Answer:
a) yes b) no c) no
Step-by-step explanation:
In order to know this, remember something: to do the division between a number and a rational number like this and with zero to the left, the best way to solve them is converting these number to a natural number.
To do that, you only need to multiply the number by 10, 100, 1000, depending of how many decimals it have.
In case a) 0.05 has two decimals, therefore we multiply by 100:
0.05 * 100 = 5
However, when you do that, you have to do the same thing with the number in the dividend, in this case, 1.4:
1.4 * 100 = 140
So we can conclude that 1.4 you have to add a zero to do the division.
Case b) and c) do not apply, in both cases we multiply by 10 and we get this:
25.2 and 6,
26.1 and 3.
Answer:
It takes the word processor 117 minutes to word process and spell check 27 pages.
Step-by-step explanation:
With the information provided, you can use a rule of three to find how long it would take to word process and spell check 27 pages given that it takes 26 minutes to word process and spell check 6 pages:
6 pages → 26 minutes
27 pages → x
x=(27*26)/6=117 minutes
According to this, the answer is that it takes the word processor 117 minutes to word process and spell check 27 pages.
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Answer:
-1/5n + 7 = 2
Start by subtracting 7 from both sides:
-1/5n + 7 - (7) = 2 - (7)
-1/5n = -5
Multiply both sides by the reciprocal of -1/5, or -5.
(-5) · (-1/5n) = (-5) · (-5)
n = 25
Method A: If we count, we see that the answer is 31.
Method B: 19 - -12 = 31. We can even do -12 - 19 and we'll get the same answer: -31, and the absolute value of -31 is 31.
Both methods will give you the same answer.
The two parabolas intersect for
and so the base of each solid is the set
The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas, 
. But since -2 ≤ x ≤ 2, this reduces to 
.
a. Square cross sections will contribute a volume of
where ∆x is the thickness of the section. Then the volume would be
where we take advantage of symmetry in the first line.
b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of
We end up with the same integral as before except for the leading constant:
Using the result of part (a), the volume is
c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is
and using the result of part (a) again, the volume is
