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ANSWER-6N

hence acording to angle of repose, tan 60=coefficient of friction

let us say coefficient of friction=K=tan 60

so friction(f) apply force in upward direction as (f) = Kmgcos30

on resolving mg component we get, mgsin30 in downward direction and Kcos30 in upward direction

hence we want acceleration in upward direction so there will be a need of external force in upward direction let us say F be the external force

so K=tan30=1/1.73 N

(f)= Kmgcos30=1/1.73 * 1.73/2 * 20 = 10 N

mgsin30=2*10*1/2=10 N

m=2kg

a=3m/s^2

So F +Kmgcos30− mgsin30 = ma

putting values

F + 10 − 10 = 2 * 3

F = 6 N

Hence required force to get an acceleration of 3m/s^2 in upward drection is 6 N.

sum of all the angles around a point is = 360°

=> 2a+b+15+2b+a+90 = 360=> 3a+3b = 360-90-15=> a+b= 255/3 = 85°.....(1)

also 2b-a = 65°.....(2)

so, adding 1 and 2 => a+b+2b-a = 85+65 = 150°=> 3b = 150°=> b = 150/3 = 50° => a = 35°

angle AOB = a = 35°angle AOD = a+2b = 135°angle COD = 2a+b+15 = 2*35+50+15 = 135°

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As pr is a straight line,

Sum of angled = 180°

2x-30+3x+40 = 180

5x = 180-10

x = 170/5

x = 34°

Angle POQ = 2(34)-30

= 68-30

= 38°

Angle QOR = 3(34)+40

= 102 + 40

= 142°

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yes it is right

On straight line sum of angles = 180°

Then, (3x + 8) + (2x - 33) = 1805x - 25 = 1805x = 205x = 205/5 = 41

Value of x = 41

By linear pair propertySum of angles on linear line is 180

(x+10) + (7x/2 - 5) + (x/2) = 180x + 8x/2 +5 = 1805x = 175x = 175/5 = 35

angle AOD = x +10 + 7x/2 - 5 = 9x/2 + 5 = 9*35/2 + 5 = (315 +10)/2 = 415/2 = 207.5

As angle AOB is straight line so sum of angles is 180°.

x + 10 + 7x/2 - 5 + x/2 = 180°

3x/2 + 7x/2 + 5 = 180°

10x/2 = 180° - 5°

5x = 175°

x = 175/5

x = 35°

angle AOD = x +10 + 7x/2 - 5 = 35° + 5° + (7×35)/2

= 40° + 122.5°

= 162.5°

OP perpendicular XYSo, /_XOQ= /_QOY(each 90 degree)------------> (i)/_QOP=/_XOQ- /_XOP--------------> (ii)/_QOP = /_POY- /_QOY --------------> (iii)But, /_QOP= /_ QOY- /_XOP[from (i)]

adding (ii) and (iii)2/_QOP=/_QOY - /_XOP+ /_POY-/_QOY=> 2/_QOP= /_POY - /_XOP

we have two find five rational numbers so to find these we should add one to five. 5+1=6now multiply 6 both side (up and down) = 3×6/5×6 and 4×6/5×6 = 18/30 and 24/30 so the five rational numbers are:19/30,20/30,21/30,22/30,23/30

All real number are rational Numbers is false statement beacuse let take √2 a irrational number which is not rational

0 is the correct answer sir.....

let p and -p are the two roots.ax^2+bc+c=0sum of roots= -b/ap+(-p)=-b/a0= -b/a-b=0b= 0

let p and -p are the root of eachax^2+bx+c=0p+(-p)= -b/a0= -b/a-b=0b= 0

b=0 is the correct answer

I know about it your teacher do not told in class

6+x=10so,10-6=4x=4

6-x=10

One solution was found :

x = -4

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

6-x-(10)=0

Step by step solution :

Step1:

Pulling out like terms :

1.1 Pull out like factors:

-4 - x=-1•(x + 4)

