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2 years ago

Can anyone help me out in my homework. I would love to talk about these problems

Mathematics

1 answer:

katen-ka-za [31]2 years ago

5 0

Step-by-step explanation:

(b) If $F_G = m_1g,$ then

$m_1g = G\dfrac{m_1m_2}{r^2}$

Note that $m_1$ cancel out so we get

$g = G\dfrac{m_2}{r^2}$

Solving for $m_2,$ we get

$m_2 = \dfrac{gr^2}{G}$

$F_G = G\dfrac{m_1m_2}{(2r)^2} = \dfrac{1}{4}\left(G\dfrac{m_1m_2}{r^2}\right)$

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Roberto decorates retangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 long and 1/3 foot wide. It

PilotLPTM [1.2K]

Answer:

It'll take him 1/4 hours to decorate the two signs.

Step-by-step explanation:

In order to know how long Roberto will take to decorate all the signs we need to find their surface area, since they're rectangular their area is given by the product of their dimensions.

First sign:

area1 = (2/3)*(1/4) = 2/12 = 1/6 foot²

Second sign:

area2 = (1/2)*(1/3) = 1/6 foot²

The total area he has to paint is the sum of their individual areas, so we have:

total area = area1 + area2 = 1/6 + 1/6 = 2/6 = 1/3 foot²

To find out how long he'll take to decorate this area we can use a rule of three as shown bellow:

3/4 hour -> 1 foot²

x hour -> 1/3 foot²

x = (3/4)*(1/3) = 1/4 hours

3 0

3 years ago

Miranda is packing eggs in cartons . Each carton holds 12 eggs. She already filled 3 cartons . How many more eggs does she need

Butoxors [25]

Answer:

carton = 12

12x17=204

miranda needs 204 more eggs to fill 17 egg cartons

5 0

2 years ago

Find the diameter and circumference of a circle with the radius of 13.1 km.

Alexandra [31]

R = 13.1
so
<span>diameter = 13.1 x 2 = 26.2 km
</span>circumference = 2 pi r = 26.2 pi km
or
circumference = 26.2 x 3.14 = 82.27 km

4 0

2 years ago

Riley is planning to plant a lawn in his yard. He will need 9 pounds of grass seed. He wants to mix Bermuda seed that costs $4.8

tankabanditka [31]

Given that total number of pounds of grass seed needed = 9

Let number of pounds of Bermuda seeds used = x

Let number of pounds of Fescue seeds used = y

Then sum of both gives equation:

x+y=9

or y=9-x...(i)

Given that cost of 1 pound of Bermuda seed = $4.80

Then cost of x pound of Bermuda seed = $4.80x

Given that cost of 1 pound of Fescue seed = $3.50

Then cost of y pound of Fescue seed = $3.50y

total cost will be 4.80x+3.50y

Given that cost of 1 pound of mix seed = $4.02

Then cost of 9 pound of mix seed = $4.02*9

combining all three parts, we get equation:

4.80x+3.50y=4.02*9

4.80x+3.50y=36.18...(ii)

plug (i) into (ii)

4.80x+3.50y=36.18

4.80x+3.50(9-x)=36.18

4.80x+31.5-3.50x=36.18

4.80x-3.50x=36.18-31.5

1.3x=4.68

x=3.6

Now plug x=3.6 into (i)

y=9-x=9-3.6=5.4

Hence final answer is given by:

Let number of pounds of Bermuda seeds he should buy = 3.6 pounds

Let number of pounds of Fescue seeds he should buy = 5.4 pounds

5 0

3 years ago

Hotels, like airline, often overbook, counting on the fact that some people with reservations will cancel at the last minute. A

agasfer [191]

Answer: The required probability is 0.334.

Step-by-step explanation:

Since we have given that

N = 15 reservations

probability of reservations will not be used = 0.2

probability of reservations will be used = 1-0.2=0.8

Let X be the Binomial variable,that the number of reservations canceled.

We need to find the probability that more than 8 but less than 12 reservations.

So, it becomes,

$P(8$

Hence, the required probability is 0.334.

6 0

2 years ago

Read 2 more answers

Can anyone help me out in my homework. I would love to talk about these problems ​

Can anyone help me out in my homework. I would love to talk about these problems