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3 years ago

I need help with this math 50 points if you get is right

Mathematics

1 answer:

almond37 [142]3 years ago

6 0

Answer: 8

Explanation:

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The gravitational force exerted by the planet Earth on a unit mass at a distance r from the center of the planet is:

jolli1 [7]

Answer:

Yes, F is a continuous function of r

Step-by-step explanation:

We are given that

When r<R

$F(r)=\frac{GMr}{R^3}$

$r\geq R$

$F(r)=\frac{GM}{r^2}$

Where M=Mass of the earth

R=Radius of earth

G=Gravitational constant

We have to find the function is continuous of r or not.

LHL

$\lim_{r\rightarrow R-}\frac{GMr}{R^3}=\frac{GMR}{R^3}=\frac{GM}{R^2}$

RHL

$\lim_{r\rightarrow R+}\frac{GM}{R^2}=\frac{GM}{R^2}$

$F(R)=\frac{GM}{R^2}$

When a function is continuous at x=a

Then, LHL=RHL=f(a)

RHL==LHL=F(R)

Hence, the function is continuous of r.

8 0

3 years ago

Are you able to write?

Volgvan

Answer:

Well isn't anyone able to write?

3 0

3 years ago

Read 2 more answers

The 4-inch radius pizza for $3 or the 8-inch radius pizza for $14.<br> 112

omeli [17]

Buy how many ever u want of the 4 inch it is a better deal

4 0

3 years ago

Karl wants to rent a bike for at most $55. He can rent a bike for $7 per hour plus a $9.50 flat fee. Any portion of an hour is c

Papessa [141]

Answer 6 hours
Reason
7x + 9.50 = 55
-9.50. -9.50 subtract from both sides
_____________
7x = 45.50

Divide both sides by 7 to isolate x
X = 6.5
So he can rent for 6 hours (the .5 would be charged as a full hour per the problem)

5 0

2 years ago

During a promotional event a sporting good store gave a free t-shirt every eighth customer and a free water bottle every 10th cu

liq [111]

Answer:

40th customer

Step-by-step explanation:

Given that there is a promotional event

A sporting good store gave t shirt and free water bottle.

T shirt was given to 8th customer and water bottle to every 10th customer.

For the first person who should get both, he should have number as least common multiple of 8 and 10

8 = 2x2x2

10 = 2x5

Hence least common denominator = 2x2x2x5 = 40

Thus 40th customer will be the first to get both.

5 0

3 years ago