In 1892 a world record was set. France’s M. Garisoain walked on stilts for 4.97 miles from Bayonne to Biarritz,France, at an ave
rage speed of 7.10 miles per hour. How long did it take him to walk that distance?
3 answers:
Answer: C. 0.7 hours.
Step-by-step explanation:
We know that the formula we use to find the distance is given by :-
Given : France’s M. Garisoain walked on stilts for 4.97 miles from Bayonne to Biarritz,France, at an average speed of 7.10 miles per hour.
Then, the time taken to walk that distance:-
Hence, it him took 0.7 hours to walk that distance.
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Answer:
(a)
(b) 10
(c)
(d) 0
(e) 1024
Step-by-step explanation:
(a)
A = {x ∈ Z | 0 < x, x² ≤ 100}
We need to find all the elements of given set.
The given conditions are
... (1)
Taking square root on both sides.
.... (2)
Using (1) and (2) we get
Since x ∈ Z,
(b)
We need to find the value of | {x ∈ Z | 0 < x, x² ≤ 100}| or |A|. It means have to find the number of elements in set A.
| {x ∈ Z | 0 < x, x² ≤ 100}| = 10
(c)
B = {x ∈ Z | x > 10, x² ≤ 100}
We need to find all the elements of given set.
The given conditions are
... (3)
It means
.... (4)
Inequality (3) and (4) have no common solution, so B is null set or empty set.
(d)
We need to find the value of |{x ∈ Z | x > 10, x² ≤ 100}| or |B|. It means have to find the number of elements in set B.
|{x ∈ Z | x > 10, x² ≤ 100}| = 0
(e)
We need to find the value of | P(A) |. P(A) is the power set of set A.
Number of elements of a power set is
where, n is the number of elements of set A.
We know that the number of elements of set is 10. So the value of |P(A)| is
Therefore |P(A)|=1024.
Answer:
Step-by-step explanation:
We have the equation
In order to solve for x, we need to get all of the x's to one side and everything else to the opposite side
First, we can add 1 to each side
Now, we can add x to each side
Next, we can divide each side by 2
And here is our answer.