Answer:
Step-by-step explanation:
Let C represent number of dairy cows.
We have been given that each dairy cow produces 3500 gallons of milk per year. So amount of milk produced by C cows in 1 year would be gallons.
We are also told that the dairy sells milk for 2.00 per gallon. So yearly income I, in dollars for the dairy milk production would be 2.00 times the yearly milk production.
Since yearly milk production from C cows is , so Income would be:
Therefore, the formula represents yearly income (I) as a linear function of C.
Complete the square to rewrite the quadratic:
2 <em>x</em>² + 3 <em>x</em> + 5 = 2 (<em>x</em>² + 3/2 <em>x</em>) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + 9/16 - 9/16) + 5
... = 2 (<em>x</em>² + 3/2 <em>x</em> + (3/4)²) + 5 - 9/8
... = 2 (<em>x</em> + 3/4)² + 31/8
Any real number squared becomes non-negative, so the quadratic expression has a minimum value of 31/8, which is greater than 0, and so there are no (real) <em>x</em> for which <em>y</em> = 0.
Answer:
3.5 cm
Step-by-step explanation:
In the picture attached, circle M is shown.
From the picture, minor arc JH measures 25°.
The length of the circle is π*Diameter = π*16 = 50.26 cm. This length is proportional to 360°. To find the length of minor arc JH, we have to use the next proportion:
50.26 cm / x cm = 360° / 25°
x = 50.26*25/360
x = 3.5 cm
Answer:
(25.732,30.868)
Step-by-step explanation:
Given that in a random sample of 42 people, the mean body mass index (BMI) was 28.3 and the standard deviation was 6.09.
Since only sample std deviation is known we can use only t distribution
Std error =
t critical for 99% two tailed
Margin of error
Confidence interval lower bound =
Upper bound =
The most likely number of bags of peanuts she
sold is 20 bags of peanut at at $4 each
<h3>Equation</h3>
Kiyo:
94 = 10 + x
94 - 10 = x
84 = x
Aleja
94 = 14 + y
94 - 14 = y
80 = y
- Find the highest common factor of 84 and 80
80 = 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80.
84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84
- The highest common factor is 4
80 ÷ 4 = 20 bags of peanut
84 ÷ 4 = 21 bags of peanut
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