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16. A store sells ice cream. Each ice cream contains two tablespoons of ice cream. Possible flavors are vanilla, strawberry, chocolate and mint. Both spoons can be the same taste or different flavors. In one hour the store sells 180 tablespoons of ice cream. The pie chart presents the following data: Chocolate = 100ok, vanilla = 90⁰, strawberries = 150 lu, mint = x⁰. How many ice cream scoops of each flavor sold are thrown away in an hour?

12. In one hour a car can make 600 buttons or 720 buttons. At 3 o'clock in the afternoon the car starts working. Makes 900 buttons and then changes to button production. How many buttons will the machine make by 8 p.m.?

11. The length of the ladder, measured in the nearest cm, is 110 cm. Fill in the error interval: ____cm ≤ length <_____ cm

If f(t)= e^iwt at the interval (-π, π) determine fourier series of the f(t) ?

suppose the total cost of a certain commodity is given by 𝐶(𝑥) = 1/10 𝑥^2 +

       6𝑥 + 50 dollars with selling price 𝑝(𝑥) = 70 − ' x/ 2 dollars per item.

 a) What is the actual cost of producing the 40th unit?

b) Use marginal cost to estimate the cost of producing the 40th unit.

c) What is the actual revenue derived from the sale of the 25th unit.

d) Use the marginal revenue to estimate the revenue derived from the sale of the 25th unit.

True and False with explanation

1.Total 5³ simple random samples of size 3 can be drawn without replacement from a 

population of size 5. 

2.f(x)=x+(1/x ) 0<x<=1

3.The best measure of tendency for the data 10,8,6,4,2 98, ,100 is its mean. 

4.|axb| is max when a nad b are parallel.

At 8:15 Bonita left her house to the airport at an average speed of R65km/h. At 9:00 her boyfriend Bernard left Bonita's house and followed her path at an average speed of 104km/h. Bonita and Bernard arrived at the airport at exactly the same time. A linear relationship exist between the time and the distance travelled. The time is dependent on the number of kilometers travelled. Determine the time they arrived at the airport

What is MATH

Using Laplace transformers solve du/dt=d²u/dx², x>0 ,t>0 with the condition U(0,t)=1,u(x,0)=0

Using the method Laplace of separation of variables, solve du /dt=d²u/dx², u(0,t)=0, u(4,t)=0, u(x,0)=sin3x