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faltersainse [42]
2 years ago
5

Kara wants to make a histogram of the number of students who wear blue shirts in her class throughout the week. She gathered the

following information: Day 1 4 students Day 2 9 students Day 3 5 students Day 4 7 students Day 5 6 students What data would be on the horizontal axis?
Mathematics
1 answer:
sammy [17]2 years ago
6 0

Answer

Days

Step-by-step explanation:

Then number of blue shirts worn on the vertical

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A ferris wheel is 15 meters in diameter and boarded from a platform that is 4 meters above the ground. The six o'clock position
givi [52]

The equation for h = f(t) will be, ⁣\rm h(t)=7.5sin({\pi}t-\frac{\pi}{2})+12.5.

<h3>What is a function?</h3>

A connection between independent variables and the dependent variable is defined by the function. Functions help to represent graphs and equations.

The given data in the problem is;

Ferris wheel diameter,d= 15 meters

The platform is 5 m above the ground.

The Ferris wheel function is;

h(t) = A sin(Bt + C) + D

Here,

A is Amplitude

D is the midline

B is period

C is a phase shift

t is the time

The amplitude of the function is half of the diameter;

A = d/2

A=15 m /2

A = 7.5 m

The value of the mid-line is found as;

Mid-line =  amplitude  + distance from the mid-line;

D= 7.5 + 5

D = 12.5

From the given data, the wheel completes 1 full revolution in 2 minutes

The period of the wheel is T.

B = 2

The phase shift is found as;

\rm \frac{C}{\pi}=\frac{-1}{2}\\\\ {C}=\frac{-\pi}{2}

The Ferris wheel function is;

h(t) = A sin(Bt + C) + D

Substitute the obtained values we get;

\rm h(t)=7.5sin({\pi}t-\frac{\pi}{2})+12.5

Hence, the equation for h = f(t) will be, ⁣\rm h(t)=7.5sin({\pi}t-\frac{\pi}{2})+12.5.

To learn more about the function, refer to the link brainly.com/question/12431044.

#SPJ1

3 0
1 year ago
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