The circumference = 2×pi×radius
the small = 2×3.14×4 = 25.12 inches
the medium = 2×3.14×5 = 31.4 inches
the large = 2×3.14×6 = 37.68 inches
Answer:
There could be many answers to this problem, one being the √(24 x 5 - 8)
Step-by-step explanation:
Irrational numbers are classified as real numbers that are non-terminating and non-repeating decimals. This means that the number will be a decimal that never ends and does not contain a pattern of any kind. For example, a decimal that never ends is usually written as: 5.6789234... This type of number is irrational because the decimal keeps going and shows no pattern of repetition. In the answer given, the value of (24 x 5 -8) is 112. The square root of 112 is not a perfect square and thus you will get a non-terminating and non-repeated decimal as the final answer, thus making it irrational.
Function 1:
f(x) = -x² + 8(x-15)f(x) = -x² <span>+ 8x - 120
Function 2:
</span>f(x) = -x² + 4x+1
Taking derivative will find the highest point of the parabola, since the slope of the parabola at its maximum is 0, and the derivative will allow us to find that.
Function 1 derivative: -2x + 8 ⇒ -2x + 8 = 0 ⇒ - 2x = -8 ⇒ x = -8/-2 = 4
Function 2 derivative: -2x+4 ⇒ -2x + 4 = 0 ⇒ -2x = -4 ⇒ x = -4/-2 ⇒ x= 2
Function 1: f(x) = -x² <span>+ 8x - 120 ; x = 4
f(4) = -4</span>² + 8(4) - 120 = 16 + 32 - 120 = -72
<span>
Function 2: </span>f(x) = -x²<span> + 4x+1 ; x = 2
</span>f(2) = -2² + 4(2) + 1 = 4 + 8 + 1 = 13
Function 2 has the larger maximum.
Answer:
8 hours
Step-by-step explanation:
1 - 50 miles
2 - 100 miles
3 - 150 miles
4 - 200 miles
5 - 250 miles
6 - 300 miles
7 - 350 miles
8 - 400 miles
and so on hope this helps
Joe is positive 986 yards
Ziggy is negative 118 yards
the total difference is 986 +118 = 1,104 yards
