Hello,
I am going to remember:
y'+3y=0==>y=C*e^(-3t)
y'=C'*e^(-3t)-3C*e^(-3t)
y'+3y=C'*e^(-3t)-3Ce^(-3t)+3C*e^(-3t)=C'*e^(-3t) = t+e^(-2t)
==>C'=(t+e^(-2t))/e^(-3t)=t*e^(3t)+e^t
==>C=e^t+t*e^(3t) /3-e^(3t)/9
==>y= (e^t+t*e^(3t)/3-e^(3t)/9)*e^(-3t)+D
==>y=e^(-2t)+t/3-1/9+D
==>y=e^(-2t)+t/3+k
A guest orders a drink = <span>1½ ounces of 80-proof vodka and 12 ounces of beer
it means it contains 2 drinks.
Because 3 ounces of 80 proof vodka is considered as 2 drinks and half of that will be considered as 1 drink, and 12 ounces of beer is considered as one drink so the total drinks this beverage contains is two drinks.</span>
The stereo system costs $256.
Step-by-step explanation:
Given:
Cost of the stereo system = $320.
The discount Zenaida received = 20%.
To Find:
Cost of the stereo system after the discount=?
Solution:
Step1: Finding the discount amount:
Discount percentage =20
Discount amount = original cost × discount percent
Substituting the values,
Step 2: Removing the discounted amount from the original price
Final cost of the stereo system =original cost of the stereo system –discount amount
Substituting the values we get,
Final cost=320-64
Final cost=256
Result:
Thus the cost of the stereo system after discount is $256
Answer: (80% , 85%)
Step-by-step explanation:
We know that, confidence interval for population proportion is given by :-
(p-E , p+E)
, where p = sample proportion , E = Margin of error.
Given : Proportion of elementary school teachers who are female = 82%.
The article also states the maximum error of their estimate = 3%.
Then, the 90% confidence interval for the proportion of elementary school teachers who are female will be :
(82%-2% , 82%+3%)
= (80% , 85%)
Hence, the resulting 90% confidence interval for the proportion of elementary school teachers who are female = (80% , 85%)
Answer:
How many standard deviations above the mean is 14,500 hours? 1.25 1.5 2.5 Using the standard normal table, the probability that Seth's light bulb will last no more than 14,500 (P(z ≤ 1.25)) hours is about ✔ 89% .
