Please look at the pic at tell me the answer please

A bucket is raised from a well by means of a rope which is wound round a wheel of diameter 77cm. Given that the bucket ascends i

VARVARA [1.3K]

Answer:

The wheel will make 40 revolutions.

Step-by-step explanation:

We are given;

Diameter = 77 cm = 0.77m

Radius = 0.77/2

Radius = 0.385 m

Speed = 1.1 m/s

time = 1min 28 sec = 88 sec

Now, we know that;

Distance = speed×time

Thus;

Distance = 1.1 × 88

Distance = 96.8 m

Also,

Number of revolution = distance/circumference

Number of revolutions = 96.8/(2 × π × 0.385)

Number of revolutions ≈ 40

4 0

4 years ago

An old campfire is uncovered during an archaeological dig. Its charcoal is found to contain less than 1/1000 the normal amount o

Lubov Fominskaja [6]

An old campfire is uncovered during an archaeological dig. Its charcoal is found to contain less than 1/1000 the normal amount of $^{14}\text{C}$ . Estimate the minimum age of the charcoal, noting that $2^{10} = 1024$

Answer:

57300 years

Step-by-step explanation:

Using the relation of an half-life time in relation to fraction which can be expressed as:

$\dfrac{N}{N_o} = (\dfrac{1}{2})^{\frac{t}{t_{1/2}}$

here;

N represents the present atom

$N_o$ represents the initial atom

t represents the time

$t_{1/2}$ represents the half - life

Given that:

Its charcoal is found to contain less than 1/1000 the normal amount of $^{14}\text{C}$ .

Then ;

$\dfrac{N}{N_o} = \dfrac{1}{1000}$

However; we are to estimate the minimum age of the charcoal, noting that $2^{10} = 1024$

so noting that $2^{10} = 1024$ , then:

$\dfrac{1}{1000}> \dfrac{1}{1024}$

$\dfrac{1}{1000}> \dfrac{1}{2^{10}}$

$\dfrac{1}{1000}> (\dfrac{1}{2})^{10}$

If

$\dfrac{N}{N_o} = \dfrac{1}{1000}$

Then

$\dfrac{N}{N_o} > (\dfrac{1}{2})^{10}$

Therefore, the estimate of the minimum time needed is 10 half-life time.

For $^{14}\text{C}$ , the normal half-life time = 5730 years

As such , the estimate of the minimum age of the charcoal = 5730 years × 10

= 57300 years

5 0

3 years ago

Solve for x<br> 6x + 9 < 63

ZanzabumX [31]

Answer:

x < 9

Step-by-step explanation:

Given inequality:

6x + 9 < 63

Subtract 9 from both sides:

⇒ 6x + 9 - 9 < 63 - 9

⇒ 6x < 54

Divide both sides by 6:

⇒ 6x ÷ 6 < 54 ÷ 6

⇒ x < 9

3 0

2 years ago

Read 2 more answers

G.O is going on a hike in the mountains on a hot summer day. He has 4/5 of water that he can split into 4 bottles. What fraction

vovangra [49]

I assume GO has 4/5 gallon of water.

If you want to split it equally into 4 bottles, you should do 4/5 /4.

Now simplify.

4/5/4=1/5

1/5 Gallon

3 0

4 years ago

Read 2 more answers

$25 is 10% of what number

gogolik [260]

Answer:

$250

Step-by-step explanation:

so to find out what you are looking for just take $25 divided by .10 (which is ten percent as a decimal) to get $250

6 0

3 years ago