Equation at the end of step1:

Step2:

Solving a Single Variable Equation:

2.1Solve:-x-4 = 0

Add4 to both sides of the equation:-x = 4Multiply both sides of the equation by (-1) :x = -4

One solution was found :

x = -4

Processing ends successfully

6-x=10

One solution was found :

x = -4

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

6-x-(10)=0

Step by step solution :

Step1:

Pulling out like terms :

1.1 Pull out like factors:

-4 - x=-1•(x + 4)

Equation at the end of step1:

Step2:

Solving a Single Variable Equation:

2.1Solve:-x-4 = 0

Add4 to both sides of the equation:-x = 4Multiply both sides of the equation by (-1) :x = -4is the correct answer of the following question

6 - x = 10x = 10 -6x = 44 is the answer of the given question.

x=4answer.............

683 is my correct answer to like

12.5%x*128/100=16you will get the answer

For biological functions, the living organisms require 27 elements of which 15 are metals. The elements required in major quantities are potassium, magnesium, sodium and calcium. Minor quantities of manganese, iron, cobalt, copper, zinc and molybdenum and trace amounts of vanadium, chromium, tin, nickel and aluminium are required at least by some organisms. Bulk quantities of group 1 and group 2 metals are required to balance the electrical charges associated with negatively charged organic macro molecules in the cell, and also to maintain the osmotic pressure inside the cell, to keep it turgid and prevent its collapse. The elements required for living organisms are found in earth’s crust, rivers and sea water. (Fig.1) gives the abundance of the elements in earth’s crust, river water and ocean water.

Fig: 1

Abundance of Some Elements in Land and Water

Different elements have different role to play in biological systems. The functions and toxicity some of the elements in biological systems are given Below

Potassium:

Biological Function:Essential to all organisms with the possible exception of blue-green algae; major cation in intracellular fluids in animals; essential for transmission of nerve impulse and cardiac function.

Toxicity:Extremely toxic to mammals when injected intravenouslyemesis prevents oral toxicity.

Comments:Pollution problem possible from leaching of fertilizers land.

Magnesium

Biological Function:Essential to all organisms. Present in all chlorophylls. Has other electrochemical and enzyme-activating functions.

Comments:May cause deficiencies of other elements (e.g. Fe) bythe effect of the alkalinity of dolomite.

Sodium:

Biological Function:Important for nerve functioning in animals. Major cation of extracellular fluid in animals.

Toxicity:Relatively harmless except in excessive amount (lethal dose ca 3g KG-1) Associated with some forms of hypertension.

Comments:Tolerance of and/or dependence upon sodium chloride can be an important consideration for the survival of plants and aquatic animals. This depends upon osmotic regulation rather than sodium specificity.

Calcium

Biological Function:Essential for all organisms; used in cell walls, bones, and some shells as structural component important electrochemically and involved in blood clotting

Toxicity:Relatively harmless

Comments:May cause deficiencies of other elements (e.g. Fe) by effect of alkalinity of lime stone.

Manganese

Biological Function:Essential for all organisms enzymes deficiencies in soil lead to infertility in mammals, bone malformation in growing chicks

Toxicity:Moderately toxic

Iron

Biological Function:Essential for all organisms.

Toxicity:Normally only slight toxicity, but excessive intake can cause siderosis and damage to organs through excessive iron storage (hermo-chromatosis)

Comments:A very abundant element (5 per cent of earth’s crust) may not be available at high pHs

Cobalt

Biological Function:Essential for many organisms including mammals activates a number of enzymes vitamin B12

Toxicity:Very toxic to plants and moderately so when injected intravenously in mammals.

Comments:Extensive areas are known where low soil cobalt affects the health of grazing animals.

Copper:

Biological Function:Essential to all organisms constituent of redox enzymes and hemocyanin

Toxicity:Very toxic to most plants highly toxic to invertebrates, moderately so to mammals.

