Hello from MrBillDoesMath!
Answer: 6 * p^(3/2) * q^4
Discussion:
We are evaluating
sqrt { 36 * p^3 q^8 }
where "sqrt" indicates the square root and the ^ (as in q^8) means "raised to the power of:
The square root of the product is the product of the square roots. (Say that 5 time out loud quickly!). So the above equation becomes
sqrt { 36 * p^3 q^8 } =
sqrt( 36) * sqrt( p^3) * sqrt (q^8)
The square root of 36 is 6 as 6* 6 = 36 so the equation equals
6 * p ^ (3/2) * q^ (8/2)
Note that the square root of a number, for example, r, is the same as raising the number to the (1/2) power. That's where the (1/2) terms came from above.
But 8/2 = 4 so the equation simplifies to
6 * p^(3/2) * q^4
Thank you,
MrB
Answer:
rational
Step-by-step explanation:
is not an Irrational number because it can be expressed as the quotient of two integers: 91÷ 1
Hope this Helps :)
Answer:
199 a 426 students
Step-by-step explanation:
first to see what amount we are talking about in each case, let's see how many students each percentage represents
22% of students: (22 * 1420 students) /100 = 312.4 students
8% of students: (8*1420 students)/100 = 114.6 students
that is, that the average number of students who work part time is 312.4 students. And that number can vary up to 114.6 students above and up to 114.6 students below
that can be expressed as
22% + 8% = 312.4 + 113.6 = 426 students
and
22% -8% = 312.4-113.6 = 198.8≅ 199 students
Answer:
a = - 1.1
Step-by-step explanation:
The condition for a single variable function f(x) to be decreasing is f'(x) < 0.
f(x) = 4/x^2 - 6x + 9
Then, differentiating with respect to x on both sides we get,
f(x) = 4(-2)(1/x^3) - 6 < 0
-8/x^3 - 6 < 0
8/x^3 + 6 > 0
{Dividing both sides with - 1 and hence the inequality sign changes}
8/x^3 > -6
8 > - 6x³ {Multiplying both sides with x³}
6x³ > - 8 {Interchanging the sides}
x^3 > -8/6
⇒ x > - 1.1
So, a = - 1.1
