Answer:
a = 5120
b = 1.25
Step-by-step explanation:
Let the exponential function representing the given table is,
f(x) = 
Here, f(x) = Number of views
x = Number of weeks
We choose two points from the given table and satisfy the equation of the function.
Let the points are (0, 5120) and (1, 6400)
For a point (0, 5120),
f(0) = a(b)⁰ = 5120
a = 5120
Now for the second point (1, 6400),
6400 = 5120(b)¹
b = 
b = 1.25
Therefore, a = 5120 and b = 1.25 are the values.
Answer:
9
Step-by-step explanation:
Let the two perfect cubes be x and y where x > y.
According to the given conditions:
![{x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B3%7D%20%20-%20%20%7By%7D%5E%7B3%7D%20%20%3D%20386...%281%29%20%5C%5C%20y%20%3D%207...%282%29%20%5C%5C%20plug%20%5C%3A%20y%20%3D%207%20%5C%3A%20in%20%5C%3A%20equation%20%5C%3A%20%281%29%20%5C%5C%20%20%7Bx%7D%5E%7B3%7D%20%20-%20%20%7B7%7D%5E%7B3%7D%20%20%3D%20386%20%5C%5C%20%7Bx%7D%5E%7B3%7D%20%20-%20%20343%20%3D%20386%20%5C%5C%20%7Bx%7D%5E%7B3%7D%20%20%20%20%20%3D%20343%20%20%2B%20%20386%20%5C%5C%20%7Bx%7D%5E%7B3%7D%20%20%20%20%20%3D%20343%20%20%2B%20%20386%20%5C%5C%20%7Bx%7D%5E%7B3%7D%20%20%20%3D%20729%20%5C%5C%20x%20%3D%20%20%5Csqrt%5B3%5D%7B729%7D%20%20%5C%5C%20x%20%3D%209)
Thus the cube root of the larger number is 9.
Answer:
it's 12 because
2×6=12
3×4=12
4×3=12
and all of them have twelve
Answer:

Step-by-step explanation:
Circumference = C = 31.4 ft
We know that,
<h3>C = 2πr</h3>
Where, r is the radius
31.4 = 2(3.14)r
31.4 = 6.28(r)
Divide 6.28 to both sides
31.4/6.28 = r
5 ft. = r
<h3>r = 5 ft.</h3>
Now,
<h3><u>Finding area:</u></h3>
A = πr²
A = (3.14)(5)²
A = (3.14)(25)
<h3>
A = 78.5 ft²</h3>
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)