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-BARSIC- [3]
3 years ago
7

An element with mass 290 grams decays by 13.2% per minute. How much of the

Mathematics
2 answers:
snow_lady [41]3 years ago
8 0

Answer:

40.0 grams

Step-by-step explanation:

An exponential decay function is

y=a(1-r)^t           .... (1)

where, a is initial value, t is time and r is decay rate.

It is given that element with mass 290 grams decays by 13.2% per minute.

Initial value = 290

Decay rate = 13.2% = 0.132

Substitute a=290 and r=0.132 in equation (1).

y=290(1-0.132)^t  

y=290(0.868)^t  

Substitute t=14 to find the amount of element remaining after 14 minutes.

y=290(0.868)^{14}  

y=39.9644785  

Round the solution to the nearest tenth.

y\approx 40.0  

Therefore, element with mass 40.0 grams is remaining after 14 minutes.

Tatiana [17]3 years ago
4 0

Answer:

FV=PV(1−d)^n

FV = 290(1-.132)^14

FV = 290(.868)^14

FV = 39.96 g

Step-by-step explanation:

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Temka [501]

Answer:

11/28

Step-by-step explanation:

1. Add up all of the customers to get the sample size.

    33 + 51 = 84

2. Since we are finding the chance of it being a size small, 33 will be out numerator.

3. Create the final fraction, (33/84)

4. Simplify (11/28)

<em>Hope this helps! Comment if you have any questions. :)</em>

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3 years ago
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Is 2.4, 4.5 and 5.2 a right triangle?
grandymaker [24]

Answer:

No

Step-by-step explanation:

Use the pythagorian theorm to find whether it's a right triangle or not.

So the hyp will be the largest number. And the hyp must be equal to the sum of b and c squared

5.2 squared= 2.4 squared+ 4m5 squared

27.04= 26.01

It's not equal so the triangle isn't a right triangle.

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2 years ago
Equation to find three consecutive odd integers whose sum is 3
KiRa [710]

The equation computed shows that the numbers will be 9, 11 and 13.

<h3>How to illustrate the information?</h3>

Let the numbers be:

First number = x

Second number = x + 2,

Third number = x + 4.

Total of the numbers = 33

The equation will be:

= first + second + third number

x + x + 2 + x + 4 = 33

3x + 6 = 33

Collect like terms

3x = 33 - 6

3x = 27.

Divide both side by 3

3x/3 = 27/3

x = 9

First number = x = 9

Second number = x + 2 = 9 + 2 = 11

Third number = x + 4. = 9 + 4 = 13

The numbers will be 9, 11, and 13.

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Which expression is equivalent to –5(6x – 3) – 4(–2x + 1) + 3(4x) – 8?
Sedaia [141]

Answer:

C = -10x+3

Step-by-step explanation:

So the simplified version of the main expression is -10x+3. after finding the main expression you just need to simplify the rest of them too.

A. = -10x+9

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