directions: use the given information to find the desired measurement. a ferris wheel has a diameter of 50 feet. how far has a person traveled when they have moved 270 degrees?

Answers

Answer 1

Based on the information, the person traveled 117.8 feet by the Ferris wheel.

Circumference = π×diameter

Keep the values in formula and perform multiplication to find the circumference of the wheel

Circumference = 50π

On 1 complete revolution of 360 degrees, the distance covered = 50π

So, revolution of 270 degrees, the distance covered will be = (50π/360) × 270

Performing multiplication and division on Right Hand Side of the equation

The distance traveled = 117.8 feet

Hence, the person travelled 117.8 feet.

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Related Questions

if f(x) = 2x - 4 find f(k+1)

Answers

Answer: [tex]f(k+1)=2k-2[/tex]

Step-by-step explanation:

Substituting [tex]k+1[/tex] for [tex]x[/tex],

[tex]f(k+1)=2(k+1)-4\\\\f(k+1)=2k+2-4\\\\f(k+1)=2k-2[/tex]

Solve the equation by completing the square. x2 + 6x = 9

Answers

X = 1.125

X should be number greater than one but less than 2.

the ages of five randomly chose cars in the parking lot are determined to be 7, 9, 3,4, and 6 years old. if we consider these 5 cars in groups of 3, how many groups can be formed?

Answers

The number of groups formed is 10 if we consider 5 cars in groups of 3.

Given, 5 cars in groups of 3, we can use the formula,

(5 3) = 5! / 3! × 2!

= 10

Permutation and combination are the various ways in which one can form a set that may be selected without any replacement. When the selection of a subset is where we use the permutation and when the ordering of the subset is there we use a combination.

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Please graph this equation y=4|x-1|+3

Answers

The graph of equation y=4|x-1|+3 is as shown below.

In this question, we need to graph the equation y=4|x-1|+3

We know that the parent function of given equation is z = |x|

A parent function is translated right by 1 unit then it is dilated vertically by 4 units and the resulting image is translated up by 3 units.

The graph of equation y=4|x-1|+3 is as shown below.

The vertex of equation y=4|x-1|+3 is at (1, 3)

Therefore, the graph of equation y=4|x-1|+3 is as shown below.

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3y minus 27 i have no idea

Answers

⇒ 3y-27
⇒ Factor out 3
⇒ 3(y-9)
So 3(y-9) when evaluated
Answer:

3(y-9)

Step by step explanation:

3y-27

Factorizing

3(y-9)

Suppose that y varies directly with x, and y=-4 when x=10. what is
y when x=2.

Answers

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"y" varies with "x"}}{y=kx}\hspace{5em}\textit{we know that} \begin{cases} y=-4\\ x=10 \end{cases}\implies -4=k(10) \\\\\\ \cfrac{-4}{10}=k\implies -\cfrac{2}{5}=k\hspace{10em}\boxed{y=-\cfrac{2}{5}x} \\\\\\ \textit{when x = 2, what is "y"?}\qquad y=-\cfrac{2}{5}(2)\implies y=-\cfrac{4}{5}[/tex]

javieretta earned $9.50 each hour she works at camp clap happy during summer vacation. she earned $304 one week in june and $247 during a week in july. how many hours did she work that week in june? please help

Answers

Javieratta worked for a total of 32 hours in the week of June to earn an amount of 304 dollar.

Javieretta earns $9.50 each hours she works at camp clap happy.

She earned $304 in week of june and $247 during a week in july.

Let us assume that she works X hours.

So, using unitary method, we can write,

X times the amount she earns in one hour = Earning in the week of june.

X(9.50) = 304

X = 304/9.50

X = 32 hours.

So, she worked for a total of 32 hours in the camp clap happy summer vacation.

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Please help!!!!!!!!!!

