Answer:
the length of the bridge in miles is 3.37 miles
Step-by-step explanation:
The computation of the length of the bridge in miles is shown below:
Given that
The length is 5927.261 yard
As we know that
1760 yard = 1 mile
So 1 yard = 1 ÷ 1760 mile
For 5927.261 yard, the miles would be
= 5927.261 ÷ 1760
= 3.37 miles
Hence, the length of the bridge in miles is 3.37 miles
Answer: The ball hits the ground at 5 s
Step-by-step explanation:
The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:
(1)
Where
models the height of the ball in meters and
the time.
Now, let's find the time
when the ball Sara kicked hits the ground (this is when
):
(2)
Rearranging the equation:
(3)
Dividing both sides of the equation by
:
(4)
This quadratic equation can be written in the form
, and can be solved with the following formula:
(5)
Where:
Substituting the known values:
(6)
Solving we have the following result:
This means the ball hit the ground 5 seconds after it was kicked by Sara.
First and third, second can still be simplified.
Hello from MrBillDoesMath!
Answer:
Take you pick below! (either x 8 or x = 7.01, approx, depending how the question is interpreted)
Discussion:
Interpretation 1
If the question is
2^(x -1) = 128, then as 2^7 = 128,
x-1 = 7 so x = 8
Interpretation 2
If the question is (2^x -1) = 128, then..
2^x = 128 + 1 = 129 =>
log(2^x) = log(129) =>
xlog(2) = log(129) =>
x = log (129) / log2 = 7.01
Regards,
MrB