Answer:
Step-by-step explanation:
Using the change of base rule for logarithms
x = 
( where c is the new base )
Given
log 17 , that is 
17 , then
17 =
Answer:
18 boys
Step-by-step explanation:
we add 2 and 3 because they are equal parts:
2+3=5
Then we divide 45 by 5 because we want to find what 1 part equals"
45/5=9
We now do 9*2 to get an answer of:
9*2=18
hope this makes sense!
Answer:
"greatest common factor" (GCF) or "greatest common divisor" (GCD)
Step-by-step explanation:
Apparently, you're looking for the term that has the given definition. It is called the GCF or GCD, the "greatest common factor" or the "greatest common divisor."
_____
The GCF or GCD can be found a couple of ways. One way is to find the prime factors of the numbers involved, then identify the lowest power of each of the unique prime factors that are common to all numbers. The product of those numbers is the GCF.
<u>Example</u>:
GCF(6, 9)
can be found from the prime factors:
The unique factors are 2 and 3. Only the factor 3 is common to both numbers, and its lowest power is 1. Thus ...
GCF(6, 9) = 3¹ = 3
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Another way to find the GCD is to use Euclid's Algorithm. At each step of the algorithm, the largest number modulo the smallest number is found. If that is not zero, the largest number is replaced by the result, and the process repeated. If the result is zero, the smallest number is the GCD.
GCD(6, 9) = 9 mod 6 = 3 . . . . . (6 mod 3 = 0, so 3 is the GCD)
Answer:
The two iterations of f(x) = 1.5598
Step-by-step explanation:
If we apply Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.
xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)
Given;
f(xₙ) = cos x, then f'(xₙ) = - sin x
cos x / - sin x = -cot x
substitute in "-cot x" into the equation
xₙ₊₁ = xₙ - (- cot x)
xₙ₊₁ = xₙ + cot x
x₁ = 0.7
first iteration
x₂ = 0.7 + cot (0.7)
x₂ = 0.7 + 1.18724
x₂ = 1.88724
second iteration
x₃ = 1.88724 + cot (1.88724)
x₃ = 1.88724 - 0.32744
x₃ = 1.5598
To four decimal places = 1.5598
B. 875
1/4 of 500 is 125. So 125 is how much they pay for day approx. 125 times the seven days will be 875.
