The circumference or perimeter of the circle has the formula 2*pi*r, where r is the radius of the circle. This could then be easily calculated:
C = 2*pi*r
53.38 = 2*3.14*r
53.38 = 6.28r
r = 53.38/6.28
r = 8.5 ft
Thus, the radius of the circle has a length of 8.5 feet.
Check the picture below
so.. .hmmm the vertex is at the origin... and we know the parabola passes through those two points... let's use either.. say hmmm 100,-50, to get the coefficient "a"
keep in mind that, the parabolic dome is vertical, thus we use the y = a(x-h)²+k version for parabolas, which is a vertical parabola
as opposed to x = (y-k)²+h, anyway, let's find "a"

now.. .your choices, show.... a constant on the end.... a constant at the end, is just a vertical shift from the parent equation, the equation we've got above.. is just the parent equation, since we used the origin as the vertex, it has a vertical shift of 0, and thus no constant, but is basically, the same parabola, the one in the choices is just a shifted version, is all.
Answer:
24.19
Step-by-step explanation:

or the value of x can be 24.20
Answer:
Step-by-step explanation:
Correct
w > 10
w > 10
Incorrect
w < 10
w < 10
Incorrect
w > 11
w > 11
Incorrect
w < 11
w < 11
Correct
w < 15
w < 15Correct
w > 10
w > 10
Incorrect
w < 10
w < 10
Incorrect
w > 11
w > 11
Incorrect
w < 11
w < 11
Correct
w < 15
w < 15Correct
w > 10
w > 10
Incorrect
w < 10
w < 10
Incorrect
w > 11
w > 11
Incorrect
w < 11
w < 11
Correct
w < 15
w < 15Correct
w > 10
w > 10
Incorrect
w < 10
w < 10
Incorrect
w > 11
w > 11
Incorrect
w < 11
w < 11
Correct
w < 15
w < 15Correct
w > 10
w > 10
Incorrect
w < 10
w < 10
Incorrect
w > 11
w > 11
Incorrect
w < 11
w < 11
Correct
w < 15
w < 15Correct
w > 10
w > 10
Incorrect
w < 10
w < 10
Incorrect
w > 11
w > 11
Answer: B and D
Step-by-step explanation:
First, solve the terms inside of the parenthesis. As a general rule, whenever you multiply two terms that have the same base, you can add their exponents.
Applying this rule, the base in the problem is 6, and the exponents are 3 and -4. The sum of 3 and -4 leaves -1. Therefore, this is one of our solutions:

When you have an exponential term raised to another exponent, you can simply multiply the exponents. In the previous solution given above, multiply -1 and -3 to get 3. Therefore our second solution is:
