Answer:
4 cm
Step-by-step explanation:
Both the area of a square and the area of a rectangle can be found by multiplying length x width. Because all of the sides of a square are equal, you get 64 when you multiply two sides together to find the area.
Since the rectangle has the same area as the square, that means the rectangle's width has to be a number that equals 64 when multiplied by 16.
So, 64/16 equals 4.
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The table containing the data needed for this problem is attached on this answer. This data is used to determine the best fit line that is extracted from this multitude of points given. Best fit line is described as a line in which the variation of each point to the line is the minimum. We plot the data using MS Excel and is shown in the figure attached as well. We determine the trendline of the graph by the function in MS Excel. The equation of the trendline is expressed as <span>y = -26.059x + 722.63 in which the coefficient of determination, r^2 = 0.8947. </span>
Answer:
1.21e+6 seconds
525,600 minutes
Step-by-step explanation:
Seconds in 1 day: 86,400
Seconds in 14 days: 1.21e+6
multiply the time value by 86400
525600
multiply the time value by 525600
Answer:
h(f(x)) = x
Step-by-step explanation:
Since the functions are inverses h(x) undoes f(x)
That is if f(x) = x then inverse function maps back to x
h(f(x)) = x
Answer:
A, and D
Step-by-step explanation:
A works because when you multiply like bases, you add exponents, so we have...
5^7*5^-4 = 5^(7+(-4)) = 5^(7 -4) = 5^3
B doesn't work because when you divide like bases, you subtract the exponent of the denominator from the exponent of the denominator...
5^12/5^4 = 5^(12 - 4) = 5^8
C doesn't work because there is addition.
5 + 5² = 5 + 25 = 30, and 5³ = 125
D works because 5^0 = 1, so we have
5^0(5^3) = 1(5^3) = 5^3
E doesn't work because there is subtraction...
5^3 - 5^0 = 5^3 - 1 = 124