Answers

Answer:  81

Step-by-step explanation:

Let's start with what we know:

Time spent each evening = 1/3 of an hour

Time spent: 27

We need to turn the time spent into minutes so We will do

27 * 60 = 1620 minutes

As well as we need to turn the 1/3 of an hour into minutes so we will do

1/3 * 60 = 20 minutes

So now we have these numbers

You can pick any letter but I will pick x

We can do 20x = 1620 (Time spent times number of evenings equals time spent)

Then after that you just divide 20x/20 and 1620/20

Then getting x = 81.

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solve the inequality write the solution in interval notation

-x/3 < 5

Answers

The inequality expression given as -x/3 < 5 has a solution of x > -15

How to solve the inequality?

From the question, the inequality is given as

-x/3 < 5

The above inequality can be re-written as follows

-x/3 < 5

There is no constant to add or subtract in the expression

So, we start by multiplying both sides of the expression by a constant

Multiply both sides by 3

expression

-x < 15

Divide both sides by -1

So, we have the following representation

x > -15

Hence, the solution to the expression is x > -15

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please answer this question (answer is needed as a fraction) ​

Answers

Answer:

4/6 means 2/3 it is most likely 0, 67 or 0, 66.

Step-by-step explanation:

a pizzeria makes pizzas that are shaped as perfect circles, and measures pizza size by the diameter of a pizza. by surface area, approximately what percent larger is a 16-inch pizza than a 12-inch pizza?

Answers

Using the concept of percentage we get 16-inch pizza is 43.75% larger than a 12-inch pizza.

What is the percentage?

Percentage means out of hundred. A number that is expressed as a fraction of a hundred is called a percentage. Percentage change = Change in the value / Initial value.

Area of circle = π R²,

Where R is the radius of circle.

Given that size of a pizza is measured by its diameter and surface area.

Diameter of the first pizza = 16 inch

So its radius = 8 inch

Hence area = π×8²

= 64π

And the diameter of the other pizza = 12 inch

So, its radius = 6 inch

Hence its area = π×6²

= 36π

Now the difference in areas of Both the pizza = 64π - 36π

= 28π

Now percentage difference in areas of both pizzas = 28π×100)/64π%

= 2800/64

=43.75%

Hence, 16-inch pizza is 43.75% larger than a 12-inch pizza.

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Charlotte’s weekly paycheck is based on the number of hours worked during the week and on the weekend. If she works 13 hours during the week and 14 hours on the weekend, she earns $250.90. If she works 15 hours during the week and 8 hours on the weekend, she earns $204.70. How much more does Charlotte earn per hour on the weekends than she earns during the week? Round to the nearest cent.

$0.40
$1.90
$2.30
$8.10

Answers

The amount that Charlotte earn per hour on the weekends than she earns during the week is: C. $2.30.

How to find the earning per hour?

Number of dollars earn per hour during the week = x

Number of dollars earn per hour on the weekend =y

Formulate an equation

13x + 14y = 250.90  Equation 1

15x + 8y = 204.70 Equation 2

Solving  for x and y by multiply equation 1  by -8 and equation 2 by 14 -104x - 112y = -2007.20

210x +112y = 2865.80

106x             = 858.60

Divide both sides by 106x

x = 858.60/106

x =  $8.10

Substitute x into eq 1 so as to solve for y

13(8.10) + 14y = 250.90

105.30 + 14y = 250.90

Subtract 105.30 from both sides

14y = 145.60

Divide both side by 14y

y = 145.60 /14

y  = 10.40

Hence,

Additional earning per hour = y-x

Additional earning per hour = $10.40 - $8.10

Additional earning per hour=$2.30 per hours

Therefore the correct option is C.

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Given g(x)=x-4 and h(x)=2x-8use the graph shown to evaluate the composition (f•g)(0)

Answers

Answer:

(f ○ g)(0) = 3

Step-by-step explanation:

evaluate g(0) then substitute the value obtained into f(x)

g(0) means what is the value of g(x) when x = 0

from the graph g(0) = 2 , then

f(2) , that is what is the value of f(x) when x = 2

from the graph  f(2) = 3

then

(f ○ g)(0) = 3

Translation rule:​

(x, y)  (x + 2, y – 4)​

Either draw in the translated image or write down the new coordinates for the translated image​

Answers

Step-by-step explanation:

it is really simple :

every x is increased by 2, every y is decreased by 4.

