You have to make 2 and 2/12 into a improper fraction =26/12 then Do 17/12-26/12 Which is 9/12
27 prime factors: 9*3 prime factors of 9: 3*3
117 prime factors: 39*3 prime factors of 39: 13*3
that would make 3 the greatest common factor. for the other ones break down the numbers into the smallest amount and see which largest factor both numbers have in common.
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Answer:
Option B. 9 ml.
Step-by-step explanation:
Recommended dose of a drug = 5 mg/kg body weight.
weight of the cat = 8 lb
1 lb = 0.4536 kg.
8 lb = 0.4536 × 8 = 3.6288 kg. ≈ 3.6 kg
A solution contains a concentration of 2 mg/ml
so recommended dose for 3.63 kg = 5mg × 3.6 = 18 mg
∵ 1 ml. contains a concentration = 2 mg
∴ for 18 mg concentration dose will be = 18/2 = 9 ml
9 ml of the solution should be given to a cat.
Option B. 9 ml.
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:
why a math problem
Step-by-step explanation:
math is hard
