The expression involving exponents to represent the shaded area in square inches of the diagram is: 6²- (3² + 2²). The shaded area in squares inches of the diagram is: 23 square inches.
<h3>Expression involving exponents and shaded area</h3>
The expression is:
6²- (3² + 2²)
The shaded area:
Shaded area=6²- (3² + 2²)
Shaded area=36-(9+4)
Shaded area=36-13
Shaded area=23 square inches
Therefore the expression involving exponents to represent the shaded area in square inches of the diagram is: 6²- (3² + 2²). The shaded area in squares inches of the diagram is: 23 square inches.
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Answer:
position 1 5 8 12 19 25
term -8 8 20 36 64 88
Step-by-step explanation:
(n - 1) is position ( n ∈ N)
d is the distance between the numbers in the sequence
a1 is the first number in the sequence
we have the fuction: a(n) = a1 + (n - 1)d
see in the table, with position = 1, term = -8 => a1 + d = -8
position = 25, term = 88 => a1 + 25d = 88
=> we have: a1 + d = -8
a1 + 25d = 88
=> a1 = -12
d = 4
=> a(n) = -12 + 4(n - 1)
=> term = 8, position = (8 + 12)/4 = 5
position = 8, term = -12 + 4.8 = 20
term = 36, position = (36 + 12)/4 = 12
position = 19, term = -12 + 4.19 = 64
Answer:
fondo
Step-by-step explanation:
Answer:
Step-by-step explanation:
Let q represent the number of quarters Theresa has. Then the value of her coins is ...
0.25q + 0.10(20 -q) = 2.75
0.15q = 0.75 . . . . . . . . . subtract 2.00, collect terms
q = 0.75/0.15 = 5
Theresa has 5 quarters and 15 dimes.
Answer:
15%
Step-by-step explanation:
Let c represent the regular price of the carpet.
Then:
sale price = regular price less discount
$374 = c - $66
Adding $66 to both sides isolates (solves for) c:
$374 + $66 = c = $440. This is the regular price.
$66
---------- = 0.15 This is the fraction of the regular price by
$440 which the regular price is reduced.
Then the percentage of this discount was 0.15(100%) = 15%