Answer:
14 cups of flour.
Step-by-step explanation:
Rodney is making three pizzas.
The recipe says that for one pizza he needs flour = 2 cups
Rodney buy a bag of flour containing = 20 cups flour
Rodney needs flour for three pizzas = 3 × 2 = 6 cups
He will have left over flour after making the pizzas = 20 - 6
= 14 cups of flour.
Rodney will have left over 14 cups of flour after making the pizzas.
Answer:
4 hours
Step-by-step explanation:
The amount remaining at the end of each hour is 0.85 of the amount at the start of the hour. You want to find the exponent such that ...
... 0.85^x = 0.5 . . . . . x = the number of hours until half is left
... x·log(0.85) = log(0.5) . . . . . take the log to turn it to a linear equation
... x = log(0.5)/log(0.85) ≈ 4.265024
Rounded to the nearest hour, x = 4.
Answer:
36 in over 2
Step-by-step explanation:
Answer:
- g(2.95) ≈ -1.8; g(3.05) ≈ -0.2
- A) tangents are increasing in slope, so the tangent is below the curve, and estimates are too small.
Step-by-step explanation:
(a) The linear approximation of g(x) at x=b will be ...
g(x) ≈ g'(b)(x -b) +g(b)
Using the given relations, this is ...
g'(3) = 3² +7 = 16
g(x) ≈ 16(x -3) -1
Then the points of interest are ...
g(2.95) ≈ 16(2.95 -3) -1 = -1.8
g(3.05) ≈ 16(3.05 -3) -1 = -0.2
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(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)