The Niagara Falls ferris wheel has a diameter of 48 meters, and one revolution takes 2.25 minutes to complete. Riders can see Niagara falls if they are higher than 41 meters above the ground. What are the time intervals when the rider can see Niagara Falls if they complete 3 complete revolutions, if the rider gets on at a height of 0.5 m at t=0 min?

Answers

Answer 1

The time intervals when the riders could see Niagara falls are; 0.834 < t < 1.416 and (3.084, 3.666)

How to interpret Cycle Graphs?

From the diagram attached, we can say that;

Period = 2π/k

where;

k = 2π/2.25

k = 8π/9

Thus;

h(t) = -(48/2) cos (8π/9)t + ((48/2) + 0.5)

h(t) = -24cos (8π/9)t + 24.5

Riders can see Niagara falls if they are higher than 41 meters above the ground. Thus;

41 = -24cos (8π/9)t + 24.5

41 - 24.5 = -24cos (8π/9)t

16.5 = -24cos (8π/9)t

-0.6875 = cos (8π/9)t

cos⁻¹0.6875 = (8π/9)t

t = 0.834 min

Thus, time interval is between;

0.834 < t < (2.25 - 0.834)

⇒ 0.834 < t < 1.416 and

(2.25 + 0.834) < t < (2.25 + 1.416)

⇒ (3.084, 3.666)

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The Niagara Falls Ferris Wheel Has A Diameter Of 48 Meters, And One Revolution Takes 2.25 Minutes To

Related Questions

four points are always coplanar if they: check all that apply.
A. lie in the same plane
B. lie on different lines
C. lie on different planes
D. lie on the same line

Answers

Answer:

B. lie on different lines

Step-by-step explanation:

What is the solution for x in the equation?

-2x + 14 + 10x = 34

A.

B.

C.

D.

Answers

Answer: 2.5

Step-by-step explanation:

-2x + 14 + 10x = 34

8x + 14 = 34

8x = 34 - 14

8x = 20

x = 20/8

x = 5/2

x = 2.5

Combine the like terms first
14 +8x =34
Subtract 14 both sides
8x = 20
Divide both sides by 8
x = 20/8
Reduce
x= 5/2
x = 2 1/2 or 2.5

A patient has been prescribed 1 gram (g) of Drug A. The stock dose is available in 250 milligram (mg) tablets. How many tablets would you administer per dose?

Answers

The number tablets per dose of drug A to be administered on the patient is 4 tablets

Quantity conversion

1 gram = 1000 milligram

Drug A provided = 1 gramDose = 250 milligram

Number of tablets to administer = Drug A provided / Dose

= 1 gram / 250 milligram

= 1000 milligram / 250 milligram

Number of tablets to administer = 4 tablets

Therefore, the number tablets per dose of drug A to be administered on the patient is 4 tablets

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Determine whether the two lines are parallel, perpendicular, or neither.
4x + 5y = 2
4x + 5y = 4

Answers

Answer:

Step-by-step explanation:

slope is same so they are parallel.

pls help
tomorrow exam that's why

Answers

Answer:

Step-by-step explanation:

a) Four points

        A, T , B , U

b) A ray has a fixed starting point but no end point. It extends infinitely in one direction

      PA  ;  PB  ; QT ; QU

c) A line segment  is a part of a line that is bounded by two distinct end points.

  PQ , PR

d) Parallel lines are two lines in the same plane that are at equal distance from each other and they never intersect.

AP // TQ  and PB // QU

e) Two or more lines which share exactly one common point are called intersecting lines.

AB &  PQ

f) ∠QPB  and ∠BPR

The perimeter of a rectangle with length l and width w is 44 inches. The area of the rectangle is at most 120.
Which of the following statements is true?
A. If w 12 inches, then l 10 inches
B. If w 12 inches, then l 10 inches
C. If w 12 inches, then l 10 inches
D. If w 12 inches, then l 10 inches

Answers

The true statement about the rectangle  is A. If w is 12 inches, then l is 10 inches

How to determine the true statement?

The given parameters are:

Perimeter, P = 44Area = 120 (at most)

The perimeter of a rectangle is:

P = 2(L + W)

So, we have:

2(L + W) = 44

Divide by 2

L + W = 22

The area is calculated as:

A = LW

This gives

LW = 120

Express 120 as 12 * 10 and 10 * 12

LW =12 * 10 or LW = 10 * 12

By comparison, we have:

L = 12 and W = 10 or L = 10 and W = 12

When these values are substituted in L + W = 22, we have:

10 + 12 = 22 and 12 + 10 =22

This means that the dimensions of the rectangle are 10 by 12 inches or 12 by 10 inches

Hence, the true statement is A. If w is 12 inches, then l is 10 inches

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Answer: for short its a

Step-by-step explanation:

