<h2>Common ratio = -1/2</h2>
Step-by-step explanation:
term of a Geometric progression is given as
. The first term is given as
.
Any general Geometric progression can be represented using the series
.
The first term in such a GP is given by
, common ratio by
, and the
term is given by
.
In the given GP, 
∴ Common ratio is
.
Let x = the length of the rectangle
Let w= the width
Two sections are required, hence 2w of fence required
2x+3w=500
this can be written as:
3w=1500-2x
w=(1500-2x)/3
Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3
This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750
Answer:
i hope this helps
Step-by-step explanation:
The answer would be A, or "A box-and-whisker plot. The number line goes from 0 to 12, and the box ranges from 4 to 10. A line divides the box at 7.
Step-by-step explanation:
If you plot the data (2, 4, 6, 8, and 12) it looks something like the poor box-and-whisker plot below
⊕← | Ф | →⊕
|---|---|---|---|---|---|---|---|---|---|---|---|
0 1 2 3 4 5 6 7 8 9 10 11 12
Description A describes that exact box-and-whisker plot.
Answer:
Their will be enough water for each student to consume 2 cups of water.
Step-by-step explanation:
Grade 3, 4 and 5 have their annual field day together . Each grade level is given 16 gallons of water. This means the three grades have 16 × 3 = 48 gallons of water.
The total students involved is 350 student. The total student is the sum of the student in all three grades.
Since the water will be distributed to the students in cups let us convert gallons to cups.
1 gallons = 16 cups
48 gallons = ? cups
cross multiply
48 × 16 = 768 cups.
768 cups of water is available to be shared among the 350 students.
1 student is entitled to 2 cups of water.
350 students will consume 350 × 2 = 700 cups of water.
Therefore, their will be enough water for each student to consume 2 cups of water.
Step-by-step explanation:
1024 bytes = 1 kb
n kb = 1024 × n b
Where n is a positive number