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zmey [24]
3 years ago
7

A form of radium decays exponentially with a half-life of 20 years. This means that 50% will be gone every 20 years. A human can

only withstand an exposure of 5 grams of this radium but 150 grams has leaked into the air.
Part A: Write an equation to model the exponential decay of this 150 grams of this form of radium.

Part B: A scientist claims that the area will e safe for humans after 100 years. Do you agree? Verify your answer mathematically and explain why you agree.
Mathematics
1 answer:
IrinaVladis [17]3 years ago
6 0
<h2>✔Answer</h2>

<h2>✏Part A :-</h2><h2>Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)x wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.</h2>

<h2>✏Part B :- </h2><h2 /><h2>The Earth could look like within 100 years if we succeed in curbing climate change.</h2>

<h2>Hope it helps.❤</h2><h2 />
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A 55m and 35m broad park is surrounded by a 2.5m wide path.
daser333 [38]

Step-by-step explanation:

☄ \underline {\underline{ \text{Given}}} :

  • Length of a park ( l ) = 55 m
  • Breadth of a park ( b ) = 35 m
  • Width running outside the park ( d ) = 2.5 m
  • Rate of paving the path with stones = Rs 120 per sq.metre

☄ \underline{ \underline{ \text{To \: find}}}:

  • Area of the park
  • Cosy of paving the path with stones at Rs 130 per sq.metre

☄ \underline{ \underline{ \text{Solution}}} :

Part 1 : \boxed{\text{Area \:of \:a \:path \: running \:outside = 2d(l + b + 2d)}}

plug the known values and simplify :

⟹ \sf{2 \times 2.5(55 + 35 + 2 \times 2.5)}

⟹ \sf{5  \times 95}

⟹ \sf{475 \:  {m}^{2} }

Part 2 : \boxed{ \sf{Total \: cost = Area \: of \: paths \:  \times  Rate}}

⟹ \sf{475  \times 120}

⟹\sf{Rs \: 57000}

\purple{ \boxed{ \boxed{ \sf{ \tt{⟿ \: Our \: final \: answer : (i) = 475 \:  {m}^{2}   \:  and \: (ii ) = Rs \: 57000}}}}}

Hope I helped ! ♡

Have a wonderful day /night ツ

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7 0
3 years ago
HELP PLEASE!
algol13

Step-by-step explanation:

5×4=20. 20×9=180

+

9×4=36. 36/9=4

180+4=184

answer=184

when a number is next to a letter it mean to multiply

and / means to divide

3 0
3 years ago
Y is a differentiable function of x. Choose the alternative that is the derivative dy / dx.
murzikaleks [220]

Differentiating both sides of

x^3-y^3=1

with respect to <em>x</em> yields (using the chain rule)

3x^2 - 3y^2 \dfrac{\mathrm dy}{\mathrm dx} = 0

Solve for d<em>y</em>/d<em>x</em> :

3x^2 - 3y^2 \dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ 3y^2\dfrac{\mathrm dy}{\mathrm dx} = 3x^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{3x^2}{3y^2} = \dfrac{x^2}{y^2}

The answer is then D.

3 0
2 years ago
Answer fast!! With explanation pls
Zepler [3.9K]
D is equivalent because brackets don’t change anything here
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