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Dimas [21]
3 years ago
5

A recipe calls for 3/4 cups of flour. If you need to split the recipe in half, how much flour would be needed?

Mathematics
2 answers:
topjm [15]3 years ago
7 0
3/8, basically you needed to find 1/2 OF the 3/4 cups of flour so basically you had to multiply 3/4 and 1/2 and you would get 3/8
amid [387]3 years ago
6 0
3/4 * 1/2= 3/8

  3      1      3
___*___=____
  4      2      8

3/8 cups of flour
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Base: z(x)=cosx Period:180 Maximum:5 Minimum: -4 What are the transformation? Domain and Range? Graph?
garik1379 [7]

Answer:

The transformations needed to obtain the new function are horizontal scaling, vertical scaling and vertical translation. The resultant function is z'(x) = \frac{1}{2}  + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right).

The domain of the function is all real numbers and its range is between -4 and 5.

The graph is enclosed below as attachment.

Step-by-step explanation:

Let be z (x) = \cos x the base formula, where x is measured in sexagesimal degrees. This expression must be transformed by using the following data:

T = 180^{\circ} (Period)

z_{min} = -4 (Minimum)

z_{max} = 5 (Maximum)

The cosine function is a periodic bounded function that lies between -1 and 1, that is, twice the unit amplitude, and periodicity of 2\pi radians. In addition, the following considerations must be taken into account for transformations:

1) x must be replaced by \frac{2\pi\cdot x}{180^{\circ}}. (Horizontal scaling)

2) The cosine function must be multiplied by a new amplitude (Vertical scaling), which is:

\Delta z = \frac{z_{max}-z_{min}}{2}

\Delta z = \frac{5+4}{2}

\Delta z = \frac{9}{2}

3) Midpoint value must be changed from zero to the midpoint between new minimum and maximum. (Vertical translation)

z_{m} = \frac{z_{min}+z_{max}}{2}

z_{m} = \frac{1}{2}

The new function is:

z'(x) = z_{m} + \Delta z\cdot \cos \left(\frac{2\pi\cdot x}{T} \right)

Given that z_{m} = \frac{1}{2}, \Delta z = \frac{9}{2} and T = 180^{\circ}, the outcome is:

z'(x) = \frac{1}{2}  + \frac{9}{2} \cdot \cos \left(\frac{\pi\cdot x}{90^{\circ}} \right)

The domain of the function is all real numbers and its range is between -4 and 5. The graph is enclosed below as attachment.

8 0
3 years ago
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Leno4ka [110]

Answer:

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Step-by-step explanation:

4 0
2 years ago
A water park sells 168 tickets. Each ticket costs $12. What is the total cost of the tickets sold?
padilas [110]

Answer:

The total cost of tickets sold is $2016.

Step-by-step explanation:

What I did to get this answer was multiply 168 and 12

Hopes everyone has a good day, and plz stay safe :)

4 0
3 years ago
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Given that A varies directly as B and inversely as C and that; A=12 when B=3 and C=2. Find B when A=10 and C=1.5​
maria [59]

Answer:

B = 1.875

Step-by-step explanation:

given that A varies directly as B and inversely as C then the equation relating them is

A = \frac{kB}{C} ← k is the constant of variation

to find k use the condition A = 12 when B = 3 and C = 2 , then

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when A = 10 and C = 1.5 , then

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15 = 8B ( divide both sides by 8 )

1.875 = B

8 0
2 years ago
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