Plug in n = 5 to find the 5th term
T(5) = 2(5) - 7
T(5) = 10 - 7
T(5) = 3
The 5th term is 3.
Answer:
They are right, the time calculated using the exponential decay equation is 1948.6 years.
Step-by-step explanation:
The time can be calculated using the exponential decay equation:
(1)
<u>Where</u>:
N(t): is the quantity of C-14 at time t
N₀: is the initial quantity of C-14
λ: is the decay constant
The decay constant is:
(2)
By entering equation (2) into (1) and solving for t, we have:

Therefore, the time of the scrolls estimated by the archeologists is right, since the time calculated using the exponential decay equation is 1948.6 years.
I hope it helps you!
Answer:
D, infinitely many solutions
Step-by-step explanation:
1. multiply out
5(x-3) = 5x-15
2. combine like terms
5x-15-3x=8x-15-6x = 2x-15=2x-15
they are equal so there are infinite solutions.
Did you finish this question? I feel like you're missing something.
Answer:
X'Y' ≅ XY
∠Z ≅ ∠Z'
Step-by-step explanation:
we know that
A transformation that does not alter the size or shape of a figure is called a <u><em>Rigid Transformation</em></u>
Translations, rotations and reflections are rigid transformations
<u><em>Verify each statement</em></u>
case 1) X'Y' ≅ XY
The statement is true
Because
Reflecting and translating the triangle not change its shape or its size
The corresponding sides of the image and the pre-image are congruent
case 2) ∠Z ≅ ∠Z'
Because
Reflecting and translating the triangle not change its shape or its size
The corresponding angles of the image and the pre-image are congruent
case 3) ΔXYZ is not congruent to ΔX'Y'Z'
The statement is false
Because
ΔXYZ is congruent to ΔX'Y'Z'
case 4) Reflecting and translating the triangle change its shape and size
The statement is false
Because
Reflecting and translating the triangle not change its shape or its size