First one is the second answer.
(-3 < x < 0)
Second one is also the second answer.
(x < 5 or x > 11)
Third one is the second answer and the last answer
(5 + 6x < 13)
(5 + 6x > -13)
Answer: ∆V for r = 10.1 to 10ft
∆V = 40πft^3 = 125.7ft^3
Approximate the change in the volume of a sphere When r changes from 10 ft to 10.1 ft, ΔV=_________
[v(r)=4/3Ï€r^3].
Step-by-step explanation:
Volume of a sphere is given by;
V = 4/3πr^3
Where r is the radius.
Change in Volume with respect to change in radius of a sphere is given by;
dV/dr = 4πr^2
V'(r) = 4πr^2
V'(10) = 400π
V'(10.1) - V'(10) ~= 0.1(400π) = 40π
Therefore change in Volume from r = 10 to 10.1 is
= 40πft^3
Of by direct substitution
∆V = 4/3π(R^3 - r^3)
Where R = 10.1ft and r = 10ft
∆V = 4/3π(10.1^3 - 10^3)
∆V = 40.4π ~= 40πft^3
And for R = 30ft to r = 10.1ft
∆V = 4/3π(30^3 - 10.1^3)
∆V = 34626.3πft^3
Answer:
Below.
Step-by-step explanation:
A linear function contains a variable of the first degree only - for example f(x) = 2x - 1 or f(z) = 3z.
So y = x + 5 is linear.
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Answer:
$3 sales tax
$63 total cost
Step-by-step explanation:
5% of 60 is 3, so that'd be 60 + 3 which is 63, or $63
hope this helps!!!
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