Answer:
C
Step-by-step explanation:
Given the logarithmic equation

First, notice that

So, there is no possible solutions, all possible solutions will be extraneous.
Solve the equation:

then

Hence,
and
are extraneous solutions
Given:
A height of 2 feet above the ground and angle of elevation of 86 degrees.
Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:
180 - (90+86) = 4 degrees
The distance from the home plate to the centerfield is
2/sin 4 = x / sin 86
solve for x
x = 28.60 feet
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Before the driver applies the brakes ( with the reaction time ):
d 1 = v0 · t = 20 m/s · 0.53 s = 10.6 m
After that:
v = v0 - a · t1
0 = 20 m/s - 7 · t1
7 · t1 = 20
t1 = 2.86 s
d 2 = v 0 · t1 - a · t1² / 2
d 2 = 20 m/s · 2.86 s - 7 m/s² · (2.86 s)²/2 = 57.2 m - 28.6 m = 28.6 m
d = d 1 + d 2 = 10.6 m + 28.6 m = 39.2 m
Answer: the stopping distance of a car is 39.2 m.
Answer:
29
Step-by-step explanation:
As it is a list of prime number, the sequence continues with 29 being the next prime number after 23.
Answer:
62,160 cubic feet
Step-by-step explanation:
To solve this problem, we can use a percentage formula as shown below:

<em>P = initial value</em>
<em>r = rate</em>
Now lets plug in the values given in the question:
62,160
This means that the volume of the warehouse after the addition will be 62,160 cubic feet.