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viva [34]
2 years ago
7

9375 grams of radioactive material decays every hour in a geometric fashion. After 4 hours of decay, 15 grams of radioactive mat

erial remains. Assuming the decay continues at the same rate, determine the exact amount of radioactive material that would remain by the 7th hour of decay.
Mathematics
1 answer:
Paladinen [302]2 years ago
7 0

The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.

<h3>Exponential function</h3>

An exponential function is in the form:

y = abˣ

where y,x are variables, a is the initial value and b is the multiplicative factor.

Let y represent the amount of substance remaining after x hours. Hence:

a = 9375, at x = 4, y = 15:

15 = 9375(b)⁴

b = 0.2

y = 9375(0.2)ˣ

For the 7th hour, x = 7:

y = 9375(0.2)⁷ = 0.12

The amount of radioactive material that would remain by the 7th hour of decay is 0.12 grams.

Find out more on Exponential function at: brainly.com/question/12940982

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o-na [289]

Answer: x1 = 0; x2 = 5/3; x3 = 1/3

x1 + 2x2 - x3 = 3 => 2x1 + 4x2 - 2x3 = 6

                                2x1 + x2 - 2x3 = 1

=> 4x2 - x2 = 5

⇔ 3x2 = 5

⇔ x2 = 5/3

with x2 = 5/3, we have: x1 - x3 = 3 - 10/3 = -1/3

                                        3x1 - 5x3 = 5 - 4.5/3 = -5/3

=> x1 = 0

    x3 = 1/3

Step-by-step explanation:

7 0
3 years ago
What is n+n+n+n+n+n+n
denis23 [38]

Answer:

7n

Step-by-step explanation:

n+n+n+n+n+n+n

Count the number of n's

7n

4 0
4 years ago
Read 2 more answers
Which term completes the product so that it is the difference of squares?
Effectus [21]

Answer:

3

Step-by-step explanation:

For Edge Users its

C

5 0
3 years ago
What is the answer to this problem- <br> (a-3b+5)-(-a+2b+3)
tiny-mole [99]

Answer:

\displaystyle 2 - 5b + 2a

Step-by-step explanation:

To avoid confusion, distribute that negative amongst all terms in the second set of parentheses:

\displaystyle 2a - 5b + 2 = (a - 3b + 5) - (-a + 2b + 3)

** The above answer is written in reverse, which is the exact same result.

I am joyous to assist you anytime.

6 0
3 years ago
the perimeter of a rectangle is 55 inches. the ratio of the length to width is 7:4. use proportions to find the area of the rect
Leni [432]

Answer:

Step-by-step explanation:

let : x the length and y the width    .... ( x  > y and x ; y reals numbers )

the perimeter is : 2(x+y)

2(x+y) = 55...(1)

x/y = 7/4 ...(2)

by (2) : x = (7/4)y

subsct in (1) : 2( (7/4)y +y ) =55

(7/2)y +2y =55

multiply by 2

7y +4y = 110

11y = 110

y = 10

x = (7/4)(10)

x = 35/2

4 0
4 years ago
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