You got to shade five squares
Answer:
x = log(1+√2) ≈ 0.38277569
Step-by-step explanation:
Let z = 10^x. Then the equation can be rewritten ...
z^2 -2z -1 = 0
z^2 -2z +1 -2 = 0 . . . . rewrite to a form with a square
(z -1)^2 = 2 . . . . . . . . . add 2
z -1 = ±√2 . . . . . . . . . . square root
z = 1 ± √2 . . . . . . . . . . add 1
From the definition of z, we know it must be positive, so the only viable solution here is ...
z = 10^x = 1+√2
x = log(1+√2)
x ≈ 0.38277569
The simplified product has a degree of 2.
The simplified product, in standard form has exactly 2 negative terms.
To find a percentage of a number, you just need to multiply the percentage by that number.
Percentages must be converted into decimal form before any work can take place. We can do that by either dividing the percentage by 100, or (my personal shortcut) by just shifting the decimal point to the left two places.
276% = 2.76
Then, we just need to multiply.
2.76 * 8 = 22.08
Since the question requires the answer in fraction form, we need to convert 22.08 to a mixed number. This mixed number would be 22 2/25
276% of 8 in fraction form is 22 and 2/25.
Hope this helped =)
This problem can be solved using proprtions. Once you set up the proportion, the calculations are easy.
Let x = number of pens made in 1 second.
Now, you just cross multiply and solve.
9 = 3x
x = 3
The rate is 3 pens per second.
