Answer:

Step-by-step explanation:
Geometric sequence
Each term in a geometric sequence can be computed as the previous term by a constant number called the common ratio. The formula to get the term n is

where
is the first term of the sequence
The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as
amount in hour n = amount in hour n-1 * 0.91
a)
This information provides the necessary data to write the general term as

b)
In the 8th hour (n=8), the remaining medicine present is Georgie's body is



Answer:
three (3)
Step-by-step explanation:
4x is the first term
-4 is the second term
3y is the third term
A)46. Take 42 and divide it by 3. Then multiply 14 by 4.
b)2:1. There are 2 wings for every 1 beak on a bird.
c)15 minutes. multiply 50 times 60 and that's how many times it beats per minute. Then divide 45000 by that number and that's how many minutes it should take.
d) 28%. You have to add all the students together, and you get 200. Then you divide 56 by 200.
Answer:
That's all you're doing is writing the equation for two lines and finding out where they intersect. The slope is how much the price is increasing or decreasing and the y-intercept is where the price is starting at.
x = number of hours
y = mx + b = 0.12(x + 3) + 15.21 {It's (x + 3) because we have to add the 3 hours between 9 and noon}
y = mx + b = -0.11x + 15.96 {The slope is negative because the price is decreasing}
Set them equal to each other
0.12(x+3) + 15.21 = -0.11x + 15.96
Now solve for x
0.12x + 0.36 + 15.21 = -0.11x + 15.96
0.12x + 15.57 = -0.11x + 15.96
0.12x + 0.11x = 15.96 - 15.57
0.23x = 0.39
x = 0.38 / 0.23 = 1.7 hours
Convert 0.7 into minutes
0.7 hours * (60 min / 1 hour) = 42 min
So the prices are the same 1 hour and 42 min after noon, which is 1:42 PM
Step-by-step explanation:
The cows of Argentina needs an approximate area of 4200 m² for grazing, and there is a total of 4500 cows.
And we are asked to find the total area of their grazing but in hectares. So, we can write:

Then, for 4500 cows:


We know that, 1 hectares = 10000 m² = 10⁴ m²
Then let the area of the field be x in hectares:


Then, putting them in proportion, We will get:


So, the total area in hectares = <u>1</u><u>8</u><u>9</u><u>0</u><u> </u><u>hectares</u><u>.</u>
And we are done !!
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