Answer:
The constant of proportionality for the group of boxes is: 25
Step-by-step explanation:
Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.
Let l be the length and v be the volume
Then according to given statement
V∝l
Removing the proportionality symbol introduces a constant in the equation
Putting V = 325 and l = 13
Hence,
The constant of proportionality for the group of boxes is: 25
Answer:
Step-by-step explanation:
This is permutation, since order matters. The formula for us is
₁₈P₅ = which simplifies to
₁₈P₅ =
The factorial of 13 cancels out on the top and bottom leaving you with
₁₈P₅ = 18 × 17 × 16 × 15 × 14
which comes to 1,028,160 ways
Another way to look at it is: the first 5 people of 18 finish and the others you don't care about. Once the first place person is first, there are only 4 of the 18 left to finish in second place. Then there are only 3 left to finish in third place, etc. So if we use that reasoning, we don't even need to use the formula, we can just say
18 * 17 * 16 * 15 * 14 and those are the first 5 people of 18 to finish.
Answer:
Step-by-step explanation:
The circumference of the circle is 6π inches
The length of the arc is (20/360)×6π = 1.04 inches
(The complete circumference would cover 360°. Angle ALB is 20°)
Answer:
AB = CD
BC = DA
Step-by-step explanation:
Since 3x+2 = 5x-2, solving for x yields 2. Since BC = 4x+1 = DA, BC and DA both equal 4(2)+1 = 9.
Answer:
4400
Step-by-step explanation:
15 percent is 660
this means 1 percent is 44
this means 100 percent is 4400
please give me brainliest!<3