the three ages is 88, hence:

x + y + z = 88.

x + x + 8 + 3x = 88

5x = 80

x = 16.

Hence:

y = x + 8 = 24.

z = 3x = 48

The ratio of Jessica's age to India's age is given by:

z/y = 48/24 = 2.

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6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y complete the missing value in the solution to the equation.

Answers

The missing value is 6.

As per the question, y = -4. Keeping the value of y in the equations to find the value of x.

6x + 7(-4) = 4x + 4(-4)

Performing multiplication on each side of the equation

6x - 28 = 4x - 16

Rewriting the equation with identical values on each side of the equation

6x - 4x = 28 - 16

Performing subtraction on each side of the equation to find the value of x

2x = 12

Shifting 2 to Right Hand Side of the equation

x = 12 ÷ 2

Performing division on Right Hand Side of the equation

x = 6

Hence, the value of x is 6.

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The complete question is -

6x+7y=4x+4y

Complete the missing value in the solution to the equation.

(__,-4)

A researcher finds a correlation of 0.55 between an x and a y variable. assume alpha = .05 and a one-tailed test. what is the corresponding effect size (r2)?

Answers

The value of the corresponding effect size r square is 0.3025

How to solve for the effect size

We have correlation to be given as  0.55

Then r squared = 0.55

Then we would have

r = 0.55 x 0.55

= 0.3025

Hence we conclude that if A researcher finds a correlation of 0.55 between an x and a y variable. assume alpha = .05 and a one-tailed test, the value of the corresponding effect size is 0.3025.

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What is the surface area of the right rectangular prism?

What is the surface area of the right rectangular prism?

Answers

Answer:

Hello! answer: 250

Step-by-step explanation:

10 × 5 = 50

10 × 5 = 50

10 × 5 = 50

10 × 5 = 50

5 × 5 = 25

5 × 5 = 25

50 × 4 = 200

200 + 25 + 25 = 250 the total surface area is 250 hope that helps!

A population contains one million 0s and three million 1s. What is the sampling distribution of the sample mean when the sample size is n = 5?

Answers

The sampling distribution of the sample mean when the sample size is n=5 is 0.15.

Determine the sampling distribution

When the sample size is n=5, the sampling distribution of the sample mean can be calculated using the formula;

μx=μn=μ = p1 = 1−p,

where p = the probability of getting a 1 from the population.

The formula used to determine the sampling distribution of the sample mean is given as;

μx=μn=μ = p1 = 1−p

where;

μx= the mean of the sampling distribution

μ= the mean of the population

n= the size of the sample

p = the probability of getting a 1 from the population.

Using the formula;

μx=μn=μ = p1 = 1−p, the probability of getting a 1 can be calculated as;p = 3/4 (since there are 3 million 1s in a population of 4 million)

Thus,μx=μn=μ = p1 = 1−p = (3/4)(1/5) + (1/4)(1/5) = 0.15

The sampling distribution of the sample mean when the sample size is n=5 is 0.15.

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you have 40$ its 7$ per candy how many candies can you get

Answers

5 because of 7x5 equal 30 and you can’t add another 7
Ok so if we have a total of $40 and each candy is $7 we want to find out how many times 7 will fit into 40.
7 x 1 = 7
7 x 2 = 14
7 x 3 = 21
7 x 4 = 28
7 x 5 = 35
We stop here…we stop because we only have 40 dollars and if we continue
7 x 6 = 42 we cannot buy 6 candies because we only have 40 dollars, we would need 42 dollars to get 6. So the answer will be 5 candies in total you can get even though you’ll still have 5 dollars left over. Hope this helps!

nondisclosure of the treatment an experimental unit is receiving

Answers

Blinding refers to the nondisclosure of the treatment an experimental unit is receiving in a controlled experiment.

Blinding is a technique used in experimental design to reduce bias and improve the validity of results. It refers to the practice of not revealing to the experimental units (e.g., participants, animals) or the experimenters which treatment they are receiving in a controlled experiment.

Blinding is used to eliminate potential sources of bias that might influence the results of the experiment. For example, if the participants are aware of the treatment they are receiving, they might behave differently and affect the results. Similarly, experimenters might unconsciously treat participants differently based on their knowledge of the treatment, which could also affect the results.

"

Complete question

________ refers to nondisclosure of the treatment an experimental unit is receiving.

"

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Find the volume of the sphere.
Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth

radius=8

Answers

The formula is 4/3 pi r^3. So 4/3 pi 4^3.

The answer is 267.94 m^3

The volume of a sphere with radius 8 units is 2143.57 units³

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the volume of the sphere be represented as A

Now , the value of A is

Let the radius of the sphere be r

The value of r = 8

Now , the formula to calculate the volume of the sphere is

Volume of a Sphere = ( 4/3 ) πr³

Substituting the values in the equation , we get

Volume of a Sphere = ( 4/3 ) x 3.14 x 8 x 8 x 8

Volume of a Sphere = ( 4/3 ) x 3.14 x 512

Volume of a Sphere = ( 4/3 ) x 1607.68

Volume of a Sphere = 2143.57 units³

Therefore , the value of A is 2143.57 units³

Hence , the volume of the sphere is 2143.57 units³

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what is ⅓ of nine times a half of 10​

Answers

Answer:

15

Step-by-step explanation:1 third of 9 is 3. Half of 10 is 5. Multiply 5 by 3. It is now 15.

Answer:

15

Step-by-step explanation:

Work backwards:

half of 10 = 10 ÷ 2 = 5

so ... nine times half of 10 = 9 × 5 = 45

so  ... of nine times half of ten = ⅓ of 45 = 45 ÷ 3 = 15

Evaluate the following expression. 8+[(84/12)-4]^2-7+3

Answers

Answer:

10 + 204 y

Step-by-step explanation:

Answer:

13.

Step-by-step explanation:

8+[(84/12)-4]^2-7+3

= 8 + (7 - 4)^2 - 7 + 3

= 8 + 3^2 - 7 + 3

= 8 + 9 - 7 + 3

= 17 - 7 + 3

= 10 + 3

= 13.

Does this graph represent a function? Why or why not?
A. No, because it is not a straight line.
• B. Yes, because it passes the vertical line test.
C. Yes, because it is a curved line.
• D. No, because it fails the vertical line test.
SUBMIT

Does this graph represent a function? Why or why not?A. No, because it is not a straight line. B. Yes,

Answers

Answer:

B. Yes, because it passes the vertical line test.

Step-by-step explanation:

Vertical line test - if a vertical line passes through more than one pone, the relation is not a function

Any vertical line will only pass through one point, so this relation is a function

The relation is a function because it passes the vertical line test

BRAINLIEST What is the volume of the right triangular prism, in cubic meters? Round to the nearest cubic meter.


1,771
2,071
3,542
4,143

BRAINLIEST What is the volume of the right triangular prism, in cubic meters? Round to the nearest cubic

Answers

Answer:

The answer to this would most likely be the first option: A. 1,771

Step-by-step explanation:

I've seen the question before.

The volume of the right triangular prism is 1771  cubic meters

What is the volume of a right triangular prism?

The volume of a right triangular prism can be estimated by using the formula:

\(\mathbf{V = \dfrac{1}{2} \times b \times h \times l}\)

where;

b = base length of the triangle = 14h = height of the triangle = 23l = length of the prism = 11

\(\mathbf{V = \dfrac{1}{2} \times 14 \times 23 \times 11}\)

V = 1771 m³

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the gotham city maternity ward contains 2 beds. admissions are made only at the beginning of the day. each day, there is a .5 probability that a potential admission will arrive. a patient can be admitted only if there is an open bed at the beginning of the day. half of all patients are discharged after one day, and all patients that have stayed one day are discharged at the end of their second day. a what is the fraction of days where all beds are utilized? b on the average, what percentage of the beds are utilized?

Answers

Answer:

Step-by-step explanation:

In all Markov-chain problems, the first thing to set up is the state space; in your case the system would be described by pairs which indicate the state of the beds, say e for empty, f for full and d for discharging. So one state would be a pair, for instance {e,d} would indicate that one bed is empty and one bed contains a patient that will leave on the next day. One possible state-space describing the clinic is,

S={{e,e},{e,d},{e,f},{d,f}}.

Note that in the problem (and in the model) there is no ordering in the beds and {e,d} is the same as {d,e}; note also that the case {f,f} is impossible because two guests cannot arrive together and, in case one bed is f on one day it would become d on the following day.

Once the state space is defined, you have to define the transition function which gives the probability of the next state given the current state. In such a small problem can be done by plain enumeration of cases with their associated probabilities p

{e,e}: no guest arrives (stay in {e,e} with p=.5) or one guest arrives (move to {e,f}, with p=.5); {e,f}: Either one guest arrives, and the current guest stays (move to {d,f}with p=.25); one guest arrives and the current guest leaves (stay in {e,f}with p=.2); no guest arrives and the current guest stays (move to {d,e} with p=.25); no guest arrives and the current guest leaves (move to {e,e}with p=.25){e,d}: no guest arrives (move to {e,e} with p=.5); one guest arrives (move to {e,f}with p=.5){d,f}: two guests leave (move to {e,e}with p=.5); one guest leaves (move to {e,d} with p=.5)

Stationary probability: Let stationary probability of a state i

is given as PI(ij).So from the lingo results, the stationary probabilities are as follows.

