The area, in square inches, outside the smaller region, but inside the larger region is 99π
<h3>How to determine the area, in square inches, outside the smaller region, but inside the larger region?</h3>
The given parameters are:
Radius, r1 = 1 inch
Radius, r2 = 10 inches
The area, in square inches, outside the smaller region, but inside the larger region is calculated as
Area = π(R^2 - r^2)
This gives
Area = π(10^2 - 1^2)
Evaluate the difference
Area = 99π
Hence, the area, in square inches, outside the smaller region, but inside the larger region is 99π
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Explanation: Just like any of your two-step equations,
in this inequality, start by isolating the x term which in this
case is -3x by subtracting 5 from both sides.
That leaves you with -3x < -24.
To get x by itself, divide both sides by -3 but watch out.
When you multiply or divide both sides of an inequality by a
negative number, you must switch the direction of the inequality sign.
So we have x < 8 and put your final answer in
set notation and it look like this → {x: x < 8}.
Answer:
40
Step-by-step explanation:
Subtracting a number k from 300 looks like this 300-k.
Adding a number k to 220 looks like this 220+k.
They are saying for some number k that we have 300-k and 220+k is the same value.
That is, 300-k=220+k.
This is the equation we are going to solve for your number.
300-k=220+k
Add k on both sides:
300=220+2k
Subtract 220 on both sides;
80=2k
Divide both sides by 2:
40=k
k=40.
So the number is 40.
Check: 300-40=260 while 220+40=260.
Answer: See below
<u>Step-by-step explanation:</u>
y = a(b)ˣ
- y: final population of zombies
- a: initial population of zombies
- b: rate of decrease
- x: number of hours
Given: a = 500,000 b = 50% (0.5)
y = 500,000(0.5)ˣ
Since we want to know the number assassinated (A), subtract the total from the final population of zombies
A = 500,000 - y
a) Equation: 500,000 - 500,000(0.5)ˣ
b)
(Graph attached)
c) The assassins will earn 100,000 + 2(499,985) = $1,099,970 after 15 hours.
The number of zombies needed to assassinate in order to earn $1,000,000:
100,000 + 2z = 1,000,000
2z = 900,000
z = 450,000
d) How long will it take to eliminate all of the zombies?
The population of zombies is zero when x = 20 hours
How much money did the assassinators earn?
100,000 + 2(500,000) = $1,100,000
