Answer:
Step-by-step explanation:
The relevant rule of exponents is ...
(a^b·c^d)^e = a^(be)·c^(de)
Then ...
(m^(5/4)·n^(-4/5))^(7/3) = m^(5/4·7/3)·n^(-4/5·7/3)
= m^(35/12)·n^(-28/15)
__
Since you want positive rational exponents, you can write this as ...
= m^(35/12)/n^(28/15)
Answer:
Step-by-step explanation:
A fraction can be found be taking the current amount over the total amount:
Since Darlene has only typed 23 pages out of 59, her fraction is 23 over 59. Fractions must always be in simplest form, which means that both the numerator and denominator can no longer be divided by the same factor. Since the numbers 23 and 59 are both prime and have no other factors other than 1 and themselves, the fraction 23/59 is in simplest form.
The equation of motion is
s(t) = (1/2)a·t² +v₀·t +s₀
where a is the acceleration, v₀ is the initial velocity, and s₀ is the initial position.
For t in seconds and s(t) in feet, your values make this equation be
s(t) = 5t² -20t +8
Answer:
-26
Step-by-step explanation:
so, the absolute value of 3 and 11 together is 14.
14-(15+3+2)2
14-(20)2
14-40
-26
Answer:
<em>[22,42]</em>
Step-by-step explanation:
<u>Division
</u>
We must find an interval for the number of visits Casey needs to make to her parents to earn the gold status. The lower limit for that status is 16500 miles.
Each round trip flight Casey takes to visit her parents is 750 miles long. To know the minimum number of visits needed, we divide 16500 / 750= 22. To know the maximum number of visits, we divide 31500 / 750 = 42.
Thus, to earn the gold status at awesome airlines, Casey must go between 22 and 42 times to visit her parents. Expressing in interval notation: [22,42]
