Answer:
4ab
Step-by-step explanation:
4(-3b)(+a)+8ab÷2a×4a
4(-3ab)+8ab÷2a×4a
-12ab+8ab÷2a×4a
-12ab+4b×4a
-12ab+16ab
16ab-12ab = <u>4ab</u>
Answer:
x = ⅔ hr
V = 4 km³
Step-by-step explanation:
The volume of the first cloud is given as:
V1 = 4^(3x - 1)
The volume of the second cloud is given as:
V2 = 8^x
When the two clouds have the same volume, V1 = V2:
=> 4^(3x - 1) = 8^x
We can rewrite this as:
2^[2(3x - 1)] = 2^[3(x)]
=> 2^(6x - 2) = 2^(3x)
According to the law of indices, we can equate the powers because their bases are equal (2 is the base).
=> 6x - 2 = 3x
6x - 3x = 2
3x = 2
x = ⅔ hr
Hence, after 2/3 hr, their volumes will be equal.
To find the volume after 2/3 hr, we can use the equation of either cloud but let us use the equation for the second cloud for simplicity sake:
V2 = 8^(⅔)
V2 = 4 km³ or 4 cubic kilometers
Answer:
Step-by-step explanation:
A. 4^5*4^5 = 4^(5+5) = 4^10 ≠ 4^15
B. (5^4)^5 = 5^(4*5) = 5^20
C. 3^1*3^0 = 3^(1+0) = 3^1 ≠ 3^0
D. 6^20/6^10 = 6^(20 - 10) = 6^10 ≠ 6^2
(2x - 6)^2 = (2x - 6)(2x - 6) = 4x^2 - 12x - 12x + 36 = 4x^2 - 24x + 36