Mathematics, 04.10.2020 06:01 lunax7x7

According to the law of conservation of momentum, what is the momentum of the object after the collision?4,500 g · m/s1,750 g · m/s1,500 kg · m/s3,000 kg · m/s

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Answer from: Quest

i cant see the graph

step-by-step explanation:

Answer from: Quest

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.

Answer from: Quest

45.36 feet per second.

step-by-step explanation:

to find the most accurate determination for the number of feet per second tyrone traveled on his way to work let us convert miles to feet and minutes to seconds.

1 mile = 5280 feet.

$30\text{ miles}=(30\times 5280)\text{ feet}$

$30\text{ miles}=158400\text{ feet}$

1 minute = 60 seconds.

$58.2\text{ minutes}=58.2\times 60\text{ seconds}$

$58.2\text{ minutes}=3492{ seconds}$

now we will divide 158400 by 3492 to find the most accurate determination for the number of feet per second tyrone traveled on his way to work.

$\text{tyrone traveled on his way to work}=\frac{158400}{3492}\cdot\frac{\text{feet}}{\text{second}}$

$\text{tyrone traveled on his way to work}=45.3608247422680412\cdot\frac{\text{feet}}{\text{second}}$

$\text{tyrone traveled on his way to work}\approx 45.36\cdot\frac{\text{feet}}{\text{second}}$

therefore, tyrone traveled on his way to work at the rate of 45.36 feet per second.

Answer from: Quest

step-by-step explanation:

total income = price of one ticket * number of tickets sold

y = 4 x

so the equation is y=4x with x≥0 because number of tickets sold can not be negative

thus the equation is a semi -line with an end point at

(0,0)

passing through :

x=1 y=4(1) = 4 so through (1,4)

Tickets for the school play sell for $4 each. which graph shows the relationship between the number

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