Julia has been measuring the length of her baby's hair. The first time it was 6 cm long and after one month it was 2 cm longer. If the hair continues to grow at this rate, determine the function that represents the hair growth and graph it.

Given that,

The length of baby's hair at first time = 6cm

After a month, the length was 2 cm longer = 6 + 2 = 8 cm

As mentioned in the question, the hair continues to grow at this rate. Therefore, after two months, the length would be = 8 + 2 = 10 cm

It results in a sequence with a common difference of 2,

6, 8, 10, 12,

If a sequence has a common difference, it is called an arithmetic sequence. In such sequences, the nth term is calculated as:

an = a1 + (n-1)*d

Here,

a1 = first term = 6

d = common difference = 2. (8-6 or 10 - 8 = 2)

Now, put all the values in the equation,

an = a1 + (n-1)*d

an = 6 + (n-1)*2

an = 6 + 2n - 2

an = 2n + 4

an = 2(n+2)

Hence, the function that represents growth is an = 2(n+2).

By varying the value of 'n', you can get the values of 'an'. Both will generate ordered pairs that will help you in plotting. For example:

n = 1

an = 2(n+2) = 2(1+2) = 2 (3) = 6

=> ordered pair (1, 6)

n = 2

an = 2(n+2) = 2(2+2) = 2 (4) = 8

=> ordered pair (2, 8)

n = 3

an = 2(n+2) = 2(3+2) = 2 (5) = 10

=> ordered pair (3, 10)

n = 4

an = 2(n+2) = 2(4+2) = 2 (6) = 12

=> ordered pair (4, 12)

With the ordered pairs, you can plot the graph.

chemists are often responsible for designing a chemical reaction and analyzing the products obtained from it. one significant part of designing a chemical reaction is determining the amount of each reactant that is needed and the amount of each product that will be produced. in order to do so, chemists use stoichiometry, the quantitative relationships between reactants and products.

can someone me: the midsegment through the legs of an isosceles triangle is 4 in. find the sides of the triangle if its perimeter is 20 in. ,   and point g is the centroid of the right △abc with hypotenuse ab=18 in. find cg.