Answer:
<em>4 shelves</em>
Step-by-step explanation:
First you will have to subtract the one she keeps by her bed.
27 - 1 = 26 to be put on a shelf.
To find the least number of shelves needed, you will divided the total left by eight:
26 ÷ 8 = 3.25
She can fill 3 shelves completely and still have books left over. So she needs at least 4 shelves!
Love your profile pic btw! :)
Answer: B) shifts the line 7 units right.
Step-by-step explanation: When the a number is either added or subtracted on the <em>inside </em>(will be surrounded by parentheses if it is on the inside) the parent function is moved right and left. Since it is inside parentheses, though, everything that happens will be the opposite of what it shows. Even though it says -7, and you would assume it shifts left, it doesn't. It actually goes to the right.
1. h(x) = 3
Let f(x) = 3x and g(x) =
2. N(x) = (
)⁵
Let f(x) = x⁵ and g(x) = 2x and h(x) =
1. x=1
5x=4+x
4x=4
x=1
2. x=3/4 or 0.75
2/3x=1/2
2x=1 1/2
x=3/4
3. x=1
3x-2x+4=15/3
x+4=15/3
x=1
4. x=5
4x+7=2x+17
2x+7=17
2x=10
x=5
5. x=20
.5x=10
x=20
I assume the solid is a "regular hexagonal prism", by which it means that the cross section is a regular hexagon with all sides and angles equal.
Also, the exact apothem is 9.5262... but we will adopt the given value of 9.5.
First lateral surface area
A1=6*side length*height=6*11*20=1320 units
Then the end areas
A2=2 faces * 6 triangles/face * [base * height (apothem) /2]
=2*6*11*9.5/2
=627 units
Total area=1320+627=1947 units