42. The permutation formula is P(n, r) = n! / (n - r)!. Given n = 7 and r = 2, we have: 7! / (7 - 2)! = 7! / 5!. This simplifies to 7 * 6 (since 5! cancels out), resulting in 42.
The piece-wise function can be expressed as follows: The base charge for renting the vehicle is $35 per day. If the car is rented for three days or fewer, there’s an insurance surcharge of $10 per day. For rentals over three days, the daily insurance cost drops to $5. Let’s denote the number of days as x. Accordingly, we have: For x ≤ 3, f(x) = 35 × x + 10 × x = x × (45) For x > 3, f(x) = 35 × x + 5 × x = x × (40). Therefore, the charge for renting the vehicle for three days or less is 45·x, and for rentals longer than three days is 40·x.
Response:
In every coordinate plane, the baseline function f(x) = |x| is illustrated by a dashed line while a translation is denoted by a solid line. Which graph depicts the translation g(x) = |x + 2| as a solid line?
In a coordinate plane, the dashed line of the absolute value graph shows a vertex at (0, 0). Meanwhile, a solid line absolute value graph has a vertex at (2, 0).
In a coordinate plane, the dashed line of the absolute value graph has its vertex positioned at (0, 0) while the solid line graph shows a vertex at (0, negative 2).
In a coordinate plane, the dashed line for absolute value has a vertex at (0, 0) while a solid line has a vertex at (negative 2, 0).
In a coordinate plane, the dashed absolute value graph has its vertex at (0, 0) while the solid line version shows a vertex at (0, 2).
Detailed clarification:
I have the same query, please assist.
Answer: Given a population of 500 flies at a certain time we designate as moment
, with brown ebony bodies. Assume there are 200 flies with genotype ee, 150 with Ee, and 150 with EE. Calculate the genotype frequencies for this population without leaving any answers as fractions!
