Answer:
60
Step-by-step explanation:
<u>Factor each number to it’s prime factorization:</u>
5 6 12
1 · 5 2 · 3 2 · 2 · 3
<u>Multiply all the numbers:</u> 1 · 5 · 2 · 3 · 2 · 2 · 3 = 60
Hence,
LCM of 5, 6, and 12 = 60
Answer: f(x)= (3/4)^x/2 —> Decay
f(x)=(4/3)^x —> Growth
f(x)=(5/6)^3x —> Decay
f(x)=(8/3)^x/3 —> Growth
f(x)=(3/2)^2x —> Growth
Step-by-step explanation: When you graph them one by one, for example, the first equation (f(x)= (3/4)^x/2), the graph would have an asymptote on the right side, meaning that it’s decaying.
Straight up explanation: if the asymptote on the graph is on the left then it is growing, but if the asymptote is on the right then it’s decaying.
Asymptote is the “line” that almost touches the x axis.
The answer is: 204,175 .
<span>__________________________
Explanation:
__________________________
205,890 - (6+1,709) =
</span><span>205,890 - (1,715) = 204,175 .
__________________________</span>
Angles ABC and GFH are a pair of alternate exterior angles of these two parallel lines cut by a transversal. This means they are congruent (properties of two parallel lines cut by a transversal).
Set them equal to each other to find x.
10x + 20 = 12x
Subtract 10x from both sides.
20 = 2x
Divide both sides by 2.
10 = x
To find the measures of angles ABC and GFH, substitute 10 for x in their angle values accordingly and solve.
10x + 20
10(10) + 20
100 + 20
120
12x
12(10)
120
Answer:
x = 10; m∠ABC = 120; m∠GFH = 120
Well we can say 10.90/10 = the cost per pound to ship the item
we can infer this from the above text so
10.90/10 = 1.09.
So 1.09 * 37 = 40.33
$40.33
or 40 dollars and 33 cents to ship the second box with a weight of 37lb (pounds).