Answer:
100000 4-digit codes
Step-by-step explanation:
using the digits 0 dash 9, we want to pick 4 digits code.
The total number of digits available for us to pick from is 10(0 to 9 has 10 digits). We want to pick the 4 digits code and repetition is allowed. This is a case where we apply permutation with repetition. It is different when repetition is not allowed. It gives more possible outcomes than when repetition is not allowed. We will apply the formula, n^r
Where n is the total number of digits we want to choose from and it is equal to 10
r is the number of digits we can choose and it is equal to 4.
Number of possible 4 digit codes
= 10^4 = 100000
Answer:
14
Step-by-step explanation:
Jack drove 278.2 miles on 19.6 gallons of gasoline. then
278.2 miles - 19.6 gallons
x miles - 1 gallon
Write a proportion:
Cross multiply:
Answer:
f(9) = 72
Step-by-step explanation:
This is a piecewise function. You have to establish what part to plug in your x value based on the designations given in the function. In this case, x=9.
9>6, so we would follow the bottom designation! When writing the function, turn every "x" into a 9.
f(x) = 8x
f(9) = 8(9)
f(9) = 72
Hope this helps you out :)!
You would add the y's together and then you have your answer and then answer is -2y-4
To find out if a triangle is a right triangle, you can use the Pythagorean theorem(which can only be used for right triangles):
a² + b² = c² (c is the hypotenuse or the longest side) And you can plug in the side lengths into this equation. If they are the same number on both sides, it is a right triangle, if they are different numbers it is not a right triangle.
6.) a² + b² = c²
(4√3)² + (11)² = (13)²
(16(3)) + 121 = 169
48 + 121 = 169
169 = 169 It IS a right triangle
7.) a² + b² = c²
(5)² + (2√14)² = (9)²
25 + (4(14)) = 81
25 + 56 = 81
81 = 81 It IS a right triangle
8.) a² + b² = c²
(6)² + (√49)² = (√82)²
36 + 49 = 82
85 = 82 It is NOT a right triangle
9.) a² + b² = c²
(13)² + (2√39)² = (16)²
169 + (4(39)) = 256
169 + 156 = 256
325 = 256 It is NOT a right triangle