Comments:Pollution from industrial smoke and possibly from agricultural use. Wilson’s disease, genetic recessive, results in toxic increase in copper storage.

Zinc

Biological Function:Essential to all organisms; used in >70 enzymes; stabilizes coiled ribosomes. Plays a role in sexual maturation and reproduction.

Toxicity:Moderately to slightly toxic; orally causes vomiting and diarrohea.

Comments:Pollution from industrial smoke may cause lung disease: use of zinc promotes cadmium pollution. Certain areas (e.g. Iran and Egypt) are zinc deficient.

Molybdenum

Biological Function:Essential to all organisms with the possible exception of green algae; used in enzymes connected with nitrogen fixation and nitrate reduction.

Toxicity:Moderately toxic and antagonistic to copper molybdenum excesses in pasturage can cause copper deficiency.

Vanadium:

Biological Function:Essential to ascidians (sea squirts), which concentrate in a million-fold from sea water. Essential to chicks and rats. Deficiencies cause reduced growth, impaired reproduction and survival of young, impaired tooth and bone metabolism and feather development. May be a factor in manic depressive illness.

Toxicity:Highly toxic to mammals if injected intravenously.

Comments:Possible pollutant from industrial smokes may cause lung disease.

Chromiun

Biological Function:Essential; involved in glucose metabolism and diabetes;potentiates effect of insulin.Presence in glucose tolerance factor from brewer’s yeast questioned.

Toxicity:Highly toxic as Cr(VI) carcingenic moderately toxic as Cr(III).

Comments: Potential pollutant since amount used industrially is large compared with normal biological levels; normally relatively unavailable because of low solubility. Cr(VI) used in comfort cooling towers environmental hazards

Tin:

Biological Function:Weak evidence for ultratrace essentiality in rats.

Toxicity:Organotin compounds used as bacteriostats and fungistats; its use in anti-foulant boat paints now discouraged because of danger to estuarine and marine life.

Nickel

Biological Function:Essential trace element.Chicks and rats raised on deficient diet show impaired liver function and morphology;stabilizes coiled ribosomes. Active metal in several hydrogenases and plant ureases.

Toxicity:Very toxic to most plants, moderately so to mammals carcinogenic.

Comments:Local industrial pollutant of air and water.

Aluminium

Biological Function:May activate succinic dehydrogenase and aminolevulinate dehydrase. The latter is involved in porphyrin synthesis.

Toxicity:Moderately toxic to most plants slightly toxic to mammals.Suggested as involved in the etiology of Alzheimer’s disease and other neurologic diseases.

Comments:Relatively inaccessible except in acidic media as a result of insolubility of Al(OH)3. Soils and waters high in A13+and low in Mg2+and Ca2+implicated in neurologic diseases.

y-x dy/dx=a(y2+dy/dx)

dy/dx (a+x)=y-ay2

dy/(y-ay2) =dx/(a+x)

intigrate both side

∫dy/(y-ay2) =∫dx/(a+x)

∫{1/y + a/(1-ay) }dy =∫dx/(a+x)

ln|y| -ln|1-ay| +c=ln|x+a|

ln(x+a)(1-ay)/y =c

or(x+a)(1-ay)/y =C1

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Causes of child marriagesinclude poverty, bride price, dowry, cultural traditions, laws that allowchild marriages, religious and social pressures, regional customs, fear of remaining unmarried, illiteracy, and perceived inability of women to work for money.

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$4915 ×162 = $ 796230

opposite angle of parallelogram are equal3x - 2 = 63 - 2x3x + 2x = 63 + 25x = 65°x = 65°/5x = 13°

So, the angle is 3x - 2 = 3× 13° - 2 = 37Adjacent angles of parallelogram sum to 180°, let the angle be yso, y = 180° - 37° = 143°,so, angles are 143°, 37°

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a) area= 540 cm sqb= 10 cmFormula area= l*b540=l* 10l=54 cmb) area= 1200 cm sqb=301200=30*ll=1200/30l=40 cm

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