Total number of $1 bills=7
Total number of $5 bills=8
Further explanation:
Given
Let x be the number of $1 bills
and
y be the number of $5 bills
Then according to the given statements
x+y=15
x+5y=47
From first equation:
Putting x=15-y in second equation
Putting y=8 in first equation
Hence,
Total number of $1 bills=7
Total number of $5 bills=8
Keywords: Linear equations, Substitution method
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Answer:
h = 7.47 m
Step-by-step explanation:
According to the question, we have a right triangle formed by the ladder with the wall and the floor.
The length of the ladder is the hypotenuse and the desired height is the opposite. This is due to the fact that "the ladder makes an angle of 21" 27" with the horizontal". Then, the trigonometric ratio to use is sine:
Using the values given:
Multiplying both sides by 14.5:
Then h = 7.47 m
Answer:
∫₂⁵ ln(x) dx
Step-by-step explanation:
lim(n→∞) ∑ᵢ₌₁ⁿ (3/n) ln((2n + 3i) / n)
lim(n→∞) ∑ᵢ₌₁ⁿ (3/n) ln(2 + (3/n) i)
The width of the interval is b−a = 3, and there are n rectangles. So the width of each rectangle is 3/n, and the height of each rectangle is ln(2 + (3/n) i).
The ith term is 2 + (3/n) i, so a = x₀ = 2. Therefore, b = 2+3 = 5.
So the region is the area under f(x) = ln(x) between x=2 and x=5.
∫₂⁵ ln(x) dx
