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GuDViN [60]
3 years ago
7

A rectangle has a perimeter of 32 in. find the length and width of the rectangle under which the area is the largest. follow the

steps: (a) let the width to be x and the length to be y , then the quantity to be maximized is (expressed as a function of both x
Mathematics
1 answer:
Dafna1 [17]3 years ago
5 0
Let width and length be x and y respectively.
Perimeter (32in) =2x+2y=> 16=x+y => y=16-x
Area, A = xy = x(16-x) = 16x-x^2
The function to maximize is area: A=16 x-x^2
For maximum area, the first derivative of A =0 => A'=16-2x =0
Solving for x: 16-2x=0 =>2x=16 => x=8 in
And therefore, y=16-8 = 8 in
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Mrs. Smith gave two classes the same quiz. She randomly selected 5 students from each class to compare the classes. The scores o
Tasya [4]

The mean and range for class A are 84.4 and 20 while the mean and range for class B are 83.6 and 8. Class B is more consistant then class A.

<h3>How to calculate the mean?</h3>

We can see from the data that the consistency of class B is more becuase the repeatation of the same score is more in class B then class A  and the range of class B is also less then the class A.

It should be noted that mean simply means average. It's the addition of the numbers divided by the total numbers.

In this case, the computation will be:

Class A: Mean = 422/5= 84.4.

Range: 94-74 = 20

Class B: Mean = 418/5 = 83.6.

Range= 88-80 = 8

Learn more about mean on:

brainly.com/question/1136789

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4 0
2 years ago
the amount of rhubarb in the original is 3 1/2 cups using what you know of whole numbers and what you know of fractions explain
LuckyWell [14K]
To triple this number, you can triple the whole number, triple the fraction, then add them together.

3*3=9
1/2*3=3/2 (or 1 1/2)

Add them together.

9+1 1/2= 10 1/2
5 0
3 years ago
It takes 4 pounds of apples to make 6 cups of applesauce.
Serjik [45]

Answer:

Step-by-step explanation:

4lbs of apples to 6 cups of apple sauce

we can write this as 2:3

the correct choices: 6:9 and 14:21

4 0
3 years ago
Please help I need an answer quickly, please
Alexandra [31]

Answer:

704

Step-by-step explanation:

8 x 8 x 8 I think its the answer hope it helps

8 0
2 years ago
Read 2 more answers
Please help! really rusty on properties ^-^
marta [7]
A is additive equality, where -x and x adds to 0
b is distributive, where x(y+z)=xy+xz
c is multiplicative equality, where x*1=x
d is subtracting both sides by 3.
4 0
3 years ago
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