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swat32
2 years ago
5

A radioactive substance decays exponentially. A scientist begins with 190 milligrams of a radioactive

Mathematics
1 answer:
worty [1.4K]2 years ago
6 0

Answer: 65.1 (mg)

Step-by-step explanation:

y=190*e^{-a*t}\\\\Calculate\ a:\\\\t=33,y=95(mg)\\\\190*e^{-a*33}=95\\\\e^{-a*33}=0.5\\\\-a*33=ln(0.5)\\\\a=\dfrac{ln(\dfrac{1}{2}) }{-33} \\\\a=0,02100... \approx{0.021}\\\\If\ t=51\ h, y=190*e^{-0.02100*51}=65.09167...\approx{65.1}

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A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost
Nadya [2.5K]

Answer: $11.80 for another 4 panes of glass.

Step-by-step explanation: We know that 9 panes of glass cost $26.55, but we should first find how many dollars would it cost per pane of glass, or 1.

So, we can divide 26.55 by 9 to find the price per 1 pan of glass.

26.55/9 = 2.95, or $2.95 per pane of glass.

Now, we want to know how much it will cost for 4 panes of glass. Simply multiply 2.95 by 4.

2.95 x 4 = 11.8, or $11.80 for another 4 panes of glass.

8 0
3 years ago
Read 2 more answers
Michaela pays her cell phone service provider $49.95 per month for 500 minutes. any additional minutes used cost $0.15 each. in
True [87]
75 additional minutes were used


$61.20-$49.95=$11.25

$11.25/$0.15=75 additional minutes
4 0
2 years ago
What is the order of operations to solve this problem?<br> 10 x 5 + 2 / 2 = 60
Slav-nsk [51]

Simply remember PEMDAS:

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

You perform these actions from left to right.

However in this case it is not possible for it to equal 60.

8 0
3 years ago
Read 2 more answers
NO LINKS. Find the measure of the angle or arc indicated. Part 2<br>​
sergeinik [125]

9514 1404 393

Answer:

  14.  C) 136°

  15.  C) 40°

Step-by-step explanation:

Inscribed angles are half the measure of the arc they intercept. For an inscribed quadrilateral, this means opposite angles are supplementary.

__

14) ∠H +∠W = 180°

  34x +55x +2 = 180

  89x = 178 . . . . . . . . . subtract 2

  x = 2 . . . . . . . . . . . . . divide by 89

  arc VX = 2(34x) = 68(2) = 136 . . . degrees

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15) The sum of angles in the triangle is 180°.

  ? + 80° + (120°/2) = 180°

  ? = 40° . . . . . . . . . . subtract 140°

6 0
2 years ago
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Help Answer Will Reward More Points!
schepotkina [342]

Answer:

use mathaway or math scanner they will help and provide you with the answer

6 0
2 years ago
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