The car takes the time 5.5 hours i.e.5 hours and 30 minutes to travel 462 kilometres when the car travels at average speed of 84 kilometres per hour
Given the average speed of the car is 84 kilometres per hour and the distance to be travelled is 462 kilometres and asked to find the time taken for the journey of 462 kilometres
To calculate the time taken for the journey we use the below-mentioned formula
(speed)×(Time taken)=distance
Time taken=
Time taken=5.5 hours i.e.5 hours and 30 minutes
As a result, the time spent on the car journey is 5.5 hours
Hence, It takes the time 5hours and 5 minutes to travel 462 kilometres
Learn more about time here:
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<span>σ</span> is a symbol for summation that means that it is used to add all the vales of the equation in the range
for example taking 0<x<4 and x is an integer
so Ď(x - 2)^2= (1-2)^2+(2-2)^2+(3-2)^2
The options were
a. Square each value
b. Subtract 2 points from each score
C. Sum the squared values
d. Subtract 22 from each X2 value
As we can see above the answer is C. Sum the squared values
Answer:
(a)Length =2 feet
(b)Width =2 feet
(c)Height=3 feet
Step-by-step explanation:
Let the dimensions of the box be x, y and z
The rectangular box has a square base.
Therefore, Volume of the box
Volume of the box
The material for the base costs 
, the material for the sides costs 
, and the material for the top costs 
.
Area of the base 
Cost of the Base 
Area of the sides 
Cost of the sides=
Area of the Top
Cost of the Base 
Total Cost, 
Substituting 
To minimize C(x), we solve for the derivative and obtain its critical point
![C'(x)=\dfrac{0.6x^3-4.8}{x^2}\\Setting \:C'(x)=0\\0.6x^3-4.8=0\\0.6x^3=4.8\\x^3=4.8\div 0.6\\x^3=8\\x=\sqrt[3]{8}=2](https://tex.z-dn.net/?f=C%27%28x%29%3D%5Cdfrac%7B0.6x%5E3-4.8%7D%7Bx%5E2%7D%5C%5CSetting%20%5C%3AC%27%28x%29%3D0%5C%5C0.6x%5E3-4.8%3D0%5C%5C0.6x%5E3%3D4.8%5C%5Cx%5E3%3D4.8%5Cdiv%200.6%5C%5Cx%5E3%3D8%5C%5Cx%3D%5Csqrt%5B3%5D%7B8%7D%3D2)
Recall: 
Therefore, the dimensions that minimizes the cost of the box are:
(a)Length =2 feet
(b)Width =2 feet
(c)Height=3 feet
Answer
Let t be number of minutes since tap is opened
water is increased by 20 gallons of water per minute.
sugar increase rate of 3 pounds per minute
water :- W(t) = 350 + 10 t
sugar :- S(t) = 10 + 3 t
concentration
C(t) = 
at t = 15 minutes
C(15) = 
C(15) = 
C(15) = 0.11
at beginning t = 0 minutes
C(0) = 
C(0) = 
C(0) = 0.0286
C(15) > C(0)
hence, concentration is increasing as time is passing.
Step-by-step explanation:
- You can use the distributive formula to answer:
a(b - c) = ab - ac
2(3x - 1) - 3x + 4
6x - 2 - 3x + 4
- Simplify by the common terms:
3x + 2
That is the answer
Hope that helped!!
~A̷l̷i̷s̷h̷e̷a̷♡
