1which relation is a real function ? A. {(-5,1),(4,9),(6,10)}
B.{(5,5),(5,9),(5,15)}
C.{(2,10),(6,10),(-2,3)}
D.{(0,3),(0,9),(12,-4)}

Answer:

B. x = -1, x = -3, y = 0

Step-by-step explanation:

The volume ofthe rectangular prism is: 1.39 ft³

The volume ofone of the small cubes is: 0.0046 ft³

What is the Volume of a Rectangular Prism?

Volume of rectangular prism = length × width × height

Given the following:

Length = 1 ft

Width = 5/6 ft

Height = 1⅔ ft

Volume of the rectangular prism = 1 × 5/6 × 1⅔ = 1 × 5/6 × 5/3

Volume of the rectangular prism = 25/18 = 1 7/18 ft = 1.39 ft³

Length of the edge of 1 cube = 1/6 ft

Volume of the 1 cube = (1/6)³ = 1/216 = 0.0046 ft³

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Answer:

1. 1.3778  2. 0.0089

Step-by-step explanation:

to find the volume of the whole rectangle prism you would have to do the volume formula since it is a 3d shape. VOLUME FORMULA, LxWxH.

so 1x0.83x1.66= 1.3778

you can always convert the fraction into decimal to help you calculate the problem.

i don't know if this is correct but i give it a try, so if the whole volume of the triangle is 1.3378 than you can divide that by the the number of small cubes it has inside.

it is 5 by 10 so there are 150 cubes in total.

1.3378 divided by 150=0.0089

im confident about the 1st but not so much with the second

Answer:

Initial Fee is $2.

Step-by-step explanation:

Given:

Stops  Price (dollars)

3         6.50

7         12.50

11         18.50

Also Given:

The price of a train ticket consists of an initial fee plus a constant fee per stop.

So let the Cost of initial fee be 'x'.

Also Let the Cost of Constant fee be 'y'.

Now Equation can framed as;

Now According to table;

Number of stops = 3

Price = 6.50

So equation can be framed as;

Also According to table;

Number of stops = 7

Price = 12.50

So equation can be framed as;

Now Subtracting equation 1 from equation 2 we get;

Substituting the value of y in equation 1 we get;

Hence Initial Fee is $2.

Final answer:

The initial fee of a train ticket, given a constant fee per stop, can be calculated by finding the constant fee per stop and subtracting the total of this fee for a given number of stops from the total price for those stops. By this calculation, the initial fee is $2.50.

Explanation:

To determine the initial fee that is related to the price of a train ticket, which consists of an initial fee plus a constant fee per stop, we should first calculate the cost per stop. We can do this by subtracting the price of a ticket for 3 stops from the price of a ticket for 7 stops. So, we get $12.50 - $6.50 = $6.00. We find the difference in the number of stops, which is 7 - 3 = 4 stops. Divide the total price difference by the difference in the number of stops to get the constant fee per each stop: $6.00 / 4 stops = $1.50 per stop. Now we know the constant fee for each stop, so we subtract that from the total price for 3 stops to find the initial fee: $6.50 - ($1.50 * 3) = $2.50. So, the initial fee is $2.50.

To find the initial fee, we need to determine the additional cost per stop. We can do this by using the formula y = mx + b, where y represents the price of the ticket, x represents the number of stops, m represents the constant fee per stop, and b represents the initial fee.

Using the given data, we can set up two equations using the points (3, 6.50) and (7, 12.50).

By subtracting these two equations, we can determine the value of b, which represents the initial fee. Thus, the initial fee is $3.

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