Answer:
60
Step-by-step explanation:
You want to then multiply 5*4*3 to represent the different combinations we can make for each place. This gives us a total of 60 different possible ways that the runners can come in 1st, 2nd, and 3rd place, assuming no ties.
Answer:
Of(7) = f(1) + 24
Step-by-step explanation:
Since this Arithmetic Sequence can be written recursively as a function, then we can write the whole sequence, by adding the common difference to the previous function. So writing it as an Arithmetic formula is (placing an example, with a common difference of 4 units):

Answer:
n =
, n = 
Step-by-step explanation:
6n² - 5n - 7 = - 8 ( add 8 to both sides )
6n² - 5n + 1 = 0 ← in standard form
Consider the product of the factors of the coefficient of the n² term and the constant term which sum to give the coefficient of the n- term
product = 6 × 1 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the n- term
6n² - 3n - 2n + 1 = 0 ( factor the first/second and third/fourth terms )
3n(2n - 1) - 1(2n - 1) = 0 ← factor out (2n - 1) from each term
(2n - 1)(3n - 1) = 0 ← in factored form
Equate each factor to zero and solve for n
3n - 1 = 0 ⇒ 3n = 1 ⇒ n = 
2n - 1 = 0 ⇒ 2n = 1 ⇒ n = 
Answer:
0.75 cup = 0.1763 liters
Step-by-step explanation:
From the question:
Using the conversion factors given in question
We are converting
0.75 cup to liters
Step 1
Convert cups to pint
1 cup = 0.5 pints
0.75 cup = x pints
x = 0.75 × 0.5 pints
x = 0.375 pints
Step 2
Convert pints to Quart
1 pints = 0.5 quart
0.375 pint = x quart
Cross Multiply
x quart = 0.375 × 0.5 quart
x quart = 0.1875 quart
Step 3
Convert from quart
1 quart = 0.94 liter
0.1875 quart = x liter
Cross Multiply
x liter = 0.1875 × 0.94 liter
x liter = 0.17625 liters
Approximately to 4 significant figures= 0.75 cup = 0.1763 liters
Answer:
-6.5
Step-by-step explanation:
x + 3.6 = -2.9
x= -6.5