Answer:
Choice C
Step-by-step explanation:
f: initial value of 200 decreasing at a rate of 4%
g: initial value of 40 increasing at a rate of 8%
f is decreasing so it must go down starting at 200
That eliminates a and d
g is increasing and starts at 40 That eliminates a
We must look at b and c
g is increasing faster than f is decreasing
Choice C
For the red line, we have:
gradient (

) = 1/3
y-intercept = 3
Equation of straight line is given by

, where

is the gradient and

is where the line intercept the y-axis
So we have,

The shaded part is above the line, hence the first inequality is

The black line, we have
gradient,

= 3
y-intercept = -2


, rearranging gives

The shaded region is to the right of the line, hence the inequality is

Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>
0.75x-18.5=0.65x
0.75x-0.65x=18.5
0.1x=18.5
x=18.5/0.1=185
Answer: x=185
To checkt:
0.75(185)-18.5=138.75-18.5=120.25
0.65(185)=120.25
Answer:
Step-by-step explanation:
a.) The worst-case height of an AVL tree or red-black tree with 100,000 entries is 2 log 100, 000.
b.) A (2, 4) tree storing these same number of entries would have a worst-case height of log 100, 000.
c.) A red-black tree with 100,000 entries is 2 log 100, 000
d.) The worst-case height of T is 100,000.
e.) A binary search tree storing such a set would have a worst-case height of 100,000.
Answer:
28.3 (explaination below)! :)
Step-by-step explanation:
Use the formula for cicrumfrence: C=2πr
Radius can be found by splitting the given number in half, (unless you were given the radius already, then you'd just multiply by 2).
Plug in our numbers. C= 2π4.5
Then, multiply.
You'd get 28.27433388230814.
Rounding to the first decimal place, you'd have a final answer of 28.3.
Hope this helps!