<em>Factors and multiples are related by multiplication.</em>
<h2>
Explanation:</h2>
When you multiply numbers together to find a number, say, n, then those numbers are called factors of n. For instance:

On the other hand, a multiple, say, n, results when multiplying a number by an integer. For instance:

So
is multiple of 
<em></em>
<em>As you can see, both factors and multiples implies a multiplication. So factors and multiples are related by multiplication.</em>
<h2>Learn more:</h2>
Product of linear factors: brainly.com/question/13882113
#LearnWithBrainly
Answer:
is the size of the square
Step-by-step explanation:
Let the side of the square cut from the cardboard be “x”
Size of the square base =
, height of the box = x
Volume of square box = Area * height =
Differentiating the above equation and equating it to zero, we get –
d/dx
d/dx
= d/dx
d/dx
On solving above equation, we get –
Answer:
Arlo's weight = 52.3 kg
Explanation:
Let Arlo be "x"
Then,
Arlo = x
Bert = x+20 (Because Bert is 20 heavier than Arlo)
Cassie = x+20-5 (Because Cassie is 5 lighter than Bert)
Donnie =
(Because Donnie is half of Bert's weight)
Average = 57
Step by step Calculations:
57 =
(The whole divided by 4 because the total people is 4)
57*4 = x + x + 20 + x + 20 - 5 + 
228 = 3x + 35 + 
228 - 3x - 35 = 
193 -3x = 
2(193 - 3x) = x + 20
386 - 6x = x + 20
386 - 20 = x + 6x
366 = 7x
x = 
x = 52.3 kg (corrected to 3 significant figures)
Therefore Arlo's weight is 52.3 kg
Answer:
B) -3.464
Step-by-step explanation:
∫₀³ g'(x) cos²(2g(x) + 1) dx
Using u substitution:
u = 2g(x) + 1
du = 2g'(x) dx
½ du = g'(x) dx
When x = 0, u = 11.
When x = 3, u = -3.
½ ∫₁₁⁻³ cos²(u) du
You can use a calculator to solve this, or you can evaluate algebraically.
Use power reduction formula:
½ ∫ (½ + ½ cos(2u)) du
¼ ∫ du + ¼ ∫ cos(2u) du
¼ ∫ du + ⅛ ∫ 2 cos(2u) du
¼ u + ⅛ sin(2u) + C
Evaluating from u = 11 to u = -3:
[¼ (-3) + ⅛ sin(-6) + C] − [¼ (11) + ⅛ sin(22) + C]
-⁷/₂ + ⅛ sin(-6) − ⅛ sin(22)
−3.464