Answer:
![\frac{463}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B463%7D%7B3%7D)
Step-by-step explanation:
The given geometric series is:
243-162+108.....+64/3
The first term is
.
The common ratio is:
![r=\frac{-162}{243}=-\frac{2}{3}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B-162%7D%7B243%7D%3D-%5Cfrac%7B2%7D%7B3%7D)
The sequence is finite, so we can generate all the terms by repeatedly multiplying by the common ratio until we get to the last term.
The complete series is
243-162+108-72+48-32+64/3
The sum is:
![243+108+48+64/3-162-72-32=\frac{463}{3}](https://tex.z-dn.net/?f=243%2B108%2B48%2B64%2F3-162-72-32%3D%5Cfrac%7B463%7D%7B3%7D)
You have 27 foot fence left, so if you make that into a fraction it would be 3/4.
Answer:
The remaining credit after 45 minutes of calls is $18.70
Step-by-step explanation:
Here, we have a linear model to work with
Let us have the coordinates as follows;
(time calling time, credit remaining)
So we have two points as follows;
(24,21.64) and (35,20.10)
The slope will be;
(20.1-21.64)/(35-24) = -1.54/11 = -0.14
So the equation looks like;
y = -0.14x + c
To get the y-intercept, we simply substitute a point
Let us use (35,20.10)
20.10 = -0.14(35) + c
c = 20.10 + 4.9
c = 25
So the full equation is;
y = -0.14x + 25
So for 45 minutes, simply substitute 45 for x
We have this as:
y = -0.14(45) + 25
y = -6.3 + 25 = $18.70
Answer:
Second choice
Explanation :
The postulate that is used in order to prove the congruency of the triangles is the ASA which means (Angle – Side – Angle). The property that is applicable for the congruency of DB to itself is the reflexive property. Therefore, the answer to this item is the second choice.
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Answer:
1/8 of a kilogram of couscous.
Step-by-step explanation:
With the information given, to be able to determine the kilograms of couscous that each person gets, you have to divide 1/4 kilogram that is the amount that the man has by 2:
÷2=
*
=![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
According to this, the answer is that each person gets 1/8 of a kilogram of couscous.