Step-by-step explanation:
Given that:
a = 2ˣ
b = 2ˣ⁺¹ = 2ˣ * 2¹ = 2.2ˣ
Now,
{(8a³)/b²}
Substitute the value of x and y in expression then
= [{8(2ˣ)³}/(2.2ˣ)²]
= [(8*2³ˣ)/{2² * (2ˣ)²}]
= {(8*2³ˣ)/(4 * 2²ˣ)}
[since, (aᵐ)ⁿ = aᵐⁿ]
= {(2 * 2³ˣ)/2²ˣ}
= {(2 * 2²ˣ * 2ˣ)/2²ˣ}
[since (2a = a+a, that means 3x = 2x + x)]
= 2 * 2ˣ
= 2ˣ⁺¹
[since (aᵐ * aⁿ = aᵐ+ⁿ)]
<u>Answer:</u> Therefore, {(8a³)/b²} = 2ˣ⁺¹ .
Please let me know if you have any other.
Answer:
D. 1.25 grams
Step-by-step explanation:
Half-life is: 0.004 sec
Time spent : 0.016 sec
Quantity = 20 gram
In order to find the material after 0.016 sec, we have to calculate how many number of half-lives have been passed
No. of half-lives passed = 0.016/0.004
= 4
The number of lives passed will be raised to the power of 0.5.
0.5 ^ 4 = 0.0625
The answer will be multiplied with the quantity we started with.
Remaining material is:
20*0.0625 = 1.25 grams
Hence, Option D is correct ..
Answer:
y = 2x + 5
Step-by-step explanation:
2 is the slope so it goes with the x and 5 is the y-intercept so it is either added or subtracted.
Answer:42
Step-by-step explanation:
