Answer:
<h3>

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Step-by-step explanation:



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Now, Using Pythagoras theorem

plug the values
⇒
Evaluate the power
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Swap the sides of the equation
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Move constant to right hand side and change it's sign
⇒
Calculate the difference
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Squaring on both sides
⇒
Hope I helped!
Best regards!
Answer:
10×4 = 40
10^4 = 10,000
Step-by-step explanation:
10^4 is another way to write 10⁴ = 10·10·10·10 = 10,000.
Essentially, the exponent tells you how many places to the right of the leading digit the decimal point lies (here, the number of zeros in the number).
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<em>Comment on the answer choice</em>
The appropriate answer depends on what you mean by your problem statement. Some microscopes magnify 40 times; others magnify 10,000 times, so we cannot tell the appropriate answer using our knowledge of microscopes.
Answer:
0
Step-by-step explanation:
If ∑aₙ converges, then lim(n→∞)aₙ = 0.
Using ratio test, we can determine if the series converges:
If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.
If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.
lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) / (100ⁿ / n!)|
lim(n→∞) |(100ⁿ⁺¹ / (n+1)!) × (n! / 100ⁿ)|
lim(n→∞) |(100 / (n+1)|
0 < 1
The series converges. Therefore, lim(n→∞)aₙ = 0.
Answer:
Y=-4x+6
Step-by-step explanation:
Step 1: Add -x to both sides.
X+0.25y+-x=1.5+-x
0.25y=-x+1.5
Step 2: Divide both sides by 0.25.
0.25y/0.25=-x+1.5/0.25
Y=-4x+6
Hope I helped
Answer:
6
Step-by-step explanation:
If V = IR, then V = 40 * 3 in this case, which means V = 120. Quote question, "Assume voltage remains constant." This means V still equals 120 in the second scenario, which we can input into I = V / R to make I = 120 / 20 = 6.
Hope this helps!