Answer:
Below.
Step-by-step explanation:
To find the answer, you have to compare the two equations:
and ![y=\frac{1}{5}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B5%7D)
So first, the graph looks different because the two slopes are different. The first one will be more vertical than the second one.
The second difference is the y - intercepts. The first equation starts at (0, 60) and the second starts at the origin.
7/8-3/8=
Is it more than one half or less then one half
Answer:
Length of the sides of the base (x) = 7.606 ft
Height (h) = 3.802 ft
The minimum surface area is 173.55 ft²
Step-by-step explanation:
Surface area is given by:
![S(x) = x^2+\frac{880}{x}](https://tex.z-dn.net/?f=S%28x%29%20%3D%20x%5E2%2B%5Cfrac%7B880%7D%7Bx%7D)
The value of x for which the derivate of the surface area function is zero, is the length of the sides of the base that minimizes surface area:
![S(x) = x^2+\frac{880}{x} \\\frac{dS(x)}{dx}=0=2x-\frac{880}{x^2}\\x^3=440\\x=7.606\ ft](https://tex.z-dn.net/?f=S%28x%29%20%3D%20x%5E2%2B%5Cfrac%7B880%7D%7Bx%7D%20%5C%5C%5Cfrac%7BdS%28x%29%7D%7Bdx%7D%3D0%3D2x-%5Cfrac%7B880%7D%7Bx%5E2%7D%5C%5Cx%5E3%3D440%5C%5Cx%3D7.606%5C%20ft)
The height of the box is given by:
![V=hx^2\\220 =h*7.606^2\\h=3.802\ ft](https://tex.z-dn.net/?f=V%3Dhx%5E2%5C%5C220%20%3Dh%2A7.606%5E2%5C%5Ch%3D3.802%5C%20ft)
The dimensions of the box with minimum surface area are:
Length of the sides of the base (x) = 7.606 ft
Height (h) = 3.802 ft
The absolute minimum is:
![S(x) = 7.606^2+\frac{880}{7.606}\\S_{min}=173.55\ ft^2](https://tex.z-dn.net/?f=S%28x%29%20%3D%207.606%5E2%2B%5Cfrac%7B880%7D%7B7.606%7D%5C%5CS_%7Bmin%7D%3D173.55%5C%20ft%5E2)
The minimum surface area is 173.55 ft²
For adding and subtracting fractions always make sure you have common denominators. Multiplication of fractions allows you to multiply fractions across without having common denominators. For mixed fractions, make sure your whole numbers are multiplied by the denominator and then added to the number in the numerator. If you have checked these steps, you should be good to go with your working and solving.
5)7/5+98/15 →LCD=15→7 14/15
6)46/9-17/6 →LCD=18 →2 5/18
7)multiply across → 4/15
8)multiply across (put a 1 under 12 if that helps) 36/4=9
9)23/4×32/3=736/12 → 61 1/3
10)LCD= 8 →1 3/8
11)(put a 1 under 9 if that helps) LCD=3→13 2/3
12)25/6+17/5 →LCD=30 →7 17/30
-E :)
Answer:
50.2 m²
Step-by-step explanation:
The area (A) of a circle is calculated as
A = πr² ( r is the radius , here r = 4 ), thus
A = π × 4² = 16π = 16 × 3.14 ≈ 50.2 ( to the nearest tenth )