Step-by-step explanation:
a) The 3rd row has 37 seats, the 4th row has 45 seats and the 5th row has 53 seats.
b) This is an arithmetic sequence because the values differ by a constant quantity.
c) You need to find the nth term of the sequence:
21 = 1×8+x
x=13
So the nth term is 8x +13.
The 100th term would be 813.
Answer:
The answer in the procedure
Step-by-step explanation:
Let
P------> the population of Applewood
n-----> the number of years since 2010
we have

using a graphing tool
see the attached figure
Verify each conclusion
a) The population of Applewood, P(n), equals 0 when n = 0
The conclusion is No
For n=0
The population is equal to P(0)=22,000 people
b) The behavior of the left end of the graph flattens out indicating that as n approaches negative infinity the population of Applewood approaches 0
The conclusion is Yes
see the graph
c) The behavior of the right end of the graph is upward indicating that as n approaches infinity the population of Applewood approaches infinity
The conclusion is Yes
see the graph
Complete question:
CHECK ATTACHMENT FOR THE DIAGRAM.
Answer:
Angle 7 is 76°
Step-by-step explanation:
From the diagram, notice that angle 4 = angle 5
That is,
Δ4 = Δ2
Because vertically opposite angles are equal.
Δ4 = 7x
Δ2 = 126
So
126 = 7x
Divide both sides by 7
x = 126/7 = 18
Again, angle 5 = angle 7
Δ5 = Δ7
Because vertically opposite angles are equal.
Since Δ5 = (4x + 4)°
And x = 18
Then
Δ7 = 4(18) + 4 = 72 + 4 = 76°
Answer: y=-2x+12
Step by Step explanation:
4x+2y=24
-4x -4x
-------------------
2y=-4x+24
---- ----- -----
2 2 2
y=-2x+12
Answer:
100.6 ft
Step-by-step explanation:
Regard the dashed line as the hypotenuse of a right triangle with one leg 90 ft and the other leg 45 ft.
The length of this hypotenuse is the desired distance. It is:
d = √[ 90² + 45² ] = 100.6 ft