Answer:
![y=\frac{160}{x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B160%7D%7Bx%7D)
Step-by-step explanation:
The table shows how the time it takes a train to travel between two cities depends on its average speed.
function models the time, y, in hours, that it takes the train to travel between the two cities at an average speed of x miles per hour
y represents the time
and x represents the average speed
WE know distance = speed * times
LEts find the distance using the table
distance = 32* 5= 160
40*4= 160
50*3.2 = 160
Time = distance / speed
times is y , distance is 160 and speed is x
![y=\frac{160}{x}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B160%7D%7Bx%7D)
Answer: If this isn't a trick question it is $68.60
Step-by-step explanation: You just multiply the 98 cents by the 70 songs.
Answer:
Exponents
Step-by-step explanation:
exponents are basic short cut to write numbers like 100, 1000, 10000, 1000000 and so on.
Exponents can also be defined as 10 raised to a power x whether positive or negative
![10 {}^{x}](https://tex.z-dn.net/?f=10%20%7B%7D%5E%7Bx%7D%20)
They are mostly used in expressing units in standard form.
<h3>examples of basic positive exponents</h3>
![{10}^{2} = 100](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B2%7D%20%20%3D%20100)
![10 {}^{3} = 1000](https://tex.z-dn.net/?f=10%20%7B%7D%5E%7B3%7D%20%20%3D%201000)
![{10}^{4} = 10000](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B4%7D%20%20%20%3D%2010000)
![{10}^{5} = 100000](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B5%7D%20%20%3D%20100000)
basically the power represent the the number of zeroes after the 1.
<h3>examples of basic negative exponents</h3>
![{10}^{ - 2} = 0.01](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B%20-%202%7D%20%20%3D%200.01)
![{10}^{ - 3} = 0.001](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B%20-%203%7D%20%20%3D%200.001)
![{10}^{ - 4} = 0.0001](https://tex.z-dn.net/?f=%20%7B10%7D%5E%7B%20-%204%7D%20%20%3D%200.0001)
![10 ^{ - 5} = 0.00001](https://tex.z-dn.net/?f=10%20%5E%7B%20-%205%7D%20%20%3D%200.00001)
in negative exponents the power represents the number of zeroes before the 1. including the 0 behind the decimal point.
this is the basic lay down of how exponent work but one more quick example for maximum understanding
<h3>quick example</h3>
![4 \times {10}^{4} = 0.0004](https://tex.z-dn.net/?f=4%20%5Ctimes%20%20%7B10%7D%5E%7B4%7D%20%20%3D%200.0004)
![4 \times {10}^{4} = 40000](https://tex.z-dn.net/?f=4%20%5Ctimes%20%20%7B10%7D%5E%7B4%7D%20%20%3D%2040000)
![8.69 \times 10 {}^{ - 3} = 0.00869](https://tex.z-dn.net/?f=8.69%20%5Ctimes%2010%20%7B%7D%5E%7B%20-%203%7D%20%20%3D%200.00869)
![8.69 \times 10 {}^{ 3} = 8690](https://tex.z-dn.net/?f=8.69%20%5Ctimes%2010%20%7B%7D%5E%7B%20%203%7D%20%20%3D%208690)
hope you grasp the concept involved in multiplication with other terms.
cheers
A. Is the answer of this question
The base length of the triangle is 10 ft. and the height of the triangle is 20ft.
Step-by-step explanation:
Height = base + 10
Area = 100 square ft
Area of a triangle= (1/2) (b) (h)
100 = (1/2) (b) (b + 10)
200 = b(b) + 10b
b(b) + 10b - 200 = 0
b(b) + 20b - 10b - 200 = 0
b ( b + 20) -10(b + 20) = 0
(b-10) (b+20) =0
b = 10 (or) b = -20
Here b is the length and cannot be negative.
So, b = 10ft
h = b + 10
h = 10 + 10
h = 20 ft.
The base length of the triangle is 10 ft. and the height of the triangle is 20ft.