log(2t+4)=log(14-3t)
[Divide both sides with log, since both sides have log, division removes the log]
2t+4=14-3t
2t+3t=14-4
5t=10
t=2
We write the equation in terms of dy/dx,
<span>y'(x)=sqrt (2y(x)+18)</span>
dy/dx = sqrt(2y + 18)
dy/dx = sqrt(2) ( sqrt(y + 9))
Separating the variables in the equation, we will have:
<span>1/sqrt(y + 9) dy= sqrt(2) dx </span>
Integrating both sides, we will obtain
<span>2sqrt(y+9) = x(sqrt(2)) + c </span>
<span>where c is a constant and can be determined by using the boundary condition given </span>
<span>y(5)=9 : x = 5, y = 9
</span><span>sqrt(9+9) = 5/sqrt(2) + C </span>
<span>C = sqrt(18) - 5/sqrt(2) = sqrt(2) / 2</span>
Substituting to the original equation,
sqrt(y+9) = x/sqrt(2) + sqrt(2) / 2
<span>sqrt(y+9) = (2x + 2) / 2sqrt(2)
</span>
Squaring both sides, we will obtain,
<span>y + 9 = ((2x+2)^2) / 8</span>
y = ((2x+2)^2) / 8 - 9
Volume of square pyramid can be calculated by the formula :
V=
a is the length of base and h is the height of the pyramid.
In the given figure a= x in.and h = 
in.
Volume of pyramid given V =486 cubic inches.
Substituting these values in volume of pyramid we have:
486= 
÷ 3
Or 486=
486= 
Multiplying both sides by 12
5832 =
Or x= 18 in.
Answer:
Try D) rotation 180 degrees about the origin.
Step-by-step explanation:
When you look at it, it appears to move 180 degrees about that origin.
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Answer:
the LCM would be 8 based on the following set of multiples: Multiples of 2: 2, 4, 6, 8, 10, 12, 14, ... Multiples of 8: 8, 16, 24, 32, 40, 48, 56, ...
Step-by-step explanation:
