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Elena-2011 [213]
3 years ago
15

Sushil was thinking of a number. Sushil adds 72 to the number, then doubles the result to get

Mathematics
1 answer:
Makovka662 [10]3 years ago
4 0

Answer:

let: z = the unknown number

2(z+72)=18.2

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14.1 inches do you need an explanation 
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3 years ago
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).

5 0
2 years ago
Read 2 more answers
Where is the answer to the expression 4 − 8 located on a horizontal number line?
alexandr402 [8]

At the point -4


Since 4-8 = -4


Hope this helps!

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How much is 28463+98642-98= ?<br><br> I will mark brainliest
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Answer:

ans is 127007..........

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2 years ago
A jar contains 2 pink, 6 red, and 4 blue marbles. If you pick one marble without looking, what is the probability that the marbl
melamori03 [73]

Answer:

5/6

Step-by-step explanation:

2+6+4=12

6+4=10

10/12=5/6

4 0
3 years ago
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