Answer:
b
Step-by-step explanation:
Answer: 1) 5040 and 2) 165
Step-by-step explanation:
1) Here total number of letters = 10
The number of permutations that can be formed using 4 letters at a time
= P (10, 4)
= 
= 
= 
= 
= 10 × 9 × 8 × 7
= 5040
2) Here the total number of machine = 11
The different combinations of machines can Geoff choose from to use
= 
= 
= 
= 
= 11 × 5 × 3
= 165
Linear. When the difference of y values are the same in a function, they are linear.
Answer:
(-∞, 2)
Step-by-step explanation:
<u>Given functions</u>:

Function composition is an operation that takes two functions and produces a third function.
The <u>composite function</u> (f - g)(x) means to subtract function g(x) from function f(x):

To find the interval for which (f - g)(x) is negative, set the new function to <u>less than zero</u> and solve the <u>inequality</u>:

Therefore, the interval for which (f - g)(x) is negative is (-∞, 2).
Learn more about composite functions here:
brainly.com/question/24538829
brainly.com/question/27966754
Answer:
Around 55.9
Step-by-step explanation:
The first step is to find the area of segment of the circle. Since the segment is a 90 degree angle and a total circle is 360, it is a quarter of the area of a circle. Therefore, you can find its area with the formula
. Now, you can find the area of the triangle inside. Since all of the radii in a circle are the same length, the triangle has two sides of length 14. Using the triangle area formula, you get an area of 14*14/2=98 square centimeters.
square centimeters. Hope this helps!