It is 28350 merry Christmas
Answer:
It is the short leg.
Step-by-step explanation:
The triangle and is called a right triangle and the side opposite the 30-degree angle is the shorter leg
DB/dt = 1/5(100 - B)
5/(100 - B) dB = dt
-5 ln (100 - B) = t + C
Since B(0) = 20, then
-5 ln (100 - 20) = C
i.e. C = -5 ln 80
Thus -5 ln (100 - B) = t - 5 ln 80
or t = 5 ln 80 - 5 ln (100 - B) = 5 ln (80 / (100 - B))
When the weight = 40 grams
t = 5 In (80 / 100 - 40) = 5 In (80 / 60) = 5 ln (4/3) = 1.438 days
Rate of weight gain = 40 / 1.438 = 27.8 grams per day
When the weight = 70 grams
t = 5 ln (80 / 100 - 70) = 5 ln (80 / 30) = 5 ln (8/3) = 4.9 days
Rate of weight gain = 70/4.9 = 14.27 grams per day.
Therefore, the duck gains weight faster when it weighs 40 grams.
Answer:
The mean score in the math test for class B=28.47
Step-by-step explanation:
<em>Step 1: Determine the total number of students in both Classes</em>
Total number of students=number in class A+number in class B
where;
number in class A=11 pupils
number in class B=15 pupils
replacing;
Total number of students=11+15=26 students
<em>Step 2: Determine total score for both classes</em>
Total score for both classes=total score for class A+total score for class B
total score for both classes=mean score for both classes×total number of students
total score for both classes=(49×26)=1,274
total score for class A=mean score for class A×total number of class A students
total score for class A=(77×11)=847
total score for class B=mean score for class B×total number of class B students
total score for class B=m×15=15 m
replacing;
1,274=847+15 m
15 m=1,274-847
15 m=427
m=427/15=28.47
The mean score in the math test for class B=28.47
Answer:
Thus, a golden retriever should be given 19 teaspoon of medicine.
Step-by-step explanation:
- Given that a golden retriever weighing 85 pounds has diarrhea. His medicine is prescribed as 1 teaspoon per 5 pounds.
- To find how much medicine should he be given.
- Assign a variable. Write a sentence that gives the information to find it.
- Translate into a proportion be careful of the units.
- Multiply both sides by the Least Common Denominator and simplify. Check the answer.
Step 1 of 3
Write the data in mathematical form and simplify.
Let x=the number of teaspoon
If 1 teaspoon medicine is 5 pounds then 85 pounds is how many teaspoon of medicine.
Translate the statement into proportion.
Step 2 of 3
Multiply both sides by x and simplify
5x=85
Divide by 5,
<em>Simplify, x=19</em>
<em>Step 3 of 3</em>
<em>Check the answer.</em>
<em>Substitute x=19 in original proportion and simplify.</em>
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