Answer:
Modeling the dome as a hemisphere, V = 2/3 πr³ =
(2/3)(3.14)(54 ft)³ = 629,624.64 ft³
Step-by-step explanation:
Answer: he will be charging them 70% less than what the rake cost.
Step-by-step explanation:
Answer:
A, B and D are true statements.
Step-by-step explanation:
We are given a binomial expansion


Now we will check each option
Option A: The coefficients of
and
both equal 1.
If we see first and last term of the expansion, This statement is true.
Option B: For any term
in the expansion, a + b = n.
Let we take 3rd term of expansion
Here, a=n-2 and b=2
If we do a+b = n-2+2=n
a+b=n is true statement.
Option C: For any term x^ay^b in the expansion, a - b = n.
Let we take 3rd term of expansion
Here, a=n-2 and b=2
If we do a-b = n-2-2=n-4≠n
a-b=n is false statement.
Option D: The coefficients of x^ay^b and x^by^a are equal.
If we take second term from beginning and last of the expansion.


This statement true.
Answer:
a) A = 36π in² ≈ 113.09 in²
b) $0.98 per slice
c) $0.09 per square inch
Step-by-step explanation:
a) area = πr²
r= diameter/2 = 12/2 = 6
A = π(6)²
A = 36π in² ≈ 113.09 in²
b) s = price per slice
s = 9.75 ÷ 10
s = $0.975 ≈ $0.98
c) price per square inch = price ÷ area
= 9.75 ÷ 113.09
= $0.086 ≈ $0.09 per square inch
Answer:
Here's one way to do it
Step-by-step explanation:
1. Solve the inequality for y
5x - y > -3
-y > -5x - 3
y < 5x + 3
2. Plot a few points for the "y =" line
I chose
\begin{gathered}\begin{array}{rr}\mathbf{x} & \mathbf{y} \\-2 & -7 \\-1 & -2 \\0 & 3 \\1 & 8 \\2 & 13 \\\end{array}\end{gathered}
x
−2
−1
0
1
2
y
−7
−2
3
8
13
You should get a graph like Fig 1.
3. Draw a straight line through the points
Make it a dashed line because the inequality is "<", to show that points on the line do not satisfy the inequality.
See Fig. 2.
4. Test a point to see if it satisfies the inequality
I like to use the origin,(0,0), for easy calculating.
y < 5x + 3
0 < 0 + 3
0 < 3. TRUE.
The condition is TRUE.
Shade the side of the line that contains the point (the bottom side).
And you're done (See Fig. 3).