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2 years ago

Examine the following sequence 1, 4, 9, 16, 25…. Why is 36 the next number in the sequence? Because the pattern is:

1 answer:

7 0

You are adding consecutive odd numbers to the number before. Starting with 1, add 3 to get 4. Add 5 to 4 to get 9. Add 7 to 9 to get 16, add 9 to 16 to get 25, add 11 to 25 to get 36. Trying to figure out how to write that as a recursive rule...

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A set of data with a mean of 45 and a standard deviation of 8.3 is normally distributed. Find the value that is –2 standard devi

dybincka [34]

45+8.3 = 53.3

45 - (2(8.3)) = 28.4

The value is 28.4 that is –2 standard deviations away from the mean.

6 0

3 years ago

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HELP PLEASE ASAP!!! Khan Academy unit test!

dsp73

Answer:

As=0.13

Step-by-step explanation:

If we have central angle we use this rule to find area of sector :

$As=\pi r^{2}(\frac{C}{360})$

C is central angle. r is radius.

$As=\pi *9*\frac{\frac{9\pi }{17} }{360} =\\\\As=\pi *9*\frac{9\pi }{17*360} =\\\\$

Evaluate :

$\frac{798.63}{6120}=0.13$

4 0

3 years ago

After the consumption of an alcoholic beverage, the concentration of alcohol in the bloodstream (blood alcohol concentration, or

bezimeni [28]

Answer:

about 0.177 mg/mL

Step-by-step explanation:

The maximum is found where the derivative of C(t) is zero.

dC/dt = 1.35e^(-2.802t) -(1.35t)2.802e^(-2.802t) = 0

Solving for t gives ...

t = 1/2.802

So, the maximum C(t) is ...

C(1/2.802) = 1.35/2.802e^(-1) ≈ 0.177 . . . . . mg/mL

The maximum average BAC during the first 6 hours is about 0.177 mg/mL.

_____

The maximum occurs about 21 minutes 25 seconds after consumption.

8 0

2 years ago

Triangle ABC and DEF are congruent. Find x.

miv72 [106K]

Δ ABC ≡ ΔDEF

⇒ ∠DEF = ∠ABC

Solve x:

x - 8 = 65

x = 73

Answer: x = 73°

4 0

2 years ago

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What is 52 rounded to the nearest hundred?

irakobra [83]

Is 52 closer to 0 or 100? (since it rounds to the nearest hundreds)

Since 52 is over the halfway point, which is 50, that means its closer to 100

Answer: 100

8 0

3 years ago

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