Answer:53=125
Step-by-step explanation:For an increasing function like this, the end behavior at the right "end" is going to infinity. Written like: as x→∞,y→∞ . That means that large powers of 5 will continue to grow larger and head toward infinity. For example, 53=125 .
Answer:
I do not know
Step-by-step explanation:
Answer:
343 : 729
Step-by-step explanation:
A cube is made up of 6 square faces. If each face has a side length of a, we can find the surface area of that cube with the formula 
, since we'll have 6 faces with area a². Let's call the edge length of the first cube a and the edge length of the second cube b. The ratio between their surface areas is then 6a² : 6b², or simply a² : b². If we compare this to our given ratio 49 : 81, we can see that a² = 49 and b² = 81, or, square rooting both equations, a = 7 and b = 9.
The volume of a cube with a side length a is a³, so the ratio between our cubes here must be a³ : b³. Using the values for a and b we just found, this ratio becomes 7³ : 9³, which we can simplify to 343 : 729.
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Answer:
A. 108 ft².
Step-by-step explanation:
Find the area of each face using the dimensions 4, 3 and 6. Remember, there are 6 total faces with 3 sets of congruent faces. The faces are rectangular, so the formula A = l × w will be used to solve for the area of each:
2(4 ·3) = 2(12) = 24 ft²
2(4· 6) = 2(24) = 48 ft²
2(3 · 6) = 2(18) = 36ft².
Add up the areas of the faces:
24 + 48 + 36 = 108 ft².
