consider the equation 6*e^0.25t = 9 solve the equation for t. express the solution as a logarithm in base-e
1 answer:
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1. Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.
2: 2 , 4
4: 4
Therefore, the LCD is 4
Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
Therefore, the LCD is <span>2 x 2 = 4
</span>
2. <span>Make the denominators the same as the LCD
</span>
<span>
3. </span><span>Simplify. Denominators are now the same.
</span>
4. Join the denominators
5. <span>Simplify
</span>
<span>
Done! :) </span><span>Decimal Form: -0.25</span>
2: 2 , 4
4: 4
Therefore, the LCD is 4
Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
Therefore, the LCD is <span>2 x 2 = 4
</span>
2. <span>Make the denominators the same as the LCD
</span>
<span>
3. </span><span>Simplify. Denominators are now the same.
</span>
4. Join the denominators
5. <span>Simplify
</span>
<span>
Done! :) </span><span>Decimal Form: -0.25</span>
Applying the angle addition postulate, the measure of angle RST is: 66°.
<h3>What is the Angle Addition Postulate?</h3>If two angles share a common vertex and a common side, they are adjacent angles that form a larger angle. According to the angle addition postulate, the sum of these two adjacent angles will give a sum that is equal to the measure of the larger angle they both form.
We know the following:
Measure of angle RSU = 43º
Measure of angle UST = 23º
In the diagram given, angle RSU and angle UST are adjacent angles that form a larger angle, angle RST.
Therefore, based on the angle addition postulate, the measure of angle RST = sum of the measures of angles RSU and UST.
Therefore, we would have:
m∠RST = m∠RSU + m∠UST
Substitute
m∠RST = 43 + 23
m∠RST = 66°
Learn more about the angle addition postulate on:
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