Answer:
Part a) The rule of the sequence is 
Part b) The height of the ball will be 
Step-by-step explanation:
Part a) Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
we know that
In a <u>Geometric Sequence</u> each term is found by multiplying the previous term by a constant called the common ratio (r)
In this problem we have a geometric sequence
Let
n-----> the number of path
a1 ----> is the initial height
r -----> the common ratio
we have
The rule for the sequence is equal to
substitute
Part b) What height will the ball be at the top of the third path?
For n=3
substitute in the equation
Answer:
The initial value of the function is <u>2</u>
The base of the function is <u>3</u>
The function shows exponential <u>growth</u>
Step-by-step explanation:
f(x) = 2(3^x)
Exponential functions are those with the following equation:
y = a*b^x
where a ≠ 0, b > 0 and b ≠ 1 and x is a real number.
<em>a</em> is the y-intercept and <em>b </em>is the base.
The initial value of the function is the same as the y-intercept
If <em>a</em> is positive, the function growth. If <em>a</em> is negative, the function decay
Step-by-step explanation:
The rule for a 90 degree counterclockwise is
(x,y) -> (-y,x)
so
C(-1,2) -> C'(-2,-1)
D(3,5) -> D'(-5,3)
E(1,2) -> E'(-2,1)
Answer:
4/8.
Step-by-step explanation:
4/8 is the correct answer for this question. This is why. If you take 8 and divide it in half, your answer will be 4. Also because fractions are division so the fraction 8/2 equals 4. This means the 1/2 mark is equal to 4.
