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sleet_krkn [62]
3 years ago
11

Lake superior is the largest of the great lakes. it covers a surface area of about 30000 square miles. how can one show the esti

mated area of Lake superior as a whole number multiplied by a power of ten.
what are you asked to find?
how can you use a pattern to find the answer
Mathematics
1 answer:
Natali [406]3 years ago
3 0
3x10x10x10x10=3x10^{4}
you were asked to find how many powers of ten were there then multiply it by three.(like the one one top)
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On day t=0t=0t, equals, 0, the stock is at its average value of {\$}3.47$3.47dollar sign, 3, point, 47 per share, but 91.2591.25
Norma-Jean [14]

Answer:

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Step-by-step explanation:

Complete Question is presented in the attached image to this solution.

- Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function S(t) of time t (in days) using a sinusoidal expression of the form

S(t) = a.sin(b.t) + d.

On day t = 0, the stock is at its average value of $3.47 per share, but 91.25 days later, its value is down to its minimum of $1.97.

Find S(t). t should be in radians.

S(t) =

Solution

S(t) = a.sin(b.t) + d.

At t = 0, S(t) = $3.47

S(0) = a.sin(b×0) + d = a.sin 0 + d = 3.47

Sin 0 = 0,

S(t=0) = d = 3.47.

At t = 91.25 days, S(t) = $1.97

But, it is given that T has to be in radians, for t to be in radians, the constant b has to convert t in days to radians.

Hence, b = (2π/365)

S(91.25) = 1.97 = a.sin(b×91.25) + d

d = 3.47 from the first expression

S(t = 91.25) = a.sin (91.25b) + 3.47 = 1.97

1.97 = a.sin (2π×91.25/365) + 3.47

1.97 = a sin (0.5π) + 3.47

Sin 0.5π = 1

1.97 = a + 3.47

a = -1.5

Hence,

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Hope this Helps!!!

6 0
3 years ago
A standard die is rolled 360 times in hopes of rolling a 5 or 6. So the probability of success is p=1/3. Find the standard devia
lana [24]

Answer: option 1 is the correct answer

Step-by-step explanation:

Number of times for which the die was rolled is 360. It means that our sample size, n is 360.

The probability of rolling a 5 or a 6 is 1/3. It means that probability of success,p = 1/3. The probability of failure,q is

1 - probability of success. It becomes

1 - 1/3 = 2/3

The formula for standard deviation is expressed as

√npq. Therefore

Standard deviation = √360 × 1/3 × 2/3

= √80 = 8.9443

Standard deviation is approximately 8.9

4 0
3 years ago
Geometry multiple choice question HELPPP!!!??
Bas_tet [7]

Answer:

24/30

Step-by-step explanation:

5 0
2 years ago
Please help me with this answer​
Naya [18.7K]

Answer: I think its 4200

8 0
3 years ago
A candle burned at a steady rate. After 37 minutes, the candle was 11.2 inches tall. Eighteen minutes later,
irinina [24]

Answer:

i think the answer is 4.65 inches tall.

Step-by-step explanation:

i attempted it this may be wrong just wait for someone to confirm it.

3 0
3 years ago
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