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2 years ago

I need help PLEASE !!!! Write a cosine function that has an amplitude of 2, a midline of 4 and a period of 4.

Mathematics

1 answer:

stiv31 [10]2 years ago

5 0

Answer:

$\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}$

Step-by-step explanation:

The standardized cosine function is ;

$\mathbf{y = Acos (Bx + C) +D}$

Amplitude |A| = 2

Period $\dfrac{2 \pi}{B }= 4$

2π = 4B

$B = \dfrac{2 \pi}{4}$

$B = \dfrac{\pi}{2}$

Midline y = 4; D = 4

Phase shift; since no phase shift is given; then C = 0

The cosine function: $\mathbf{y = 2cos ( \dfrac{\pi}{2}(x - 0) + 4}$

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Answer:

Each pitcher has the same fraction of the other drink.

Step-by-step explanation:

After 1 cup of tea is added to x cups of lemonade, the mix has the ratio 1:x of tea to lemonade. So, the fraction of mix that is tea is 1/(x+1).

The 1 cup of mix contains 1/(x+1) cups of tea and so x/(x+1) cups of lemonade. When that amount of lemonade is added to the tea, it brings the proportion of lemonade in the tea to (x/(x+1))/x = 1/(x+1), the same proportion as that of tea in the lemonade.

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You can consider the degenerate case of one cup of drink in each pitcher. Then when the 1 cup of tea is removed from its pitcher and added to the lemonade, you have a 50-50 mix of tea and lemonade. Removing 1 cup of that mix and putting it back in the tea pitcher makes there be a 50-50 mix in both pitchers.

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3 years ago

Complete the congruence statement if ΔABC ≅ ΔPQR.

Aliun [14]

Answer:

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Step-by-step explanation:

i had a test that had this same question. Hope this Helps!!! :)

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2 years ago

Would you rather drive 0.3 miles to fill up for $3.59 per gallon OR drive 1.2 miles to fill up for $3.41 per gallon?Please expla

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 $\frac{25miles-----\ \textgreater \ 1gallon}{0.3miles-----\ \textgreater \ xgallons}$
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We just proved that in our trip, we used 0.012 gallon, and at $3.59 per gallon; we will pay (0.012)(3.59)=$0.04 for that gasoline.

For our second situation, drive 1.2 miles to fill up for $3.41 per gallon:
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2 years ago

I really need help with this one please help me thank you

sveta [45]

Answer:

Step-by-step explanation:

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2 years ago