Answer:
approximately 3.2 minutes
Step-by-step explanation:
2 hours 15 and 25 seconds translates to 75 minutes and 25 seconds and that translates to 75.41 minutes
75.41/26.2=2.8782
if you round up its 3.2 minutes
Principle: Law of Exponents - Combination of product to a power & power to a power. The first is when raising a product of two integers to a power, the power is distributed to each factor. In equation it is,
(xy)^a = (x^a)(y^a)
The latter is when raising the base with a power to a power, the base will remain the same and the powers will be multiplied. In equation it is,
(x^a)(x^b) = x^ab
Check:
f(x) = 5*(16)^.33x = 5*(8*2)^0.33x = 5*(8^0.33x)(2^0.33x) = 5*(2^x)*(2^0.33x) = 5*(2^1.33x)
f(x) = 2.3*(8^0.5x) = 2.3*(4*2)^0.5x = 2.3*(2^x)(2^0.5x) = 2.3*(2^1.5x)
f(x) = 81^0.25x = 3^x
f(x) = 0.75*(9*3)^0.5x = 0.75*(3^x)*(3^0.5x) = 0.75*3^1.5x
f(x) = 24^0.33x = (8*3)^0.33x = (2^x)*(3^0.33x)
Therefore, the answer is third equation.
<em>ANSWER: f(x) = 81^0.25x = 3^x</em>
X = 4/3 because set y=0.
so 0=3x-4. add 4 to both sides so
4=3x. divide both sides by. 3 and you get x=4/3.
B = bees, w = wasps, x = hornets
b + w + x = 184
b = 3x - 9
w = x + 28
(3x - 9) + (x + 28) + x = 184...combine like terms
5x + 19 = 184
5x = 184 - 19
5x = 165
x = 165/5
x = 33 <== points scored by Hornets
-a²-3b³+c²+2b³-c²
= -(3)² - (3×2)³ + (-3)² + (2 × 2)³ - ( -3)²
= 9 - 24 + 9 + 16 - 9
= 1
answer is 1.