Answer:
The pin number is 1147
Step-by-step explanation:
We have given that:
Maritza remembers her PIN because it is the product of two consecutive prime numbers that is between 1000 and 1500.
Pin number is between 1000 and 1500
PIN is the product of two consecutive prime numbers.
Prime numbers are those numbers which are divisible by one or itself only.
So,
prime numbers are 1, 3, 5, 7,………29, 31,37, 41, …..
Multiply 29 x 31 = 899 which does not come in the range of 1000 and 1500.
Next,
31 x 37 = 1147 this is between 1000 and 1500
Next
37 x 41 = 1517, which is above 1500.
Thus the pin number is 1147....
Answer:
x = 40
Step-by-step explanation:
Answer: 14
<u>Step-by-step explanation:</u>
f(x) = 3x + 2
To find f⁻¹, swap the x's and y's and solve for y --> Note: f(x) is y
x = 3y + 2
x - 2 = 3y





f(f⁻¹(14)) = f(4)
f(4) = 3(4) + 2
= 12 + 2
= 14
NOTE: the simplified version is .... f and f⁻¹ cancel out, leaving you with 14
Answer:
For the first 30 minutes, we will have a line with a given steepness, this will represent the 30 minutes riding at a fast pace.
Then he stops for 20 minutes, we will represent this with a constant line.
Then he again moves for another 30 minutes, but with a slower pace than in the first 30 minutes, then this line will be less steep than the first line.
A sketch of this situation can be seen below.
AD is perpendicular to BC so slope Ad = -1/slope of BC
Slope of BC = (2 - (-1)) / (- 6- 3) = 3 / -9 = -1/3
So slope of AD = -1 / (-1/3) = -3/-1 = 3 Answer