Answer:
c
Step-by-step explanation:
Answer:
0.8989
Step-by-step explanation:
Using the Newton's Raphson approximation formula.
Xn+1 = Xn - f(Xn)/f'(Xn)
Given f(x) = x³-2x+2
f'(x) = 3x²-2
If the initial value X1 = 2
X2 = X1 - f(X1)/f'(X1)
X2 = 2 - f(2)/f'(2)
f(2) = 2³-2(2)+2
f(2) = 8-4+2
f(2) = 6
f'(2) = 3(2)²-2
f'(2) = 10
X2 = 2- 6/10
X2 = 14/10
X2 = 1.4
X3 = X2 - f(X2)/f'(X2)
X3 = 1.4 - f(1.4)/f'(1.4)
f(1.4) = 1.4³-2(1.4)+2
f(1.4) = 2.744-2.8+2
f(1.4) = 1.944
f'(1.4) = 3(1.4)²-2
f'(1.4) = 3.880
X3 = 1.4- 1.944/3.880
X3 = 1.4 - 0.5010
X3 = 0.8989
Hence the value of X3 is 0.8989
The surface area of a cylinder is:
A=2pr^2+2prh
A=2pr(r+h) we are approximating π as 3.14, r=12, and h=8 so
A=2(3.14)12(12+8)
A≈1507.2
A≈1507 m^2 to nearest m^2
Answer:
Movie: $4.25
Video Game: $5.25
Step-by-step explanation:
For this problem, we can use system of equations to solve for the rental costs of the movies and video games. Let's use x for movies and y for video games.
Equation 1
5x+3y=37
Equation 2
2x+6y=40
To start, we can use elimination to solve for x and y. Let's cancel out y. To do so, we have to multiply the first equation by 2 to get the y equal.
10x+6y=74
Now that the y are equal, we can subtract both equations.
8x=34
x=4.25
The movie rental cost is $4.25.
Now that we know x, we can plug in to find y.
2(4.25)+6y=40
8.5+6y=40
6y=31.5
y=5.25
The rental cost for video games is $5.25.
Answer:
2175
Step-by-step explanation:
y = k sqrt(x)
x = 625
y = 87
87 = k * sqrt(625)
87 = k * 25
87/25 = k
k = 3.48
y = 3.48 * sqrt(390625)
y = 3.48 * 625
y = 2175