7) $72.45 -28.98 Rounded estimate​

Answers

Answer:

$43

Step-by-step explanation:

$72.45 can be rounded down to $72.00

$28.98 can be rounded up to $29.00

$72-$29= $43

Need help with this question p

Answers

Answer:

4x² + 12x + 9

Step-by-step explanation:

Using identity:

(a +b)² = a² + 2ab + b²

Here, a = 2x  & b = 3

(2x +3 )² = (2x)² +  2*2x*3 + 3²

              = (2x*2x)  + 12x + 3*3

             = 4x² + 12x + 9

describe in detail how you would create a number line with the following points:3, 2.25, the oppisite of 4 and- (-1 1/2). please be sure to describe on which tick marks each point is plotted and how many tick marks are between each iteger. it may help for you to draw this number line by hand on a sheet of paper pls answer NO WRONG ANSWERES

Answers

Answer:

here man that's the answer

Use long division method to solve & following.
5 on 8

Answers

Answer:

0.625

Step-by-step explanation:

your grade.
Find y. Give your answer in
the simplest form.
X
60°
y = [?]
2√3
Enter the number that belongs in
the green box.

Answers

Answer:

y=3

Step-by-step explanation:

trust me bro

ORDER OF OPERATIONS.
Simplify each expression using the order of operations.

Answers

Answer:

PEMDAS.

1. PARENTHESIS

2. EXPONENTS

3. MULTIPICATION

4. DIVISION

5. ADDITION

6. SUBTRACTION

Follow the steps of BEDMAS:

B = Brackets

E = Exponents

D = Division

M = Multiplication

A = Addition

S = Subtraction

Let's try 1) with these steps.

5 - 6 + 2(3)

We can see there are brackets. When a number is placed near a bracket, it means we need to multiply.

2 x 3 = 6

Let's check our expression.

5 - 6 + 6

We can see that there is addition and subtraction. When we have addition and subtraction together we can solve left to right. The same applies to multiplication and division.

So let's solve the rest of it.

5 - 6 = -1

-1 + 6 = 5

5 is the answer to 1).

Now I hope you can solve the rest accordingly with my help. If you are in a time constraint or genuinely don't feel like doing math, understandable. In that case, simply use any online scientific calculator :)

Good Luck!!!

please please help! i need to submit in 15 minutes!!!

Answers

Answer:

Step-by-step explanation:

I need the question to answer please :)

A number is doubled, then decreased by $13.7$. The result is greater than $125.28$. What is the smallest integer that satisfies this condition?

Answers

let's say the number is "a", so

[tex]\stackrel{doubled}{2a}~~ \stackrel{decreased}{-} ~~\stackrel{by~this~much}{13.7} ~~ \stackrel{greater~than}{ > } ~~ 125.28 \\\\\\ 2a > 125.28-13.7\implies 2a > 111.58\implies a > \cfrac{111.58}{2}\implies a ~~ > ~~ 55.79[/tex]

Answer:

56

Step-by-step explanation:

WHAT IS THE RATIO OF CIRCLES TO SQUARES

Answers

Answer: 10x2π:36x2

Explanation: So the area of the circle is πr2=10x2π. So the ratio of the area of the circle to the area of the square is 10x2π:36x2, which is equivalent to 5π:18, as required.

Find the mean, μ, for the binomial distribution with n = 48 and p = 3/5. Round your answer to the nearest hundredth. A) μ = 29.7 B) μ = 3.4 C) μ = 48.6 D) μ = 28.8Find the mean, μ, for the binomial distribution with n = 48 and p = 3/5. Round your answer to the nearest hundredth.
A) μ = 29.7 B) μ = 3.4
C) μ = 48.6 D) μ = 28.8

Answers

The mean of the binomial distribution is (d) μ = 28,8

How to determine the mean?

The given parameters of the binomial distribution are given as:

n = 48 and p = 3/5

The mean is then calculated using:

μ = np

This gives

μ = 48 * 3/5

Evaluate

μ = 28,8

Hence, the mean of the binomial distribution is (d) μ = 28,8

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What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? m Y 1 77](V₂ − V₁] + V₁ m+n -8 -5 0 6​

Answers

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

How to carry out division of line segments?

From the attached line segment graph, we see the coordinates as;

J (1, -10) and K (7, 2)

Let us assume that, point L divides the directed line segment from J to K into a ratio of 5:1.

From the properties of coordinate geometry we know that, the coordinates of point that divides the line joining (x₁, y₁), (x₂, y₂) in m:n, are;

[(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]

Plugging in the relevant values gives;

[(5 * 7 + 1 * 1)/(5 + 1)], [(5 * 2 + 1 * -10)/(5 + 1)]

⇒ (6, 0)

Therefore, the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

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Answer:

c. 0

Step-by-step explanation:

What is the mass of 35 moles of CO₂?

