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pishuonlain [190]
2 years ago
15

Alice is riding a Ferris wheel, where t is time in seconds. Suppose the Ferris wheel is 22 m tall. Let h(t) = 11cos(12t) represe

nt the height of Alice in m above or below the centre of the Ferris wheel. Relative to the centre of the Ferris wheel, what is the lowest height Alice achieves?
Mathematics
1 answer:
Soloha48 [4]2 years ago
7 0

Answer:

Alice reaches 11 metres below the centre as lowest height.

Step-by-step explanation:

Cosine is a bounded function between -1 and 1, so that the lowest height that Alice achieves in Ferris wheel is:

h(t) = 11\cdot \cos (12\cdot t)

Where:

t - Time, measured in seconds.

h(t) - Height with respect to centre, measured in metres.

If \cos (12\cdot t) = -1, then:

h_{min} = 11\cdot (-1)

h_{min} = -11\,m

Alice reaches 11 metres below the centre as lowest height.

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Answer:

The correct option is B.

Step-by-step explanation:

The given equation are

y=4x-3

y=-5x+9

On solving both the equation, we get

4x-3=-5x+9

4x+5x=9+3

9x=12

9x=\frac{12}{9}=\frac{4}{3}

Put this value in the given equation.

y=4(\frac{4}{3})-3

y=\frac{16}{3}-3

y=\frac{16-9}{3}

y=\frac{7}{3}

The solution of the given system of equation is

(\frac{4}{3},\frac{7}{3})=(1.333,2.333)\approx (1.3,2.3)

The best approximation of the exact solution is (1.3,2.3). Therefore the correct option is B.

7 0
2 years ago
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A company that is selling computer tablets has determined that it regularly makes a net profit of $180 for each computer tablet
Gekata [30.6K]

Answer:

Considering the prediction of people who will fill out the form and receive the refund, the company should expect its net profit to drop to:

  • <u>$174.6 per computer tablet</u>.

Step-by-step explanation:

The benefit per tablet before the rebate program is $180 per computer tablet, however, once the rebate program is implemented, 18% of people who purchase their computer tablet are expected to complete the form and obtain the VISA card, which would reduce the benefit as shown below:

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With this we identify that 18% of computer tablets will have a benefit reduced to $150, however, as the remaining percentage of tablets (82%) will still have the benefit of $180, the general benefit must be calculated to have a single value, as it's shown in the following:

  • Overall benefit = Percentage of tablets with reimbursement * Benefit of tablets with reimbursement + Percentage of tablets without reimbursement * Benefit of tablets without reimbursement.
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By having a $ 30 rebate on 18% of the tablets, the overall benefit drops to $174.6.

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2 years ago
At a cookout, Mrs. Crawford makes 8/9 pound of chicken, plus 1 pound for each guest. Is the relationship between the number of g
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No, this rel. is not proportional because of the addition involved ("plus 1 lb for each guest").

A proportional rel. features mult. only.

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2 years ago
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Tommy has a piece of toast that has butter on one side, and he dropped it twice. Both times, it landed with the butter side up.
Shkiper50 [21]
Since probability is the measure of the likelihood that an event will occur.so, maybe 5.
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The health benefits Tom receives from his employer cover 43% of the total monthly premium of $345.00. How much does Tom have to
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Answer:

The Amount tom has to pay is $196.65 therefore, Option b is correct

Step-by-step explanation:

Tom recieves 43% of total monthly premium

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57\%=\frac{57}{100}=.57

Therefore,The Amount tom has to pay is $196.65 that is option b is correct


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