Answer:
The hourly wage is $8.55 per hour
Step-by-step explanation:
Step 1: Determine the expression for the gross pay
Total gross pay=(Unit rate per hour×number of hours(≤40))+(Overtime rate×number of overtime hours)
where;
Total gross pay=$380.48
Unit rate per hour=x
Number of hours=40 hours
Overtime rate=x×(1 1/2)=1.5 x
Number of overtime hours=3 hours
Step 2: Replace to solve for hourly wage
380.48=(x×40)+(1.5 x)×3
40 x+4.5 x=380.48
44.5 x=380.48
x=380.48/44.5
x=8.55
The hourly wage is $8.55 per hour
1 yard = 3 feet
divide 24 feet by 3 feet to get yards
24 / 3 = 8 yards
Ln<span>(5x)</span>=4<span><span>ln</span><span>(5x)</span>=4</span>
To solve for <span>xx</span>
, rewrite the equation using properties of logarithms.<span><span><span>e<span>ln<span>(<span>5x</span>)</span></span></span>=<span>e4</span></span><span><span>e<span>l</span></span></span></span>
Solve for <span>x</span>
Tap for more steps...Exponentiation and log are inverse functions.<span><span><span>5x</span>=<span>e4
</span></span></span>Divide each term by <span>5</span>
and simplify.Tap for more steps...Divide each term in <span><span><span>5x</span>=<span>e4</span></span><span><span>5x</span>=<span>e4</span></span></span>
by <span>5</span>
.Reduce the expression by cancelling the common factors.
Cancel the common factor.<span><span><span><span>5x</span>5</span>=<span><span>e4</span>5
</span></span></span>Divide <span>x</span>
by <span>1</span>
to get <span>x</span>
.<span><span>x=<span><span>e4</span>5</span></span><span>x=<span><span>e4</span>5</span></span></span>
Verify each of the solutions by substituting them back into the original equation <span><span><span>ln<span>(<span>5x</span>)</span></span>=4 </span></span>
and solving. In this case, all solutions were found to be valid.<span><span>x=<span><span>e4</span>5</span></span><span>x=<span><span>e4</span>5</span></span></span>
The result can be shown in both exact and decimal forms.Exact Form:<span><span>x=<span><span>e4</span>5</span></span><span>x=<span><span>e4</span>5</span></span></span>
Decimal Form:<span>x=<span>10.91963000<span>…</span></span></span>
<h3><u>
Answer:</u></h3>
<h3><u>
Step-by-step explanation:</u></h3>
We know that:
- Total degrees of triangle: 180°
Using this clue, we can find m∠1.
- => 67 + 62 + m∠1 = 180
- => 129 + m∠1 = 180
- => m∠1 = 180 - 129
- => m∠1 = 51°
<h3><u>
Conclusion:</u></h3>
We have finally found the answer to the missing angle. The answer is 51°.
Hoped this helped.