Answer:
D) n^6 - 6m^6 + 7mn^5 + 14m^2n^4 -5m^3 n^3
Step-by-step explanation:
The given polynomial is 8mn^5 -2m^6 +5m^2 n^4 - m^3 n^3 + n^6 - 4m^6 + 9m^2n^4 -mn^5 - 4m^3n^3
Now we have to identify the like terms and simplify.
Like terms are nothing but the terms which have the same variables with same powers.
= (8mn^5 - mn^5) -2m^6 - 4m^6 + 5m^2 n^4 + 9m^2 n^4 - m^3n^3 - 4m^3n^3 +n^6
Now combine the like terms
= 7mn^5 - 6m^6 +14m^2 n^4-5m^3n^3 + n^6
It can be written in standard form
= n^6 - 6m^6 + 7mn^5 + 14m^2n^4 -5m^3 n^3
The answer is D)
Hope this will helpful.
Thank you.
Answer:
The ratio of Tan B is
OR
Step-by-step explanation:
In Right Angle Triangle ABC
angle C = 90°
AB = Ramp = 17 feet
BC =Horizontal distance = 15 feet
AC = Height from floor = 8 feet
To Find:
Ratio of Tan B = ?
Solution:
In Right Angle Triangle ABC By Tangent Identity we have
Substituting the given values we get
OR
Answer:
8 + 2x = 30
Step-by-step explanation:
Given,
The initial number of push-ups he does in each day = 8,
And, the number of push-ups, he increases per day = 2,
Let x be the number of days after he will reach his target of 30 push-ups,
Since, the number of push-ups she will increase in x days = 2x,
Thus, the number of push-ups she will do after x days = 8 + 2x,
⇒ 8 + 2x = 30, which is the required equation.
Answer:
Step-by-step explanation:
We assume that there are 100 sour candies, Thus-
26 % of candy are grape implies that 26% of 100 candies are grape that is equal to 26
Now remaing candies that are not grape are 100-26 = 74
Based on the rule of multiplication:
P(A ∩ B) = P(A)/ P(B|A)
In the beginning, there are 26grape candies, probability of choosing first grape candy = 26C1 = 26
After the first selection, we replace the selected grape candy so there are still 100 candies in the bag P(B|A) = 100C3 = 100 x 99 x 98 x 97!/3! X 97!
= 50 x 33 x 98
So probability =1/ 50 x 33 x 98 x 26
= 1/4204200
