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2 years ago

The driver of a car travelling downhill on a road applies the brakes. The speed s

Mathematics

1 answer:

Pepsi [2]2 years ago

3 0

The maximum speed reached is 89 km/h after 1.5 seconds.

<h3>Speed</h3>

Given the speed s of the car in km/h, t seconds after the brakes were applied.

s(t) = -4t² + 12t + 80

a) The brakes were applied at t = 0, hence:

s(0) = -4(0)² + 12(0) + 80 = 80 km/h

b) At s = 88:

88 = -4t² + 12t + 80

t = 2 seconds and t = 1 second

c) The maximum speed is at s'(t) = 0

s'(t) = -8 t + 12 = 0

8t = 12

t = 1.5 seconds

s(1.5) = -4(1.5)² + 12(1.5) + 80 = 89 km/h

The maximum speed reached is 89 km/h after 1.5 seconds.

Find out more on speed at: brainly.com/question/4931057

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sunil took an education loan for his MBA today. he borrowed 40 lakh from the bank at a rate of interest of 30% per annum. The in

tamaranim1 [39]

Answer:

The amount which Sunil own to the bank after two years is Rs 67 lakh and sixty thousand

Step-by-step explanation:

Given as :

The amount borrowed by Sunil for education loan = Rs 40 lakh

The rate of interest applied compounded annually = 30%

The time period of loan is 2 years

$Amount = Principal \times (1 + \frac{Rate}{100})^{Time}$

Or, $Amount = 4000000 \times (1 + \frac{30}{100})^{2}$

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Hence The amount which Sunil own to the bank after two years is Rs 67 lakh and sixty thousand Answer

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2 years ago

The game of American roulette involves spinning a wheel with 38 slots: 18 red, 18 black, and 2 green. A ball is spun onto the wh

solong [7]

Answer:

a) $- \frac{1}{19}$

b) SD(x) = 0.9986

Step-by-step explanation:

Given data:

Number of slots 38

slots for red ball 18

slots for black = 18

slots for green 2

outcomes Red Black or Green

Profit 1 -1

P(X) 18/38 20/38

Expected value of wining,

$E(x) = 1. \frac{18}{38} + (-1) \frac{20}{38} = - \frac{2}{38} = - \frac{1}{19}$

B) Standard deviation of winning SD(x)

$SD(x) = \sqrt{(1- (-\frac{1}{19})^2 .\frac{18}{38} + (1- (-\frac{1}{19})^2 .\frac{20}{38}}$

$SD(x) = \sqrt{\frac{360}{361}$

SD(x) = 0.9986

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2 years ago

Distance from sun in au from mercury pls thanks

mestny [16]

<span>0.39 AU, 36 million miles 57.9 million km

Hope this helps Have good day (:</span>

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2 years ago

Solve for x.<br> x^2 + 6 = 10

Ostrovityanka [42]

Steps To Solve:

x² + 6 = 10

~Subtract 6 to both sides

x² + 6 - 6 = 10 - 6

~Simplify

x² = 4

~Take square root of 4

x² = ±√4

~Simplify

x = -2 or x = 2

Best of Luck!

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3 years ago

Find the common ratio for the following geometric sequence. <br><br> 2, 1, 0.5, 0.25, . . .

Oliga [24]

The common ratio is 2:1, or dividing by 2

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3 years ago

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