Answer:
Step-by-step explanation:
4). Given sequence → 3, 5, 7, 9, 11........
Common difference of an arithmetic sequence is defined by,
Common difference = Successive term - previous term
= 2nd term - 1st term
= 5 - 3
= 2
5). Given sequence → 16, 19, 22, 25........
Common difference of an arithmetic sequence = Second term - first term
= 19 - 16
= 3
Answer:
A(t) = amount remaining in t years
= A0ekt, where A0 is the initial amount and k is a constant to be determined.
Since A(1690) = (1/2)A0 and A0 = 80,
we have 40 = 80e1690k
1/2 = e1690k
ln(1/2) = 1690k
k = -0.0004
So, A(t) = 80e-0.0004t
Therefore, A(430) = 80e-0.0004(430)
= 80e-0.172
≈ 67.4 g
Step-by-step explanation:
Answer:
Step-by-step explanation:
To solve this problem, first you have to isolate it on one side of the equation. Remember to solve this problem, find represents the solution of 5(x+5)<85.
First, you divide by 5 from both sides.
Solve.
Next, subtract 5 from both sides.
Solve.
As a result, the correct answer is x<12.
<h2>Hope this helps! </h2><h2 /><h2>Have a wonderful blessing day! :)</h2><h2 /><h2>Good luck! :)</h2>
Answer:
=-4x^2-11x+13
Step-by-step explanation:
Surprise! It turns out that the answer is 1.
Why?!!??!
Notice this pattern when working with powers of 2:
2^0 2^1 2^2 2^3 2^4
? 2 4 8 16
Every time we increase the power we multiply by 2. Or reading the pattern backwards, every time we decrease the power we divide by 2. What is 2 divided by 2? It is 1! So 2^0 = 1 to finish the pattern:
2^0 2^1 2^2 2^3 2^4
1 2 4 8 16
Try it with 3 or with 5 or with any number! You'll see that the pattern holds!