Answers

Carbon is 12 m/g
Oxygen is 16 m/g
1 mole CO2 = 12+32=44
44.35=1540

Can someone help with this? I don't understand how to find the answer

Answers

Center (1,4)
Hope this helps!

An internet cafe charges $3.75 to use a computer and $.45 per minute while accesing the internet. What function rule describes this situation?

Answers

Answer:

y = $3.75(x)  + .45$

Step-by-step explanation:

Take the input and subsitute

3 quick questions 28 points

Answers

For the first image, I would recommend using Desmos; it is an online graphing calculator. You can find it on online and it is free; I use it all the time for my school work

I would input each function and sees which one matches the image on the test.

As for the second image, I believe the answer is C; x is greater than or equal to -1.

For the third and last image, I believe the answer is A; x is less than -1.

I hope this helps .

a teacher gets a bag of lollipops for her class. She buys a large bag of 84 lollipop. If she wants each child to have 3 lollipops how many students must be in her class?

Answers

If she buys 84 lollipops and each student wants three the she has 28 students.
84 ➗ 3 = 28
28 x 3 = 60 + 24 = 84

Big Brothers, Inc. borrows $267,999 from the bank at 18.16 percent per year, compounded annually, to purchase new machinery. This loan is to be repaid in equal annual installments at the end of each year over the next 10 years. How much will each annual payment be?

Round the answer to two decimal places.

Answers

Based on the amount borrowed and the interest per year, Big Brothers, Inc will pay an annual payment of $59,973.15.

How much will Big Brothers, Inc. pay annually?

This can be found by using the present value of an annuity formula because the annual payment will be constant and therefore like an annuity.

Formula is:

Present value of annuity = Annual payment x ( 1 - (1 + rate) ^ -number of periods) / rate

Solving gives:

267,999 = Amount x ( 1 - ( 1 + 18.16%)⁻¹⁰) / 18.16%

267,999 = Amount x 4.46865

Amount = 267,999 / 4.46865

= $59,973.15

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Which equation matches the graph of the greatest integer function given
below?

Answers

Answer:

B

Step-by-step explanation:

Hope this will help on the problem

help me to solve maths​

Answers

Answer:

9. 105/-21 = -5

10. -5 + 11 = 6

11. 368 x -16 = -5888

12. To prove this you don't need the integers provided, you can just expand out the first one. a x (b + c) = (a x b) + (a x c)

12(5-5)+3x5 evaluate the expression

Answers

Answer:

Using PEMDAS we can see that P or parenthesis is first so we would subtract 5 from 5 in the beginning.  That would result in a 0 which would then get multiplied with 12 to still have 0.

[tex]12(5-5) + 3 * 5[/tex]

[tex]12(0) + 3 * 5[/tex]

[tex]0 + 3 *5[/tex]

Now that we completed that part, the only thing that we have left to do is to multiply the last two numbers, 3 and 5.

[tex]3*5[/tex]

[tex]15[/tex]

Therefore, our final solution is 15.

Hope this helps!

Among black respondents to the 2008 GSS, 167 had no small children at home, and 44 did have small children at home. Among those black respondents who had no small children at home, 62 of them had been to a zoo in the past year. Among those black respondents who did have small children at home, 23 of them had been to a zoo in the past year. Build a crosstab with these results, percentage it, run a chi-square test, and explain your results.

Answers

Answer:

Step-by-step explanation:

13 × (11 + 11) - (4 × 17) - 6 = X​

Answers

Answer: 212

Step-by-step explanation:

13 * 22 - 68 - 6 = X

286 - 68 - 6 = X

286 - 74 = X

X = 212

Write the expression in standard form. (2 points) seven divided by quantity three minus fifteen i.

Answers

Answer:

[tex]\displaystyle \frac{7}{3-15i}=\frac{7}{78}+\frac{35}{78}i[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{7}{3-15i}\\\\\frac{7}{3-15i}*\frac{3+15i}{3+15i}\\\\\frac{21+105i}{9-225i^2}\\\\\frac{21+105i}{9+225}\\\\\frac{21+105i}{234}\\\\\frac{21}{234}+\frac{105}{234}i\\ \\\frac{7}{78}+\frac{35}{78}i[/tex]

What are m∠1 and m∠2?

Answers

Answer:

B. <1 = 35, m<2 = 30

Step-by-step explanation:

To figure out m<1 I first need to figure out the other missing angle. A straight line is a 180 degree angle. Taking that information you can do 180 - 115. This means that the missing angle is 65 degrees. The interior angles of triangles always add up to 180.

80 + 65 = 145

180 - 145 = 35

<1 = 35

Repeat with the other side.

85 + 65 = 150

180 - 150 = 30

<2 = 30

Hope this helps!

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