Answer: The first and last options are correct
Explanation:
The recursive formula is written in terms of the previous term of the sequence. From the information given,
the Arnold's are going to save a nickel on the first day of the month and double the amount each day of the month. Thus, the recursive formula would be
where
an - 1 defines a previous term
To write the explicit formula, we would apply the formula for finding the nth term of an arithmetic sequence which is expressed as
An = ar^(n - 1)
where
a is the first term of the sequence
n is the number of terms
r is the common ratio between consecutive terms
Thus,
r = 2 because the amount is doubling each day
n = number of days
a = value of 1 nickel = $0.05
By substituting these values into the formula,
the explicit formula is
A(n) = 0.05(2)^n - 1
the perimeter of quadrilateral ABED is 36.
<h3 /><h3>What is circumference?</h3>
A circumference is the total distance around a plane shape. Another name for circumference is called perimeter
To calculate the circumference of the quadrilateral, we use the formula below.
Formula:
- Peri. of ABED = /AB/+/BE/+/ED/+/DA/............. Equation 1
From the Diagram,
Given:
- /AB/ = /DC/ = 8 cm,
- /BE/ = 2×/DA/ = 2×6 = 12 cm
- /ED/ = √(6²+8²) = √(36+64) = √100 = 10 cm
- /DA/ = 6 cm
Substitute these values into equation 1
- Peri. of quadrilateral ABED = 8+12+10+6
- Peri. of quadrilateral ABED = 36 cm
Hence, the perimeter of quadrilateral ABED is 36.
Learn more about circumference here: brainly.com/question/20489969
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Answer:
The measure of ∠EFG is 52°
Step-by-step explanation:
Given line m is parallel to line p. m∠HEF = 39º and m∠IGF = 13º.we have to find m∠EFG.
In ΔJFG,
By angle sum property of triangle, which states that sum of all angles of triangle is 180°
m∠FJG+m∠JGF+m∠JFG=180°
⇒ 39°+13°+m∠JFG=180°
⇒ m∠JFG=180°-39°-13°=128°
As JFE is a straight line ∴ ∠JFG and ∠EFG forms linear pair
⇒ m∠JFG+m∠EFG=180°
⇒ 128°+m∠EFG=180°
⇒ m∠EFG=52°
The measure of ∠EFG is 52°
Answer:
x = 1 because when you multiply negative 2 by negative six you get twelve. when you multiply positive one by negative six you get negative six.
