Answer:
12 different types of sandwich could be made.
Step-by-step explanation:
Since I am making a sandwich at the cafeteria where they have 2 kinds of bread, 2 kinds of cheese, and 3 kinds of meat, to determine how many different sandwiches could I make the following calculations must be performed:
Bread x cheese x meat = X
2 x 2 x 3 = X
4 x 3 = X
12 = X
Therefore, 12 different types of sandwich could be made.
Answer:
6 and 0
Step-by-step explanation:
When we have f(-3) and f(6), that means we plug -3 and 6 in for x to solve for f(x):
f(-3) = (-2/3) * (-3) + 4 = 2 + 4 = 6
f(6) = (-2/3) * 6 + 4 = -4 + 4 = 0
The answers are thus 6 and 0.
We have two relations between length and width. One is given in the problem statement. The other is given by the formula for perimeter. We can solve the two equations in two unknowns using substitution.
Let w and l represent the width and length of the sign in feet, respectively.
... l = 2w -12 . . . . . the length is 12 ft less than twice the width
... p = 2(l +w) = 114 . . . . the perimeter is 114 ft
Using the first equation for l, we can substitute for l in the second equation.
... 114 = 2((2w -12) +w)
... 114 = 6w -24 . . . . . . . . simpify
... 138 = 6w . . . . . . . . . . . add 24
... 23 = w . . . . . . . . . . . . . divide by 6
... l = 2w -12 = 2·23 -12 = 34 . . . . use the equation for l to find l
The length and width of the sign are 34 ft and 23 ft, respectively.
Answer:

Step-by-step explanation:
Given that rock experiments a constant acceleration, position function can be obtained by integrating twice:


The initial conditions of the rock are, respectively:


Position of the rock as a function of time is:

The time taken for the rock to hit the canyon floor is:




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