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Alexeev081 [22]
3 years ago
14

Which equations model exponential decay?

Mathematics
2 answers:
saul85 [17]3 years ago
5 0
If it's exponential decay, the number raised to the power will be 0 < x < 1.
The second one and the last one.
STALIN [3.7K]3 years ago
3 0

Answer:

Option B and D are represents the equation model exponential decay.

Step-by-step explanation:

Exponential decay function is in the form of : y = ab^x where a is the initial value and b≠0,  0<b<1.

Option A:

y = 6(2.1)^x

here a = 6 and b = 2.1 > 1

It is not an exponential decay

Option B

y = 0.34(0.98)^x

here a = 0.34 and b = 0.98<1

Therefore, It is an exponential decay.

Option C:

y = 0.75(1.21)^x

here a = 0.75 and b = 1.21 > 1

It is not an exponential decay

Option D:

y = 8(0.28)^x

here a = 8 and b = 0.28<1

so, it is an exponential decay.



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frosja888 [35]

Answer:

This is a proportional relationship, the constant of proportionality is 20m/s and it represents that the horse can run 20 meters every second.  

Equation:  d = 20s, where d=distance and s=number of seconds.

Step-by-step explanation:

In order to find out whether this relationship is proportional, you need to see if the rate at which the horse runs is constant (the same).  If you look at the three sets of data (24, 480), (40, 800) and (60, 1200) where the pair is (seconds, meters), you can see that for any two sets of data the change in meters divided by the change in seconds is consistently 20m/s.  For example:

\frac{1200-800}{60-40}=\frac{400}{20}=20

Since the constant is 20, we know that the horse can run 20 meters every second.  To find the horse's total distance, we need to multiply the rate by the number of seconds that it runs:

d = 20s

8 0
4 years ago
James had $400 in his bank account. After
balandron [24]

Answer:

C

Step-by-step explanation:

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3 0
2 years ago
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17. What are the three angle measures in the triangle shown below?
lianna [129]

Answer:

Option (1)

Step-by-step explanation:

By using triangle sum theorem in the given triangle,

(5x - 7)° + (11x - 4)° + (3x + 1)° = 180°

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19x - 10 = 180

19x = 190

x = 10

Therefore, (3x + 1)° = 30 + 1

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(11x - 4)° = 110 - 4

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4 0
3 years ago
The area of a square postcard is 25 square inches. How long is each side postcard?​
ivolga24 [154]

Answer:

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Step-by-step explanation:

To find the area of a square the formula is A = bh which with a square is essentially one side squared. We know this because every side of a square is the same. We also know that 5 squared is 25 meaning the answer is 5 inches(You could also use the formula A = bh : A = 5 x 5 : A = 25).

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for each of the number lines, write an absolute value equation in the form |x-c|=d, where c and d are some numbers, to satisfy t
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Answer:

The absoulute value is 4 and 6

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Every Absolute value is a postive number

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