Her school is 2/3 miles away
2/3=4/6miles
So we need to find out how long it will take for her to run home from school...
School=4/6 miles
In 1 minutes she can run 1/6 miles
1min=1/6miles
In 2 minutes she can run 1/6+1/6 miles (1/6+1/6=2/6)
2min=2/6miles
3min=3/6miles
4min=4/6miles
It will take Erica 4 minutes to run 4/6 miles, so it'll take her 4 minutes to get home.
Answer:
The domain of P is given by,
{n | n ∈ N, 2 ≤ n ≤ 12}
Step-by-step explanation:
A perfect die is perfectly cubic in shape with one of the integers 1,2,3,4, 5 or 6 in each of it's 6 faces and the digits on any two faces are different.
Now, two dice are rolled and P(n) models the probability of the event that the sum on the faces of the two dice is n.
Hence, the domain of P is given by,
{n | n ∈ N, 2 ≤ n ≤ 12}
24,000/8= 3,000 balls
The machine produce 3,000 balls per hour.
Hope that helps!
Answer:
<u>(h * h)(10) = 16</u>
Step-by-step explanation:
We should know that: (f*g)(x) = f(x)*g(x)
Given: h(x) = 6 - x
∴(h * h)(x) = (6-x) (6-x) = (6-x)²
To find (h * h)(10), substitute with x = 10 at (h * h)(x)
∴ (h * h)(10) = (6-10)² = (-4)² = 16
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Note: if we want to find (hoh)(10)
(hoh)(x) = h[h(x)] = 6 - (6 - x) = 6 - 6 + x = x
∴ (hoh)(10) = 10
