Estimation: 500×7=3,500
Product: 503×7=3,521
Answer:
a = 12. b =1/6. g(x) = 12(1/6)^x
Step-by-step explanation:
g(x) =a * b^x.
First we should use the give values to us in the table which are x=0 then g(x) = 12 and if x =1, then g(x) = 2. We should plug in the value where x = 0 since any value to the power of 0 is 1. 12= a *b^0. 12=a *1. Then we will get the value of a which is 12. Then we plug in our second given value to find b. 2 = 12 * b^1. First we will divide both sides by 12 to find b. 2/12 = 1/6. since any value to the power of 1 is itself then b =1/6. Then you will have a = 12. b =1/6 so g(x) = 12(1/6)^x
Answer:
The maximum error in the function G, ΔG = ±4
Step-by-step explanation:
G(x,y,z) = 20 In (xyz²)
Total or maximum error for a multi-variable function is given by
ΔG = (∂G/∂x) (Δx) + (∂G/∂y) (Δy) + (∂G/∂z) (Δz)
(∂G/∂x) = 20yz²/xyz² = 20/x
(∂G/∂y) = 20xz²/xyz² = 20/y
(∂G/∂z) = 40xyz/xyz² = 40/z
Δx = ±0.10
Δy = ±0.15
Δz = ±0.20
ΔG = (∂G/∂x) (Δx) + (∂G/∂y) (Δy) + (∂G/∂z) (Δz)
ΔG = (20/x) (0.10) + (20/y) (0.15) + (40/z) (0.2)
At the point (x,y,z) = (2,3,4)
ΔG = (20/2) (0.10) + (20/3) (0.15) + (40/4) (0.2) = 10(0.10) + 20(0.05) + 10(0.2) = 1 + 1 + 2 = 4
ΔG = ±4
Answer:
2.5 times
Step-by-step explanation:
From the diagram attached below;
let's calculate the volume of each bottle;
SO for bottle X;
we have ;
Volume of X = 
Volume of X = 
Volume of Y = 
Volume of Y = 
The ratio of Y to X can help us to determine how many times more lotion is in Bottle Y than in Bottle X; So taking their ratio ; we have:
= 2.5 times
Thus; Bottle Y has 2.5 times more lotion than Bottle X
<span>When you multiply a positive integer by a positive integer then the result must be a Positive Integer.
Hope this helps!
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