Answer:
![y = 18 \times {7}^{x}](https://tex.z-dn.net/?f=y%20%3D%2018%20%5Ctimes%20%20%7B7%7D%5E%7Bx%7D%20)
Step-by-step explanation:
Using the formula for exponential function,
![y = ab {}^{x}](https://tex.z-dn.net/?f=y%20%3D%20ab%20%7B%7D%5E%7Bx%7D%20)
Let plug in 0,18.
![18 = ab {}^{0}](https://tex.z-dn.net/?f=18%20%3D%20ab%20%7B%7D%5E%7B0%7D%20)
Using the zero power rule,
![b {}^{0} = 1](https://tex.z-dn.net/?f=b%20%7B%7D%5E%7B0%7D%20%20%3D%201)
![18 = a \times 1](https://tex.z-dn.net/?f=18%20%3D%20a%20%5Ctimes%201)
![a = 18](https://tex.z-dn.net/?f=a%20%3D%2018)
Since a equal 18 let plug in what we know so far
![y = {18b}^{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%7B18b%7D%5E%7Bx%7D%20)
Now let find b.
Let use the other point, 3,6174
![6174 = {18b}^{3}](https://tex.z-dn.net/?f=6174%20%3D%20%20%7B18b%7D%5E%7B3%7D%20)
Divide 18 by both sides and we get
![343 = b {}^{3}](https://tex.z-dn.net/?f=343%20%3D%20b%20%7B%7D%5E%7B3%7D%20)
Take the 3rd root of 343
![\sqrt[3]{343} = b = 7](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B343%7D%20%20%3D%20b%20%3D%207)
b=7
The equation is
![y = 18 \times 7 {}^{x}](https://tex.z-dn.net/?f=y%20%3D%2018%20%5Ctimes%207%20%7B%7D%5E%7Bx%7D%20)
Answer:
67.2
Step-by-step explanation:
64 - 21 = 43
43/64 × 100 = 67.188
Answer:201 in squared
Step-by-step explanation:
a right circular cone has
a diameter d=8+in ...........r=4+in
a height of h=12+in
the volume
the vomue 1/3 times pie times r squared times height
the vlolume 1/3 times pie times 4 in squared times 12in
the vlolume 1/3 times pie times 16 in squared times 12 in
the vlolume 192 times pie inches squared over 3
the vlolume 200.96 in squared
whcih should equal 201 inches squared.
Answer: The slope of line m is -3/2
Step-by-step explanation: The slope of the perpendicular line will have a opposite reciprocal slope. That means you flip it and then change the sign.
9514 1404 393
Answer:
15
Step-by-step explanation:
In vector form, the equation of point p on the line can be written as ...
p = (-3, -4) +t(25 -(-3), 38 -(-4)) . . . . . for some scalar t
p = (-3, -4) +t(28, 42)
p = (-3, -4) +14t(2, 3)
where t takes on any value between 0 and 1.
If we let t = n/14 for some integer 0 ≤ n ≤ 14, then the coordinates of point p will be integers.
There are 15 values that n can have in the allowed range.
The caterpillar touches 15 points with integer coordinates.