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erastova [34]
2 years ago
6

Stacy bought gas for her car . Gas cost$143.54 per liter. Stacy bought 12.4 liters. What was the total cost for Stacy gas expres

s the answer as dollars and cents
Mathematics
1 answer:
UNO [17]2 years ago
8 0

Answer:

$1779.896

Step-by-step explanation:

From the above question

1 liter = $143.54

12.4 liters = $x

Cross Multiple

1 liter × $x = 12.4 liters × $143.54

$x = 12.4 liters × $143.54/1 liter

$x = $1779.896

Therefore, the total cost for Stacy gas in dollars and cents is $1779.896

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Question 4 (1 point)
Nostrana [21]

Answer:

The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Step-by-step explanation:

Height of a mountain, h = 90 feet

Upward velocity of a ball, u = 64 ft/s

Its height as a function of time can be written by using the second equation of motion as follows :

f(x) = -16t^2 + 64t + 960 .....(1)

When it will hit the ground, f(x) = 0

-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0

It is quadratic equation.

t = -6 s and t = 10 s

Neglecting -6 seconds, the ball will hit the ground at 10 seconds.

For maximum height,

Put f'(x) = 0

-32t+64=0\\\\\\t=\dfrac{64}{32}\\\\t=2\ s

Put t = 2 in equation (1)

f(2) = -16(2)^2 + 64(2) + 960\\\\=1024\ \text{feet}

Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

5 0
2 years ago
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