Answer:
1/(x^(17/12)y^(5/3))
Step-by-step explanation:
We assume you want to simplify the expression. The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
1/a^b = a^-b
Using these "all at once", we can add up the exponents of each of the variables:
x^(-2/3 -2·0 -(1/2)(3/2))·y^(-2/3-(1/2)·2) = x^(-2/3-3/4)y^(-2/3-1)
= x^(-17/12)y^(-5/3)
=
Answer:
D. 5 inches
Step-by-step explanation:
Given:
A frozen dinner is divided into 3 sections on a circular plate with a 12-inch diameter.
That means complete angle having 360° is divided into 3 section.
The central angle formed by the peach cobbler is 105 degrees.
The central angle formed by the pasta is 203 degrees.
<u>Question asked:</u>
What is the approximate length of the arc of the section containing the peas?
<u>Solution:</u>
The central angle formed by the peas = 360° - 105° - 203°
= 52°
As we know:
Therefore, the approximate length of the arc of the section containing the peas are 5 inches.
Answer: b. $3,374.65
Step-by-step explanation:
The exponential equation of growth (continuously) is given by :-
, where A is the initial amount, r is the rate of growth ( in decimal) and x is the time period.
Given : You invest $2,500 in an account that grows 5% each year.
i.e. A= $2,500 and r= 5%=0.05
Then, the equation model this situation will be :-
Now, At x= 6
Hence, the investment amount after 6 years will be $3,374.65.