Answer:
229.7
Step-by-step explanation:
8 * 1/2 * 5.8 * 7 * sqrt(2.)
The equation for exponential decay is given as y = a(1 - r)^x.
<u>Explanation:</u>
The formula for original exponential decay is y = ab^x.
The growth rate (r) is determined as b = 1 + r.
The decay rate (r) is determined as b = 1 - r.
y = ab^x (Where b = 1 - r)
y = a(1-r)^x
a represents the initial value
r represents growth or decay rate
x represents the number of time intervals that have passed.
<em>For example</em>
The population of Home Town is 2016 was estimated to be 35,000 people with an annual rate of increase of 2.4%.
The equation for decay factor y = 35000(1 - 0.024)^x
y = 35000(0.976). (where x = 1)
Answer:
x = 5.4
Step-by-step explanation:
(This question has already been answered, but both of the incorrect ones were deleted, so for future reference...)
Fig A is a scale image of Fig D. These two quadrilaterals are similar, and thus, the side lengths of corresponding sides are proportional. Set the proportion x/3 = 7.2/4 (you could alternatively write it as x/7.2 = 3/4 but for the simplicity's sake, and assuming anyone who has this problem would already know how to solve proportions like these...)
7.2/4 = 1.8
so
x/3 = 1.8
now multiply both sides by 3 to get x = 5.4
Each interior angle of a regular hexagon is 120°.
.. 4x +24° = 120°
.. 4x = 96° . . . . . . . subtract 24°
.. x = 24° . . . . . . . . divide by 4
Step-by-step explanation:
Reduce 24/96 to lowest terms
Find the GCD (or HCF) of numerator and denominator. GCD of 24 and 96 is 24.
24 ÷ 2496 ÷ 24.
Reduced fraction: 14. Therefore, 24/96 simplified to lowest terms is 1/4.
