You might have made an error the first time you solved for x. I got x = -0.5.
When you have your log base 4, the way you cancel that out is by making 4 the base on both sides, so you get 4^(log4) to reduce to 1, and you're left with:
2x + 3 = 4^(1/2) ... Simplify
2x + 3 = 2
2x = -1
x = -1/2
If you plug that back in, everything checks out. Maybe double check your use of logarithm/exponent properties?
Answer:
Horizontal distance between the log and the bridge when the stone is released = 17.24 m
Step-by-step explanation:
Height of bridge, h = 50.8 m
Speed of log = 5.36 m/s
We need to find the horizontal distance between the log and the bridge when the stone is released, for that first we need to find time taken by the stone to reach on top of log,
We have equation of motion. s = ut + 0.5 at²
Initial velocity, u = 0 m/s
Acceleration, a = 9.81 m/s²
Displacement, s = 50.8 m
Substituting,
s = ut + 0.5 at²
50.8 = 0.5 x 9.81 x t²
t = 3.22 seconds,
So log travels 3.22 seconds at a speed of 5.36 m/s after the release of stone,
We have equation of motion. s = ut + 0.5 at²
Initial velocity, u = 5.36 m/s
Acceleration, a = 0 m/s²
Time, t = 3.22 s
Substituting,
s = ut + 0.5 at²
s = 5.36 x 3.22 + 0.5 x 0 x 3.22²
s = 17.24 m
Horizontal distance between the log and the bridge when the stone is released = 17.24 m
Answer:
im sorry im doing this lol but can you pls give me brainliest first then i will answer
Step-by-step explanation:
sorry
Answer:
$262.5
Step-by-step explanation:
Given data
Commission earned= 7.5%
Sales for last week= $3,500
Let us find the amount of the commission
=7.5/100* 3500
=0.075*3500
=$262.5
Hence the commission earned last week is
$262.5
<h3>
Answer: (-infinity, 7]</h3>
=====================================
Explanation:
The first interval (-infinity, 3) describes any number less than 3, so we can write x < 3 in short hand (where x is the unknown number).
The second interval (-1, 7] means we start at -1 and stop at 7. We do not include -1 but include 7. So we say that 
(ie x is between -1 and 7; exclude -1, include 7)
If you were to graph each ona number line, you would see that the too intervals have overlapping parts. The right most edge extends out as far as x = 7. There is no left most edge as it goes onforever that direction.
Therefore, the to intervals combine to get 
which turns into the interval notation answer of (-infinity, 7]
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It might help to think of it like this: x < 3 and say "x is some number that is less than 3, or it is between -1 and 7". So x could be anything less than 7, including 7 itself.
