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Answer: 2pi</h3>
2pi radians are equal to 360 degrees. After this point, the function f(x) = sin(x) repeats its values again. Each cycle is 2pi radians long.
Answer:
Number of pounds of cashews = x = 14.96 pounds
Number of pounds of Brazil nuts = y = 19.04 pounds
Step-by-step explanation:
Let us represent:
Number of pounds of cashews = x
Number of pounds of Brazil nuts = y
The nut shack sells cashews for $6.00 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 34 pound mixture that sells for $5.44 per pound
Our system of equations is given as:
x + y = 34...... Equation 1
x = 34 - y
6x + 5y = 34 × 5.44
6x + 5y = 184.96.......Equation 2
Ww substitute : 34 - y for x in Equation 2
6(34 - y) + 5y = 184.96
204 - 6y + 5y = 184.96
Collect like terms
- 6y + 5y = 184.96 - 204
-y = -19.04
y = 19.04 pounds
Solving for x
x = 34 - y
x = 34 - 19.04
x = 14.96 pounds
Number of pounds of cashews = x = 14.96 pounds
Number of pounds of Brazil nuts = y = 19.04 pounds
Answer:
Time it will take to drain the entire tower = 2.8minutes
Step-by-step explanation:
The question is incomplete as the volume of the tower was not indicated.
Let's consider the following question:
If there are 7.48 gallons in a cubic foot, and the volume of the tower is around 36000in cubed. Residents of the apartment building are using the water from the tower at an average rate of 56 gallons per minute, determine how long it will take to drain the entire tower.
Solution:
Volume = 36000in³
Conversion of in³ to ft³
1 inch = 0.0833 feet
12 inch = 1 ft
1 ft³ = 1ft × 1ft × 1ft
= 12 in x 12 in x 12 in = 1728 in³
36000in³ × [(1ft³)/(1728 in³) = (36000/1728)ft³
= 20.833ft³
Volume = 20.833ft³
There are 7.48 gallons in a cubic foot
In 20.833ft³ = 20.833ft³× (7.48 gallons/1ft³)
= 20.833× 7.48gallons
Volume = 155.83 gallons
The rate of usage = 56 gallons per minute
The rate of usage for 155.83 gallons = 155.83 gallons × (1min/56gallons)
= (155.83/56)minute
= 2.8minutes
Time it will take to drain the entire tower = 2.8minutes
Answer:
d) f(x) = 5x + 2
Step-by-step explanation:
First we need to identify the variables and how they fit into the equation. in this case we know that the equation is f(x) = mx + b where f(x) is the total cost, m is the hourly cost, x is the number of hours bowled, and b is the price of the shoes.
Now, we need to solve for the hourly cost, so to do this we plug in all the known information to get 12 = m(2) + 2
To solve we need to isolate the variable by first subtracting 2 on both sides to get 10 = m(2) and then dividing both sides by 2 to get 5 = m.
Finally, since we now know that the hourly cost is $5 we can plug this information back into the equation to get f(x) = 5x + 2
Answer:
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