Answer: 0.12
x is the number which is chosen
The number of ways to choose x from 1 to 100 is 100 (ways)
because x is divisible by 8 => x ∈ {8; 16;...; 96}
=> the number of terms divisible by 8 from 1 to 100 is (96 - 8)/8 + 1 = 12
the number of ways to choose x which is divisible by 8 is 12 (ways)
=> the probability that x is divisible by 8 is 12/100 = 0.12
Step-by-step explanation:
The area of the square increasing at 30 
The rate of change function is defined as the rate at which one quantity is changing with respect to another quantity. In simple terms, in the rate of change, the amount of change in one item is divided by the corresponding amount of change in another
Let the side of a square be x.
So,
Area of square = 
A =
Differentiating with respect to time we get,
dA/dt = 2x dx/dt
When area = 9
the side becomes 3 cm
At x = 3cm and dx/dt = 5 cm/s (Given)
dA/dt = 2.3.5 = 30 
Thus the area of the square increasing at 30 
Learn more about rate of change here :
brainly.com/question/12786410
#SPJ4
<span>Are the lines in the diagram perpendicular, parallel, skew, or none of these?
l and m: neither
l and m intersect, but are not perpendicular.
l and n: skew
l and n are not parallel, but they do not intersect because they are not on the same plane.
m and n: perpendicular.
m and n intersect at a right angle</span>
Answer:
113.04 sq. in.
Step-by-step explanation:
If the diameter of the circle is 12", then the radius is 6" (half the diameter), and the area "A" is (approximately) 3.14 * 6^2. The calculation is approximate because 3.14 is a rounded value for pi.
Answer:
See below
Step-by-step explanation:
<u>Given functions</u>
As we see g(x) = f(x + 5) + 1, which means <u>horizontal translation 5 units left</u> and <u>vertical translation 1 unit up</u>.
Answer options are all incorrect