Answer:
2 t-shirts ; 1 collar shirt
Step-by-step explanation:
We need to first obtain the ratio of T - shirts to collar shirts :
T - shirts = 10
Collar shirts = 5
Ratio = T - shirts / Collar shirts = 10 / 5 = 2 /1 = 2:1
Hence, using the ratio obtained ; if Jake buys 3 new shirts :
Number of T-shirts :
(Ratio of t-shirts / total ratio) * new t-shirts
2/3 * 3 = 2 t-shirts
Collar shirts :
1/3 * 3 = 1
2 t-shirts ; 1 collar shirt
98^2 = (100-2)^2
Using (a-b)^2, we have
= (100)^2-2(100)(2)+(2)^2
= 10000-400+4
= 10004-400
= 9604
The answer is 9604.
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Answer:

Step-by-step explanation:
Notice that the series: 1 - 3 + 9 - 27 +... clearly has powers of the factor 3 in its terms and it is also an alternate series (the terms alternate from positive to negative). The terms are positive for
(even terms) , while the odd terms
are negative. (so most likely there should be a factor (-1) in the common ratio.
We can then represent it with the following summation expression:
given that each of its first four terms are:

Answer:
y+2 = -4/5(x-3)
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point
y - -2 = -4/5(x-3)
y+2 = -4/5(x-3)
Given:
The equation is:

To find:
The value of n in terms of x.
Solution:
We have,

It can be written as

![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
On comparing the exponents, we get

Add 1 on both sides.


Divide both sides by 2.

Therefore, the value of n is terms of x is
.