Answer:
9 and 8 are linear and 10 is non linear
Step-by-step explanation:
an = dn - c
The an stands for the nth term of the pattern. So a1 is the first term and a2 is the second term of the pattern. The d is the difference between each of the terms. The n stands for the term you're calculating. If you're calculating the third term, then n is 3. And c is a constant that you'll need to calculate.
For example, the linear number pattern of 1, 3, 5, 7, 9, … has an equation of:
an = 2n - 1.
Answer:
The new volume is two times the original volume
Step-by-step explanation:
we know that
The volume of a rectangular prism

where
B is the area of the base
H is the height of the prism
If the height of a rectangular prism is doubled,
then
The new volume is equal to


therefore
The new volume is two times the original volume
Answer:
Step-by-step explanation:
Area = 192 m²
Perimeter= 56 m
Width = x m
Perimeter = 56
2*(length + width) = 56
Divide the equation by 2
l + x = 56/2
l + x = 28
l = 28 - x
Area = 192 m²
l * w = 192
(28 - x)*x = 192
28x - x*x = 192
0 = 192 - 28x + x²
x² - 28x + 192 = 0
2) Equation is a quadratic equation. The roots of this equation will the dimensions of the rectangular plot.
3) The roots represent the width and length of the rectangle.
x² - 28x +192 = 0
Sum = -28
Product =192
Factors = -16 , -12 {-16 +(-12) = -28 & (-12)*(-16) = 192}
x² - 28x + 192 = 0
x² - 12x - 16x + (-16)*(-12) = 0
x(x -12) - 16(x - 12) = 0
(x - 12)(x -16) =0
x -12 = 0 ; x - 16 = 0
x = 12 ; x = 16
x = 12 ,16
4) Sum of the roots = 12 + 16 = 28
Sum of the roots = half of the perimeter
5) Product of the roots = 12*16 = 192 = area of the rectangle.
Answer:
length = 3m
Step-by-step explanation:
rule : Area =width * length
here Area given = 11
width = 3
now,
11 =
* length
length = 33/11
length = 3m
Sn=So(1+p/100*2)
2000*(1+3/100*2)=2000(1+3/50)=2000*53/50=40*53=2120$
My answer:2120$