Answer:
1.0712
Step-by-step explanation:
if you increase by 4%, it means you will have a new total of 104%. In decimals it is 1.04 (divide your percentage by 100) after that you do the same with the 3% increase. you'll have a new total of 103%. In decimals 1.03. If you want to know what single multiplier you can use, you need to multiply the both decimals. So you get 1.04 x 1.03 = 1.0712
hope this will help you, have a nice day!
Answer:
9.9
Step-by-step explanation:
Answer:
Step-by-step explanation:
The prime factorization of a number is the product of the prime numbers that divide it.
In order to find the prime factorization of 14641, we can use the following steps:
The prime factorization of 14641 is:
Therefore, the prime factorization of 14641 is:
The prime factorization of 14,641 is 11*11*11*11.
Step-by-step explanation:
Prime factorization is the finding of the prime factors of a certain number by rigorous division that is the number is divided multiple times by prime factors to ultimately getting the quotient as 1, that is the number is completely factorized and the divisors for each step of the rigorous division is considered as the prime factors of the number to be factorized.
14641 when divided by 11, divides the number completely giving the remainder 0 and the quotient as 1331. Now, the next step is to divide the quotient again by 11. This gives 121. When 121 is divided by 11 again, the remainder found out is 0 and the quotient is 11. Finally, when 11 is divided by 11, we get 1 as the quotient and that gives us the final set of prime factors of the number 14641.
Hence, the prime factorization of 14,641 is 11*11*11*11
y=2x^2+14x-4
Answer:
second option is correct (for question no 20)
Step-by-step explanation:
coordinate points are:
(3,1) = (x1,y1)
(5,9) = (x2,y2)
slope (m) = y2-y1/x2-x1
=9-1/5-3
=8/2
=4
Now using slope intercept form
y=mx + b
y=4x + b
since the line passes through the point (3,1) it satisfies the equation
y=4x + b
1=4*3 + b
1-12 = b
-11 = b
substituting the value of b in equation
y=4x + b
y=4x +(-11)
y=4x - 11
The correct answer is option B which is the factors are (x-5)(x-5).
It is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
The quadratic equation will be solved as follows:-
x² -10x + 25 = x² -5x - 5x + 25
= x ( x- 5 ) - 5 ( x-5 )
= ( x - 5 ) ( x - 5 )
The factors of the equation are 5 and 5.
Therefore the correct answer is option B which is the factors are (x-5)(x-5).
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