Recall that rational numbers are numbers that can be represented as the ratio, or fraction, of two integers. When expressed as d
2 answers:
Answer:
1) =0.3571428571 2) Terminating
Step-by-step explanation:
1st. To answer this question let's divide with long division algorithm 5 and -14.
<u> 0.3571428571</u>
-14)50
42
---
80
-70
--
100
98
---
20
14
----
60
-56
---
40
28
--
120
-112
----
80
70
--
100
-98
--
2
5 (dividend) : -14 (divisor)
Long division (check below)
With the same two numbers -14 and 5 we can write in a Long Division
5) -14
<u> - 2.8</u>
5) -14
10
40
So
2nd. Both are terminating ones for they have finite quantities of numbers. -2.8 and 0.3571428571, as we can see that these are rational numbers for they can be written as a/b, and b≠ 0.
form.
form.
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Answer:
a) the trigonometric function is;
b) ( to two decimal places)
Step-by-step explanation:
This data can be represented by the sinusoidal function of the form :
where A = amplitude and which can be determined via the formula:
A = 7.5° C
where B = the frequency;
Since the data covers a period of 3 days ; then
( where 365 is the time period )
The vertical shift is found by the equation D;
D =
D =
D = 21.5
Replacing the values of A ; B and D into the above sinusoidal function; we have :
From the question; when it is 7th of the year ( i.e January 7);
t = 7 and the temperature (y) = 29° C
replacing that too into the above equation; we have:
Thus; the trigonometric function is;
Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :
( to two decimal places)