Answer:
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
Step-by-step explanation:
<u>Numbers:</u>
<u>Let's see which option is correct:</u>
-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.
- 4.5 in not an integer, it is incorrect
-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.
- 4.5 is not a whole number, this is incorrect
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
12 is a rational number, -1.1 and -6 are integers, and 4.5 is a whole number.
- -1.1 is not and integer, 4.5 is not a whole number, this is incorrect
Step-by-step explanation:
dP/dt = -0.4P
Separate the variables and integrate.
dP/P = -0.4 dt
ln|P| = -0.4t + C
P = Ce^(-0.4t)
Use initial condition to find C.
2 = C^(0)
C = 2
P = 2e^(-0.4t)
dQ/dt = -1
Integrate.
Q = -t + C
Use initial condition to find C.
3 = 0 + C
C = 3
Q = -t + 3
Set the two equal.
2e(-0.4t) = -t + 3
Use a calculator to find t.
t = 2.156
The populations have the same size after 2.156 hours.
2/3 of $48 is $32. (48 / 3 = 16 x 2 =3)
7/8 of $22 is $19.25.
3/4 of 60 is 45.
Answer:
30.3m^2
Step-by-step explanation:
I started off by finding the area of the semi circle. The formula πr^2 divided by 2. The radius of the circle is 2 because it is half of the diameter which is 4. So π(2)^2 divided by 2 is 6.3.
Next I broke apart the the shape into a rectangle and a triangle for simplicity sake. So doing this I had to know where to cut and if you look at the top of the figure it shows 2m for the length at the top. So I put a vertical line there. Thus changing the 10m on the bottom to a 8m section and a 2m section. So the rectangle's area will be the length times the height which is 2x4=8.
The triangle's area can be found with the equation BH/2 and we the 8 base we found and a height of 4 it is 8x4/2. Which ends up as 16.
Finally you add up all three area's that you found 8+16+6.3=30.3
Answer:
width is 30-22 = 8 feet
George would need 76 feet of fencing for the dog run
Step-by-step explanation:
30 x (30-x) = 240
30-x = 8
-x = -22
x = 22
Therefore width is 30-22 = 8 feet
8+8+30+30 = 76
Thus, George would need 76 feet of fencing for the dog run
