6 * 2.5 = 15 That’s the area of the base
2.5 * 4 = 10
10 * 2 = 20
That’s the area of the 2 smaller sides
6 * 4 = 24
24 * 2 = 48
That’s the area of the 2 larger sides
Then you add all the dimensions together.
15+20+48 = 83.
So, the final equation is (6*2.5) + 2(2.5*4) + 2(6*4) = 83
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>
Answer:
He worked a total of 5 hours.
Step-by-step explanation:
The first hour the man makes $35 dollars for the first hour then for the other hours he earns $23 dollars, right? So we start off with 35.
35 = one hour.
35 + 23 = 2 hours . = 58.
35 + 23 + 23 = 3 hours. = 81.
35 + 23 + 23 + 23 = 4 hours. = 104.
35 + 23 + 23 + 23 + 23 = 5 hours. = 127.
We were looking for if the man earned $127 dollars how many hours would be be working.
He'd be working 5 hours.
Hope this helps (:
The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.
Step-by-step explanation:
The given is,
Trash can has a height of 24.90 inches
Diameter of 15.50 inches
Step:1
Formula to calculate the volume of cylinder,
.............................(1)
Where, r - radius of cylinder
h - Height of cylinder
From given,
h - 24.90 inches
D - 15.50 inches
Diameter to radius conversion,
r = 7.75 inches
Equation (1) becomes,
(∵ 
)
= 4698.42
≅ 4698 cubic inches
Volume of trash can, V = 4698 cubic inches
Result:
The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.
