Width of the rectangle is 10.67 ft
<u>Step-by-step explanation:</u>
Step 1:
Let the width of the rectangle be x. Then length = 2x + 12
Given width + length = 44ft ⇒ x + 2x + 12 = 44
⇒ 44 = 3x + 12
⇒ 32 = 3x
⇒ x = 32/3 = 10.67
Width of the rectangle = 10.67 ft
Answer:
30 trees/acre
Step-by-step explanation:
Let n = the number of trees added to 1 acre
Let Y(n) = the yield in bushels/acre
Yield in bushels/acre = [bushels/tree] x [trees/acre]
Y(n) = (40-n)*(20+n)
= 800 - 20n + 40n - n^2
= n^2 + 20n + 800 ---------------------(1)
The n-value of the vertex ( which is a peak ) is given by the formula:
n(max) = -b/2a
Putting values from equation (1) gives us
n(max) = 10
The grower started with 20 tree/acre and adds 10 more for max yield, so she should plant: 30 trees/acre
and
Maximum yield is 900 bushels/acre.
Answer:
A
Step-by-step explanation:
The dilation with the center of dilation at the origin and scale factor of 4 has the rule
(x,y)→(4x,4y).
Thus,
- A(-1,3)→A'(-4,12)
- B(2,1)→B'(8,4)
- C(-2,-1)→C'(-8,-4)
A'(-4,12) - option B
B'(8,4) - option C
C'(-8,-4) - option D
Answer:
The relation between is
Step-by-step explanation:
Natural length = 0.23 m
Spring stretches from 23 cm to 33 cm. now
Work done in stretching the spring
where b = 0 & a = 0.1 m
With limits b = 0 & a = 0.1 m
Put the values of limits we get
------- (1)
Now the work done in stretching the spring from 33 cm to 43 cm.
With limits b = 0.1 m to a = 0.2 m
With limits b = 0.1 m to a = 0.2 m
Thus
This is the relation between .
Answer:
There are 6 (six) 10s in 60.
Explanation:
Divide 60 by 10