The answer is 8...............
Answer: Q1=20 Q2=39
Step-by-step explanation:
For question one all you have to do is multiply 20x35x8 giving you 5600. For question two just multiply 39x7x8 giving you 2184. Beat of luck.
Answer:
1. y' = 3x² / 4y²
2. y'' = 3x/8y⁵[(4y³ – 3x³)]
Step-by-step explanation:
From the question given above, the following data were obtained:
3x³ – 4y³ = 4
y' =?
y'' =?
1. Determination of y'
To obtain y', we simply defferentiate the expression ones. This can be obtained as follow:
3x³ – 4y³ = 4
Differentiate
9x² – 12y²dy/dx = 0
Rearrange
12y²dy/dx = 9x²
Divide both side by 12y²
dy/dx = 9x² / 12y²
dy/dx = 3x² / 4y²
y' = 3x² / 4y²
2. Determination of y''
To obtain y'', we simply defferentiate above expression i.e y' = 3x² / 4y². This can be obtained as follow:
3x² / 4y²
Let:
u = 3x²
v = 4y²
Find u' and v'
u' = 6x
v' = 8ydy/dx
Applying quotient rule
y'' = [vu' – uv'] / v²
y'' = [4y²(6x) – 3x²(8ydy/dx)] / (4y²)²
y'' = [24xy² – 24x²ydy/dx] / 16y⁴
Recall:
dy/dx = 3x² / 4y²
y'' = [24xy² – 24x²y (3x² / 4y² )] / 16y⁴
y'' = [24xy² – 18x⁴/y] / 16y⁴
y'' = 1/16y⁴[24xy² – 18x⁴/y]
y'' = 1/16y⁴[(24xy³ – 18x⁴)/y]
y'' = 1/16y⁵[(24xy³ – 18x⁴)]
y'' = 6x/16y⁵[(4y³ – 3x³)]
y'' = 3x/8y⁵[(4y³ – 3x³)]
Answer: 325/790 rounded to the nearest hundredths place is <em>0.41</em>
Step-by-step explanation:
if you divide 325/790 you get 0.411 and some other numbers. We only need to focus on these 3 numbers. 4 is the tenths place value and the first 1 is in the hundredths place value. Sense the second 1 (which is in the thousandths place value) is less than 5, we don't round the 1 in the hundredths place value up. Meaning your answer is 0.411.
Hopefully this makes sense.
Answer:
0.43715
Step-by-step explanation:
We solve using z score calculator
z = (x-μ)/σ, where
x is the raw score
μ is the population mean = $276,000
σ is the population standard deviation = 32,000
For x = $276,000
z = 276,000 - 276,000/32000
z = 0
Probability value from Z-Table:
P(x = 276000) = 0.5
For x = $325,000
z = 325,000 - 276,000/32000
z = 1.53125
Probability value from Z-Table:
P(x = 325000) = 0.93715
The probability that the next house in the community will sell for between $276,000 and $325,000 is
P(x = 325000) - P(x = 276000)
= 0.93715 - 0.5
= 0.43715
