Answer:
We will add 3 to each side of the equation
Step-by-step explanation:
x^2 − 8x + 13 = 0
We want to complete the square
We will subtract 13 from each side of the equation
x^2 -8x +13 -13 = 0 -13
x^2 -8x = -13
Then take the coefficient of x
-8
Divide by 2
-8/2 = -4
Square it
(-4)^2 = 16
Add this to each side
x^2 -8x +16 = -13+16
( x-4) ^2 = 3
The sum of subtracting 13 and adding 16 is adding 3
<span>(a) you can show the concentration by:
amount of salt / amount of water
amount of salt
= 30g / L
= [ 30 * 25g ] / [ 25L ] , 25L = 1 min
= [ 30 * 25g ] / min
amount of water
= 5000 + 25t
[ 30 * 25t ] / [ 5000 + 25t ]
= [ 30 * 25t ] / 25*[ 200 + t ]
= 30t / [ 200 + t ] yeah
(b)
lim t->∞ [ 30t / ( 200 + t ) ]
= lim t->∞ [ ( (1 / t) * 30t ) / ( (1 / t) * ( 200 + t ) ) ]
= lim t->∞ [ 30 / ( (200 / t) + 1 ) ]
= 30 / ( (200 / ∞) + 1 )
= 30 / 1
= 30
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Step-by-step explanation:
The volume of a cone can be derived by writing an expression that represents the volume of one cone within the cylinder.
the expression for the volume of a cylinder is

the volume of a cone is a part of the volume of a cylinder

Hence the volume of a cone can be derived by dividing the volume of a cylinder by 3
Answer:
0.0782 (7.82%)
Step-by-step explanation:
The required probability will be found by using the Binomial Distribution which fits the case of n independent events each with a probability of success equal to p with k successes.
The PMF (Probability Mass Function) is

Where 
LabTech states that the probability that a microscope is defective is 0.17%, p=0.0017, q=0.9983. We need to know the probability that k=1 microscope is defective out of a set of n=50 of them. We now apply the formula

Which means that there is a 7.82% of probability to get 1 defective microscope out of the first 50
600 becuase 90/.30= 300 and 300*2 =600