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Rom4ik [11]
2 years ago
9

A recipe says it produces the best sweet tea. In addition to using tea bags, the recipe calls for 12 cup of sugar for every 112

cups of water. a. Write an equation that shows the relationship between the number of cups of sugar to the number of cups of water in this recipe. Let s represent the number of cups of sugar, and let w represent the number of cups of water.
Mathematics
1 answer:
san4es73 [151]2 years ago
8 0

Answer:

Step-by-step explanation:

Answer:

The relationship between the number of cups of water and sugar  in the recipe is w = ¹/₃(s)

Step-by-step explanation:

Given;

number of cups of sugar = s

number of cups of water = w

The relationship between the number of cups of water and sugar in this recipe is given as;

½ cup of sugar is proportional to 1 ½ cups of water

Therefore, the relationship between the number of cups of water and sugar  in the recipe is w = ¹/₃(s)

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Ksenya-84 [330]

Answer:

The maximum power generated by the circuit is 300 watts.

Step-by-step explanation:

A quadratic function is one that can be written as an equation of the form:

f (x) = ax² + bx + c

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In this case, f(x) is P(c) [the power generated], x is the current c (in amperes), a = -12, b = 120 and c = 0.

The vertex is a point that is part of the parabola, which has the value as ordered  minimum or maximum function. If the scalar a> 0, the parabola opens or faces up and the vertex is the minimum of the function. In contrast, if a <0, the parabola opens downward and the vertex is the maximum of the function.

The calculation of the vertex, which in this case will be the maximum of the function, is carried out as follows:

  • The value of x, in this case the value of current c in amperes, can be calculated with the formula c=\frac{-b}{2*a} . In this case: c=\frac{-120}{2*(-12)} So c= 5 amperes. The current is 5 amperes.
  • The value of y, in this case the value of the electric current in watts, is obtained by substituting the value of c previously obtained in the function. In this case: P(5)= -12*5²+120*5. So P(5)= 300 watts

<u><em>The maximum power generated by the circuit is 300 watts.</em></u>

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3 years ago
Use number properties to simplify the following expression. -5 + (5 + 3)
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Number Properties: PEMDAS

Parentheses, Exponents, Multiplication, Division, Addition, & Subtraction


- 5 + (5 + 3)

1. Parentheses
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There Are No Exponents, Multiplication, Division, Or Addition

2. Subtraction
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Hot dogs come in packages of 8. hot dog buns come in packages of 12. if grace wants tohave enough to serve 24 people and have no
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She would by 3 packages of hot dogs and 2 packages of hot dog buns. 
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A software company is releasing one of their products on a CD. The manufacturer charges a $5,500 setup fee and $1.00 per CD. App
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Given:
set-up fee 5,500
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6 0
3 years ago
Read 2 more answers
Find x and round to the nearest tenth:)
Thepotemich [5.8K]

Answer:

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Step-by-step explanation:

Applying the Law of Sines, we have:

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