Correct answer is Sam's work
(8^4)^5 = 8^(4*5) = 8^20
<span> (7^3)^9 = 7^(3*9) = 7^27
</span>answer
Sam's Work: (8^4)^5 (7^3)^9 = (8^4)⋅^5 7^3⋅^9 = 8^20 7^27
Firstly, subtract both sides by 4x:
Next, subtract both sides by 5:
Lastly, divide both sides by 2 and your answer will be
Answer:
Step-by-step explanation:
The slope-intercept form of an equation of a line:
<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept → (0, </em><em>b</em><em>)</em>
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The fromual of a slope:
<em>(x₁, y₁), (x₂, y₂)</em><em> - points on a line</em>
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We have the points from the graph:
(0, 1) → <em>b = 1</em> and (3, 3).
Calculate the slope:
Finally we have the equation of a line:
Answer:
C) 101.5 pi in^2
Step-by-step explanation:
A cylinder's area is found by next formula:
This is because the cylinder has two circle bases and its lateral area is a rectangle whose base is the perimeter of a circle and whose height is the cylinder's height. My last step was to take the common factor.
From the figure you get the cylinder's height and the base diameter's length, which is double of radius'. Since we need "r":
Now, we replace height and radius in the formula:
9514 1404 393
Answer:
D, B
Step-by-step explanation:
Price per pound is found by dividing dollars by pounds.
Store A: $9/(3 lb) = $3.00 /lb
Store B: $9.75/(3 lb) = $3.25 /lb
Store C: $12.40/(4 lb) = $3.10 /lb
Store D: $14.50/(5 lb) = $2.90 /lb
<u>Part A</u>: The lowest price per pound is $2.90 per pound at store D.
<u>Part B</u>: The highest price per pound is $3.25 per pound at store B.