The square root of 18 is 4.2426, rounded down to the closest whole number is 4. Testing the integer values 1 through 4 for division into 18 with a 0 remainder we get these factor pairs: (1 and 18), (2 and 9), (3 and 6). The factors of 18 are 1, 2, 3, 6, 9, 18.
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x =6.5
To find the value of x, divide both sides by 2 so you will have 1x.
x = 3.25
Step-by-step explanation:
y = 3 + 8x^(³/₂), 0 ≤ x ≤ 1
dy/dx = 12√x
Arc length is:
s = ∫ ds
s = ∫₀¹ √(1 + (dy/dx)²) dx
s = ∫₀¹ √(1 + (12√x)²) dx
s = ∫₀¹ √(1 + 144x) dx
If u = 1 + 144x, then du = 144 dx.
s = 1/144 ∫ √u du
s = 1/144 (⅔ u^(³/₂))
s = 1/216 u^(³/₂)
Substitute back:
s = 1/216 (1 + 144x)^(³/₂)
Evaluate between x=0 and x=1.
s = [1/216 (1 + 144)^(³/₂)] − [1/216 (1 + 0)^(³/₂)]
s = 1/216 (145)^(³/₂) − 1/216
s = (145√145 − 1) / 216
Answer:
20
Step-by-step explanation:
Divide 4 by 1/5 in decimal form, 1/5 in decimal form is 0.20. You can get the decimal form by dividing 1 by 5.
So 4/0.20 = 20.
Answer:
Step-by-step explanation:
So we have the equation:
And we want to solve for x. In other words, we want to isolate the x-variable.
So, add 2y to both sides of the equation.
On the left, the 2y cancel. Simplify the right:
And we're done!
