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3 years ago

CAN SOMEONELEASE PLEASE PLEASE ANSWER ALL THESE QUESTIONS THIS IS DUE BY MIDNIGHT

Mathematics

2 answers:

Romashka [77]3 years ago

6 0

Where are the questions?

garik1379 [7]3 years ago

6 0

I would love to try and help you out but theres nothing attached, try asking the question again with the picture or text attached!!

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A car is being driven at a rate of 40 ft/sec when the brakes are applied. The car decelerates at a constant rate of 10 ft/sec2.

IRISSAK [1]

Answer:

80 feet

Step-by-step explanation:

Given:

Initial speed of the car ( $v_0$ ) = 40 ft/sec

Deceleration of the car ( $\frac{dv}{dt}$ ) = -10 ft/sec²

Final speed of the car ( $v_x$ ) = 0 ft/sec

Let the distance traveled by the car be 'x' at any time 't'. Let 'v' be the velocity at any time 't'.

Now, deceleration means rate of decrease of velocity.

So, $\frac{dv}{dt}=-10\ ft/sec^2$

Negative sign means the velocity is decreasing with time.

Now, $\frac{dv}{dt}=\frac{dv}{dx}(\frac{dx}{dt})$ using chain rule of differentiation. Therefore,

$\frac{dv}{dx}\cdot\frac{dx}{dt}= -10\\\\But\ \frac{dx}{dt}=v.\ So,\\\\v\frac{dv}{dx}=-10\\\\vdv=-10dx$

Integrating both sides under the limit 40 to 0 for 'v' and 0 to 'x' for 'x'. This gives,

$\int\limits^0_{40} {v} \, dv=\int\limits^x_0 {-10} \, dx\\\\\left [ \frac{v^2}{2} \right ]_{40}^{0}=-10x\\\\-10x=\frac{0}{2}-\frac{1600}{2}\\\\10x=800\\\\x=\frac{800}{10}=80\ ft$

Therefore, the car travels a distance of 80 feet before stopping.

4 0

3 years ago

Graph the function g(x) = 1/3 - 4/3x

True [87]

Solutions

g(x) = $\frac{1}{3}$ - $\frac{4}{3}$ x

 g(x) = - $\frac{4}{3}$ x + $\frac{1}{3}$

x = -5

= g(x) = - $\frac{4}{3}$ × (-5) + $\frac{1}{3}$

= $\frac{20}{3}$ + $\frac{1}{3}$

= $\frac{21}{3}$

= 7

(-5,7)

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x = 7

 = g(x) = - $\frac{4}{3}$ × (7) + $\frac{1}{3}$

= $\frac{-28}{3}$ + $\frac{1}{3}$

= $\frac{-27}{3}$ = -9

(-7,9)

x = (-7,9) y = (-5,7)

6 0

3 years ago

Round 223 to the nearest ten

Aleks [24]

I believe the answer is 220?

5 0

3 years ago

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Yelena is able to run 8 miles.She trains so that each week she is able to run 2 more miles than she could the week before. How m

ankoles [38]

Answer:30

Step-by-step explanation:

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3 years ago

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A submarine is descending to examine the seafloor 2,100 feet below the surface. It takes the submarine 2 hours to make this desc

Snezhnost [94]

Answer:the sub goes down 32.81ft per min

Step-by-step explanation:

2100

2hours

1050ft

1hour

525ft

30min

262.5ft

15min

262.5 ft

7.5min

131.25

4min

65.625ft

2min

32.81ft

1mins

5 0

3 years ago