8 thousand dollars because if the scholarship is worth 4,000 then double it and the annual tuition would be 8,000
Answer:
Correct option: d -> 40,320
Step-by-step explanation:
To find all the arrangements of letters in a word where all the letters are different, we just need to calculate the factorial of the number of letters.
The word "grateful" has 8 different letters, so the number of arrangements of letters is:
8! = 8*7*6*5*4*3*2 = 40,320 different arrangements
Correct option: d
The value of the function at x = -1 is 5
<h3>What is function?</h3>
Function can be defined as an expression, rule, or law that defines a relationship between one variable known as the independent variable and another called the dependent variable.
From the information given, we have that;
f (x) = 3 (2)x with x=-1
Now, let's substitute the value of x as - 1 in the function given;
f (x) = 3 (2)x
f (x) = 3 (2) -1
Expand the bracket;
f (x) = 6 - 1
f(x) = 5
Thus, the value of the function at x = -1 is 5
Learn more about functions here:
brainly.com/question/6561461
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Answer:
x = 25
Step-by-step explanation:
The interior angle adjacent to the 123° angle is supplementary to it.
Its measure is 180° - 123° = 57°
The sum of the measures of the interior angles of a polygon is
(n - 2)180° = (4 - 2)180° = 2(180°) = 360°
3x + 7 + 96 + 5x + 57 = 360
8x + 160 = 360
8x = 200
x = 25