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OverLord2011 [107]
3 years ago
6

Es - Determine the equation for the function shown on the graph.

Mathematics
1 answer:
melisa1 [442]3 years ago
4 0

Answer:

y=3\sin x

Step-by-step explanation:

The function repeats the same shape after every 2\pi units.

The function is symmetric with respect to the origin so it is a sine function.

The amplitude is 3 because the graph has range -3\le y\le 3

The equation is of the form y=a\sin x where a=3 is the amplitude.

Hence the required equation is y=3\sin x

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Suppose an apple picker in China earns an average wage of 45 cents per hour. An apple picker can harvest about 2.0 bushels of ap
Eduardwww [97]

Answer:

0.0398 dollars

Step-by-step explanation:

We are told in the question that

An apple picker in China earns an average wage of 45 cents per hour.

Mathematically

1 hour= 45 cents............ Equation 1

An apple picker can harvest about 2.0 bushels of apples each hour.

Mathematically

2.0 bushels = 1 hour ..............Equation 2

We are told that each bushel contains about 126 apples

1 bushel = 126 apples

2 bushels =

126 × 2

= 252 apples

Combining Equation 1 and 2 together,

We can say

An apple picker in 1 hour harvests 2 bushels of apples which is 252 apples and is paid 45 cents

1 hour = 2 bushels of apples

1 hour = 252 apples

1 hour = 45 cents

Hence we can say fro harvesting 252 apples, an apples picker is paid 45 cents

Mathematically,

252 apples = 45 cents

One gallon of apple juice requires 40 apples

We are to calculate the labor cost of one gallon of apple juice in dollars

If : 252 apples = 45 cents

40 apples = X cents

Cross Multiply

40 × 25 = 252 × X

X = (40× 25) ÷ 252

X = 3.984063745 cents

Hence the labor cost of 40 apples = 3.984063745 cents

Approximately = 3.98 cents

Converting 3.98 cents to dollars

100 cents = 1 dollar

3.98 cents =

= 3.98/100

= 0.0398 dollars.

Therefore, the labor cost of one gallon of apple juice in dollars is 0.0398 dollars.

8 0
3 years ago
After working for 6 hours kevin earned 51.00. what is kevin's unti rate
amid [387]

Answer:

Kevin's unit rate is 8.5.  This means Kevin earns $8.5 ever hour.

Step-by-step explanation:

51.00/6.

Hope this helps! :)

7 0
2 years ago
Read 2 more answers
Jessica completed 20 haircuts in 8 hours. On average how many haircuts per hour did Jessica do?
jeka94

Answer:

two and a half

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Get the general term for the sequence being your t3 = 11 and the t20 = 244.2
marusya05 [52]

Answer:

nth term = t_{n} = 7.639(1.2)^{n - 1}

Step-by-step explanation:

Let us assume that the given sequence is a G.P.

Now, if the first term of the G.P. is a and the common ratio is r, then

Third term = t_{3} = ar^{2} = 11 .......... (1) and  

20th term = t_{20} = ar^{19} = 244.2 ........... (2)

Now, dividing equation (2) with equation (1) we get

\frac{ar^{19} }{ar^{2} } = \frac{244.2}{11} = 22.2

⇒ r^{17} = 22.2

⇒ r = 1.2.

Hence, from equation (1) we get

a(1.2)² = 11

⇒ a = 7.639 (Approx.)

Therefore, the general term of the sequence i.e. nth term = t_{n} = 7.639(1.2)^{n - 1} (Answer)

5 0
3 years ago
Help me please and thank you
Anna35 [415]

Answer: C

Step-by-step explanation: since he has 4 dice, there are 24 chances. But he needs 2 fives. That means 2/24 = 1/13. 1/13= C

4 0
3 years ago
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