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Ivan
3 years ago
11

Choose the function whose graph is given by:

Mathematics
2 answers:
xeze [42]3 years ago
6 0

Answer:

Option B. y = cosx + 1

Step-by-step explanation:

To understand the given graph we will note down it's features as below.

1). Since it's a periodic function and y value of graph is maximum at x=0 so its a cosine function.

2). Vertical shift of the graph is 1 means y=0 is the mid line of the graph.

3). Amplitude of the graph is = (2-0)/2 = 1

4). Phase shift of the given graph = 0

The graph satisfying all properties is option B. y = cosx + 1

Daniel [21]3 years ago
4 0

Answer:

The correct option is B.

Step-by-step explanation:

From the given graph it is clear that the maximum value of the function is 2 at x=0, so it a cosine function.

The general form of a cosine function is

y=a\cos(bx+c)+d       .... (1)

Where, a is amplitude, 2π/b is period, c is phase shift and d is midline.

Since maximum value is 2 and minimum value is 0, so

Amplitude=a=\frac{2-0}{2}=1

Midline=b=\frac{2+0}{2}=1

Period=2\pi\Rightarrow b=1

Since maximum value is at x=0, therefore the phase shift is c=0.

Put these values in equation 1.

y=1\cos(1x+0)+1

y=\cos(x)+1

Therefore the correct option is B.

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A 4.5 kg cat requires medication at a dose rate of 5 mg/kg once daily for the next 7 days. The tablets are available in 10 mg st
Marta_Voda [28]

Answer:

<u>Approximately 16 tablets of medicine</u>

Step-by-step explanation:

Based on the information above , we can use a <u>Rule of Three</u> to first figure out how many mg the cat would need to ingest per day.

\frac{5mg}{1kg} = \frac{x}{4.5kg}

\frac{5mg*4.5kg}{1kg} = 22.5mg

Now we see that the cat needs to take a daily dose of 22.5mg. Since the Tablets come at a strength of 10 mg per tablet then,

22.5 / 10 = 2.25

The cat would need to take 2.25 tablets per day. Since she needs to take the dose for the next 7 days then,

2.25 * 7 = 15.75

She would need to take<u> approximately 16 tablets of medicine</u> during the week .

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

5 0
3 years ago
What is 3 times the sixth power of 10
sergey [27]
3000000...........
10^6 =1000000 (3) = 3000000
7 0
3 years ago
Read 2 more answers
Can someone plz help me with this one problem plz plz!!!!
tigry1 [53]

Answer:

the one on the left (the first one)

4 0
2 years ago
Read 2 more answers
HELP ASAP! Please give a detailed explanation!
mash [69]

Answer:

If the first die is a 5, the second must be 5 or more in order to have a sum of at least ten.

Assuming it is a six sided die, the two values that would make this true are 5 and 6.

2 values/6 possible would be a probability of 2/6, which simplifies to 1/3

Final answer: 1/3

Step-by-step explanation:

6 0
3 years ago
A bus trip takes 1.5 hours. By plane, the same trip takes 30 minutes. How
DENIUS [597]

Answer:

2 times faster

Step-by-step explanation:

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4 0
3 years ago
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