Answer:
f (x) = x2 shows us that function " f " takes " x " and squares it. Example: with f (x) = x2: becomes an output of 16. In fact we can write f (4) = 16. The "x" is Just a Place-Holder! Don't get too concerned about "x", it is just there to show us where the input goes and what happens to it.
An equation is formed of two equal expressions. The number of rows in the original pattern will be 4.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of rows be represented by x. Now, the pattern has rows that are 5 tiles wide and an unknown number of rows. if you take these tiles and add one additional tile, you can create a pattern that has rows that are 3 tiles wide, with 3 more total rows than the original pattern. Therefore, we can write,
(Number of Tiles before) + 1 tile = (Number of Tiles afterward)
5x + 1 = 3(x+3)
5x + 1 = 3x + 9
5x - 3x = 9 - 1
2x = 8
x = 4
Hence, the number of rows in the original pattern will be 4.
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Larger by 3 means that the legnths of the sides are larger by 3 times
so we have a cube that has area of 400
surface area=legnth times width times 6 since it is a cube and legnth=width
so
SA=w^2 times 6
6w^2=400
divide by 6
w^2=200/3
square root both sides
w=√(200/3)
so w is 3 times larger
(3w)^2 times 6 is new area
w=√(200/3)
(3√(200/3))^2 times 6=9(200/3) times 6=600 times 6=3600
answer is 3600 ml^2
There are 26 letters with 5 vowels. That is a 5/26 chance of randomly picking a vowel. Hope this is helpful!
Answer:
Step-by-step explanation:
Given
There are 10 men and 5 women in a conference room
total People=15
(a)Probability that the committee consists of 2 men and 2 women
we have to select from 10 men and 5 women
![P=\frac{^5C_2\times ^{10}C_2}{^{15}C_4}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%5E5C_2%5Ctimes%20%5E%7B10%7DC_2%7D%7B%5E%7B15%7DC_4%7D)
(b)Bob and Jane end up on the same committee
as bob and Jane are necessary to include so there are 4 women and 9 men left to select remaining 2 person
![P=\frac{^{13}C_2}{^{15}C_4}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%5E%7B13%7DC_2%7D%7B%5E%7B15%7DC_4%7D)
(c)Bob is in the committee but Jane is not
9 men and 4 women left to choose other 3 person
![P=\frac{^{13}C_3}{^{15C_4}}](https://tex.z-dn.net/?f=P%3D%5Cfrac%7B%5E%7B13%7DC_3%7D%7B%5E%7B15C_4%7D%7D)