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attashe74 [19]
3 years ago
8

john collects Pokeman cards. He collected 44 water cards, 52 fire cards, and 67 grams cards. he put 9 of each in protective shee

ts. how many full sheets does he have?
Mathematics
1 answer:
Yanka [14]3 years ago
3 0

Answer:

He can fill 18 full sheets.

Step-by-step explanation:

44 + 52 + 67 = 163

163/9 = 18.11

The question asks for a whole number, not a decimal or fraction, so therefore, he only has 18 full sheets.


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A Cepheid variable star is a star whose brightness alternately increases and decreases. For a certain star, the interval between
sattari [20]

Answer:

a)

B'(t) = \dfrac{0.9\pi}{4.4}\cos\bigg(\dfrac{2\pi t}{4.4}\bigg)

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Step-by-step explanation:

We are given the following in the question:

B(t) = 4.2 +0.45\sin\bigg(\dfrac{2\pi t}{4.4}\bigg)

where B(t) gives the brightness of the star at time t, where t is measured in days.

a) rate of change of the brightness after t days.

B(t) = 4.2 +0.45\sin\bigg(\dfrac{2\pi t}{4.4}\bigg)\\\\B'(t) = 0.45\cos\bigg(\dfrac{2\pi t}{4.4}\bigg)\times \dfrac{2\pi}{4.4}\\\\B'(t) = \dfrac{0.9\pi}{4.4}\cos\bigg(\dfrac{2\pi t}{4.4}\bigg)

b) rate of increase after one day.

We put t = 1

B'(t) = \dfrac{0.9\pi}{4.4}\cos\bigg(\dfrac{2\pi t}{4.4}\bigg)\\\\B'(1) = \dfrac{0.9\pi}{4.4}\bigg(\cos(\dfrac{2\pi (1)}{4.4}\bigg)\\\\B'(t) = 0.09145\\B'(t) \approx 0.09

The rate of increase after 1 day is 0.09

8 0
3 years ago
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tamaranim1 [39]

Answer:

1.6 hours / 1 hour 36 minutes

Step-by-step explanation:

105+95=200 miles

This is the distance that the trains could travel in an hour.

320÷200=1.6 hours

Our Answer is 1.6 hours / 1 hour 36 minutes

3 0
3 years ago
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