1) f(x) + g(x)
= 7√x + 4 + 2√x - 2
= √x(7 + 2) + 2
= 9√x + 2 [ Final Answer ]
2) f(x) - g(x)
= 7√x + 4 - (2√x - 2)
= 7√x + 4 - 2√x + 2
= √x(7 - 2) + 6
= 5√x + 6 [ Final Answer ]
Hope this helps!
Look at the face of the pyramid facing you. The length of the base of this pyramid is 82 m; half of that is 41 m.
If you were to draw a straight vertical line through the vertex of the pyramid, the bottom of this line would be at the very center of the base and also be 41 in perpendicular distance from any of the edges of the base of this pyramid.
Let the height of the pyramid be y, as measured upward from the center of the base of the pyramid. This center is, as before, 41 m from any side of the pyramid base, a horiz. distance.
Then, tan 52 deg = y / 41 m, and so y = height of pyramid =
(41 m)(tan 52 deg) = (41 m) (1.28) = 52.48 m
Answer:
.
Step-by-step explanation:
Using first order linear differential equation:
finding integrating factor:
I.F = 
I.F =
now,
hence the solution is
Answer:
1. move the constant to the right hand side to change its sign.
2.add the numbers.
3. using the absolute value definition rewrite the absolute value equation as two separate equations.
4.slove the equation for X
Step-by-step explanation:
it has two solutions
x=8
x= -9
the answer should be X1= 9, x2 =8
They will require between 18.42 and 31.58 minutes.
We want the middle 90%. The two probability values associated with this would be 0.95 and 0.05; this would leave 5% below and 5% above, giving us the middle 90%.
Using a z-table (http://www.z-table.com) we see that the z-score associated with an area to the left of 0.05 is between -1.64 and -1.65; since it is equally distant from both we will use -1.645.
The z-score associated with an area of the left of 0.95 is between 1.64 and 1.65; since it is equally distant from both we will use 1.645.
The formula for a z-score is
z = (X-μ)/σ
-1.645 = (X-25)/4
Multiplying by 4 on both sides,
-1.645(4) = X-25
-6.58 = X-25
Adding 25 to both sides,
-6.58+25 = X
18.42 = X
For the upper bound,
1.645 = (X-25)/4
Multiplying both sides by 4,
1.645(4) = X-25
6.58 = X-25
Adding 25 to both sides,
6.58+25 = X
31.58 = X
The times are between 18.42 and 31.58 minutes.
