<span>The function which has a constant halving time is in the following form
</span>
Where: A₀ is the <span>initial amount
h is the half life time or the halving time.
</span><span> t is the time
</span> A(t) <span>the amount<span> that remains at time t
</span></span>
The previous function represents an Exponential decay<span> function.
</span>
so, The correct answer is option B. <span>
Exponential decay</span>
Answer:
Expected value of the game: -$0.421
Expected loss in 1000 games: $421
Step-by-step explanation:
There are two possible outcomes for the event:
- There is a 1 in 38 chance of winning $280
- There is a 37 in 38 chance of losing $8
The expected value for a single game is:
The expected value of the game is -$0.421
In 1,000 plays, the expected loss is:
You would expect to lose $421.
Answer:
11/3
Step-by-step explanation:
Answer:
212.5 m²
Explanation:
<u>Area of the figure</u>:
= area of the rectangle's + area of triangle's
= 6 × 9 + 7 × 4 + 1/2 × 13 × 7 + 1/2 × 10 × 17
= 85 + 54 + 45.5 + 28
= 212.5
Answer:
A rectangle has congruent diagonals
Step-by-step explanation:
* Lets explain how to solve the problem
- In any rectangle each two opposite sides are parallel and equal
- All the angles of a rectangles are right angles
- To prove that the diagonals of a rectangle are congruent, we will use
the SAS case of congruent
- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and
including angle in the 2nd Δ
* Lets solve the problem
∵ ABCD is a rectangle
∴ AD = BC
∴ AB = CD
∴ m∠A = m∠B = m∠C = m∠D = 90°
∵ AC and BD are the diagonals of the rectangle
- In the 2 triangles ADC and BCD
∵ AD = BC ⇒ opposite sides in a rectangle
∵ m∠ADC = m∠BCD ⇒ all angles are equal in the rectangle
∵ DC = CD ⇒ common side in the two triangles
∴ ΔADC ≅ ΔBCD ⇒ SAS
- From congruent
∴ AC = BD
∵ AC and BD are the diagonals of the rectangle
∴ The diagonals of the rectangle are congruent
* A rectangle has congruent diagonals
