Can anyone help with this question
2 answers:
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Answer:
for
Step-by-step explanation:
Given
--- radius
Required
Determine the inequality of the region
The inequality of a region of a sphere is determined using:
Substitute 5 for r
Solving further: <em>The question says only the upper hemisphere is considered.</em>
This implies that:
<em>So, the equation is:</em>
Answer:
Step-by-step explanation:
The given equations are:
1st: -3x=42-16y
2nd: 14x=76-16y
Subtract the first equation from the second one:
14x--3x=76-42-16y--16y
14x+3x=34-16y+16y
17x=34
We plug in x-value into the second equation to get:
14(2)=76-16y
14x=76-32
28-76=-16y
-48=-16y
Divide both sides by -16
y=3
Answer:
23 years
Step-by-step explanation:
Step 1: Calculate the rate constant (k) for the radioactive decay
A radioactive substance with initial concentration [A]₀ decays to 97% of its initial amount, that is, [A] = 0.97 [A]₀, after t = 1 year. Considering first-order kinetics, we can calculate the rate constant using the following expression.
ln [A]/[A]₀ = - k.t
k = ln [A]/[A]₀ / -t
k = ln 0.97 [A]₀/[A]₀ / -1 year
k = 0.03 year⁻¹
Step 2: Calculate the half-life of the substance
We will use the following expression.
= ln2/ k = ln 2 / 0.03 year⁻¹ = 23 years