PI(00)=0.182

PI(01)=0.182

PI(10)=0.159

PI(11)=0.250

PI(12)=0.091

PI(20)=0.023

PI(21)=0.068

PI(22)=0.045

Here PI(00)=0.182 represents the stationary probability of state 00.

Let the fraction of days where all beds are utilized is represented as PI(2).

Here PI(12) denotes the function, where for 2 consecutive days the 1

bed was utilized for 1 day and 2 beds were in use on the consecutive day.

So, PI(2) can be calculated as:

PI(2)=PI(12/2)+PI(20/2)+PI(21/2)+PI(22)

=0.091/2+0.023/2+0.068/2+0.045

=0.0455+0.0115+0.034+0.045

=0.136

So, 13.6% of times, all the beds are utilized.

the gotham city maternity ward contains 2 beds. admissions are made only at the beginning of the day.
Let's first consider the fraction of days where all beds are utilized:

a) To have both beds utilized at the same time, we need at least two patients to have stayed for two days or four patients to have stayed for one day each. The probability of having at least two patients stay for two days is the same as the probability of having two or more admissions on the first day, which can be calculated using the binomial distribution:

P(X ≥ 2) = 1 - P(X = 0) - P(X = 1)

where X is the number of admissions on the first day. The probability of no admissions is 0.5, and the probability of one admission is 0.5 times the probability of having an open bed on the first day, which is also 0.5. Therefore:

P(X ≥ 2) = 1 - 0.5 - 0.5 × 0.5 = 0.25

Alternatively, the probability of having four patients each stay for one day is (0.5)^4 = 0.0625. The probability of having both beds utilized is the sum of these probabilities:

P(both beds utilized) = 0.25 + 0.0625 = 0.3125

Therefore, the fraction of days where all beds are utilized is 0.3125 or 31.25%.

b) To find the average percentage of beds utilized, we need to calculate the expected number of patients per day and divide by the number of beds. Let's define a random variable Y as the number of patients per day. The distribution of Y depends on the number of admissions on the first day:

If X = 0 (no admissions), Y = 0
If X = 1 (one admission), Y = 1 with probability 0.5 and 0 with probability 0.5
If X ≥ 2 (two or more admissions), Y = 2 with probability 0.25, 3 with probability 0.25, and 4 with probability 0.5

Therefore, the expected value of Y is:

E(Y) = 0 × 0.5 + 1 × 0.25 + 2 × 0.25 + 3 × 0.25 + 4 × 0.5 = 2.25

The average percentage of beds utilized is then:

2.25 / 2 = 1.125 or 112.5%

Note that this value is greater than 100% because patients can stay for more than one day.

I need help plz!!!!!

I need help plz!!!!!

Answers

Answer:

x = 0

Step-by-step explanation:

If one were to fold this figure in half over the line x = 0, then one would end up with a single figure, with no overhang. Hence x = 0 is the line of symmetry. Note; x = 0, can also be called the y-axis.

Answer:

Option D) x = 0

Step-by-step explanation:

Axis of symmetry is a line that divides an object into two equal halves, thereby creating a mirror-like reflection of either side of the object. Here we see that the object's Axis of symmetry is the line x =0

The line x = 0,1,2,3,4,5,..... and so on are all vertical lines and

The line y=0,1,2,3,4,5,..... and so on are all horizontal lines

In this this case the line x = 0 is the Axis of symmetry which divides the object in two equal halves.

I need help plz!!!!!

What is the surface area of the figure below?



A 12 ft?
B 36 ft?
C 54 ft?
D 90 ft2

What is the surface area of the figure below?A 12 ft?B 36 ft?C 54 ft?D 90 ft2

Answers

Answer:

D

Step-by-step explanation:

6 times 3 times 4 plus 3 times 3 times 2

Answer:

D. 90 ft squared

Step-by-step explanation:

A= 2wl + 2lh + 2hw

A = 18 + 36 + 36

=90

at a dinner party, guests were served dishes of soup, rice, and tofu. every dish of soup was shared by two guests, every dish of rice was shared by three guests, and every dish of tofu was shared by four guests. every guest ate from exactly one dish of soup, one dish of rice, and one dish of tofu. if the total number of dishes was 65, then how many guests were there?

