Answer:
60 square foot
Step-by-step explanation:
Perimeter of a rectangular garden = 58 foot
Let x and y denote length and width of the rectangular garden.
2 (Length + Width) = Perimeter of the rectangular garden

So,
length = x
width = y = 
The length is reduced by 7 feet and the width becomes half.
New length = 
New width = 
New perimeter = 34 foot
![2[(x-7)+\frac{1}{2}(29-x)]=34\\ 2[2(x-7)+(29-x)]=2(34)\\2(x-7)+(29-x)=34\\2x-14+29-x=34\\2x-x-14+29=34\\x+15=34\\x=34-15\\x=19](https://tex.z-dn.net/?f=2%5B%28x-7%29%2B%5Cfrac%7B1%7D%7B2%7D%2829-x%29%5D%3D34%5C%5C%202%5B2%28x-7%29%2B%2829-x%29%5D%3D2%2834%29%5C%5C2%28x-7%29%2B%2829-x%29%3D34%5C%5C2x-14%2B29-x%3D34%5C%5C2x-x-14%2B29%3D34%5C%5Cx%2B15%3D34%5C%5Cx%3D34-15%5C%5Cx%3D19)
So,
New length 
New width = 
Area of the new smaller garden = New length × New Width
= 12 × 5
= 60 square foot
Answer:
The equation would be y = 3/2x + 3
Step-by-step explanation:
First we have to find the slope of the original line. We can do this by solving for y.
2x + 3y = 15
3y = -2x + 15
y = -2/3x + 5
Now that we have the slope of -2/3, we know the slope of the new line will be 3/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use that and a point in point-slope form to find the equation.
y - y1 = m(x - x1)
y + 3 = 3/2(x + 4)
y + 3 = 3/2x + 6
y = 3/2x + 3
There is no photo attached.
Answer:
The probability is
16%
Step-by-step explanation:
From the question we are told that
A is the event that the chip was "made by company A"
B is the event that a chip "survives 500 temperature cycles"
The probability that a computer chip survives more than 500 temperature cycles is
% 
The probability that does not survive more than 500 temperature cycles and it was manufactured by company A is 
The probability that the computer chip is not manufactured by company A and does not survive more than 500 temperature cycles is mathematically evaluated as

Where
are a A and B complements and | represented AND operator
So
![P(B' n A ' ) = [1 - P (B' | A )] [1 - P(B )]](https://tex.z-dn.net/?f=P%28B%27%20n%20A%20%27%20%29%20%3D%20%5B1%20-%20%20P%20%28B%27%20%7C%20A%20%29%5D%20%5B1%20-%20P%28B%20%29%5D)
substituting values
16%
Answer:
0.000000001
Step-by-step explanation:
Let's convert this :
0.000000001
tHT M B
t=tenths
H=Hundredths
T=Thousandths
M=millionths
B=Billionths