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2 years ago

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In a fruit cocktail, for every 20 ml of orange juice you need 45 ml of apple juice and 100 ml of coconut milk. What is the ratio

of apple juice to coconut milk to orange juice expressed in its simplest form?

1 answer:

zlopas [31]2 years ago

8 0

Answer:

I think it's 9:50

Step-by-step explanation:

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1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26

statuscvo [17]

Answer:

See below for answers and explanations (along with a graph attached)

Step-by-step explanation:

<u>Part A</u>

The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet

<u>Part B</u>

The graph's function would be in the form of $y=acos(bx+c)+d$ where $a$ is the amplitude, $\frac{2\pi}{b}$ is the period, $-\frac{c}{b}$ is the phase/horizontal shift, and $d$ is the average/midline.

We already know our amplitude of $a=3$ from part A.

Since our period is given to us as 26 seconds, then we can use the equation $\frac{2\pi}{b}=26$ to find $b$ , which happens to be $b=\frac{\pi}{13}$ .

Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity $sin(x)=cos(x-\frac{\pi}{2})$ which shifts the cosine graph $\frac{\pi}{2}$ units to the right. This means that $c=-\frac{\pi}{2}$ , making our phase shift $-\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5$ , or 6.5 feet to the right

Our average/midline would be $d=12$ as given as the average height by the problem.

Therefore, the function is $f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12$

<u>Part C</u>

Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).

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1 year ago

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Rewrite ×3×3×33 using an exponent

Anna11 [10]

the exponent tells you how many times to multiply the base number by itself. for 35 the base number or base is 3 and the exponent is 5 the value is 3 x 3 x 3 x 3 x 3 which has 3 multiplied by itself five times So your question is going in the opposite direction. Rather than going from a power and expanding it, we have the expanded form and we are asked to write the power 3 x 3 x 3 is written 33

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2 years ago

What is the domain of the function y=10-5x

sergey [27]

Any real number (-inf, inf)

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2 years ago

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Which pair of angles shares ray A and F as a common side?

Alika [10]

The pair of angles that share a ray as a common side in the given diagram is: ∠FAB and ∠FAD.

<h3>What are Adjacent Angles?</h3>

Adjacent angles are angles that lie adjacent or next to each other sharing a common vertex and have the same ray as a common side.

In the diagram attached below, ∠FAB and ∠FAD share a common vertex, A, and a ray FA as a common side.

Therefore, the pair of angles is: ∠FAB and ∠FAD.

Learn more about adjacent angles on:

brainly.com/question/26768295

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1 year ago

BRAINLIST ANSWER. Mike installed the window shown. How many square feet is the window? Round to the nearest tenth. Use 3.14 for

Vitek1552 [10]

We see that is a rectangle+1/2 circle

area of circle=pir^2

area of rectangle=LW or LH or something

aera of recctangle=2 times 1.5=3

area of half cirlce=1/2 times 3.14 times 1.5^2=1.57 times 2.25=3.5325

add
3+3.5325=6.5325 ft^2

area=6.5325 ft^2
round if nececary

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2 years ago

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