Answer:
f(g(3)) =31
Step-by-step explanation:
f(x) = 3x+4
g(x) = x^2
f(g(3) ) =
First find g(3)
g(3) = 3^2 =9
The use 9 in f(x)
f(g(3)) = f(9) = 3*9+4 = 27+4 = 31
Answer:
Length of sides of poster = 2 Ft
Length of sides of box = 2.41 Ft
Since the box has a longer side than the poster, the poster will lie flat when placed in the box.
Step-by-step explanation:
In order to determine if the poster will lie flat in the box or not, we will determine the length of the sides of the poster and the box, if the length of the side of the square poster is smaller than that of the box, it will lie flat. This is calculated as follows:
Area of poster = 4 square feet
Area of poster = (Length)²
4 = (Length)²
∴ Length = √(4)
Length of poster = 2 Ft
Volume of box = 14 cubic feet
Volume of box = (Length)³
14 = (Length)³
∴ Length = ∛(14)
Length = 2.41 Ft
∴ Length of sides of poster = 2 Ft
Length of sides of box = 2.41 Ft
Since the box has a longer side than the poster, the poster will lie flat when placed in the box.
I'll go out on a limb here, and assume that you want a unit rate,
although technically, you haven't asked ANY question.
==> 13.66¢ per ounce
==> 7.32 ounces per dollar
17.5
The pattern is to add 2.5 to every number.
10 quarters....5 nickels......15 in total
probability of picking a nickel first is 5/15 which reduces to 1/3
without replacement
probability of picking a quarter next is 10/14 which reduces to 5/7
probability of both is : 1/3 * 5/7 = 5/21 <==
There are dependent events being that u didn't replace what u picked <==