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Elina [12.6K]
3 years ago
5

the ages of student volunteers at an event are 13, 11, 12, 15, 16, 11, 12, 14, , and 11. find the range age of students​

Mathematics
1 answer:
12345 [234]3 years ago
7 0

Answer:

11-16 is the range

Step-by-step explanation:

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Lucy separates a number of paintbrushes, x, into 2 equally sized groups. She claims that this is the same as making a group 1/2
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Answer:

x/2 = 1/2x

Step-by-step explanation:

# of paintbrushes/ 2 piles = 1/2 # of paintbrushes

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find a model for simple harmonic motion if the position at t = 0 is 6, the amplitude is 6 centimeters, and the period is 4 secon
Y_Kistochka [10]

Answer:

y = 6cos(π/2)t

Step-by-step explanation:

Given in the question that,

in a simple harmonic motion in which

at t=0 the amplitude is 6 cm, so the simple harmonic motion will be in cosine form. As in case of sine function, the value of function at t=0 is 0.  

And,

the period is given as 4 sec

We know that model equation of simple harmonic motion is

<h3>y = a. cosb(t + c) + d</h3>

here,

a is amplitude

c is Horizontal shift or phase shift

d is Vertical shift

<h3>Step1</h3><h3>Find b</h3>

Period = 2 π / b

4 = 2π / b

b = 2π/4

b = 1π/2

<h3>Step2</h3><h3>Find shifts</h3>

Horizontal and vertical shifts are 0.

So, c = 0 and d = 0

<h3>Step3</h3><h3>Plug those values in the above in the equation</h3>

y = 6cos π/2 (t + 0) + 0

y = 6cos(π/2)t

4 0
4 years ago
Determine which of the following terms is a function: a. (1,2) (2,4) (3,5) c. (1,2) (2,4) (2,6) b. (1,2) (2,3) (1,5) d. (1,2) (3
Komok [63]
In a function, X does not repeat.
Your answer is A.

<span>a (1,2) (2,4) (3,5)
</span>there are different x values for
each point, so this IS A FUNCTION.
<span>
b. (1,2) (2,3) (1,5)
</span>there are two values of x being 1,
so this is NOT A FUNCTION.

<span>c. (1,2) (2,4) (2,6) 
</span>there are two values of x being 2
so this is NOT A FUNCTION.
<span>
d. (1,2) (3,5) (3,7)</span>there are two values of x being 3,
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hope this helps and have a great day!
4 0
3 years ago
The table shows ordered pairs of the function . What is the value of y when ?
LiRa [457]

Answer:

(B) -8

Step-by-step explanation:

Given the 2-column table below:

\left|\begin{array}{c|c}x&y\\--&--\\-3&14\\-1&10\\1&6\\4&0\\8&?\\10&-12\end{array}\right|

Taking the pair (-3,14) and (-1,10)

Slope, m=\dfrac{10-14}{-1-(-3)} =\dfrac{-4}{2} =-2

Taking the pair (1,6) and (4,0)

Slope, m=\dfrac{0-6}{4-1} =\dfrac{-6}{3} =-2

Since the slope is constant, the table represents a linear function whose slope is -2. Therefore:

Taking the pair (8,y) and (4,0)

Slope, m=\dfrac{0-y}{4-8} =-2

\dfrac{-y}{-4} =-2\\y=-2*4=-8

Therefore, the value of ? on the y-column is -8.

3 0
4 years ago
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