To find the common factors between two numbers, you must first break the numbers down into factors, and then find all common factors.
Let's break down 88.
88: 2 x 44, 4 x 22, 8 x 11.
Now let's break down 24.
24: 2 x 12, 3 x 8, 4 x 6.
Now that we've factored both numbers, let's select all the common factors.
Common factors:
1, 2, 4, 8.
I hope this helps!
Answer:
1. 2,3; -2, 3
2. Both points share common values, but their absolute values for the x-value vary.
3. 2,3; 2, -3
4. Both points share common values, but their absolute values for the y-value vary.
Step-by-step explanation:
For 1, the answer is thus:
-On the graph, the original point is 2, 3.
-A reflection over the y-axis changes the x-value, so it would be -2,3.
Similar for the next chart:
-The initial point is 2,3.
-A reflection over the x-axis changes the y-value, so the reflected point would be 2, -3.
The explanation is:
Both points have similar values except with differences in the absolute value.
Hope this helps you.
I think Point A and B are 2 inches apart or all of them is right
Log(2)/log(1.064) ≈ 11.17 . . . . hours
_____
The population can be given by
p(n) = p₀×1.064ⁿ . . . . where n is the number of hours
You want to find n whe p(n) = 2*p₀.
2p₀ = p₀×1.064ⁿ . . . . . . . . . . . . substitute the given information
2 = 1.064ⁿ . . . . . . . . . . . . . . . . . divide by p₀
log(2) = n×log(1.064) . . . . . . . . take logs to make it a linear equation
log(2)/log(1.064) = n . . . . . . . . divide by the coefficient of n
Probability =
(number or amount of possible successes)(total number or amount of possible outcomes)
Area of any circle is (pi) x (radius squared)
Area of the whole board = (pi) x (13 squared) = 169 pi square inches
Area of the shaded region = (pi) x (5 squared) = 25 pi square inches
Probability = (success area) / (total possible area) = 25pi/169pi = <u>0.15 </u>(rounded)
Notice that if you do it my way ... keep 'pi' in the fraction ... you don't even
need to know what the value of 'pi' is, because there's one in the top and
bottom of the fraction, and they cancel.
