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Scilla [17]
3 years ago
7

An object is attached to a spring that is stretched and released. The equation d=-8cos(pi/6 t) models the distance, d, of the ob

ject in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 6 inches above the rest position? Round to the nearest hundredth, if necessary.
A)0 seconds
B)1.38 seconds
C)4.62 seconds
D)8 seconds

Mathematics
2 answers:
sesenic [268]3 years ago
5 0

Answer:

4.62

Step-by-step explanation:

using the distance formula plug in the 6

6=-8cos(pi/6 t)

lukranit [14]3 years ago
3 0

Answer:

Option C - 4.62 seconds

Step-by-step explanation:

Given : An object is attached to a spring that is stretched and released. The equation d=-8\cos(\frac{\pi}{6} t) models the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds.

To find : When will the object be 6 inches above the rest position?  

Solution :

We have given the model,

d=-8\cos(\frac{\pi}{6} t)

Where, d is the distance of the object in inches above or below the rest position and t is a function of time in seconds.

We have to find the time at which the object be 6 inches above the rest position i.e, for d=6.

Firstly we plot the graph of the given model,

Refer the attached graph below.

Now, the object be 6 inches above the rest position i.e, for d=6.

The time is t=4.62 seconds.

Therefore, Option C is correct.

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4 0
3 years ago
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2 years ago
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Plot 9/10 and 1 2/5 on the number line below​
HACTEHA [7]
First one is 9/10 second is 1 2/5

6 0
3 years ago
») Evaluate the expression for c = 4 and d = 11.<br> C + d =
HACTEHA [7]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Colin invests £3300 into his bank account.
lorasvet [3.4K]

Answer:

$3714.18

Step-by-step explanation:

From the question;

Amount invested is $3300

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Time is 4 years

We want to determine the amount that accrued after 4 years

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Therefore;

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Therefore, the amount accrued after 4 years is $3714.18

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3 years ago
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