Aimee is shipping a care package to her friend in college, the max volume of the box is mathematically given as
V=1539.6007
<h3>What is the max
volume of the box?</h3>
Generally, the equation for the height is mathematically given as
V=(20-2x)(40-2x)x
Where x is the height
V=4x^3-120x^2+800x
differentiate v and solve
dv/dx=3x^2-60+200
3x^2-60+200=0
Therefore
x=
x=
x=4.2265
In conclusion, the second differentiation of v and solve we have
d^2v/dx^2=24-240
Hence
d^2v/dx^2< 0
V=(20-2x(40-2x)x
subsitute x
V=(20-2(4.2265))(40-2(4.2265))(4.2265)
V=1539.6007
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Answer:
x=65
Angle 1=65
Angle 2=115
Step-by-step explanation:
We know that angle 1 + angle 2 = 180. Writing it in terms of x, we get x + (x + 50)= 180. Then you have 2x+50=180. Subtracting 50 from both sides gives you 2x=130. Dividing both sides by 2, you get x=65. Angle 1 is 65 degrees. 180-65=115.
Answer: 13
Step-by-step explanation:
add 21 both sides
divide both sides by 7
So more than 13 cars
Answer:
y = 5x + 4
Step-by-step explanation:
Equation of a line passing through a point (x', y') and having slope 'm' is represented by,
y - y' = m(x - x')
If the point through which the given line is passing is (0, 4) and slope of the line is '5'
Equation of the line will be
y - 4 = 5(x - 0)
y = 5x + 4
Therefore, equation of given line is y = 5x + 4
Answer:
p(chocolate chip) = 2/7
p(oatmeal) = 7/27
Step-by-step explanation:
probability = favorable outcomes/total outcomes
First, add up all the cookies in the bag.
8 + 6 + 7 + 7 = 28
Next find the probability of selecting a chocolate chip cookie. Since there are 8 chocolate chip cookies and 28 cookies in the bag, create a fraction.
p(chocolate chip) = 8/28
reduce by 4
p(chocolate chip) = 2/7
Now that the cookie was eaten that will reduce the number of chocolate chip cookies to 7 and the overall number of cookies to 27.
There are 7 oatmeal cookies and 27 total cookies, so create the fraction.
p(oatmeal) = 7/27
