9514 1404 393
Answer:
y = 1 · 5^x
Step-by-step explanation:
Use the given values in the given formula and solve for 'a' and 'b'.
y = a·b^x
5 = a·b^1 . . . . . . for (x, y) = (1, 5)
125 = a·b^3 . . . . for (x, y) = (3, 125)
Divide the second equation by the first:
125/5 = (a·b^3)/(a·b^1)
25 = b^2 . . . simplify
5 = b . . . . . . . take the square root
Substituting into the first equation, we can find 'a':
5 = a·5
1 = a . . . . . . . divide by 5
Written in the given form, the equation is ...
y = 1 · 5^x
Answer:
9 tables
Step-by-step explanation:
All we have to do is see how many time 6³/₄ ft. can fit in 60³/₄ ft. through division.
60 ³/₄ ÷ 6 ³/₄ =
²⁴³/₄ ÷ ²⁷/₄ =
²⁴³/₄ × ⁴/₂₇ =
²⁴³/₂₇ =
9 tables
Answer: 296 cubic in.
Step-by-step explanation: Since we are talking about cubes, and you know the volume of a cube is lwh, we know l, w and h are all equal, meaning be can cube root the volume to find all side lengths. The cube root of 216 is 6, so if each side in cube B is 2 longer, then the lwh for B is 8*8*8, or 512. 512-216=296.
Answer:
6×
Step-by-step explanation:
Exponent are added when multiplied while constants are multiplied.