Explore topic-wise InterviewSolutions in Current Affairs.

EVALUATE USING QUADRATIC FORMULA

Answer:

answer is B

Step-by-step explanation:

if you use TRIAL and error method you will see that:

3(3*3-1)=24 which is divisible by 24

5(5*5-1)=120 which is divisible by 24

and so on...

Answer:

SINCE AXA is having 16 elements

So the NUMBER of elements in A will be 4 i.e {0,1,2,3}

ANSWER:

Ronaldo = 3 years Messi = 6 years

Step-by-step explanation:

Let, the present age of Ronaldo be =  x yrs.

Present age of Messi = 2X yrs.

Two years back,

Age of Ronaldo = ( x - 2) yrs.

Age of Messi = ( 2x - 2) yrs.

Again,

Age of Messi = 4(x - 2) yrs.

By the problem,

2x - 2 = 4(x - 2)

or, 2x - 4x = -8 + 2

or, -2x = -6

or, x = 6/2

Or, x = 3

Therefore present age of Ronaldo = 3 years

Present age of Messi = 2x = 2*3 = 6 years  

25

Is your ANSWER.....

HOPE you GOT it....

Answer:

3 no.s are aaid to be in PYTHAGOREAN triplets if they FOLLOW the pythagoras theorem.beingbthe values of side

Step-by-step EXPLANATION:

e.g if p...4

b...3

h...5

then h^2=p^2+b^2

25=16+9=25

b

=24

p=10

h=26

h^2=p^2+b^2

676=100+576=676

Step-by-step explanation:

DIVISIBILITY rule of 11 is difference between sum of even digit and odd digits is EQUALS to 11 or 0.

SOL : sum of odd no. 6+4+6= 16

sum of even no. 0+ X

11= 16- X

X = 5

ANSWER:

We will do the WORK OUR SELF.

HOPE this will HELP you

ANSWER:

LCM LE ke krlo

Apne AAP simplify HOTA JAYGA

USE SUM of all ANGLES is 180 DEGREE

ANSWER:

COS 45°/sec 30° +1/60°

,cos 45°×cos 30°+1/60°

1×√3/2+1/60

【30√2+1】/60

ANSWER:

here your answer dear

0.1 and 0.2

0.1×2=0.2

o.2×2=0.4

0.2,0.3,0.4

second one

2/3 and 3/5

2/3×5=10/15

3/5×3=9/15

9/15×2=18/30

10/15×2=20/30

18/30,19/30,20/30

Answer:

the third angle is 40 DEGREES

ACCORDING to angle sum PROPERTY the sum of all angles in a triangle is 180

so 100+40+X= 180

X= 180-140

= 40 degrees

ANSWER:

PLEASE MARK it as the BRAINLIEST

Answer:

7×1000000+3×1000+4×100+5×10+6

PLEASE MARK ME AS THE BRAINLIEST

THANK YOU

Step-by-step explanation:

face VALUE is the NUMBER itself

a) 1

b) 0

c)3

d)3

e)7

f)7

g)2

h)5

i)0

j)4

k)8

l)5

m)8

n)9

Step-by-step explanation:

let 2-3root5=RATIONAL number=x

sq. both SIDES

(2-3root5)2=x2

2sq.+(3root5)2-2×2×3root5 = x2

4+45-12root5 = x2

49-12root5 =x2

root5 =x2-49/-12

as root5 is irrational

and x2-49/-12 is rational

therfore rational is not equal to irrational

so our SUPPOSITION is WRONG

Hence,2-3root5 is irrational

HOPE IT HELPS YOU...✨✨

Answer:

A term is either a single number or variable, or the PRODUCT of several numbers or VARIABLES.

Step-by-step explanation:

In elementary mathematics, a term is either a single number or variable, or the product of several numbers or variables. Terms are separated by a

+ or - sign in an overall expression. For example, in

3 + 4x + 5y²

3, 4x, and 5y² are three separate terms.

In the context of polynomials, term can mean a monomial with a coefficient. To 'combine like terms' in a polynomial is the basic OPERATION of making it a LINEAR combination of distinct monomials. For example,

3x + 2x² + 5x + 1 = 2x² + (3+5)x + 1 = 2x² + 8x + 1, with like terms collected.

A series is often represented as the sum of a sequence of terms.

In general mathematical use, however, term is not limited to additive expressions. INDIVIDUAL factors in an expression representing a product are multiplicative terms. Indeed, individual elements of any mathematical expression may be referred to as "terms".

COMPLETE the QUESTION...!!!

Step-by-step explanation:

hey friend

here is you answer

_____________________________________________

ACCORDING to the LAW of floatation

a body FLOATS if weight of the body is EQUAL to the weight of water displayed

            weight of the sphere =weight of the water displaced

          4/3π(R^3-r^3)*9 pw=4/3πr^3pw

              9(R^3-r^3)=R^3

             r^3=8/9r^3

__________________________________________________

plz MARK a s brainliest

here is answer

hope you UNDERSTAND

Answer:

1 = 1*1 = 1

2 = 2*2 = 4

3= 3*3 = 9

4= 4*4 = 16

5 = 5*5 = 25

Step-by-step explanation:

hey mate

i THINK you just STARTED the norns and basics of precalculus

i am glad you asked

so anyways here is your ANSWER and explanation

____________________________________________________

4

e

7

x

=

10273

Divide each term by  

4

and simplify.

Tap for more steps...

e

7

x

=

10273

4

Take the natural logarithm of both sides of the equation to remove the VARIABLE from the exponent.

ln

(

e

7

x

)

=

ln

(

10273

4

)

Use logarithm rules to move  

7

x

out of the exponent.

7

x

ln

(

e

)

=

ln

(

10273

4

)

The natural logarithm of  

e

is  

1

.

7

x

⋅

1

=

ln

(

10273

4

)

Multiply  

7

by  

1

.

7

x

=

ln

(

10273

4

)

Divide each term by  

7

and simplify.

Tap for more steps...

x

=

ln

(

10273

4

)

7

The RESULT can be shown in multiple forms.

Exact Form:

x

=

ln

(

10273

4

)

7

Decimal Form:

x

=

1.12156857

…

_________________________________________________

hope it helps you

plz mark my answer as the brainliest

ANSWER:

HEY u haven't GIVEN the figure. give the figure i will try to answer.

Step-by-step explanation:

The graphical method has the drawback in that the straight line drawn may not

be unique but principle of least squares PROVIDES a unique set of values to the

constants and hence suggests a curve of best fit to the given data. The method of

least square is probably the most systematic procedure to fit a unique curve through

the given data points.

We will consider some of the best fitting curves of the type:

1. A straight line.

2. A second degree curve.

3. The exponential curve y = aebx.

4. The curve y — a x 71.

1. Fitting a straight line by the method of least squares:

Let (x;,yj), t = 0,1,2,....,n be the n sets of observations and let the related

relation by y = ax + b. Now we have to select a and b so that the straight line is the

best fit to the data.

As explained earlier, the residual at x = x t is

d i= y i~ f O i) = yt~ Caxi + b),i = 1,2,, 71

e = ir= i df = Xf=i [yf - (axi + b)]2

By the principle of least squares, E is minimum.

AL-Mustansirriya University

College oE Engineering

Computer & Software ENG. Dep. AiL^I Course ( l) Lecture (4)

3rd Class

dE dE — = 0 and — = 0 da db

i-e-, 2 - (axt + b)] ( - ^ ) = 0 & 2 £ [y £ - (axt + b)] ( - 1 ) = 0

i.e., - ax? - bXi) = 0 & E?=i(yi - ax< - ft) = 0

i.e., aZ?=i3C? = Z " = i^ y i .... (eq.l)

And a £"=1 x t + nb = £ f=1 y; .....(eq.2)

Since, x it y t are known, equations (1) & (2) give two equations in a & b. Solve for a

& b from (1) & (2) & obtain the best fit y= ax + b.

Note:

• Equations (1) & (2) are called normal equations.

• Dropping SUFFIX i from (1) & (2), the normal equations are

aY ,x + nb = £ y & a£x2 + b j ^ x = £xy

Which are get taking £ on both sides of y = ax + b & also taking £ on both sides

after multiplying by x both sides of y = ax + b.

• Transformation like X = ~ ~ , Y — ~ ~ reduce the linear equation y = ax + b to

the form Y = AX + B. Hence, a linear fit is another linear fit in both SYSTEMS of

coordinates.

Example 1:

By the method of least squares find the straight line to the data given below:

X 5 10 15 20 25

y 16 19 23 26 30

Solution:

Let the straight line be y=ax+b

The nor

AL-Mustansirriya University

College of Engineering

Computer & Software Eng. Dep.

Course ( l) Lecture (4)

3rd Class

X y X 2 xy

5 16 25 80

10 19 100 190

15 23 225 345

20 26 400 520

25 30 625 750

Total 75 114 1375 1885

The normal equations are 75a+5b=l 14 .....(eq.l)

1375a+75b=1885 ..... (eq.2)

Eliminate b, multiply (1) by 15

1125a+75b=1710 .....(eq.3)

(eq.2) - (eq.3) gives, 250 a=T75 or a=0.7, hence b= 1 ? ^

Hence, the best fitting line is y=0.7x+12.3

Let X = x~xmid = *~15 y = y~ymid = y~23 h 5 ’ h 5

Let the line in the new variable by Y=AX+B

X y X X2 Y XY

5 16 -2 4 -1.4 2.8

10 19 -1 1 -0.8 0.8

15 23 0 0 0 0

20 26 1 1 0.6 0.6

25 30 2 4 1.4 2.8

Total 0 10 -0.2 7

The normal equations are A £ X + 55 = £ Y .....(eq.4)

A Y X 2 + B Y , X = Z X Y .....(eq.5)

Therefore, -SB = —0.2 —> B = —0.04

10A = 7 ->A = 0.7

The equations Y=0.7X - 0.04

i.e. = 0.7 ( - 0.04 y - 23 = 0.7x - 10.5 - 0.2

i.e. y=0.7x+33.3

Which is the same equation as seen before.

