Answer: x=20
Step-by-step explanation: 81 = 3^4, (3^4)^5= 3^(4*5)=3^20. x=20
Answer:
f(x) = 86(1.01)^7x; They grow at approximately the rate of 1% per day.
Step-by-step explanation
86 is the number of weeds at the starting point of the question.
8/7% each day, 7 being the total number of days in the week, the weekly growth 8%: 1 day is 8/7% growth or 1.14% rounded up to 1%
In the original equation the 8% growth was represented by 1.08
Substituting the weekly rate of 8% with the daily rate of 1%, or 1.08 with 1.01 the new function is:
f(x) = 86(1.01)^7x
Here is your answer in the picture
Diagonals that bisect each other are perpendicular and form a right angle.
AEB is a right triangle.
We can apply the Pythagorean theorem:
c^2 = a^2+b^2
Where c is the hypotenuse (longest side) and a and b the other 2 legs.
Replacing:
AB^2 = AE^2+BE^2
AB^2 = 5^2+12^2
AB^2 = 25+144
AB^2 = 169
AB=√169 = 13
Lenght of AB= 13