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1 year ago

Which one of these is the easiest to obtain energy from?: a candle a lamp

Mathematics

1 answer:

torisob [31]1 year ago

8 0

I’m pretty sure it’s a candle but I’m not 100% sorry if I’m wrong!!!

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A construction crew has just finished building a road. the road is 8 kilometers long. if the crew worked for 335 days, how many

elena-s [515]

8/335 km/day
hope this helps

7 0

2 years ago

Gravel is being dumped from a conveyor belt at a rate of 20 ft3 /min and its coarseness is such that it forms a pile in the shap

pantera1 [17]

Answer:

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

i.e $\dfrac{dV}{dt}= 20 \ ft^3/min$

we know that radius r is always twice the diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

$V = \dfrac{\pi r^2 h}{3}$

$V = \dfrac{\pi (h/2)^2 h}{3}$

$V = \dfrac{1}{12} \pi h^3$

$V = \dfrac{ \pi h^3}{12}$

Taking the differentiation of volume V with respect to time t; we have:

$\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}$

$\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}$

we know that:

$\dfrac{dV}{dt}= 20 \ ft^3/min$

So;we have:

$20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}$

$20= 56.25 \pi \times \dfrac{dh}{dt}$

$\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

8 0

2 years ago

If one gallon of water is approximately 75,000 drops of water, how many gallons is 1 million drops of water

andreev551 [17]

1000000/75000 = 13.33333...

6 0

2 years ago

Read 2 more answers

Journalists try to use shorter or simpler words in their news stories whenever possible. The box below shows the number of lette

kap26 [50]

The mean, median number and the the outlier of the number of letters in the box is 5, 4.5 and no outlier respectively.

The complete question:

A box contains the numbers 9, 2, 2, 11, 1, 8, 8, 2, 6, 1, 7, 3.

<h3>How to find mean, median and outlier</h3>

Mean = Addition of all numbers ÷ number of digits

= (9 + 2 + 2 + 11 + 1 + 8 + 8 + 2 + 6 + 1 + 7 + 3) ÷ 12

= 60 ÷ 12

= 5

Median = The middle value arranged in ascending or descending order.

In ascending order; 1,1,2,2,2,3,6,7,8,8,9,11

There are two middle number; 6 and 3

Median = (6 + 3) / 2

= 9/2

= 4.5

There is no outlier

Learn more about mean and median:

brainly.com/question/14532771

6 0

1 year ago

Solve 3y^{2} - (y + 2) (y - 2)

hram777 [196]

Answer:

3y^2 - (y + 2) (y - 2) = 0

<=> 3y^2 - (y^2 - 4) = 0

<=> 2y^2 + 4 =0

<=>y^2 + 2 = 0

=> Because y^2 is always equal or larger than 0, there is no real solution.

Hope this helps!

8 0

3 years ago

Read 2 more answers