-----------------------------------------------------------------------------------page 3 ---------------- -----—

AL-Mustansirriya University

College of Engineering

Computer & Software Eng. Dep. ■Miami

Course ( l) Lecture (4)

3rd Class

Example 2:

Fit a straight line to the data given below. Also estimate the value of y at x=2.5

x 0 l 2 3 4

y l 1.8 3.3 4.5 6.3

Solution:

Let the best fit be y= ax + b .....(eq.l)

The normal equations are a £ x + 5b = £ y .....(eq.2)

a£x2 + b'Zx = 2 > y .....(eq.3)

We prepare the table for easy use.

X y X 2 xy

0 l 0 0

1 1.8 1 1.8

2 3.3 4 6.6

3 4.5 9 13.5

4 6.3 16 25.2

Total 10 16.9 30 47.1

Substituting in (eq.2) and (eq.3), we get,

10a+5b=16.9

30a+10b=47.1

Solving eq.(2)-eq.(l), we get, a=l .33, b= 0.72

Hence, the equation is y =1.33x+0.72

y (at x=2.5) =1.33 (2.5) +0.72 = 4.045

Answer:

8:2:1

Step-by-step explanation:

SINCE a=1/4b therefore 4a=b

since b=1/2c therefore 2b=c

we can then MULTIPLY the FIRST equation by 2 so we GET 8a=2b

thus giving the equation 8a=2b=c thus making ratio 8:2:1

Answer:

125

STEP by step explanation:

Hey mate,

we know that SURFACE area = 6s^2

Here, surface area is 150m(given)

6s^2 = 150

s^2 = 150/6

s^2 = 25

s = 5

Volume of cube = side * side * side

Here,side is 5 (solved above )

Volume of cube = 5*5*5

Volume = 125

Hope it HELPS you

Please mark it as brainliest

I didn't UNDERSTAND the QUESTION the

Step-by-step explanation:

the mean of the following FREQUENCY distribution is 50 find the value of p classes 0 20 20 40 40 60 60 80 80 100 frequency 17 28 32 p 19 ...

Answer:

320729

Step-by-step explanation:

1599*199=318201+49=318250-1398=316852+3877=320729

ANSWER:

PLZZ TELL the CORRECT QUESTION

ANSWER:

for converting hexagon DECIMAL into binary number system we NEED to FIRST convert HEXADECIMAL into decimal

Answer:

Step-by-step explanation:

Convert Decimals to Fractions

Step 1: WRITE down the decimal divided by 1, like this: decimal 1.

Step 2: Multiply both top and bottom by 10 for every NUMBER after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are THREE then use 1000, etc.)

Step 3: Simplify (or reduce) the fraction.

26-2×13

72-2×2×2×3×3

hcf(26,72)=2

lcm(26,72)=2×13×2×2×3×3=936

this is ANSWER if it's 26 and 72 seperate

Answer:

2x^5+3x^2-x+4

Mark me as BRAINLIST

ANSWER:

YES its a DISPLACEMENT

Answer:

20 carpets

Step-by-step EXPLANATION:

You can do it with UNITARY method

hope it HELPS you

Answer:

3 PACKS of 32 each and 4 packs of 24 each.

Step-by-step EXPLANATION:

this is because 32*3 is 96 and 24*4 is 96 thus same number of both PENCILS and CRAYONS

HEY MATE HOPE it will HELP you

Step-by-step explanation:

1812+256

=2068

isn't there any CONDITIONS for the VALUE of X ?

Answer:

56784

Step-by-step explanation:

50000+ 50000*4/100 =  52000

52000 + 52000 * 5/100 = 54600

54600 + 54600 * 4/100 = 56784

Answer:

9. { C}

10 . {D}

11. { D}

12. {A}

13. {C}

14. {B}

15. {D}

ANSWER:

the answer is 15a2 -70ba -90ca.

PLS MARK as BRAINLIST

SQURE both SIDE U will find identify cos2 +sin2 = 1 put it rest you can SOLVE it easily believe me

ANSWER:

3 MEDIAN - 2 MEAN is the formula to find out the mode of any data

hence the answer is mode.

hope it helps.

ANSWER:

y(y^2-7)+6

Step-by-step EXPLANATION:

y^3 - 7Y +6 = y(y^2-7)+6

ANSWER:

here is your 4TH answer and 2ND ALSO

ANSWER:

Even = 1/2

PRIME = 2/5

Step-by-step explanation:

P(of getting an even NUMBER ) = 10/20 = 1/2

P(of getting a prime number ) = 8/20 = 2/5

ANSWER: HOPE this answer USEFUL to you

rest I am solving

ANSWER:East

Step-by-step EXPLANATION: