He cut the poster board into 10 equal parts, so you start with none of the poster board being used up.
Since there were 10 sheets of poster board, and now 8/10 of the original amount is left, we know that there must now be 8 sheets left out of the original 10 sheets.
He can make one sign for each remaining sheet, so he can make 8 signs.
The answer is C.
Year New flowers
1 1200
2 300
3 75
There were 1200 wildflowers in the first year that the park started tracking them. Since then, there have been one fourth as many new flowers each year
Initially there are 1200 flowers and start decreasing by 
So first term is 1200 and common ratio is
.
Its a geometric sequence so summation becomes
i =1∑ ∞ 1200(
Now we find the sum
We use sum formula

Where a is the first term , a= 1200
r is the common ratio , r= 1/4


Sum = 1600 wildflowers
Answer:
D sqrt( A ) sqrt(pi) / pi = r
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
To find r
Divide each side of the equation by pi
A / pi = pi r^2 /pi
A / pi = r^2
Take the square root of each side
sqrt(A / pi )= sqrt( r^2)
sqrt(A / pi )= r
We do not like leaving square roots in the denominator, so multiply by sqrt(pi)/sqrt(pi))
sqrt(A / pi ) *sqrt(pi)/sqrt(pi))
sqrt( A ) sqrt(pi) / pi = r
Answer:
Step-by-step explanation:
1). Since, m∠1 + m∠2 = 180° [Supplementary angles]
If m∠2 = 120°
m∠1 + 120° = 180°
m∠1 = 180° - 120°
m∠1 = 60°
2). If a transversal intersects two parallel lines on the top and middle,
∠1 and ∠5 will be corresponding angles.
3). Since, m∠1 = m∠5 = 60° (Corresponding angles)
Therefore, both the lines on top and middle will be parallel.
4). Since, m∠9 + m∠11 = 180° [Supplementary angles]
If m∠11 = 120°
m∠9 + 120° = 180°
m∠9 = 60°
Since, m∠1 = m∠9 = 60° [Corresponding angles]
Therefore, both the lines on the top and bottom shelves will be parallel.
5). Since, m∠5 = m∠9 = 60° [Corresponding angles]
Therefore, middle and bottom shelves will be parallel.
Answer:
See below
Step-by-step explanation:
Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.
To create this equation we will need a regression calculator. The equation will be as follows.
y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )
(b) 2025 - 1900 = 126 years,
y = 0.125873(125) - 7.11916 = $ 8.614965
Minimum Wage : $ 8.614965
Attachment 2 : The rest of the problems can be solved similarly...
(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029
(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³
Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ
(b) 9.08292(1.09965)⁶⁰ =
( About 2713 recommendations )