Answer:
A) 32 kg/m
B) 48 kg/m
C) 72 kg/m
Step-by-step explanation:
We are given mass is; m = 4x²
Linear density is the derivative of mass with respect to the position x. So linear density is;
ρ = dm/dx
Differentiating 4x²,we have; ρ = 8x
A)at x = 4; ρ = 8(4) = 32 kg/m
B) at x = 6; ρ = 8(6) = 48 kg/m
C) at x = 9; ρ = 8(9) = 72 kg/m
Answer:
12.8% decrease
Step-by-step explanation:
if you find the unit rate for the sale, which would be 125 cents divided by 3 cans, equals around 43.6 cents per can. 43.6 cents is an x% decrease of 50 cents, and to find x easily i multiplied by 2. 43.6 x 2=87.2, and 50 x 2 = 100. that means that the sale price is 87.2 % of the original price, which is a 12.8% decrease.
The required the average daily census for this period is 12.
<h3>What is Average?</h3>
A Average can be characterized as the amount of all numbers isolated by the all out number of values. A mean can be characterized as a normal of the arrangement of values in an example of information. At the end of the day, a normal is likewise called the math mean. It is known as a mean to Depict the average.
<h3 /><h3>According to question:</h3>
there were 2,200 inpatient service days.
Number of days between this period = 184 days
So, average daily census = 2200/184
11.95
⇒ 12 up to whole number.
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Based on the information given, the speed is 20 miles per hour.
From the information given, the winner of the local triathlon swam 0.5 miles, biked 15 miles and ran 2.5 miles and he finished the race in 54 minutes.
Note that 54 minutes = 0.9 hour.
The speed will be:
= (0.5 + 15 + 2.5) / 0.9
= 18/0.9
= 20 miles per hour.
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Answer: False
Systems of linear equations can only have 0, 1, or an infinite number of solutions. These two lines cannot intersect twice. The correct answer is that the system has one solution.
Step-by-step explanation:
