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Ask QuestionPosted by Mohammad Hussain Hussain 5 years, 1 month ago
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Posted by Tanupreet Kaur 5 years, 1 month ago
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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
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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 Mayank Kumar 5 years, 1 month ago
- 2 answers
Yogita Ingle 5 years, 1 month ago
Any system or device connected to a network is also called a node. For example, if a network connects a file server, five computers, and two printers, there are eight nodes on the network. Each device on the network has a network address, such as a MAC address, which uniquely identifies each device.
Posted by Nisha Kashyap 5 years, 1 month ago
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Posted by Arpit Ar 5 years, 1 month ago
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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
Meteors are the celestial bodies from the sky which we see as a bright streak of light that flashes for a moment across the sky. The meteors are commonly called shooting stars. When a meteor enters into the atmosphere of Earth with high speed, a lot of heat is produced due to the resistance of air
Posted by Prachi Saxena 5 years, 1 month ago
- 3 answers
Yogita Ingle 5 years, 1 month ago
Four main castes were prevalent in India in those days- Brahmans, Kshatriyas, Vaisyas and Shudras.
Brahmans and Kshatriyas considered themselves as “upper castes”. Traders and moneylenders were called Vaisyas. Peasants, weavers and potters were called Shudras.
At the lowest rung were people who laboured to keep cities and villages clean. They were treated as “untouchable”. They were not allowed to enter temples, draw water from the wells used by the upper castes, or bathe in ponds where upper castes bathed. They were seen as inferior human beings.
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 Deepanshu Kumbhar 5 years ago
- 5 answers
Posted by Karthik Sahu 5 years, 1 month ago
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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 ẞøñú Yãdãv 5 years, 1 month ago
- 2 answers
Yogita Ingle 5 years, 1 month ago
In the most basic form, an anode in electrochemistry is the point where an oxidation reaction occurs. Generally, at an anode, negative ions or anions due to its electrical potential tend to react and give off electrons. These electrons then move up and into the driving circuit.
Prachi Saxena 5 years, 1 month ago
Posted by Shaayeq Parvez 5 years, 1 month ago
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Prachi Saxena 5 years, 1 month ago
Gaurav Seth 5 years, 1 month ago
Microbes also play a vital role in fermenting idli/dosa batter. Idli/ dosa batter contain Urad pulses. These Urad seeds contain Lactic Acid Bacteria (LAB). These bacteria lead to the formation of Lactic acid and CO2. Formation of Lactic acid gives a sour taste to the batter. Therefore, the batter should not be fermented for too long, else it might turn too sour.
Posted by Christina Shaju 5 years, 1 month ago
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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 Mayuri?? Sonawane 5 years, 1 month ago
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Deepanshu Kumbhar 5 years, 1 month ago
Gaurav Seth 5 years, 1 month ago
Sustainable development means using resources wisely without damaging the environment and keeping in mind the need of future generations. This can be achieved by making the right balance between using the resources to meet our present needs and conserving them for future.
Posted by Mayuri?? Sonawane 5 years, 1 month ago
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Anshika Anand 5 years, 1 month ago
Gaurav Seth 5 years, 1 month ago
What is resource conservation?
A n s w e r
Using resources carefully and giving them time to get renewed is called resource conservation. If not conserved, the resources that are already available in limited quantities will get exhausted.
Posted by Mayuri?? Sonawane 5 years, 1 month ago
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Gaurav Seth 5 years, 1 month ago
Warren Hastings was the first Governor-General of Fort William or Governor-General of Bengal , he took office on 20 October 1773, appointed by the Court of Directors of the East India Company.
But the Government of India Act 1833 re-designated the office with the title of Governor-General of India,and
Lord William Bentinck(1833)was the 1st Governor-General of British India.
Posted by Mayuri?? Sonawane 5 years, 1 month ago
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Gaurav Seth 5 years, 1 month ago
Moving away from British classification, historians have usually divided Indian history into ‘ancient’, ‘medieval’ and ‘modern’. This division too has its problems:
It is a periodisation that is borrowed from the West where the modern period was associated with the growth of all the forces of modernity – science, reason, democracy, liberty and equality. Medieval was a term used to describe a society where these features of modern society did not exist.
British rule people did not have equality, freedom or liberty. Nor was the period one of economic growth and progress. Many historians therefore refer to this period as ‘colonial’.
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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
0Thank You