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Dafna1 [17]
3 years ago
13

The table of values shows the height of a buoy compared to the sea floor over time as the tide goes in and out. This can be mode

led by a sinusoidal function.
Which statements are true?
Select EACH correct answer

The maximum value of the function is 5.8

The amplitude of the function is 5.8

The period of the function is 24

The frequency of the function is 24

Mathematics
1 answer:
Anika [276]3 years ago
5 0

Answer:

1st statement is true

2nd is false (amplitude is (max - min) ÷ 2 so (5.8 - 4.6) ÷ 2 = 0.6)

3rd is true

4th is false (frequency is the reciprocal of period, they can't be the same)

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Mario works at a snack bar near the beach for 2 hours each Saturday. one Saturday, he started with 30 bottles of juice and sold
PSYCHO15rus [73]

Answer:

12 bottles were sold in the second hour.

Step-by-step explanation:

This problem can be solved by implementing an equation in one variable.

The equation will utilize the given values including total bottles of juice, the amount of juice sold in the first hour and amount of juice remaining at the end.

The equation will also consist of the value to be found out, the amount of juice sold in the second hour.

The value to be found out is substituted by a variable.

The equation is then solved by transfer of values and/or variable on the opposite side of the equal sign.

When a value/ variable is transferred on the opposite side of the equal sign, the sign of the value/ variable becomes the opposite.

The negative sign becomes positive and multiplication becomes division, and vice-versa.

1. In the first hour, \frac{3}{15} of all the juice was sold.

\frac{3}{15} of 30 is calculated as

\frac{3}{15} x 30 = 6

6 bottles are sold in the first hour.

2. At the beginning of the second hour, the amount of juice remaining is assumed to be a.

3. As per the question, at the end of second hour, the remaining juice is \frac{6}{15}.

\frac{6}{15} of 30 is calculated as

\frac{6}{15} x 30 = 12

12 bottles are remaining at the end of the second hour.

4. Alternatively, at the end of second hour, 30 - 6 - a of the juice is remaining.

We get, 24 - a bottles are remaining at the end of the second hour.

We equate the above expression with 12, we get the following equation.

24 - a = 12

Next, we transfer a from left side to the right side of the equation.

24 = 12 + a

Next, we transfer 12 from right side to the left side of the equation.

24 - 12 = a

=> 12 = a

OR

a = 12

Hence, 12 bottles were sold in the second hour.

5 0
3 years ago
Please help me ASAP QnQ
Deffense [45]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
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How can you find the length of ⎯⎯⎯⎯⎯⎯⎯⎯⎯
mestny [16]

Answer:

about 1 inch

Step-by-step explanation:

6 0
3 years ago
Write the time 8:30 then write this time in two other ways using words
guajiro [1.7K]
Half past eight or thirty minutes to nine
8 0
3 years ago
Mario went to a store and bought 3 slices of pizza. The guy at the register said " that would be $3.75". Mario then said "wait,
Zarrin [17]

Answer:

$5

Step-by-step explanation:

Cost per slice

3.75 / 3 = 1.25

Cost of 4 slices

1.25 * 4 = 5

5 0
3 years ago
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