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scZoUnD [109]
3 years ago
13

(THIS IS A TEST I NEED HELP)

Mathematics
2 answers:
Dmitrij [34]3 years ago
8 0

Answer:

i think its C

Step-by-step explanation:

KIM [24]3 years ago
4 0

Answer:

it's 20

.......: )...…...

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element X is a radioactive isotope such that every 21 years, its mass decreases by half. Given that the initial mass of a sample
pashok25 [27]

Answer:

The percentage rate of decay per year is of 3.25%.

The function showing the mass of the sample remaining after t is A(t) = 80(0.9675)^t

Step-by-step explanation:

Equation for decay of substance:

The equation that models the amount of a decaying substance after t years is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Every 21 years, its mass decreases by half.

This means that A(21) = 0.5A(0). We use this to find r, the percentage rate of decay per year.

A(t) = A(0)(1-r)^t

0.5A(0) = A(0)(1-r)^{21}

(1-r)^{21} = 0.5

\sqrt[21]{(1-r)^{21}} = \sqrt[21]{0.5}

1 - r = 0.5^{\frac{1}{21}}

1 - r = 0.9675

r = 1 - 0.9675 = 0.0325

The percentage rate of decay per year is of 3.25%.

Given that the initial mass of a sample of Element X is 80 grams.

This means that A(0) = 80

The equation is:

A(t) = A(0)(1-r)^t

A(t) = 80(1-0.0325)^t

A(t) = 80(0.9675)^t

The function showing the mass of the sample remaining after t is A(t) = 80(0.9675)^t

8 0
3 years ago
Read 2 more answers
Solve the equation <br> P = t+ r+ s for t
deff fn [24]

Answer:

t=p-r-s

Step-by-step explanation:

just bring r and s to the other side

6 0
3 years ago
What is the equation of the line shown below?
miskamm [114]

Answer:

y= 1x - 1

Step-by-step explanation:

Slope-intercept form: y=mx + b

(-4,-5) (5,4)

m= (y2 - y1)/(x2 - x1) = (4+5)/(5+4)=1

4=1(5)+b

4=5 + b    4-5=b    b= -1

y= 1x - 1

7 0
4 years ago
Is 3.1 greater than 3 3/10
qaws [65]

Answer:

no, 3 3/10 is greater

Step-by-step explanation:

3.1 = 3 1/10 which is less than 3 3/10

6 0
3 years ago
Read 2 more answers
Which table correctly shows all the sample spaces for tossing a coin and rolling an even number on a six-sided number cube?
kotykmax [81]
Tossing a coin would be 1/2 because a coin has two sides and it has 1 out of two sides to land on the side you want it to land on. So that answer is 1/2. The dice rolling on an even number on a six-sided number cube would be 3/6. Which if you simplify it, it would be 1/2. The answer to both of them is 1/2!
4 0
4 years ago
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