C = (-4, 2) -> C' = (-2, -2)

R = (-5, -1) -> R' = (-3, -5)

T = (-1, 1) -> T' = (1, -3)

a fence is to be built to enclose a rectangular area of 310 square feet. the fence along three sides is to be made of material that costs 4 dollars per foot, and the material for the fourth side costs 14 dollars per foot. find the dimensions of the enclosure that is most economical to construct.

Answers

The dimension for the enclosure that is most economical to construct will be length=11.13 feet and width=27.85 feet.

What is area?

The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

A=l*b

=310

b=310/l

total cost=(8b+4l+16l)

=8b+20l

=8*310/l+20l

t=2480/l+20l

t'=20-2480/l²

t'=0

20l²=2480

l²=124

l=11.13 feet

b=310/11.13

b=27.85 feet

The enclosure's length and width, which add up to 11.13 feet and 27.85 feet respectively, will be the most cost-effective dimensions to build.

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The pages of a book are numbered consecutively from 1 to 100. What is the sum of all the digits used in numbering the pages of the entire book?

Answers

5050

Step-by-step explanation:

1+2+3+.....+100 add all the numbers and u get that

An element with a ma and of 200 gram decay by 12. 6% per minute. To the nearet minute, how long will it be until there are 30 gram of the element remaining

Answers

The time taken, to the nearest minute, by the element to decay until only 30 grams of it are left is 14 minutes.

An element with an initial mass of 200 gram, decays by 12.6% per minute. We need to find out, to the nearest minute, how long it took for the element to decay until only 30 grams were left.

In exponential decay, a quantity diminishes slowly at first and then rapidly. The exponential decay formula is used to calculate population decay (depreciation), and it may also be used to calculate half-life (the amount of time for the population to become half its size).

Let the initial mass, remaining mass, decay rate, and time taken be represented by the variables M, m, d, and t, respectively. We can form the equation given below.

m = M(1 - d)^t

30 = 200(1 - 0.126)^t

3/20 = (0.874)^t

Take the logarithm on both sides of the equation.

log(3/20) = t × log(0.874)

t = log(3/20)/log(0.874)

t = 14.087

t ≈ 14

Hence, the time taken, to the nearest minute, by the element to decay until only 30 grams of it are left is 14 minutes.

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a survey of a congressional race finds 52 percent of voters supporting candidate a and 48 percent supporting candidate b, with a 5 percent margin of error. given this information, we can say that:

Answers

Answer:

When you round the number to 5

Step-by-step explanation:

7.69 to the nearest whole number.

Answers

Answer: 8

Step-by-step explanation:

7.69 to the nearest whole number is 8

What is the constant of variation, k of the direct variation, y=kx,through (5,8)

Answers

Constant of variation, k of the direct variation is 8/5.

Equation -> y = kx

Point (x,y) = (5,8)

Putting the value in the equation,

8 = 5k

k = 8/5

Hence, k = 8/5.

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Given the linear function f(x) = -4x+8, what is the value of x if f(x) = 24?

Answers

Answer:

[tex]f(x) = - 4x + 8 = 24 \\ \\ = > - 4x + 8 = 24 \\ \\ => - 4x = 24 - 8 = 16 \\ = > - 4x = 16 \\ = > x = \frac{ - 16}{4} = - 4 \\ \\ [/tex]

Step-by-step explanation:

Sᴏ ᴛʜᴇ value of x= -4

x = -4

Step-by-step explanation:

Solution:-

[tex]{ \blue{ \sf{f(x) = - 4x + 8}}}[/tex]

In order to find the value of x, put 24 in the place of f(x) (given) then,

[tex]{ \blue{ \sf{24 = - 4x + 8}}}[/tex]

[tex]{ \blue{ \sf{24 - 8 = - 4x}}}[/tex]

