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BigorU [14]
3 years ago
6

you have a 20 ounce bottle of juice. you pour out 1/4 of the bottle to share with a friend. if your our out 3 ounces for yoursel

f, what fraction of the 20 ounces will be left in the bottle?
Mathematics
1 answer:
seropon [69]3 years ago
5 0
12 ounces will be left in the bottle

Turn the 1/4 into a decimal which is 0.25 and times that by 20 and you’ll get 5, 5 is the amount of ounces you poured for your friend. Subtract 20 ounces by 5 ounces and you’ll get 15 ounces, then subtract 15 by 3 which is the amount of juice you poured for yourself and you’ll be left with 12 ounces in the bottle.
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The sum of two numbers is 62, and their difference is 12. What are the numbers?
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The graph of a sinusoidal function intersects its midline at (0,5) and then has a maximum point at (\pi,6)
Natalija [7]
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Then, we should determine whether to use a sine or a cosine function, based on the point where x=0.

Finally, we should determine the parameters of the function's formula by considering all the above.
     
                      Determining the amplitude, midline, and period 

The midline intersection is at y=5 so this is the midline. 

The maximum point is 1 unit above the midline, so the amplitude is 1. 

The maximum point is π units to the right of the midline intersection, so the period is 4 * π.
 
                            Determining the type of function to use 

Since the graph intersects its midline at x=0, we should use thesine function and not the cosine function. 

This means there's no horizontal shift, so the function is of the form -

a sin(bx)+d

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The amplitude is 1, so |a| = 1. Since a >0 we can conclude that a=1. 

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f(x)1 sin   (\dfrac{1}{3}x) +5  = Solution
8 0
3 years ago
Will give brainliest please help ASAP
Y_Kistochka [10]
The answer should be f(x)=20(2.5)^x

How?

the graph crosses the f(x) axis at 20 but that's common in all 4 equations. However, when x=1, f(x)=50. We have to know try all the equations by substituting these values in ( both sides are equal).

f(x)=20(2.5)^x
substitute f(x)=50, x=1
50=20(2.5)^1
50=20*2.5
50=50
8 0
3 years ago
The area of the pathway is square, and its area is 196 square cm. Find the length of the pathway.
Ivanshal [37]

Answer:

14 cm

Step-by-step explanation:

Use the formula for the area of a square, a = s², where s is the side length of the square.

Plug in 196 as the area, then solve for s.

a = s²

196 = s²

14 = s

So, the length of the pathway is 14 cm

7 0
2 years ago
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