Solution:
As we given that
then using this conversion factor we can write 
and further it can be written as

Hence the required conversion factor is 2.54 cm/1 inch as we can see from the above calculation.
Answer:log₂(

)
Explanation:Before we begin, remember the following:logₐ(x) - logₐ(y) = logₐ(

)
alog(x) = log(xᵃ)
Now, for the given we have:3 log₂(x) - (log₂3 - log₂(x+4))
log₂(x²) - log₂(

)
log₂(

) = log₂(

)
Hope this helps :)
Answer:
rs = -3/16 and the three minima x₁, x ₂ and x₄ fall at the value of integrating curve C
Step-by-step explanation:
The answer is found in the attachment.
Answer: option d. C (0,3), D (0,5).
Justification:
1) The x - coordinates of the vertices A and B are shown in the diagrama, They are both - 4, so the new vertices C and D must be in a line parallel to y = - 4.
2) The y-coordinates of the vertices A and B are also shown in the diagrama. They are equal to 3 and 5 respectively.
3) We can see that the new points C and D must be over a parallel line to y = - 4 and that their distance to the points A and B has to be the same distance of the point R and S to U and T.
That distance is 4, so the line may be y = - 7 or y = 0.
4) If the line is y = 7 the points C and D would have coordinates (-7,3) and (-7,5), but this points are not among the options.
5) If the line is y = 0 the points C and D would have coordinates (0, 3) and (0,5), which is precisely the points of the option d. That is the answer.
Answer:
In this item, we are given that out of 12 ounces of ingredients comprising the milkshake, there are 4 ounces vanilla. Expressing this into fraction will give us an answer of 4/12. This fraction can be one of the answers. Since we are asked for two fractions, we can simplify 4/12 such that we get an equivalent fraction that is equal to 2/6. Hence, the answers to this question are 4/12 and 2/6.
Step-by-step explanation: