Answer:
At t=1, Rate of Change=-36.86
At t=10 hours, Rate of Change =-0.0088
Step-by-step explanation:
The function which describes the number of facts of a certain type which are remembered after t hours is given as:
To determine the Rate of Change at the given time, we first look for the derivative of f(t).
Applying quotient rule:
At t=1
=-36.86
At t=10 hours
=-0.0088
7) Vertex = V(2,3)
9) Vertex = V(2,1)
17) The smaller the absolute value of the coefficient of x², the larger is the opening of the parabola. (to compare, just take the absolute value of a)
Coefficients are (5), (-3) and (1):
Widest: f(x) =x², followed by f(x) = -3x² and the narrowest is f(x) =5x².
Hey there! I'm happy to help!
Let's represent Ben's age with a B and Jeff's with a J in a few equations below.
B=J-9 (Ben is 9 years younger than Jeff)
B+10+J+10=67 (In 10 years, the sum of their ages will be 67)
We know that B is equal to J-9. So, in the second equation, we can replace B with J-9 to solve for J.
J-9+10+J+10=67
We combine like terms.
2J+11=67
We subtract 11 from both sides.
2J=56
We divide both sides by two.
J=28
And, we know that Ben is nine years younger than Jeff, so this means Ben is 19 years old.
Ben is 19 years old and Jeff is 28.
I hope that this helps! Have a wonderful day! :D
Answer: 36 feet
Step-by-step explanation:
The length of border that Herbert needs simply means that we've to calculate the perimeter.
The sides of the rectangle are 7 ft by 11 ft. The perimeter of a rectangle will be:
= 2(Length + Breadth)
= 2( 7ft + 11ft)
= 2 × 18
= 36 feet
It would be 98 degrees.
this is because on the top line their is a spot that we don’t know the angle of and next to it is an angle of 82 degrees and a line is equal to 180 degrees so all you have to do is subract 82 from 180.
hope this was correct & helped out
