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Len [333]
3 years ago
11

What forms do the equations of motion for an idealized string take if either (a) the linear density varies with position, or (b)

the string hangs vertically supported only at the upper end?

Mathematics
1 answer:
stepan [7]3 years ago
7 0

Answer:

a) the varying densities are to be considered with respect to position

Step-by-step explanation:

the complete answer is found in the attachment

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Anis completed a journey of 4.5 km by walking for 30 minutes at
iris [78.8K]

Answer:

speed=d/t

let him cover x distance while walking

running d=4.5-x

s1=x/0.5 km/hr....(1)

s2=4.5-x//5/12.....(2)

atq.....s2=2+s1

s1=2x

s2=54-12x/5

by eqn 1 and 2

s1+s2=2x+54-12x/5

putting value of s2

s1+2+s1=2x+54-12x/5....taking LCM =5

10s1+10= 10x+54-12x

as s1=2x

10s1+10= -2x+54

10s1+10=-s1+54

11s1=44

speed when walking=4km/hr

5 0
2 years ago
Kari is saving money to buy a car. To purchase the car that she wants she will need to have at least a $5000 down payment. If Ka
ad-work [718]

Answer:

C )   She needs to save AT LEAST  20 months

Step-by-step explanation:

Half of her income each month  is $250

m= months

250m ≥ 5000

m≥ 20

6 0
2 years ago
In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushel
Liula [17]

Answer:

Option A is correct.

y = 35.4 bushels per acre when rainfall = 7.1 inches

Step-by-step explanation:

An image of the steps to obtain the equation that relates x to y is attached to this answer.

n = number of variables = 9

μₓ = mean of variable x (rainfall in inches)

μᵧ = mean of variable y (yield in bushels per acre)

σₓ = standard deviation of variable x (rainfall in inches)

σᵧ = standard deviation of variable y (yield in bushels per acre)

y = 4.379x + 4.268

when x = 7.1

y = 4.379(7.1) + 4.268 = 35.3589 = 35.4 bushels per acre.

7 0
3 years ago
The length of a rectangle is 5 cm longer than its width.
blondinia [14]

Equation To write :2 {x+ ( x+5) }=30

Let's solve your equation step-by-step.

2(x+x+5)=30

Step 1: Simplify both sides of the equation.

2(x+x+5)=30

(2)(x)+(2)(x)+(2)(5)=30(Distribute)

2x+2x+10=30

(2x+2x)+(10)=30(Combine Like Terms)

4x+10=30

4x+10=30

Step 2: Subtract 10 from both sides.

4x+10−10=30−10

4x=20

Step 3: Divide both sides by 4.

4x

4

=

20

4

x=5

So... x+5=10.

Area =5x10=50 cm squared.

4 0
3 years ago
Read 2 more answers
A tree casts a shadow 21m long. The angle of elevation of the sun is 55 degrees. What is the height of the tree?
Orlov [11]

Answer:

The height of the tree is about 30 feet.

Step-by-step explanation:

tan(55) = h/21

*21          *21

21*tan(55)=h

29.99=h

h=29.99=30 feet

4 0
3 years ago
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