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patriot [66]
2 years ago
11

The half-life of a certain radioactive material is 36 days. An initial amount of the material has a mass of 487kg. Write an expo

nential function that models the decay of this material. Find how much radioactive material remains after 5 days. Round your answer to the nearest thousandth.
Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
4 0

Answer:

442.302 kg

Step-by-step explanation:

amount = 487 (1/2)^(t/36) where t is the number of days.

if t = 5

amount = 487(.5)^(5/36)

= 442.302 kg

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Step-by-step explanation:

Rounding to the nearest we get 22 degrees

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The average number of customers per day at a home improvement store is given in the following table. Let x represent the day whe
nika2105 [10]

Answer:

A. 33.690\sin (0.887x + 1.337) + 81.684.

Step-by-step explanation:

We are given that,

x = Number of days where 1 = Sun of 1st week and 7 = Sat of first week.

The corresponding table for the data is given by,

Days        Day Number               Number of Customers

Sun                    1                                     115

Mon                   2                                     77

Tue                    3                                     60

Wed                   4                                     51

Thur                   5                                     68

Fri                      6                                      86

Sat                     7                                      120

The general form of the regression model is a\sin (bx+c)+d.

Using the sinusoidal regression calculator, we get that,

a = 33.690

b = 0.887

c = 1.337

d = 81.684

That is, the sine regression model is 33.690\sin (0.887x + 1.337) + 81.684.

Thus, option A is the sine regression model for the given data.

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