Answer:
C
Step-by-step explanation:
a (5) = c (4)
5 x 4 = 20
20 (total) divided by the 5 apples is $4.
Answer:

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel
And the anfle is approximately 
Step-by-step explanation:
For this case first we need to calculate the dot product of the vectors, and after this if the dot product is not equal to 0 we can calculate the angle between the two vectors in order to see if there are parallel or not.
a=[1,2,-2], b=[4,0,-3,]
The dot product on this case is:

Since the dot product is not equal to zero then the two vectors are not orthogonal.
Now we can calculate the magnitude of each vector like this:


And finally we can calculate the angle between the vectors like this:

And the angle is given by:

If we replace we got:

Since the angle between the two vectors is not 180 or 0 degrees we can conclude that are not parallel
And the anfle is approximately 
This would be considered a reasonable estimate because if you were to use estimation, you can round 289 to the nearest hundred (300), which is divisible by 60. When dividing 300 / 60, you will get 5 hours, which is 0.5 greater than 4.5 therefore making it a reasonable estimate. In addition, when actually dividing 289 / 60, you will get approximately 4.8 hours, which is close to the estimate, 4.5 hours.
Answer:
<u>Number of students:</u>
<u>Total of marks:</u>
- 5*6 + 4*7 + 7*8 + 10*9 + 4*10 = 244
<u>Mean mark:</u>
Answer:
see below
Step-by-step explanation:
For a vertical scale factor of 'b', and a translation by (h, k) in the (right, up) direction, the transformed function is ...
g(x) = b·f(x -h) +k
For a scale factor of 1/2 and translation left 3 and down 2, the transformed function is ...
g(x) = (1/2)f(x +3) -2
g(x) = (1/2)5^(x +3) =2 . . . . matches the 2nd choice