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3 years ago

An element with a mass of 970 g decays by 15.1% per minute how much of the element remaining after 14 minutes

Mathematics

2 answers:

worty [1.4K]3 years ago

5 0

Answer:

The answer is 98.1

Step-by-step explanation:

Exponential Functions:

y=ab^x

a=starting value = 970

r=rate = 15.1%=0.151

Exponential Decay:

b=1-r=1-0.151=0.849

Write Exponential Function:

y=970(0.849)^x

Plug in time for x:

y=970(0.849)^{14}

y= 98.05718

Evaluate

y≈98.1

erastovalidia [21]3 years ago

4 0

The amount of the element remaining (y) in grams after time (t) in minutes is defined by the equation y=970(1-.151)^t. Substitute t=14 into the equation and solve for y. y=970(.849)^14=98.06 rounded to two decimal places.

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oksano4ka [1.4K]

Answer:

x= -2, y = -3

Step-by-step explanation:

1. substitute x = 4+2y in the first equation: $\begin{bmatrix}2\left(4+2y\right)+y=-7\end{bmatrix}$

simplify it : $\begin{bmatrix}8+5y=-7\end{bmatrix}$

2. isolate y in 8 + 5y = -7 --> 5y = -7 - 8 -->

3. solve for y: 5y = -15 --> y = -15/5 --> y= -3

4. solve for x: x = 4 + 2y

x = 4 + 2(-3)

x = 4 + (-6)

x = -2

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3 years ago

What is the slope of a line parallel to the line containing (-6,1) and (3,-2)

timama [110]

Answer:

$m = -\frac{3}{9}$

Step-by-step explanation:

Use the following formula:

slope: $m = (y_{2} - y_{1})/(x_{2} - x_{1})$

Let:

$(x_{1} , y_{1}) = (-6 , 1)\\ (x_{2} , y_ {2}) = (3 , -2)\\$

Plug in the corresponding numbers to the corresponding variables:

$m = \frac{-2 - 1}{3 - (-6)}\\\\m = \frac{-3}{3 + 6}\\\\m = \frac{-3}{9}$

$m = -\frac{3}{9}$ is your answer.

3 0

4 years ago

The diameter of a circle is 6 m. Find its area in terms of pi

Pie

<h2>Answer:</h2><h2>9 pi m^2</h2>

Solution,

Diameter=6 m

Radius= 6/2=3m

Area of circle= pi r ^2

 = pi *(3)^2

 =9 pi metre^2

Hope it helps

Good luck on your assignment

7 0

3 years ago

Read 2 more answers

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MA_775_DIABLO [31]

Answer:

1/12

I used keep change flip.

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Is the square root of 8 greater than, less than, or equal to 4 ?

Tom [10]

Answer:

√8 is less than 4

Step-by-step explanation:

We need to compare √8 and 4

To compare the numbers they should both be in the same format

√8 is not a perfect square so we'll put number 4 under root

4 = √4² = √16

Now we compare

√8 < √16

So √8 is less than 4

3 0

3 years ago