Answer:
9.45
Step-by-step explanation:
3.5 x 2.7 = 9.45
Answer:
7 units to the left of 3 is your answer.
Hope this helps!
The recursive formula will be equal to f(n + 1) = –2 f(n).
The complete question is given below:-
Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?
3, –6, 12, –24, 48, …
f (n + 1) = –3 f(n )
f (n + 1) = 3 f(n )
f (n + 1) = –2 f(n )
f (n + 1) = 2 f(n)
<h3>What is a function?</h3>
A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
The recursive formula for this sequence is calculated as we will put the different values of n to find the values of the function in the series.
n = 1
f(n) = 3
n = 2
f(2) = -2 (3) = -6
n = 3
f(3) = -2 (-6) = 12 and so on
Therefore the recursive formula will be equal to f(n + 1) = –2 f(n).
To know more about function follow
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Answer:
15) 3.2
17) 13.4
Step-by-step explanation:
To find the missing lengths, you need to use the Pythagorean theorem:
a² + b² = c²
In this form, "c" represents the length of the hypotenuse and "a" and "b" represent the lengths of the other two sides.
You are trying to find one of the side lengths (not the hypotenuse) in 15). To find the other length, you can plug the other values into the equation and simplify to find "b".
15) a = 4.1 c = 5.2
a² + b² = c² <----- Pythagreom Theorem
(4.1)² + b² = (5.2)² <----- Plug values in for "a" and "c"
16.81 + b² = 27.04 <----- Raise numbers to the power of 2
b² = 10.23 <----- Subtract 16.81 from both sides
b = 3.2 <----- Take the square root of both sides
You are trying to find the hypotenuse in 17). Since you have been given the lengths of the other sides, you can plug them into the equations and simplify to find "c".
17) a = 4.4 b = 12.7
a² + b² = c² <----- Pythagreom Theorem
(4.4)² + (12.7)² = c² <----- Plug values in for "a" and "b"
19.36 + 161.29 = c² <----- Raise numbers to the power of 2
180.65 = c² <----- Add
13.4 = c <----- Take the square root of both sides