To find the difference of 5 1/8 and 2 1/5 I would first turn the mixed numbers into improper fractions. Therefore, I would have 41/8 - 11/5. Then, I would find a common denominator which would be 40. I would have 205/40 - 88/40 and I would end up with 117/40.
Can you please help me answer my question? I already asked it but it hasn't been answered. It is fro social studies: What were some accomplishments of Montezuma?
Total surface area = 2 * circular base + circumference * height
= 2 * pi*(4)^2 + 8pi * 12
= 32pi + 96pi
= 128pi answer
Using translation concepts, it is found that the transformations to create function d are given as follows:
- Horizontal shift right 1 unit.
- Vertical shift up 5 units.
- Frequency multiplied by 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent cosine function is given by:
f(x) = cos(x).
The translated function is given by:
d(x) = cos(2x - 1) + 5.
Which means that:
- 1 was subtracted in the domain, hence the was a horizontal shift right 1 unit.
- 5 was added in the range, hence there was a vertical shift up 5 units.
- There was a multiplication by 2 in the domain, hence the frequency is multiplied by 2.
More can be learned about translation concepts at brainly.com/question/4521517
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