Answer:
93
Step-by-step explanation:
First differences increase by 4 each time. The given numbers are a quadratic sequence that can be described by 2n² -2n +9. The 7th term would be 93.
_____
First differences are ...
13-9 = 4, 21-13 = 8, 33-21 = 12, 49-33 = 16, 69-49 = 20
Second differences are ...
8-4 = 4, 12-8 = 4, 16-12 = 4, 20-16 = 4
When second differences are constant, the sequence can be represented by a second-degree polynomial function. The leading coefficient is half the value of the second differences.
Answer:
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is 
⇒ B
Step-by-step explanation:
In similar rectangles, their corresponding dimensions are proportional, which means 
= 
, where L is the length and W is the width
∵ Rectangle ABCD is similar to rectangle MNOP
∴ Their dimensions are proportional
∵ The dimensions of rectangle ABCD are 6 m, 14 m
∴ L
= 14 and W = 6
∵ The dimensions of rectangle MNOP are 4.5 m, 10.5 m
∴ L
= 10.5 and W = 4.5
∵ The rectangle MNOP is the image of rectangle ABCD after dilation
→ To find the scale factor of dilation find the ratio between the
corresponding dimensions in the two rectangles (image/pre-image)
∵ 
= 
=
∵ 
= 
=
∴ The scale factor for the dilation is
The scale factor for the dilation of rectangle ABCD to rectangle MNOP is
Step-by-step explanation:
polynomial is an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable
Answer: a. 0.15 b. 0.03 c. 0.055 d. 0.05
Step-by-step explanation:
For plausible intervals of population proportions , the margin of error is basically half of the difference between upper limit and lower limit.
a. Interval = From 0.35 to 0.65
Upper limit = 0.65
Lower limit = 0.35
Difference = Upper limit- Lower limit
= 0.65-0.35=0.30
Margin of error = (Difference)÷2 =(0.30)÷2=0.15
b. Interval = From 0.72 to 0.78
Upper limit = 0.78
Lower limit = 0.72
Difference = 0.78-0.72 = 0.06
Margin of error =(0.06)÷2=0.03
c. Interval = From 0.84 to 0.95
Upper limit = 0.95
Lower limit = 0.84
Difference =0.95-0.84= 0.11
Margin of error = (0.11)÷2 = 0.055
d.Interval = From 0.47 to 0.57
Upper limit = 0.57
Lower limit = 0.47
Difference = 0.57-0.47=0.10
Margin of error = (0.10)÷2=0.05
