Multiples of 12 : 12 , 24 , 36 , 42 , 60 , 72 , 84 , 96 , 108 , 120
3 left (+3) : 15 , 27 , 39 , 45 , 63 , 81 , 87 , 99 , 111 , 123
Multiples of 9 : 09 , 18 , 27 , 36 , 45 , 54 , 64 , 72 , 81 , 90
21 left (+21) : 30 , 39 , 48 , 57 , 66 , 75 , 85 , 93 , 102, 111
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Answer : There are 111 apples
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Domain restrictions are what x values make the denominator zero.
a² + 5a - 36 = (a + 9)(a - 4)
a ≠ -9 ; a ≠ 4
Answer:
The dimension of the open rectangular box is .
The volume of the box is 8.217 cubic inches.
Step-by-step explanation:
Given : The open rectangular box of maximum volume that can be made from a sheet of cardboard 11 in. by 7 in. by cutting congruent squares from the corners and folding up the sides.
To find : The dimensions and the volume of the open rectangular box ?
Solution :
Let the height be 'x'.
The length of the box is '11-2x'.
The breadth of the box is '7-2x'.
The volume of the box is
Derivate w.r.t x,
The critical point when V'(x)=0
Solve by quadratic formula,
Derivate again w.r.t x,
Now, (+ve)
(-ve)
So, there is maximum at x=1.392.
The length of the box is
The breadth of the box is
The height of the box is h=1.392.
The dimension of the open rectangular box is .
The volume of the box is
The volume of the box is 8.217 cubic inches.
Answer:
x -
Step-by-step explanation:
y = x + 10/7
x = y + 10/7
x = y + 10/7
x - 10/7 = y
y = x - 10/7
x -
Answer:
Step 2 contains error in the given problem.
Step-by-step explanation:
Given expression is:
Step 1: identifying the LCM.
The LCM identified is 6.
This step is correct.
In the next step, we multiply the LCM with each term of the equation.
Step 2:
However,
In the given solution, the LCM is not multiplied with each term.
Hence,
Step 2 contains error in the given problem.