<em>Answer</em>
<u>0.625</u>
<em>Explanation</em>
5/8=0.625
1 x 0.625= 0.625
(basically the question was "convert 5/8 to a decimal" because 1 times any number is the same number)
<em>hope this helps!</em>
<em>have a great day :)</em>
Answer:
the percentage of the students in the band that play a percussion instrument is 14.6%
Step-by-step explanation:
The computation of the percentage of the students in the band that play a percussion instrument is as followS;
= number of students played percussion instrument ÷ total number of students
= 6 students ÷ 41 students
= 14.6%
Hence, the percentage of the students in the band that play a percussion instrument is 14.6%
The same is relevant
Answer: Length = 28 feet and width = 9 feet
Step-by-step explanation:
Let x = width of the wall.
Then, Length of the wall = 10+2x
Since , Area of rectangle = length x width
Then, as per given,
Since width cannot be negative , so x = 9
So width = 9 feet and length = 10+2(9)=10+18 = 28 feet
Hence, length is 28 feet and width is 9 feet of the wall of the barn.
Answer:
yp = -x/8
Step-by-step explanation:
Given the differential equation: y′′−8y′=7x+1,
The solution of the DE will be the sum of the complementary solution (yc) and the particular integral (yp)
First we will calculate the complimentary solution by solving the homogenous part of the DE first i.e by equating the DE to zero and solving to have;
y′′−8y′=0
The auxiliary equation will give us;
m²-8m = 0
m(m-8) = 0
m = 0 and m-8 = 0
m1 = 0 and m2 = 8
Since the value of the roots are real and different, the complementary solution (yc) will give us
yc = Ae^m1x + Be^m2x
yc = Ae^0+Be^8x
yc = A+Be^8x
To get yp we will differentiate yc twice and substitute the answers into the original DE
yp = Ax+B (using the method of undetermined coefficients
y'p = A
y"p = 0
Substituting the differentials into the general DE to get the constants we have;
0-8A = 7x+1
Comparing coefficients
-8A = 1
A = -1/8
B = 0
yp = -1/8x+0
yp = -x/8 (particular integral)
y = yc+yp
y = A+Be^8x-x/8
If you are doing a literal equation all you have to do is isolate the h.
First get rid of the fraction by multiplying both sides by 2.
2a=bh
Then divide both sides by b.
2a/b=h
Hope this helps!
