: 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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2/15
90 ÷ 6 = 15
Theoretical probability would be 15 due to the equation above
Answer:
The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.
Step-by-step explanation:
Use combinations to solve this problem.
Combination is defined as the selection of <em>r</em> elements from <em>n</em> distinct objects irrespective of the order. The objects cannot be replaced.
There are 9 Lego kits available.
And the total number of children is 6.
That is, we need to select 6 Lego kits from the 9 available Lego kits.
6 Lego kits can be selected from the 9 available Lego kits in
ways.
Solving the combination as follows:

Thus, there are 84 ways to select 6 Lego kits from 9 available Lego kits.
Answer:
the bottom one
Step-by-step explanation:
They are both the same ab and bc but im not entirely sure
Answer:
DF^2=DH^2+HF^2
DF=√DH^2+HF^2
DF=√2(DH^2) {AS IT IS A CUBE THEN ALL SIDES ARE EQUAL}
DF=√2*11^2 {ALL SIDES OF A CUBE ARE EQUAL}
DF=√2*121
DF=√242
DF=15.555
THEREFORE,OPTION B..