9, 6, 3, 0
a =Ist Term = 9.
Common difference is = T2 - T1 = 6 - 9 = -3.
The sequence is an Arithmetic Progression AP = a + (n-1)*d
Tn = a + (n-1)*d
Tn = 9 + (n-1)*(-3). Expand and simplify.
Tn = 9 - 3n +3.
Tn = 12 - 3n.
Hence the recursive formula is = 12 - 3n. Where n = position of term. n = 1, 2, 3, ..
In this question, we have to convert 12m/s to km/min .
And for the conversion, we need km in the numerator and min in the denominator .
And 1 km equals to 1000 m and 60 seconds equals to 1 minute .
And that's the required conversion factor to convert 12m/s to km/min.
And hence out of the four given options, correct options are A and B .
Problem 1)
The base of the exponential is 12 which is also the base of the log as well. The only answer choice that has this is choice B.
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Problem 2)
log(x) + log(y) - 2log(z)
log(x) + log(y) - log(z^2)
log(x*y) - log(z^2)
log[(x*y)/(z^2)]
Answer is choice D
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Problem 3)
log[21/(x^2)]
log(21) - log(x^2)
log(21) - 2*log(x)
This matches with choice B
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Problem 4)
Ln(63) = Ln(z) + Ln(7)
Ln(63)-Ln(7) = Ln(z)
Ln(63/7) = Ln(z)
Ln(9) = Ln(z)
z = 9
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Problem 5)
Ln(5x-3) = 2
5x-3 = e^2
5x = e^2+3
x = (e^2+3)/5
This means choice A is the answer
Answer:
44√2 yards ≈ 62.23 yards
Step-by-step explanation:
You can uses the Pythagorean theorem to find the length of the diagonal. It is the hypotenuse of a right triangle with side lengths of 44 yards. Then the diagonal measure is ...
d = √(44² +44²) = √(44² × 2) = 44√2
The length of the diagonal of the plot is 44√2 yards, about 62.23 yards.