[tex]{ \blue{ \sf{16 = - 4x}}}[/tex]

We should find the value of x. So divide bith the sides by -4. then,

[tex]{ \blue{ \sf{ - \frac{16}{4} = \frac{ - 4}{ - 4} x}}}[/tex]

[tex]{ \bold{ \boxed{ \red{ \sf{ -4 = x}}}}} \: (or) \: { \bold{ \boxed{ \red{ \sf{x = - 4}}}}}[/tex]

what finding the range of possible values for the length of missing side of a triangle means​

Answers

Answer:

range

Step-by-step explanation:

a scout group has a raffle to rasie money for charity there is 1 prize to be won in the raffle
laura buys 12 raffle tickets a total of 350 raffle tickets are sold
find the probability that laura does not win the prize

Answers

The probability that Laura does not win the prize is 119 / 175.

What is probability?

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

Total number of raffle rickets to be sold is 350.

The number of tickets bought by Laura is 12.

Since, the probability of an event is defined as the ratio of favorable outcome to the total outcomes, the probability of winning the prize is,

P = 12 / 350

Thus, the probability of not winning the prize is,

1 - 12 / 350

= 338 / 350

= 119 / 175

Hence, the probability of not winning a prize is 119 / 175.

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The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $22.25 for 25 pounds of laundry and $36.49 for 41 pounds of laundry. In words, describe the graph of the proportional relationship.

Answers

The required expression for the laundry service is y = 0.89x.

Given that,
The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $22.25 for 25 pounds of laundry and $36.49 for 41 pounds of laundry.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in a sense are they directly proportional or inversely proportional to each other.

here
Let the pound of laundry be x and the charge corresponding to the pound of the laundry be y.
According to the question,
y ∝ x
y = kx
Put x = 25 and y = 22.25
22.25 = k 25
k = 0.89
Put back k in the proportional equation,
y = 0.89x

Thus, the required expression for the laundry service is y = 0.89x.

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Answer:

Step-by-step explanation:

The required expression for the laundry service is y = 0.89x.

Given that,

The total cost for laundry service, in dollars, depends on the weight of the laundry, in pounds. This relationship is proportional, as it costs $22.25 for 25 pounds of laundry and $36.49 for 41 pounds of laundry.

What is proportionality?

proportionality is defined as between two or more sets of values, and how these values are related to each other in a sense are they directly proportional or inversely proportional to each other.

here

Let the pound of laundry be x and the charge corresponding to the pound of the laundry be y.

According to the question,

y ∝ x

y = kx

Put x = 25 and y = 22.25

22.25 = k 25

k = 0.89

Put back k in the proportional equation,

y = 0.89x

Thus, the required expression for the laundry service is y = 0.89x.

i have an algebra 2 question asking about this: is there any pair of numbers that multiply to 36 and add up to -7? the factors of 36 are (1, 36) (2, 18) (3, 12) (4, 9) (6, 6)

Answers

There are no pair of numbers that multiply to 36 and add up to -7

How to find the factors of 36?

The factors of number refers to any of various numbers multiplied together to form some whole. For instance, 3 is a factor of 12, as are 2, 4 and 6.

36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.

The pairs of factors of 36 that multiply to 36 are:

(1, 36) (2, 18) (3, 12) (4, 9) (6, 6)

From the pair of numbers above, none add up to -7

Therefore, there is no pair of numbers whose product is 36 and sum is -7

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Find an equation for the perpendicular bisector of the line segment whose endpoints are (4,−1) and (8,7).

Answers

Answer: [tex]y=-\frac{1}{2}x+6[/tex]

Step-by-step explanation:

The slope of the line segment is [tex]\frac{-1-7}{4-8}=2[/tex].

So, the slope of the perpendicular bisector is -1/2.

The midpoint of the line segment is [tex]\left(\frac{4+8}{2}, \frac{-1+7}{2} \right)=(6, 3)[/tex].

