Answer:
(x – 3)^2+ (y +2)^2 = 36
Step-by-step explanation:
Given data
The formula for the equation of a circle is (x – h)2+ (y – k)2 = r^2,
where (h, k) represents the coordinates of the center of the circle
h=3
k=-2
r= 6
Substitute
(x – 3)^2+ (y – (-2))^2 = 6^2
(x – 3)^2+ (y +2)^2 = 36
Hence the expression for the equation of the circle is
(x – 3)^2+ (y +2)^2 = 36
Answer:
Step-by-step explanation:
So the initial value of the business computer is $20,000. It depreciates by 15% per year. This is exponential decay. The standard function for exponential decay is:
Where <em>P </em>is the initial value, <em>r</em> is the rate of decay, and <em>t</em> is the time in years.
Since the computer decreases by 15% per year, this means that each year, the computer will be 1-15% or 85% than its previous value.
Therefore, the equation that models the value of the computer is:
Answer:
(a) 1.5 inches
(b) 2.5 inches
(c) 5 inches
Step-by-step explanation:
speed of first turtle = 4 1/2 inches per minute = 9/2 inches per minute
speed of the second turtle = 5inches per minute
distance = speed x time
(a) Distance traveled by first turtle in 3 minutes
s = 9/2 x 3 = 13.5 inches
distance traveled by second turtle in 3 minutes
s' = 5 x 3 = 15 inches
So, the gap is
s'- s = 15 - 13.5 = 1.5 inches
(b) Distance traveled by first turtle in 5 minutes
s = 9/2 x 5 = 22.5 inches
distance traveled by second turtle in 5 minutes
s' = 5 x 5 = 25 inches
So, the gap is
s'- s = 25 - 22.5 = 2.5 inches
(c) Distance traveled by first turtle in 10 minutes
s = 9/2 x 10 = 45 inches
distance traveled by second turtle in 10 minutes
s' = 5 x 10 = 50 inches
So, the gap is
s'- s = 50 - 45 = 5 inches
The correct answer is "all real numbers greater than or equal to 2".
(-3/8)(+8/15)
Answer will be a negative number. Whenever multiplying a - negative number * a + positive = - negative number.
(-3/8)(+8/15)
Cross out -3 and 15 . Divide by 3. -3/3,=-1 15/3
= -1/5
Cross out 8 and 8. Divide by 8.
8/8= 1 , 8/8= 1
-1/5*1/1= -1/5
Answer : -1/5