Answer:
ΔV = 0.36π in³
Step-by-step explanation:
Given that:
The radius of a sphere = 3.0
If the measurement is correct within 0.01 inches
i.e the change in the radius Δr = 0.01
The objective is to use differentials to estimate the error in the volume of sphere.
We all know that the volume of a sphere
The differential of V with respect to r is:
dV = 4 πr² dr
which can be re-written as:
ΔV = 4 πr² Δr
ΔV = 4 × π × (3)² × 0.01
ΔV = 0.36π in³
Answer:
blue is more likely to be chosen because there are more of them than the other colors
Step-by-step explanation:
Answer:
the answer is -8 = p
Step-by-step explanation:
you stated that the difference of the two is -14, making it p - 6 = -14.
-8 - 6 = -14
Problem 1
Domain = {-1, -3, 2, 1}
Range = {5, 0, 2}
The domain is the set of possible inputs and the range is the set of possible outputs. This is a function because each input goes to exactly one output.
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Problem 2
This is a function as well. We do not have any input going to multiple outputs.
Domain = {-2, -3, 5}
Range = {6, 7, 8}
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Problem 3
This is not a function. The input -4 goes to more than one output (outputs 3 and -1 at the same time)
Domain = {-4, -2, 0}
Range = {3, -1, -2, 4}
Given :
Two equations :
-8x + 3y = -17 ....1)
3x - y = 7 ....2)
To Find :
The solution of the system.
Solution :
Multiplying equation 2) by 3 and adding with equation 1), we get :
(-8x + 3y) + 3(3x - y) = -17 + 21
x = 4
Putting above value of x equation 2) we get :
12 - y = 7
y = 5
Therefore, solution of system is ( 4,5 ).
