Answer: Hi. I am sorry if this is a late answer, but here are the answer's I have. I just took the test so I am pretty sure these are correct:
#1.
2(5^e)
#3.
B) f(t)=478(0.935)^t
I am so sorry but I don't have the answer for question #2. I hope you figure it out or someone else can help you. I hope I helped. Good Luck!
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Answer:
Step-by-step explanation:
A) From the order of the exercise we already know that the intersection points lies on the Y-axis, so its coordinates are P(0;y;0). In order to find it, we only need to substitute the equation 4x+4z=0 into the equation 4x+3y+4z=1. Then,
1=4x+3y+4z = 3y + (4x+4z)= 3y+0.
From the expression above it is easy to obtain that y=1/3, and the intersection point is P(0;1/3;0).
B) To obtain the parallel vector to both planes we use the cross product of the normal vector of the planes.
![\left[\begin{array}{ccc}i&j&k\\4&3&4\\4&0&4\end{array}\right] = 12i-0j+12k](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Di%26j%26k%5C%5C4%263%264%5C%5C4%260%264%5Cend%7Barray%7D%5Cright%5D%20%3D%2012i-0j%2B12k)
As we want a unit vector, we must calculate the modulus of u:
.
Thus, the wanted vector is
. Therefore,
.
C) In order to obtain the vector equation of the intersection line of both planes, we just need to put together the above results.

where
is a real number.
What's the formula????????
Since each unit cube I gives the value of oneI would multiply 48x1.Your answer would be 48
Answer:
549.8 inches³
Step-by-step explanation:
Volume of Cylinder = height × base, where base =
r².
The radius (r) is given, 5 inches, and so is the height, 7 inches.
We simply substitute these values into the equation.
V(volume) = 7 ×
× 5²
= 175
= 549.77871437821...
when we round that to the nearest tenth,
≈ 549. 8