Answer:
Step-by-step explanation:
Given two parametric equations
and
, the first derivative can be found using the following equation:

In this problem,
and
. Finding the derivative of each of these functions with respect to
gives us the following:


Because
, that means the function is a vertical line and has an infinite first derivative.
Answer:
7 points
Step-by-step explanation:
started out w/ 5 points, then loses 8
5 - 8 = -3
gains 10 points
-3 + 10 = 7
We have to calculate the pizza´s area.
r=radius
Area (circle)=π*r²
diameter=30 cm
radius=diameter/2=30 cm/2=15 cm
Area(pizza)=π*(15 cm)²=225π cm²≈706.86 cm².
solution: 706.86 cm²
Answer:
Let's call:
f = price of 1 cup of dried fruit
a = price of 1 cup of almonds
In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:
Solve for a in first equation:
a = (6 - 3f) / 4
Then substitute in the second equation:
41/2 f + 6 · (6 - 3f) / 4 = 9
41/2 f + 9 - 9/2 f = 9
16 f = 0
f = 0
Now, substitute this value in the formula found for a:
a = (6 - 3·0) / 4
= 3/2 = 1.5
Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$
Step-by-step explanation:
Answer:
Step-by-step explanation:
0,20