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
Hello!
10% off means there's a discount on the jacket, so we will be finding how much the discount is worth and then we'll subtract that from the original cost of the jacket.
Sales tax is basically additional money added to the cost of an item, so we will find what the sales tax is on this and then add that to the cost.
59.27 * 10% = 5.927
59.27 - 5.927 = 53.343
Now, find and add the sales tax.
53.343 * 7% = 3.73401
53.343 + 3.73401 = 57.07701
Round this to 57.1
The total cost of the jacket is $57.1.
Hello.
For all dilution problems use the dilution equation:
<span>C1V1 = C2V2 </span>
<span>20*V1 = 6*55 </span>
<span>V1 = 6*55/20 </span>
<span>V1 = 16.5 gallons </span>
<span>The final volume must be 16.5 gallons </span>
<span>You must add 16.5 - 6 = 10.5 gallons water to be added.
</span>
Have a nice day
Answer:
cos P = 53 degrees
cos Q = 37 degrees
Step-by-step explanation:
cos P = 
cos P = 
cos P = 0.60
Cos-1 of 0.60 is 53.13 (round to the nearest whole number)
cos P = 53 degrees
cos Q =
cos Q = 
cos Q = 0.80
Cos of 0.80 is 36.86 (round to the nearest whole number)
cos Q = 37 degrees
To check anser:
90 + 53 + 37 = 180
180 = 180
<span>Simplifying
4x = 92
Solving
4x = 92
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '4'.
x = 23
Simplifying
x = 23</span>
