Let's say you had the number 70.
70
/ \
10 7
/ \
5 2
Answer: 7,5,2 are your prime numbers
ANSWER: 119
180 - 71 - 48 = 61
180 - 61 = 119
Answer:
see explanation
Step-by-step explanation:
Given
x - 6y = 18
To find the x- intercept let y = 0 in the equation and solve for x, that is
x - 0 = 18
x = 18 ← x- intercept ⇒ (18, 0 )
To find the y- intercept let x = 0 in the equation and solve for y, that is
0 - 6y = 18
- 6y = 18 ( divide both sides by - 3 )
y = - 3 ← y- intercept ⇒ (0, - 3 )
Answer:
V(x,y,z) ≈ 61.2 in
Step-by-step explanation:
for the function f
f(X)=x³
then the volume will be
V(x,y,z)= f(X+h) - f(X) , where h= 0.2 (thickness)
doing a Taylor series approximation to f(x+h) from f(x)
f(X+h) - f(X) = ∑fⁿ(X)*(X-h)ⁿ/n!
that can be approximated through the first term and second
f(X+h) - f(X) ≈ f'(x)*(-h)+f''(x)*(-h)²/2 = 3*x²*(-h)+6*x*(-h)²/2
since x=L=10 in (cube)
f(X+h) - f(X) ≈ 3*x²*(-h)+6*x*(-h)²/2 = 3*L²*h+6*L*h²/2 = 3*L*h*(h+L)
then
f(X+h) - f(X) ≈ 3*L*h*(h+L) = 3* 10 in * 0.2 in * ( 0.2 in + 10 in ) = 61.2 in
then
V(x,y,z) ≈ 61.2 in
V real = (10.2 in)³-(10 in)³ = 61 in
