Answer: 25 faces
Step-by-step explanation:
Given
6 cubes are stacked over each other
Mr. Smith wants to count the number of faces
The faces which are in contact with each other are not visible to Mr. smith i.e. there will be 5 cubes with only 4 faces available and only one cube with 5 faces available, that is placed on the top.
No of visible faces
![\Rightarrow 4\times 6+1\quad \quad [\text{6 cubes with 4 faces visible+face of top cube}]\\\Rightarrow 25\ \text{faces}](https://tex.z-dn.net/?f=%5CRightarrow%204%5Ctimes%206%2B1%5Cquad%20%5Cquad%20%5B%5Ctext%7B6%20cubes%20with%204%20faces%20visible%2Bface%20of%20top%20cube%7D%5D%5C%5C%5CRightarrow%2025%5C%20%5Ctext%7Bfaces%7D)
Part A.
What we can do to solve this problem is to assume that
the acceleration of Bryan is constant so that the velocity function is linear.
The standard form of a linear function is in the form:
y = m x + b
or in this case:
v = m t + b
where v is velocity and t is time, b is the y –intercept of
the equation
The slope m can be calculated by:
m = (v2 – v1) / (t2 – t1)
m = (12 – 15) / (7 – 4)
m = -1
Since slope is negative therefore this means the cyclist
are constantly decelerating. The equation then becomes:
v = - t + b
Now finding for b by plugging in any data pair:
15 = - (4) + b
b = 19
So the complete equation is:
v = - t + 19
This means that the initial velocity of the cyclists at t
= 0 is 19 km / h.
Part B. What we can do to graph the equation is to
calculate for the values of v from t = 0 to 12, then plot all these values in
the Cartesian plane then connect the dots.
Answer:
C.y=sin(x-2)
Step-by-step explanation:
Using the topic of transformation of functions(rules shown in picture above)
the the (x-2) moves the graph to places to the right
and as the sine graph goes through 0 and so you add 2 to the right (but there is a problem in the graph should in the picture as it should me labeled 0,90,180,270,360 not these small numbers)
hope it helps!! :)
We have
-9 + 7 = -2
You can also rewrite this as
7 - 9 = -2
If it makes you more comfortable.
Hope this helps.
Due to the nature of spheres, they are all similar to each other.