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bearhunter [10]
3 years ago
8

What is the relationship between 1 and 0.1 ? Eplain your reasoning ​

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

they both have a 1

Step-by-step explanation:

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Ammonia at 70 F with a quality of 50% and a total mass of 4.5 lbm is in a rigid tank with an outlet valve at the bottom. How muc
Inessa05 [86]

Answer:

0.10865 killograms

Step-by-step explanation:

calculating the liquid mass of ammonia removed through the bottom value from a rigid tank at constant temperature.

Given:

temperature: T=70 F

quality : 50% = 0.5

initial mass: m1= 4.5 lbm

to find the removed liquid mass first we have to find total volume from which we can find remaining mass. as the tang is rigid the temperature and volume remains constant.

by taking the difference of mass we can determine the mass of liquid removed.

 we have two phases at temperature T= 70 F with specific volume for liquid  vf=0.02631 ft^3/lbm  and specific volume for vapor is  vg=2.3098 ft^3/lbm .

The Volume in the initial state is given by, (Using definition of specific volume)

                                          V= m1v1

 using v1=x(vf+vg)

                                    V= m1x(vf+vg)

substituting m1= 4.5 lbm\\ , vf= 0.02631 ft^3/lbm , vg=2.3098 ft^3/lbm

we get

        V= (4.5 lbm)(0.5)(0.02631 ft^3/lbm +2.3098 ft^3/lbm)  

finally          V=5.2625 ft^3  

we know the formula to find liquid mass is

mass =density *volume

density of ammonia is  0.73 kg/m^3

inserting the values into the formula we get the value for liquid mass removed through the valve.

m = (0.73 kg/m^3)*(5.25625 ft^3)

the final answer is

                           m= 0.10865 kg

4 0
4 years ago
Oliva is a stockbrocker. She makes 4% of her sales in commission.Last week,she sold $7,200 worth of stocks.
belka [17]

A) Commission made last week is $ 288

B) Commissions earned in a year,treating a year as having exactly 52 weeks is $ 14976

<em><u>Solution:</u></em>

From given,

Commission rate = 4 %

Last week,she sold $7,200 worth of stocks

<em><u>A. ) How much commission did she make last week?</u></em>

Therefore,

Commission\ amount = 4 \% of\ 7200\\\\Commission\ amount = 4 \% \times 7200\\\\Commission\ amount = \frac{4}{100} \times 7200\\\\Commission\ amount = 4 \times 72\\\\Commission\ amount = 288

Thus commission made last week is $ 288

B)

Given that,

If she were to average that same commission each week

To find the commissions earned in a year, treating a year as having exactly 52 weeks

Therefore,

commissions\ earned\ in\ a\ year = 288 \times 52\\\\commissions\ earned\ in\ a\ year = 14976

Thus commissions earned in a year,treating a year as having exactly 52 weeks is $ 14976

3 0
3 years ago
What are the first six nonzero multiples of 3
Mamont248 [21]
3,6,9,12,15 thats what i think. hope it helps
5 0
4 years ago
A fence 6 ft high runs parallel to the wall of a house at a distance of 5 ft. Find the length of the shortest ladder that extend
Anettt [7]

Answer:

L = 15.53 ft

Step-by-step explanation:

using diagram which is attached below

now, using Pythagoras theorem

L² = b²  + (5 + x)²...............(1)

using similarity of triangle

\dfrac{x}{6}=\dfrac{5+x}{b}

b=\dfrac{5+x}{x}6

from equation (1)

L^2 = (\dfrac{5+x}{x}6)^2 + (5 + x)^2

     = (5+x)^2(1+\dfrac{36}{x^2})

\frac{\mathrm{d} L^2}{\mathrm{d} x}= 2(5+x)(1+\dfrac{36}{x^2})+(5+x)^2(\dfrac{-2\times 36}{x^3})

\frac{\mathrm{d} L^2}{\mathrm{d} x}= (5+x)(2-\dfrac{72\times 5}{x^3})

for maxima or minima

\frac{\mathrm{d} L^2}{\mathrm{d} x}=0

x = -5 and x =  ∛190  = 5.74

on second derivative 5.74 is the value which comes out to be minimal value which is the distance between the fence and ladder

now,

L² = 241.38

L = 15.53 ft

7 0
3 years ago
Find the value of given expression<br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B25%20%5Ctimes%202%7D%20%20%5Ctimes%20%2
zmey [24]
The answer is fifty :)

5 0
3 years ago
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