Answer: 729
Step-by-step explanation:
Move items with negative exponents from numerator to denominator or vice versa and change sign of exponent. Factorize composite numbers, say 10^3 = 2^3 × 5^3 and 81 = 3^4. Combine factors with same base, adding exponents. Cancel factors appearing in both numerator and denominator, subtracting exponents.
5^-3×6^-5×81×4/(3^-7×10^-3)
= 3^7×10^3×81×4/(5^3×6^5)
= 3^7×2^3×5^3×3^4×2^2/(5^3×2^5×3^5)
= 2^5×3^11×5^3/(2^5×3^5×5^3)
= 3^6
= 729
Answer:
None
Step-by-step explanation:
For there to be a correlation it needs to either be in a line or have equal stuff on both sides
Answer:683 km
Step-by-step explanation:
Answer:
I assume that this is a quadratic equation, something like:
y = -47*x^2 - 24x + (-36)
we can rewrite it as:
y = -47x^2 - 24x - 36
Ok, this is a quadratic equation and we want to find the maximum value.
First, you can notice that the leading coefficient is negative.
This means that the arms of the graph will open downwards.
Then we can conclude that the vertex of the equation is the "higher" point, thus the maximum value will be at the vertex.
Remember that for a general function
y = a*x^2 + b*x + c
the vertex is at:
x = -b/2a
So, in our case:
y = -47x^2 - 24x - 36
The vertex will be at:
x = -(-24)/(2*-47) = -12/47
So we just need to evaluate the function in this to find the maximum value.
Remember that "evaluating" the function in x = -12/47 means that we need to change al the "x" by the number (-12/47)
y = -47*(-12/47)^2 - 24*(-12/47) - 36
y = -32.94
That is the maximum value of the function, -32.94