Thus, the equation is:

[tex]y-3=-\frac{1}{2}(x-6)\\\\y-3=-\frac{1}{2}x+3\\\\y=-\frac{1}{2}x+6[/tex]

each day for five days, you collect a sample of 200 buns coming out of a commercial oven. you record the number of burned buns in the table below. the standard deviation (sigma) is 0.025. what is the upper control limit? state your answer to two decimal places, for example 0.12

Answers

The upper limit is 0.79

The class interval's upper limit is its highest value. Similarly, the lower limit is the class interval's smallest value.

Given that n = 200 and standard deviation  σ = 0.025

σ = (√n/√n)  = 0.025

Now calculate p

P = defectives/total inspected

= 145/200

P = 0.72

Q= 1-p

= 1- 0.72

= 0.18

Now calculate the upper limit

UCL = p – (-3 x σ)

= 0.72 – ( -3 x 0.025)

= 0.72 – (-0.075)

= 0.72 + 0.075

= 0.795

= 0.79

Therefore the upper limit is 0.79

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Brian loves to bake blueberry muffins for his friends and family.
there is a proportional relationship between the volume of flour brian uses (in cups), x, and
the number of muffins he bakes, y.
10
9
8
7
9
s
s
3
2
2
s
9
00
9
10

Answers

For a proportional relationship between the volume of flour used (in cups), x, and the number of baked muffins, y, the constant of proportionality is 4.

Constant of proportionality, also known as constant ratio or constant rate, refers to is the ratio that relates two given values in a data set that is represented as a proportional relationship. When two parameters are proportional, either directly or indirectly, the relationship is expressed as a = kb or a = k/b, where k indicates the relationship between the two variables and is known as the proportionality constant. In the given data, the proportionality constant is:

k =b/a = 8/2 =12/3 = 16/4 = 20/4 = 4

Hence, the proportionality constant for the given data is 4.

Notes: The question is incomplete. The complete question is: Brian loves to bake blueberry muffins for his friends and family. There is a proportional relationship between the volume of flour brian uses (in cups), x, and the number of muffins he bakes, y. What is the constant of proportionality. (Refer to the table).

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a bank auditor claims that credit card balances are normally distributed, with a mean of $2870 and a standard deviation of $900. a) what is the probability that a randomly selected credit card holder has a credit card balance less than $2500? b) you randomly select 25 credit card holders. what is the probability that their mean credit card balance is less than $2500? c) compare the probabilities from a) and b).

Answers

(a) -0.255 is the probability that a randomly selected credit card holder has a credit card balance less than $2500. (b) You randomly select 25 credit card holders. 0.0228 is the probability that their mean credit card balance is less than $2500.

Let us pull out the critical elements

Population: Normally distributed with mean of 2870

population standard deviation = 900 standard deviation of the sample mean (standard error) is 900 / √25. or 180

As population sigma is known, we do not have apply any corrections

P(xbar < $2500) = ?    

Since μ and σ are known (population mean and standard deviation) we can use a simple Z test.

Ztest = (2500-2870 )/ 180  or -370/180 = -2.055

As this is very close to -2 one can use the rule of thumb for probability within ± 2 sigma  being 95.44% to get a close estimate.   If the area between -2 and 2 sigma = .9544 then the area outside = .0456.  Half of this (the amount under the curve LESS THAN -2) would be .0228

Using a calculator or computer for an exact answer we find (using a TI-83/86):

nmcdf(-9E6,2500,2870,180) = .0199

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Bert keeps honeybees on his farm. When he first started, he used a six frame beehive that have 40 pounds of honey. Now, he uses a 30 frame we have. It has the same ratio of frames to honey it’s a smaller behive.
How much honey does Burt‘s new beehive hold?

Answers

The amount of honey that Bert’s new beehive hold would be; 200.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given data that the Number of frame beehive = 6

The Pound of honey = 40

The Current Frame beehive = 30

First step is to formulate an equation and then use the formulated equation;

40 × 30 ÷ 6

Hence, 40 × 5

= 200 honey

Therefore, the number of honey would be; 200.

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