It appears that you have a derivative and want to integrate...
dy/dx=1+3√x
y(x)=x+(2/3)x^(3/2)+C you are given that f(4)=25 so we can solve for the constant of integration...
y(4)=25=4+16/3+C
21=16/3+C
(63-16)/3=C
47/3=C so
f(x)=x+(2/3)x^(3/2)+47/3
f(x)=(3x+2x^(3/2)+47)/3
The surface area of a cone is equal to the base plus the lateral area.
The base is a circle, and has a diameter of 16 meters.
The radius is always half the diameter, so it is 8 meters.
The area of a circle = πr², where r is the radius. π(8)² = 64π ≈ 201.06193
The area of the base is ≈ 201.06193.
To find the lateral area of the cone, we need to find the slant height.
Since the height, radius, and slant height of the cone form a right triangle, we can use the Pythagorean Theorem to find the slant height with what we are given.
radius² + height² = slant height²
8² + 37² = slant height²
64 + 1369 = slant height²
1433 = slant height²
slant height = √1433
The lateral area of a cone is equal to πrl, where r = radius and l = slant height.
πrl = π(8)(√1433) ≈ 951.39958
(there are other formulas which do the same thing, but it doesn't matter.)
Now we add the lateral area and base together to find our surface area.
201.06193 + 951.39958 = 1152.46151 which rounds to C. 1,152 m².
Answer:
Rational
Step-by-step explanation:
The fraction -3/4 can be written as a ratio, and is a finite amount, making it rational.
Answer:
d = 25
Step-by-step explanation:
Perhaps you want to solve for d:
(0.3d -1.5)/(3 1/3) = 0.84/(7/15)
Change the division by a fraction to multiplication by its inverse.
(0.3d -1.5)·(3/10) = (0.84)·(15/7)
0.09d -0.45 = 1.8 . . . . . . . . . . . . simplify
d - 5 = 20 . . . . . . . . . . . . . . . . . . divide by 0.09
d = 25 . . . . . . . . . . . . . . . . . . . . . add 5
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Grouping symbols help show what is being divided by what. Especially where mixed numbers are involved, parentheses help show that the number 3 1/3 is not supposed to be interpreted as the product of 3 and 1/3.
Y=1/2x-2 on the graph -2 would be the y intercept and x/y is slope so to find y as one you go in the middle of -2 and four
