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GarryVolchara [31]
3 years ago
10

There was a sample of 200 milligrams of a radioactive substance to start a study. since then, the sample has decayed by 5.4% eac

h year. let t be the number of years since the start of the study. let y be the mass of the sample in milligrams. write an exponential function showing the relationship between y and t .
Mathematics
1 answer:
abruzzese [7]3 years ago
5 0
For this case we have a function of the form:
 y = A * (b) ^ t
 Where,
 A: initial amount
 b: decrease rate
 t: time
 Substituting values we have:
 y = 200 * (0.946) ^ t
 Answer:
 
An exponential function showing the relationship between and and is:
 
y = 200 * (0.946) ^ t
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ira [324]

Answer:

1) Subtracting one from the other

2) x = 0.375 and y = 0.125

Step-by-step explanation:

Equation 1 :

\frac{2x+1}{2y}=7\\\\

Equation 2:

\frac{6x-1}{2y}=5

To solve these equations by the Elimination method we multiply equation 1 with 6 and multiply equation 2 with 2 so now,

\frac{2x+1}{2y} =7\\\\2x+1=14y\\\\Multiplying\ Equation\ 1\  with\ 6\\\\12x+6=84y

Now for the second equation:

\frac{6x-1}{2y}=5\\\\6x-1=10y\\\\Multiplying\ equation\ 2\ with\ 2 \\\\12x-2=20y

Now subtracting equation 2 from equation 1

12x+6=84y\\\\12x-2=20y\\\\Subtracting\ leads\ to\\12x-12x+6-(-2)=84y-20y\\0+8=64y\\8=64y\\8/64=y\\0.125=y

now insert this value of y into any equation

lets insert it into equation 1

\frac{2x+1}{2y} =7\\\\2x+1=14y\\2x+1=14(0.125)\\2x+1=1.75\\2x=1.75-1\\2x=0.75\\x=0.75/2\\x-0.375

5 0
3 years ago
A circular pool with a diameter of 18 ft will have a uniform 4 ft concrete walkway poured around it. If the concrete cost $4.25
zysi [14]

A circular pool with a diameter of 18 ft will have a uniform 4 ft concrete walkway poured around it. If the concrete cost $4.25 a square foot, how much will it cost for the concrete?

This can be solve be solving the area of walkway

Area of walkway is equal to = (pi)( 9 ft +4) ^2– (pi)(9ft)^2

= 276.46 sq ft

Cost = 276.46 sq ft * ($4.25 a square foot) = $1174.70

4 0
3 years ago
Read 2 more answers
What multiples for 90 and adds up to -23 ?
melamori03 [73]

Easy buddy...

_________________________________

Step (1)

I choose a number which is x

_________________________________

Step (2)

Multiplies by 90 :

90x

_________________________________

Step (3)

Adds up to -23 :

90x - 23

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

7 0
3 years ago
Which step is it?? Please help me.
eduard

Answer:

Use PEMDAS so division would be the first step

Step-by-step explanation:

1)Parentheses

2)Exponents

3)Multiplication

4)Division

5)Addition

6)Subtraction

6 0
3 years ago
Beth is selling tickets for a dinner at her school.
iren [92.7K]

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check each child answer and multiply by 4.50

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add both answers up

and see which one it is

its not A, B, or C

5 0
3 years ago
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