V (Volume) = s^2 * h = 48 ------> h = 48s^-2
C (Cost) = (4sh)(2) + (2s^2)(1) = 2s^2 + 8sh = 2s^2 + 8s(48s^-2) = 2s^2 + 384s^-1
dC/ds = 4s - 384s^-2 = 0 ------> 4s(1 - 96s^-3) = 0
Since s can't be 0, the only possible solution is:
1 - 96s^-3 = 0
s^3 - 96 = 0
s = cube root(96) = 2 cube root(12) ~ 4.579 cm
s^2 = 4 + 2 cube root(18) = 2[2 + cube root(18)]
h = 48/s^2 = 24/[2 + cube root(18)] ~ 5.194 cm
Answer:
The equation to determine the total length in kilometers is
The total length in kilometers of Josh’s hike is 38 km.
Step-by-step explanation:
Given:
Let the total length in kilometers of Josh’s hike be h.
Now Given that He has now hiked a total of 17 km and is 2 km short of being 1/2 of the way done with his hike.
It means that to reach half of the length of total length Josh needs 2 more km to add in his hiking which is done which is of 17 km.
Framing the above sentence in equation form we get;
Hence, The equation to determine the total length in kilometers is
Now Solving the above equation we get;
First we will multiply 2 on both side using Multiplication property we get;
Hence, The total length in kilometers of Josh’s hike is 38 km.
Answer:
a.The number of calories/serving is a quantitative variable.
Step-by-step explanation:
A categorical variable, also called nominal variable, is a variable that has two or more categories, but there is no intrinsic ordering to the categories.property.
A quantitative variable is a variable which can have some numerical value i.e. it can be represented in numbers. Arithmetic operations can also be performed on quantitative variables.
The number of calories and grams of fat can take numerical values, that makes them a quantitative variable.
The variables "hot/cold" and the measurement of "meets daily nutritional requirements for iron" are categorical variables, they do not take numerical values.
Option A is the only correct option
Answer:
consistent
Step-by-step explanation:
The solution to a system of equations is at the point of intersection of the 2 lines.
There is only one point of intersection, thus
The system has 1 solution and is consistent