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lesya [120]
2 years ago
15

The distance traveled by a falling object, d(t),seconds is described by this function

Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
7 0
The Answer is B. 14.7 meters per second
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the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers
notka56 [123]

For this case we have that the relationship is direct.

Therefore, we have:

y = k * x

Where,

y: distance traveled in kilometers

x: number of liters of fuel

k: proportionality constant

We must look for the value of k. For this, we use the following data:

This car can travel 476 kilometers on 17 liters of fuel.

Substituting values we have:

476 = k * 17

From here, we clear the value of k:

k = \frac{476}{17}\\k = 28

Therefore, the relationship is:

y = 28x

For 1428 kilometers we have:

1428 = 28x

Clearing the amount of fuel we have:

x = \frac{1428}{28}\\x = 51

Answer:

51 liters of fuel are required for the vehicle to travel 1,428 kilometers

3 0
3 years ago
A baker charges $30 for each batch of cupcakes she makes. She adds $0.09 for each frosting flower. Write an expression to repres
Lisa [10]

Answer:

30+0.09x

Here, x denotes number of frosting flowers

Step-by-step explanation:

Let x denotes number of frosting flowers.

Amount charged by baker for each batch of cupcakes = $30

Amount charged for each frosting flower = $0.09

So,

Amount charged for x frosting flowers = \$0.09x

Therefore,

Total cost of a batch of cupcakes with frosting flowers = 30+0.09x

8 0
2 years ago
−4x+7y=20<br> y=3x+15<br> ​Solve the system of equations.
Dmitry_Shevchenko [17]

Answer:

(x, y)=(-5, 0)

5 0
3 years ago
What is the value of x?
Lunna [17]

Answer:

x = 23 degrees

Step-by-step explanation:

sin theta = opposite side/ hypotenuse

sin x= 9/23

Take the arcsin of each side

arcsin( sinx) = arcsin (9/23)

x = arcsin (9/23)

x=23.03568411

Rounding to the nearest degree

x = 23 degrees

4 0
3 years ago
Please Help Fast!!!!!​
Gnoma [55]
Hey I just saw this do u need Help Still or no my fault gang nobody helped you out at all
3 0
2 years ago
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