The sine model is y=10 sin(1/30 t) + 30. The 30 represents default distance from the ground, and the ten is required to represent the length of the blades. Every 30 seconds, one rotation completes, so t must be multiplied by 1/30.
The interpretation of<em> </em><em>x</em> in the equation 75•x + 19•y = T, used by the geographer, based on the land area of Aruba, 75 m², and Bermuda, 19 m², is the population in a square mile of Aruba
<h3>Which method can be used to find the interpretation of <em>x </em>in the equation?</h3>
The land area of Aruba = 75 m²
Land area of Bermuda = 19 m²
The total number of residents is given in the question by the equation;
75•x + 19•y = T
Therefore;
x = The number of people in a square mile in Aruba
y = The number of people in a square mile in Bermuda
Which gives;
- The interpretation of the variable, <em>x </em>in the context is the population of Aruba per square mile.
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Answer:
b= $3.99×2 + $2.50= $10.48
Step-by-step explanation:
We have the following unknowns:
p: number of people in the club
f: ounces of fruit punch
c: ounces of cheese
b: budget in dollars
We know that
p=12
Priya is preparing 8 ounces of fruit punch per person, so:
f= 8×p = 8×12 = 96
We need 96 ounces of fruit punch
Priya is preparing 2 ounces of cheese per person, so:
c= 2×p = 2×12 = 24
We need 24 ounces of cheese
A package of cheese contains 16 ounces and costs $3.99. In order to get all the cheese we need, Priya have to buy 2 packages of cheese.
2×16=32
32>24
A one-gallon jug of fruit punch contains 128 ounces and costs $2.50. Then, Priya have to buy only one gallon jug.
128>96
The budget would be:
b= $3.99×2 + $2.50×1
Answer:
x = 7 and x = -1
Step-by-step explanation:
First, we need to factor this quadratic.
To do this, start by finding all the factors of C.
7 x 1, -7 x -1
Now, we need to pick out the factors that add up to the b number, which is 8. That would be 7 and 1.
Now, we can use the numbers 7 and 1 to create two binomials.
( x + 7 ) ( x + 1 ) = 0
The last thing we need to do is to set those binomials to 0 and solve each of them individually.
x + 7 = 0
x = - 7
Solving the first binomial gives us our first solution, -7.
x + 1 = 0
x = -1
Solving the second one gives us our second solution, -1.
The solutions are -7 and -1.
