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almond37 [142]
3 years ago
12

Identify the expression as a numerical expression or a variable expression. For a variable expression, name the variable. 1 × 12

Mathematics
2 answers:
Mekhanik [1.2K]3 years ago
7 0
A. Numerical expression.
lara31 [8.8K]3 years ago
7 0

Answer:A numerical expression

Step-by-step explanation:

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A mass of 5 kg stretches a spring 10 cm. The mass is acted on by an external force of 10sin( t ) N(newtons) and moves in a mediu
yKpoI14uk [10]

Answer:

A) C1 = 0.00187 m = 0.187 cm,  C2 = 0.0062 m = 0.62 cm

B)  A sample of how the graph looks like is attached below ( periodic sine wave )

C) w = \sqrt[4]{3} is when the amplitude of the forced response is maximum

Step-by-step explanation:

Given data :

mass = 5kg

length of spring = 10 cm = 0.1 m

f(t) = 10sin(t) N

viscous force = 2 N

speed of mass = 4 cm/s = 0.04 m/s

initial velocity = 3 cm/s = 0.03 m/s

Formulating initial value problem

y = viscous force / speed = 2 N / 0.04 m/s = 50 N sec/m

spring constant = mg/ Length of spring = (5 * 9.8) / 0.1 = 490 N/m

f(t) = 10sin(t/2) N

using the initial conditions of u(0) = 0 m and u"(0) = 0.03 m/s to express the equation of motion

the equation of motion = 5u" + 50u' + 490u = 10sin(t/2)

A) finding the solution of the initial value

attached below is the solution and

B) attached is a periodic sine wave replica of how the grapgh of the steady state solution looks like

C attached below

3 0
3 years ago
What the answer to <br>-2v+8 (1+2v)=-90
dexar [7]

Answer:

v=2-2root7, v=2+2root7  

Step-by-step explanation:

-2v+8(1+2v)=-90

-2-4v^2+8+16v=-90

6-4v^2+16v=-90

-4v^2+16v=-96

v=2-2root7, v=2+2root7

4 0
3 years ago
Read 2 more answers
Gus purchases 18 apples and 45 pears for his friends. He wants to put the same amount of fruit in each bag. How many bags of fru
Anestetic [448]
Add apples to pears, getting 63, then find the square root which should be 7.937
4 0
3 years ago
A trail has markers every 1/8 mile. Jody starts at the 2 1/4 mile marker, hikes to the 4 3/8 marker, and then hikes back to the
vlada-n [284]
Yes I think so because she started at 2 1/4 then hiked to 4 3/8. That is roughly 2 miles and then from there she joked all the way back to 11/2? But I could be wrong?????
3 0
3 years ago
Help find the distance between two points?
miv72 [106K]

Answer:

4

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = B(0, 0) and (x₂, y₂ ) = (\frac{\sqrt{6} }{2}, \frac{\sqrt{58} }{2} )

AB = \sqrt{((\frac{\sqrt{6} }{2})^2 } + \{(\frac{\sqrt{58} }{2})^2 }

= \sqrt{\frac{6}{4} } + \frac{58}{4}

= \sqrt{\frac{64}{4} }

= \sqrt{16}

= 4

7 0
3 years ago
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