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3 years ago

What is measurement

Mathematics

2 answers:

tresset_1 [31]3 years ago

5 0

Answer:

Measurement is a comparison of an unknown quantity with a known fixed quantity of the same kind.

Step-by-step explanation:

Galina-37 [17]3 years ago

5 0

Answer:

the size, length, or amount of something, as established by measuring.

"his inseam measurement"

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A spring has natural length 0.75 m and a 5 kg mass. A force of 8 N is needed to keep the spring stretched to a length of 0.85 m.

I am Lyosha [343]

Use Hooke's law to find the spring constant. If it takes 8N to stretch the spring by 0.1m, then

$8\text{ N}=k(0.1\text{ m})\implies k=80\dfrac{\text N}{\text m}$

I'm going to assume the spring is fixed to a ceiling, and that any stretching in the downward direction counts as movement in the positive direction. The spring's motion is then modeled by

$y''(t)+80y(t)=0$

where $y(t)$ is the position of the spring's free end as it moves up and down. Solving this is easy enough: the characteristic solution will be

$y(t)=C_1\cos4\sqrt5t+C_2\sin4\sqrt5t$

Given that the spring is stretched to a length of 1m (a difference of 0.25m from its natural length), and is released with no external pushing or pulling, we have the two initial conditions $y(0)=\dfrac14$ and $y'(0)=0$ .

$y(0)=\dfrac14\implies\dfrac14=C_1\cos0+C_2\sin0\implies C_1=\dfrac14$
$y'(0)=0\implies 0=-4\sqrt5C_1\sin0+4\sqrt5C_2\cos0\implies C_2=0$

So the spring's motion is dictated by the function

$y(t)=\dfrac14\cos4\sqrt5t$

8 0

3 years ago

Solve and simplify 6 2/3 x 3 1 /2

sergeinik [125]

$6 \frac{2}{3} = \frac{2}{18} = 9$

$3 \times \frac{1}{2} = \frac{1}{6} = 6$

6×9=54

4 0

3 years ago

Helpppppppppppppppppppppppppppppp

morpeh [17]

Answer:

Step-by-step explanation:

The angle is reflected.

7 0

2 years ago

Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet

mina [271]

The parabolic motion is an illustration of a quadratic function

The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

<h3>How to model the function?</h3>

Given that:

x stands for time and y stands for height in feet

So, we have the following coordinate points

(x,y) = (5,0), (11,0) and (10,80)

A parabolic motion is represented as:

y =ax^2 + bx + c

At (5,0), we have:

25a + 5b + c = 0

c= -25a - 5b

At (11,0), we have:

121a + 11b + c = 0

Substitute c= -25a - 5b

121a + 11b -25a - 5b = 0

Simpify

96a + 6b = 0

At (10,80), we have:

100a + 10b + c = 80

Substitute c= -25a - 5b

100a + 10b - 25a -5b = 80

75a -5b = 80

Divide through by 5

15a -b = 16

Make b the subject

b = 15a + 16

Substitute b = 15a + 16 in 96a + 6b = 0

96a + 6(15a + 16) = 0

Expand

96a + 90a + 96 = 0

This gives

186a = -96

Solve for a

a = -16/31

Recall that:

b = 15a + 16

So, we have:

b = -15 * 16/31 + 16

b =-240/31 + 16

Take LCM

b =(-240 + 31 * 16)/31

[tex]b =256/31

Also, we have:

c= -25a - 5b

This gives

c= 25*16/31 - 5 * 256/31

Take LCM

c= -880/31

Recall that:

y =ax^2 + bx + c

This gives

y = -16/31x^2 + 256/31x - 880/31

Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

Read more about parabolic motion at:

brainly.com/question/1130127

7 0

2 years ago

Which rule describes the transformation? picture below

pochemuha

Answer:

Rotation

Step-by-step explanation:

The figure appears to have been rotated 180 degrees about the origin.

4 0

3 years ago

Read 2 more answers

What is measurement ​

What is measurement