Answer:
y = 1/15
Step-by-step explanation:
3y + 1/5 = 2/5
Subtract 1/5 from each side
3y +1/5 -1/5 = 2/5 -1/5
3y = 1/5
Multiply by 1/3
3y *1/3 = 1/5 *1/3
y = 1/15
The additional percent of his regular pay rate is 82.5% which he earned in the longer shift.
<h3>What is the percentage?</h3>
It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.
The longer shift is 12 hours.
Basic pay = $136.00
On a longer shift, Thomas earned = $248.20
The percent in increase:


Percent increase = 82.5%
Thus, the additional percent of his regular pay rate is 82.5% which he earned in the longer shift.
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Answer:
F
Step-by-step explanation:
If you used the first one
(4÷4) (4÷4) = 1 which is correct.
input the values in the equations and check each one
Answer:
0
Step-by-step explanation:
If we use polar coordinates, the region D can be covered by replacing (x,y) by (r*sin(Θ),rcosΘ)), with 0<r<7, 0<Θ<2π. The differential matrix
![\left[\begin{array}{cc}rcos(\theta)&-rsin(\theta)\\sin(\theta)&cos(\theta)\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7Drcos%28%5Ctheta%29%26-rsin%28%5Ctheta%29%5C%5Csin%28%5Ctheta%29%26cos%28%5Ctheta%29%5Cend%7Barray%7D%5Cright%5D)
has determinant equal to r, so we can compute the double integral as follows

(Note that we multiplied by the determinant of the Jacobian, r). A primitive for r³ is r⁴/4, thus, for Barrow's rule we have

A primitive of cos(Θ)sin(Θ) can be obtained using substitution, and it is sin²(Θ)/2 (note that the derivate of sin²(Θ) is 2sin(Θ)cos(Θ)). Therefore, taking both the dividing 4 and the 2 obtained, we have

Hence, the integral is 0.