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3 years ago

Find the constant of variation for the relationship shown in the following table:

1 answer:

5 0

In order to get the constant of variation, you can either make a linear equation that relates x and y in which the slope is the constant of variation

LINEARIZING

x = 3y

the slope of the equation is 3 and therefore the constant of variation is 3

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A spinning giant star of initial radius R1 and angular speed ω1 suddenly collapses radially inward reaching a new radius R2 = 0.

tiny-mole [99]

Answer:

K1/K2=4

Step-by-step explanation:

The kinetic energy of a rotating sphere is given by:

$K=\frac{I*\omega^{2} }{2}$

The moment of inertia of a solid sphere is given by

$I=\frac{2MR^{2} }{5}$

The initial kinetic energy is therefore

$K_1=\frac{2MR^{2}*\omega^{2} }{10}$

$K_1=\frac{MR_1^{2}*\omega^{2} }{5}$

The final kinetic energy is given by

$K_2=\frac{MR_2^{2}*\omega^{2} }{5}$

Therefore the relation K1/K2 if R2 = 0.5R1

$\frac{K_1}{K_2} =\frac{5M(R_1)^{2}*\omega^{2} }{5*M(0.5R_1)^{2} \omega^{2}}$

The text says nothing about the final angular velocity just the collapse of the collapse of the radius

$\frac{K_1}{K_2} =\frac{1 }{(0.5)^{2} }=4$

3 0

3 years ago

if mr sulivan drove 7hrs within 385 miles and then he drives 3 hrs in the distance of 165 miles is the amount of time of the two

ehidna [41]

the amount of time of the two trips is a proportional relationship

<h3>What is proportional relationship?</h3>

mathematical expressions are said to be proportional if there unit rate are equal. this means that the expressions will give similar results when similar values are substituted into the equation.

<u>solution:</u>

Driving 7 hrs within 385 miles represents a unit rate of 385 / 7 = 55 miles per hour or 55 mph

while 3 hrs in 165 miles represents a unit rate of 165 / 3 = 55 mph

since both situations gave similar speed in miles per hour they are said to have a proportional relationship.

Read more on proportional relationship here: brainly.com/question/12242745

#SPJ1

6 0

1 year ago

Determine whether the following sequence is arithmetic, geometric, or neither.

ella [17]

<h3>Answer: Geometric</h3>

===============================================

Explanation:

To go from term to term, we are multiplying by 2

-7 * 2 = -14

-14 * 2 = -28

-28 * 2 = -56

This means the common ratio is 2 and this sequence is geometric.

---------

Alternatively, you can divide each term by its prior term

-56/(-28) = 2

-28/(-14) = 2

-14/(-7) = 2

Each time we get the same result showing the common ratio is 2.

4 0

3 years ago

Read 2 more answers

Which ratio shows tangent if angle A.

Alexandra [31]

Answer:

8/15

Step-by-step explanation:

tangent = opposite/adjacent,

so tan(A) = 8/15

6 0

3 years ago

Joe went to watch the Quakes play baseball at Epicenter stadium in Rancho Cucamonga. While he enjoyed the game, he also purchase

anzhelika [568]

Answer:

a) True

b) True

c) False

d) True

Step-by-step explanation:

A discrete variable is the one where the values taken by it are possible to count (usually the values are natural numbers)

On the other side, a continuous variable is the one that has an uncountable number of values. (usually the values are real numbers)

Considering these definitions we get:

a)The batting average of Joe’s favorite player is a continuous variable: True, this average can take any number among the real numbers.

b) The number of hot dogs that Joe bought is a discrete variable: True, Joe can only buy 1, 2, 3, 4... hot dogs, this set is countable and therefore is a discrete variable.

c) The number of strikeouts in the game is a continuous variable: False, the strikeouts are natural numbers (1, 2, 3, 4...) and therefore are countable and they are a discrete variable.

d) The Quakes standings in the league is a discrete variable: True. The standing of a team in a league is a discrete variable since it can be 1st place, 2nd place... and therefore it's countable.

4 0

3 years ago