Answer:
f^−1(x)=√x+36, −√x+36
Hope this helps! (and I'm sorry if it doesn't)
The answers are shorter, higher, 2cm, 15cm, 20% and 15%.
Step-by-step explanation:
Step 1; From the given data Hugo measured his plant higher than its original height. Hugo measured his plant as 12 cm while it was actually 10 cm. So Hugo's measurement was off by 2cm. Hugo's percent error is given by dividing the difference in values by the actual value.= multiplied by 100.
% error = (difference in values / actual value) × 100
Hugo's % error = (12 - 10)/ 10 × 100 = 2/10 × 100 = 20%.
Step 2; Koby measured his plant lower than his plant's original height. He measured it to be 85 cm while it was 100 cm tall. So Koby's measurement was off by 15cm. The percent error is calculated in the same way.
% error = (difference in values / actual value) × 100
Koby's % error = (100 - 85)/ 100 × 100 = 15/100 × 100 = 15%.
Step 3; Hugo had a percent error of 20% while Koby has a percent error of 15%. So Hugo had a higher percent error of the two.
Answer:
2 / 5
Step-by-step explanation:
Fractions are written in the form part/whole, in this case, the part is 18 and the whole is 45 so the fraction would be 18 / 45 which simplifies to 2 / 5.
Answer:
3
Step-by-step explanation:
Firstly, do the numbers inside the absolute value bars.
-6-(-3)
The two negatives that are together turn to a addition sign.
-6+3
You can just subtract 6 and 3 which is 3 and add the - to it.
|-3|
The -3 turns to a 3 since the absolute value bars make all numbers positive within the bars.
Hope this helped.
Answer:
10
Step-by-step explanation:
The number of tiles in the design is 1 + 2 + 3 + ...
We can model this as an arithmetic series, where the first term is 1 and the common difference is 1. The sum of the first n terms of an arithmetic series is:
S = n/2 (2a₁ + d (n − 1))
Given that a₁ = 1 and d = 1:
S = n/2 (2(1) + n − 1)
S = n/2 (n + 1)
Since S ≤ 60:
n/2 (n + 1) ≤ 60
n (n + 1) ≤ 120
n must be an integer, so from trial and error:
n ≤ 10
Mr. Tong should use 10 tiles in the final row to use the most tiles possible.
