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daser333 [38]
3 years ago
15

The amount of a certain radioactive substance decreases by 15% every hour. If a sample starts with 100 g of this radioactive sub

stance, which function represents the amount of radioactive substance left after x hours?
A- f(x)=100(0.15)^x
B- f(x)=100(0.85)^x
C- f(x)=100(1.15)^x
D-f(x)=100(1.85)^x
Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0

Answer:

A

Step-by-step explanation:

I took the test now that is what I got.

Hope this helps.

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Set up the characteristic equation, which is given by r2 − 5r − 6 = 0. The roots of this equation are given by r1 = 6 and r2 = −
s344n2d4d5 [400]

Answer:

Step-by-step explanation:

From your characteristic equation, your recursive equation is

f(n+2) = 5 f(n=1) +6f(n)

the general solution:

f(n) = A6^n + B(-1)^n

The initial conditions are

f(0) =1 ~~~and~~~ f(1) = 3

For f(0) = 1, that is

f(0) = A6^0 + B(-1)^0 = A+ B=1 (*)

For f(1) = 3, that is

f(1) = A6^1 + B(-1)^1 = 3

6A- B = 3 (**)

From (*) and (**) you solve for A and B

you have A = 4/7 and B= 3/7

Replace A, B into the general one, you have the particular solution for the given condition

f(n) = 4/7 *6^n +3/7*(-1)^n

4 0
4 years ago
What is 0.000000685 written in scientific notation?
maria [59]

we have

0.000000685

we know that

0.000000685=\frac{685}{1,000,000,000} =\frac{685}{10^{9}}=685*10^{-9}

685*10^{-9} =6.85*10^{-7}

therefore

<u>the answer is</u>

6.85*10^{-7}

3 0
3 years ago
Read 2 more answers
Please help I will fail if I don’t get this right
umka21 [38]
Answer:
J'(-4, -1)
K'(-2, -5)
L'(2, -5)
M'(3, -1)
Step-by-step explanation:
Reflection over the line y=1 is equivalent to the transformation ...
(x, y) ⇒ (x, 2-y)
Then the transformed coordinates are ...
J(-4, 3) ⇒ J'(-4, -1)
K(-2, 7) ⇒ K'(-2, -5)
L(2, 7) ⇒ L'(2, -5)
M(3, 3) ⇒ M'(3, -1)
6 0
3 years ago
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Try adding them and if ur answer is wrong then multiple
3 0
3 years ago
7/4 to 14 and X to 32 PLEASE HELP ME IM LEGIT BRANILESS
n200080 [17]

Answer:

X = 56/14 = 4

Step-by-step explanation:

8 0
3 years ago
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