Answer:
1, 2
Step-by-step explanation:
The integers, x, that satisfy 1 <= x <= 8 are
1, 2, 3, 4, 5, 6, 7, 8
Now we solve the inequality for x.
-x + 4 >= 2
-x >= -2
x <= 2
Now we see which of the eight integers above make the inequality true.
Only 1 and 2 satisfy the inequality.
Answer:
the answer is 9.5 (B)
Step-by-step explanation:
Apply the cosine double angle identity to get:
Cos 2PI/3
-1 = z/3 - 7
Emily's Work:
-1 = z/3 - 7
-1(3)=z/3(3)-7
-3 = z - 7
-3 -7 = z - 7
z = -10
Right away without having to start at the beginning, I see that she has made a mistake at the 4th-5th line of work.
Instead of adding 7 to both sides, she subtracts it and still leaves it in and doesn't fully finish the equation, as it would really be z-7 = -10
In order to solve it, follow these steps:
Rewrite the initial equation as follows:
x/3 - 7 = -1
Multiply both sides by 3
x/3(3)-7(3)=-1(3)
x - 21 = -3
Add 21 to both sides
x = 18
Basically, you are asked to find the volume of a cylinder with a diameter of 14 inches and a height of 18 inches. The formula for the volume of a cylinder is
V = pi*(r^2)*h
r is just the half of the diameter. In this case, r = 14/2 = 7. Then,
V = pi*(7^2)*18
V = 2771 cubic inches
