<span>C. 8:32
2/16 = 1/4
2:4=1:2
6 to 20 = 3:10
8:32 = 1:4
12 to 64 = 3: 16</span>
A. 1.42152403
B. Repeating
C. 76/100
<span> ∫ [ln(√t) / t] dx
let √t = u
t= u² → dx = 2u du
substitute in the integral
∫ [ln(√t) / t] dx = ∫ (ln u / u²) 2u du = ∫ (ln u / u²) 2u du = 2 ∫ (ln u / u) du
let ln u = x → d (ln u) = dx→ (1/u)du = dx
substituting again
2 ∫ (ln u / u) du = 2 ∫ x dx= 2 x²/ 2 = x² + c which,
substituting ln² u + c
as of the first
substitution ln²(√t) + c
it concludes that
∫ [ln(√t) / t] dx = ln²(√t) + c
hope it helps
</span>
Answer:
8√3
Step-by-step explanation:
Answer:
1. The missing value is 9
2. The missing value is 81
Step-by-step explanation:
1. To find the missing value of a perfect square you divide the center term (-6 as is -6x) by two to get 3 then square the three to get 9
To check this write it as the simplified form (x-3)^2 and multiply it out again using foil. x times x is x^2, -3 times x is -3x ( this happens twice adding up to the -6x), and -3 times -3 is 9 making it x^2 -6x +9
2. Follow the steps for the previous problem to get the same answer for this one. Divide 18 (middle term) by 2 making 9. Then square the 9 making 81.
