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Thepotemich [5.8K]
4 years ago
10

A buoy floating in the ocean is bobbing in simple harmonic motion with period 3 seconds and amplitude 13in. Its displacement d f

rom sea level at time t=0 seconds is 0in, and initially it moves downward. (Note that upward is the positive direction.) Give the equation modeling the displacement d as a function of time t.
Mathematics
1 answer:
Ymorist [56]4 years ago
5 0

You can try to find your answer at preanswer.com

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Jamie is buying 5 concert tickets, and he wants his total cost to be no more than $4 Above or below $80. Which inequality models
kumpel [21]

Answer:

Option C \left|80-5x\right|\le 4

Step-by-step explanation:

Let

x ----> the cost of the concert ticket

we know that

The total cost to be no more than $4 Above  $80

so

5x\leq 80+4

Solve for x

x\leq \$16.80

The total cost to be no more than $4  below $80

so

5x\geq 80-4

Solve for x

5x\geq 76

x\geq \$15.2

therefore

The inequality that represent this problem is

\left|5x-80\right|\le 4

<u><em>Verify</em></u>

<em>First solution (positive case</em>)

+(5x-80)\le 4

5x\le 80+4

Solve for x

x\leq \$16.80 ----> is ok

<em>Second solution (negative case)</em>

-(5x-80)\le 4

Multiply by -1 both sides

(5x-80)\ge -4

5x\geq 80-4

Solve for x

5x\geq 76

x\geq \$15.2 ---> is ok

Remember that

\left|5x-80\right|\le 4 is equivalent to \left|80-5x\right|\le 4

Because is a absolute value

8 0
3 years ago
At the Science Museum, there is an exhibition with 150 displays about energy.
tatuchka [14]
<span>1/5
       
This is a matter of elimination. So let's figure out how many of each display there is. 30% of 150 = 0.30 * 150 = 45 displays about electricity. 2/5 * 150 = 0.40 * 150 = 60 displays about renewable energy 1/10 * 150 = 150/10 = 15 displays about gas. The rest of the displays are about nuclear power. So 150 - 45 - 60 - 15 = 30 displays about nuclear power. Since we want a fraction, we get 30/150 But 30/150 isn't in it's simplest form. The largest number that will evenly divide both 30 and 150 is 30. So divide both the numerator and denominator by 30 (30/30)/(150/30) = 1/5 So 1/5 of the displays are about nuclear power.</span>
8 0
3 years ago
Only need help with the second question. Hope someone can help
DIA [1.3K]

1.11111111111%

did the math hope it helps you out

3 0
3 years ago
Read 2 more answers
Wanda and Kyle want to compare the worth of their baseball cards. Wanda has 80 baseball cards and Kyle has 110 baseball cards. S
chubhunter [2.5K]

Answer:

Mean

Step-by-step explanation:

If Wanda has 80 baseball cards and Kyle has 110 baseball cards. Given that they know the total value of all their individual base ball cards, the worth of each baseball card will be derived by dividing the Total Worth of the cards by the number of cards. This is an example of Mean. Therefore they should use Mean to compare the worth of the cards.

Illustrative Example

If the Total Value of their cards are $500,

For Wanda, Value Per Card= $500/80 Cards =$6.25 per card

Similarly,

For Kyle, Value Per Card= $500/110 Cards =$4.55 per card

So we can see from this illustration whose card is with an higher price using the mean.

5 0
3 years ago
Bogart has 150 stamps. 30% of them are from Africa. How many stamps are from Africa?
ira [324]

Answer:

There are 45 stamps from Africa

Step-by-step explanation:

10% of 150 is 15

30% of 150 is 45

15*3 = 45

8 0
2 years ago
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