: Let y = f(x) = x^1/3
Then dy = 1/3*x^(−2/3) dx
Since f(64) = 4.
We take x = 64 and dx = ∆x = 1
This gives dy = 1/3*(64)^(−2/3)* (1) = 1/48
∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 <span>
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KMN = 90° (tangent perpendicular to radius)
Using Pythagoras Theorem,
√(8^2 + 6^2) = √(100) = 10
Therefore KN = 10km
Answer: he read 59 pages on Wednesday
Step-by-step explanation:
Total number of pages in the book is 473 and Raoul has to finish in a week.
The total number of days in a week is 7.
Let x represent the number of pages that he read I'm each day of the week. He decided to read 30 extra pages on Saturday and on Sunday. This means that sum of pages that he read on Saturday is
x + 30 and sum of pages that he read on Saturday is x + 30.
Total number of pages that he read on each of the other five days is 5x
Total number of pages read in the week would be
5x + x + 30 + x + 30 = 7x + 60
Therefore
7x + 60 = 473
7x = 473 - 60 = 413
x = 413/7 = 59
9.9 can go into 647 65 times with .3535353535 as the decimal.
I.E 9.9 goes into 647, 65.3535353535 times
Answer:
B) 5 gallons
Step-by-step explanation:
4 quarts = 1 gallon
multiply each number by 5
20 quarters = 5 gallons