Answers

In Korea, tofu is typically offered during breakfast.

Describe breakfast.

The first meal of the day, known as breakfast, is often had in the morning. After an overnight fast, it is a crucial meal that gives the body and brain fuel. Protein and carbs are generally found in breakfast foods such eggs, bacon, oatmeal, toast, pancakes, yoghurt, cereal, and fruits. A nutritious breakfast may boost energy levels, jump-start the metabolism, and enhance focus and memory. A nutritious breakfast can also aid in lowering mid-day snacking and preventing overeating in the evening. Make sure to incorporate breakfast in your daily schedule since eating breakfast is crucial to living a healthy lifestyle.

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Tara bought 2 bottles of jucie a day for 15 days. on the 16th day, Tara bought 7 bottles write an expression that matches the words

Answers

Answer:

15 x 2 + 7

Step-by-step explanation:

Tara bought 2 bottles for 15 day.

Total bottles bought = 15 x 2

Tara bought 7 bottles on the 16th day:

Total bottles bought = 15 x 2 + 7

a 6-foot man is running away from the base of a streetlight that is feet high. if he moves at the rate of feet per second, how fast is the length of his shadow changing?

Answers

As per the unitary method, the length of his shadow changing is 30 feet.

The term unitary method is known as a process of finding the value of a single unit, and based on this value.

Here we have given that a 6-foot man is running away from the base of a streetlight that is feet high.

Then let us consider that the man be x feet away from the street light and his shadow length be y,

Here we have also consider that let the tip of the shadow be l feet away from the light is written as

=> l = x + y

Here we are given that,

=> dx/dt=2

Then as per the concept of similar triangles, we can write it as,

=> x/5 = 6x+6/31

=> 31x = 30x + 30

=> x = 30

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75% as a decimal adwadadwadawdwadadwadawda

Answers

Answer: 0.75

Step-by-step explanation: Just put 75/100 into a calculator and that's what you get. % is always out of 100, so 75/100= 0.75

Triangle JKL, with vertices J(2,3), K(7,4), and L(3,9), is drawn inside a rectangle, as
shown below.

What is the area, in square units, of triangle JKL?

Triangle JKL, with vertices J(2,3), K(7,4), and L(3,9), is drawn inside a rectangle, asshown below.What

Answers

Answer:

14.5

Step-by-step explanation:

The area of the rectangle is \((5)(6)=30\).

The areas of the three right triangles in the rectangle but not in \(\triangle JKL\) are 2.5, 10, and 3.

\(\implies [JKL]=30-2.5-10-3=14.5\)

Combine like terms to create an equivalent expression87​ m+ 109​ −2m− 53​

Answers

Combined terms: 85 m + 56

Find the Taylor series expansion of f(x)=xe
2x
centered at a=0

n=0
[infinity]


n!
2
n


x
n


n=0
[infinity]


n
2
n


x
n+1


n=0
[infinity]


n!
2
n


x
n+1


n=0
[infinity]


n!
2

x
n+1



Answers

The Taylor series expansion of \(\( f(x) = xe^{2x} \)\) centered at a = 0 is \(\(\sum_{n=0}^{\infty} \frac{2n!}{2^n} x^{n+1}\)\).

The Taylor series expansion of \(\( f(x) = xe^{2x} \)\)  centered at a = 0 is given by:

\(\[\sum_{n=0}^{\infty} \frac{n!}{2^n} x^{n+1}\]\)

Simplifying further:

\(\[\sum_{n=0}^{\infty} \frac{n!}{2^n} x^{n+1} + \sum_{n=0}^{\infty} \frac{n!}{2^n} x^{n+1}\]\)

\(\[\sum_{n=0}^{\infty} \left( \frac{n!}{2^n} + \frac{n!}{2^n} \right) x^{n+1}\]\)

\(\[\sum_{n=0}^{\infty} \frac{2n!}{2^n} x^{n+1}\]\)

This is the Taylor series expansion of \(\( f(x) = xe^{2x} \)\) centered at a = 0.

To know more about Taylor series, refer here:

https://brainly.com/question/32235538

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Complete Question:

Find the Taylor series expansion of \(\( f(x) = xe^{2x} \)\) centered at a = 0:

\(\[\sum_{n=0}^{\infty} \frac{n!}{2^n} x^{n+1} + \sum_{n=0}^{\infty} \frac{n!}{2^n} x^{n+1}\]\)

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