Answer:
9
Step-by-step explanation:
So, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)
if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer
Answer:
The correct answer is B. -3.
Step-by-step explanation:
To solve this problem, we need to plug in -3 for all of the values of x in the equation. If we do this, we get:
f(x) = 2x + 3
f(-3) = 2(-3) + 3
Now, we can just simplify the expression found on the right side of the equation using PEMDAS. First, we should perform the multiplication.
f(-3) = -6 + 3
Next, we should add our final two terms together.
f(-3) = -3
Therefore, the correct answer is -3.
Hope this helps!
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
Answer:
Step-by-step explanation:
Given 3x-4y=65
Y=4
So 3x-4×4=65
3x-16=65
3x=65+16
X=81/3
X=27
So value of X is 27
