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sweet [91]
3 years ago
8

A submarine begin the day to 240 m below sea level. It descended 40 m/h for three hours and then ascended 30 m/hrs. for five hou

rs what was the position of the submarine after the 8 hour time period . Measured in meters
Mathematics
2 answers:
kari74 [83]3 years ago
3 0
Descended total: -40×3=-120 meters
Ascended total: 30×5=150 meters

-240-120+150=-210 meters. As a result, the position of the submarine after 8 hours are 210 feet below the sea. Hope it help!
Viktor [21]3 years ago
3 0
The submarine began 240 m below sea level.
If it descended 40 m every hour for three hours, we can calculate that the sub will be at 360 m below sea level. 
From here, the sub will rise 30 m every hour for five hours. By hour five, the sub would have already arisen 150 meters.
After these 8 hours, the sub should be 210 meters below sea level.
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Answer:

The equation has two solutions for x:

<u>x₁ = (8 + 10i)/2</u>

<u>x₂ = (8 - 10i)/2</u>

Step-by-step explanation:

Let's use the quadratic formula for solving for x in the equation:

X^2 - 8X + 41= 0

x² - 8x + 41 = 0

Let's recall that the quadratic formula is:

x = -b +/- (√b² - 4ac)/2a

Replacing with the real values, we have:

x = 8 +/-  (√-8² - 4 * 1 * 41)/2 * 1

x = 8 +/-  (√64 - 164)/2

x = 8 +/-  (√-100)/2

x = 8 +/-  (√-1 *100)/2

Let's recall that √-1 = i

x = 8 +/- 10i/2

<u>x₁ = (8 + 10i)/2</u>

<u>x₂ = (8 - 10i)/2</u>

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3 years ago
Sarah earns $3.25 an hour stuffing envelopes. Write a rule to describe how the amount of money, m, earned is a function of the n
DENIUS [597]
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malfutka [58]

Answer:

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Step-by-step explanation:

Using binomial probability formula, we have :

P( a out of n ) =ⁿCₐ x pᵃ x qⁿ⁻ᵃ  ------------------------------------------------- (1)

Where n = total number of sample

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            p = probability of success

            q = probability of failure

            n-a = number of failures

From the question:

n =10 , a = 7, p=0.54, q = 1-p = 0.46

Substituting into equation (1) we have:

P (7 out of 10) =  ¹⁰C₇ x (0.54)⁷x (0.46)¹⁰⁻⁷

                      = 0.1563

                     ≈ 0.156

                   

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