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Ask QuestionPosted by Tanupreet Kaur 5 years, 1 month ago
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Posted by Simran Kumari 5 years, 1 month ago
- 1 answers
Yogita Ingle 5 years, 1 month ago
total food = 16 × 45 = 720
food after 15 days = 720 ×2/3 = 480
men after 15 days = 16- 6 = 10
so food will last 480/10 = 48 days
Posted by Jay Siddhpura 5 years, 1 month ago
- 1 answers
Yogita Ingle 5 years, 1 month ago
Let us find LCM of 4, 9 and 10
4 = 2 x 2
9 = 3 x 3
10 = 5 x 2
So, LCM = 2 2 x 3 2 x 5 = 180
Now the LCM gives us a clue that if 180 is multiplied by 5 then it will become a perfect square.
The Required number = 180 x 5 = 900
Posted by Mohammad Hussain Hussain 5 years, 1 month ago
- 1 answers
Gaurav Seth 5 years, 1 month ago
A n s w e r : The product of -4p , 7pq is -28 p2 q
-4 p x 7 p q
Putting together we get,
-4 x 7 x p x p x q
Hence,
-28 p2 q
Posted by Tanupreet Kaur 5 years, 1 month ago
- 1 answers
Gaurav Seth 5 years, 1 month ago
Factoring z2-7z-30
The first term is, z2 its coefficient is 1 .
The middle term is, -7z its coefficient is -7 .
The last term, "the constant", is -30
Step-1 : Multiply the coefficient of the first term by the constant 1 • -30 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -7 .
| -30 | + | 1 | = | -29 | ||
| -15 | + | 2 | = | -13 | ||
| -10 | + | 3 | = | -7 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 3
z2 - 10z + 3z - 30
Step-4 : Add up the first 2 terms, pulling out like factors :
z • (z-10)
Add up the last 2 terms, pulling out common factors :
3 • (z-10)
Step-5 : Add up the four terms of step 4 :
(z+3) • (z-10)
Hence, z2−7z−30=(z−10)(z+3).
Posted by Tanupreet Kaur 5 years, 1 month ago
- 1 answers
Gaurav Seth 5 years, 1 month ago
y²-5y-24
= y²-8y+3y-24
= y(y-8) + 3(y-8)
= (y-8) (y+3)
Detailed explanation:
Factoring y2-5y-24
The first term is, y2 its coefficient is 1 .
The middle term is, -5y its coefficient is -5 .
The last term, "the constant", is -24
Step-1 : Multiply the coefficient of the first term by the constant 1 • -24 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
| -24 | + | 1 | = | -23 | ||
| -12 | + | 2 | = | -10 | ||
| -8 | + | 3 | = | -5 | That's it |
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3
y2 - 8y + 3y - 24
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y-8)
Add up the last 2 terms, pulling out common factors :
3 • (y-8)
Step-5 : Add up the four terms of step 4 :
(y+3) • (y-8)
Posted by Arpit Ar 5 years, 1 month ago
- 1 answers
Meghna Thapar 4 years, 11 months ago
Calculate compound interest on an investment or savings. Using the compound interest formula, calculate principal plus interest or principal or rate or time. Includes compound interest formulas to find principal, interest rates or final investment value including continuous compounding A = Pe^rt.
Compound Interest Equation
A = P(1 + r/n)nt
Where:
- A = Accrued Amount (principal + interest)
- P = Principal Amount
- I = Interest Amount
- R = Annual Nominal Interest Rate in percent
- r = Annual Nominal Interest Rate as a decimal
- r = R/100
- t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
- n = number of compounding periods per unit t; at the END of each period
Compound Interest Formulas and Calculations:
- Calculate Accrued Amount (Principal + Interest)
- A = P(1 + r/n)nt
- Calculate Principal Amount, solve for P
- P = A / (1 + r/n)nt
- Calculate rate of interest in decimal, solve for r
- r = n[(A/P)1/nt - 1]
- Calculate rate of interest in percent
- R = r * 100
- Calculate time, solve for t
- t = ln(A/P) / n[ln(1 + r/n)], then also
- t = [ ln(A) - ln(P) ] / n[ln(1 + r/n)]
Formulas where n = 1 (compounded once per period or unit t)
- Calculate Accrued Amount (Principal + Interest)
- A = P(1 + r)t
- Calculate Principal Amount, solve for P
- P = A / (1 + r)t
- Calculate rate of interest in decimal, solve for r
- r = (A/P)1/t - 1
- Calculate rate of interest in percent
- R = r * 100
- Calculate time, solve for t
- t = ln(A/P) / ln(1 + r), then also
- t = [ ln(A) - ln(P) ] / ln(1 + r)
Posted by Prachi Saxena 5 years, 1 month ago
- 2 answers
Yogita Ingle 5 years, 1 month ago
We know that,
Area of rectangle = Length × Width
=> 544 = 32 × Width
=> Width = 544 / 32
=> Width = 17 cm
Posted by Prachi Saxena 5 years, 1 month ago
- 2 answers
Yogita Ingle 5 years, 1 month ago
The circumference of the circle=2πr=44cm
⇒2×22/7 ×r=44
⇒r= 2×22/44×7=7cm
Now, Area of the circle=πr
= 22/7 ×7×7=154cm
Now the wire is converted into square,
Then perimeter of square=44cm
⇒4× side=44
⇒ side= 4
44=11cm
Now, area of square=side×side=11×11=121cm 2
Posted by Karthik Sahu 5 years, 1 month ago
- 1 answers
Yogita Ingle 5 years, 1 month ago
10 cube=1000
11 cube = 1331
since cube of unit digit 1 cube =1
therefore cube root of 1331 is 11
Posted by Christina Shaju 5 years, 1 month ago
- 3 answers
Prachi Saxena 5 years, 1 month ago
Gaurav Seth 5 years, 1 month ago
A square is a quadrilateral because it has four sides.
It is a regular quadrilateral because all four sides and angles are equal.
Explanation:
A quadrilateral is any figure with four sides.
Let's take for example a rectangle (because we have to prove it with squares), it has four sides, so it's a quadrilateral.
And as well as a square has four sides, kites, parallelograms, rhombuses, etc. are also quadrilaterals
Posted by Arif Hussain 5 years, 1 month ago
- 5 answers
Posted by Saksham Arora 5 years, 1 month ago
- 2 answers
Posted by Devender Dhiman 5 years, 1 month ago
- 1 answers
Posted by Tanupreet Kaur 5 years, 1 month ago
- 1 answers
Posted by Tanupreet Kaur 5 years, 1 month ago
- 1 answers
Ranjan Kumar 5 years, 1 month ago
Posted by Tanupreet Kaur 5 years, 1 month ago
- 1 answers
Ranjan Kumar 5 years, 1 month ago
Posted by Anurag Verma 5 years, 1 month ago
- 1 answers
Posted by Anshul Bhatt 5 years, 1 month ago
- 2 answers
Posted by Lanchenba Samjarambam 5 years, 1 month ago
- 3 answers
Yogita Ingle 5 years, 1 month ago
Let the first number be x
second number be (x+15) ( one exceed other by 15 )
sum of the number is given by x+(x+15) = 95
x+x+15=95
2x+15 = 95
2x =95-15
2x = 80
x=80/2
x =40
first number x=40, second number x+15 = 40+15= 55
The numbers are 40 and 55.
Posted by Tanupreet Kaur 5 years, 1 month ago
- 1 answers
Posted by Tanupreet Kaur 5 years, 1 month ago
- 1 answers
Posted by Drishti Bagdas 5 years, 1 month ago
- 2 answers
Posted by Aman Khan 5 years, 1 month ago
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Posted by Tanupreet Kaur 5 years, 1 month ago
- 3 answers
Yogita Ingle 5 years, 1 month ago
To Factorise : x2−22x+117
By splitting the middle term
= x2−13x−9x+117
= x(x−13)−9(x−13)
=(x−9)(x−13)
So, x2−22x+117=(x−9)(x−13)
Zibiah Gonsalves 5 years, 1 month ago
Posted by Tanupreet Kaur 5 years, 1 month ago
- 1 answers
Yogita Ingle 5 years, 1 month ago
To Factorise : x2−21x+90
By splitting the middle term
=x2−6x−15x+90
=x(x−6)−15(x−6)
=(x−6)(x−15)
So, x2−21x+90=(x−6)(x−15)
Posted by Tanupreet Kaur 5 years, 1 month ago
- 1 answers
Yogita Ingle 5 years, 1 month ago
To Factorise : x2−21x+110
By splitting the middle term
x2−10x−11x+110
x(x−10)−11(x−10)
(x−11)(x−10)
So, x2−21x+110=(x−10)(x−11)
Posted by Tanupreet Kaur 5 years, 1 month ago
- 1 answers
Yogita Ingle 5 years, 1 month ago
To Factorise : z2−2z−8
By splitting the middle term
=z2−4z+2z−8
=z(z−4)+2(z−4)
=(z+2)(z−4)
So, z2−2z−8=(z+2)(z−4)
Posted by Siddhi Maithani 5 years, 1 month ago
- 1 answers
Posted by Tanupreet Kaur 5 years, 1 month ago
- 1 answers
Yogita Ingle 5 years, 1 month ago
z²-z-2
= z2 - 2z + 1z- 2
= z(z - 2) + 1 (z - 2)
= (z - 2) ( z + 1)
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Yogita Ingle 5 years, 1 month ago
In the given polynomial a2+5a−104,
The first term is a2 and its coefficient is 1.
The middle term is 5a and its coefficient is 5.
The last term is a constant term −104.
Multiply the coefficient of the first term by the constant 1×−104=−104.
We now find the factor of −104 whose sum equals the coefficient of the middle term, which is 5 and then factorize the polynomial a2+5a−104 as shown below:
a2+5a−104=a2+13a−8a−104=a(a+13)−8(a+13)=(a−8)(a+13)
Hence, a2+5a−104=(a−8)(a+13).
2Thank You